History of Solar System formation and evolution hypotheses
Ideas concerning the origin and fate of the world date from the earliest known writings; however, for almost all of that time, there was no attempt to link such theories to the existence of a "Solar System", simply because almost no one knew or believed that the Solar System, in the sense we now understand it, existed. The first step towards a theory of Solar System formation was the general acceptance of heliocentrism, the model which placed the Sun at the centre of the system and the Earth in orbit around it. This conception had been gestating for thousands of years, but was only widely accepted by the end of the 17th century. The first recorded use of the term "Solar System" dates from 1704.
- 1 Currently accepted hypotheses
- 2 Formation hypothesis
- 2.1 Alternative theories
- 2.1.1 Tidal theory
- 2.1.2 The Chamberlin-Moulton model
- 2.1.3 Lyttleton's scenario
- 2.1.4 Band-structure model
- 2.1.5 Interstellar cloud theory
- 2.1.6 Hoyle's hypothesis
- 2.1.7 Kuiper's theory
- 2.1.8 Whipple's theory
- 2.1.9 Urey's model
- 2.1.10 Protoplanet theory
- 2.1.11 Cameron's hypothesis
- 2.1.12 Capture theory
- 2.1.13 Solar fission
- 2.1.14 Herndon's model
- 2.1.15 Classification of the theories
- 2.2 Reemergence of the nebular hypothesis
- 2.3 Outstanding issues
- 2.1 Alternative theories
- 3 Solar evolution hypotheses
- 4 Lunar origins hypotheses
- 5 References
Currently accepted hypotheses
The most widely accepted theory of planetary formation, known as the nebular hypothesis, maintains that 4.6 billion years ago, the Solar System formed from the gravitational collapse of a giant molecular cloud which was light years across. Several stars, including the Sun, formed within the collapsing cloud. The gas that formed the Solar System was slightly more massive than the Sun itself. Most of the mass collected in the centre, forming the Sun; the rest of the mass flattened into a protoplanetary disc, out of which the planets and other bodies in the Solar System formed.
Just as the Sun and planets were born, so they will eventually die. As the Sun begins to age, it will cool and bloat outward to many times its current diameter, becoming a red giant, before casting off its outer layers (forming what is misleadingly called a planetary nebula) and becoming a stellar corpse known as a white dwarf. The planets will follow the Sun's course; some will be destroyed, others will be ejected into interstellar space, but ultimately, given enough time, the Sun's retinue will disappear.
There are, however, arguments against this hypothesis.
French philosopher and mathematician René Descartes was the first to propose a model for the origin of the solar system in his Le Monde (ou Traité de lumière) which he wrote in 1662 and 1663 and for which he delayed publication because of the Inquisition and it was published only after his decease in 1664. In his view, the Universe was filled with vortices of swirling particles and the Sun and planets had condensed from a particularly large vortex that had somehow contracted which explained the circular motion of the planets and was on the right track with condensation and contraction but this was before Newton's theory of gravity and we now know matter does not behave in this fashion.
The vortex model of 1944, formulated by German physicist and philosopher Baron Carl Friedrich von Weizsäcker, which harkens back to the Cartesian model, involved a pattern of turbulence-induced eddies in a Laplacian nebular disc. In it a suitable combination of clockwise rotation of each vortex and anti-clockwise rotation of the whole system can lead to individual elements moving around the central mass in Keplerian orbits so there would be little dissipation of energy due to the overall motion of the system but material would be colliding at high relative velocity in the inter-vortex boundaries and in these regions small roller-bearing eddies would coalesce to give annular condensations. It was much criticized as turbulence is a phenomenon associated with disorder and would not spontaneously produce the highly ordered structure required by the hypothesis. As well, it does not provide a solution to the angular momentum problem and does not explain lunar formation nor other very basic characteristics of the solar system.
The Weizsäcker model was modified in 1948 by Dutch theoretical physicist Dirk Ter Haar, in that regular eddies were discarded and replaced by random turbulence which would lead to a very thick nebula where gravitational instability would not occur. He concluded the planets must have formed by accretion and explained the compositional difference (solid and liquid planets) as due to the temperature difference between the inner and outer regions, the former being hotter and the latter being cooler, so only refractories (non-volatiles) condensed in the inner region. A major difficulty is that in this supposition turbulent dissipation takes place in a time scale of only about a millennium which does not give enough time for planets to form.
The nebular hypothesis was first proposed in 1734 by Emanuel Swedenborg and later elaborated and expanded upon by Immanuel Kant in 1755. A similar theory was independently formulated by Pierre-Simon Laplace in 1796.
In 1749, Georges-Louis Leclerc, Comte de Buffon conceived the idea that the planets were formed when a comet collided with the Sun, sending matter out to form the planets. However, Laplace refuted this idea in 1796, showing that any planets formed in such a way would eventually crash into the Sun. Laplace felt that the near-circular orbits of the planets were a necessary consequence of their formation. Today, comets are known to be far too small to have created the Solar System in this way.
In 1755, Immanuel Kant speculated that observed nebulae may in fact be regions of star and planet formation. In 1796, Laplace elaborated by arguing that the nebula collapsed into a star, and, as it did so, the remaining material gradually spun outward into a flat disc, which then formed the planets.
The nebular hypothesis initially faced the obstacle of angular momentum; if the Sun had indeed formed from the collapse of such a cloud, the planets should be rotating far more slowly. The Sun, though it contains almost 99.9 percent of the system's mass, contains just 1 percent of its angular momentum. This means that the sun should be spinning much more rapidly.
An Attempts to resolve the angular momentum problem led to the temporary abandonment of the nebular hypothesis in favour of a return to "two-body" theories. For several decades, many astronomers preferred the tidal or near-collision hypothesis put forward by James Jeans in 1917, in which the planets were considered to have been formed due to the approach of some other star to the Sun. This near-miss would have drawn large amounts of matter out of the Sun and the other star by their mutual tidal forces, which could have then condensed into planets. However, in 1929 astronomer Harold Jeffreys countered that such a near-collision was massively unlikely. Objections to the hypothesis were also raised by the American astronomer Henry Norris Russell, who showed that it ran into problems with angular momentum for the outer planets, with the planets struggling to avoid being reabsorbed by the Sun.
The Chamberlin-Moulton model
Forest Moulton in 1900 had also shown that the nebular hypothesis was inconsistent with observations because of the angular momentum. Moulton and Chamberlin in 1904 originated the planetesimal hypothesis(see Chamberlin–Moulton planetesimal hypothesis). Along with many astronomers of the day they came to believe the pictures of "spiral nebulas" from the Lick Observatory were direct evidence of forming solar systems. These turned out to be galaxies instead but the Shapley-Curtis debate about these was still 16 years in the future. One of the most fundamental issues in the history of astronomy was distinguishing between nebulas and galaxies.
Moulton and Chamberlin suggested that a star had passed close to the Sun early in its life to cause tidal bulges and that this, along with the internal process that leads to solar prominences, resulted in the ejection of filaments of matter from both stars. While most of the material would have fallen back, part of it would remain in orbit. The filaments cooled into numerous, tiny, solid fragments, ‘planetesimals, ’and a few larger protoplanets. This model received favourable support for about 3 decades but passed out of favour by the late '30s and was discarded in the '40s by the realization it was incompatible with the angular momentum of Jupiter, but a part of it, planetesimal accretion, was retained.
In 1937 and 1940, Ray Lyttleton postulated that a companion star to the Sun collided with a passing star. Such a scenario was already suggested and rejected by Henry Russell in 1935. Lyttleton showed terrestrial planets were too small to condense on their own so suggested one very large proto-planet broke in two because of rotational instability, forming Jupiter and Saturn, with a connecting filament from which the other planets formed. A later model, from 1940 and 1941, involves a triple star system, a binary plus the Sun, in which the binary merges and later breaks up because of rotational instability and escapes from the system leaving a filament that formed between them to be captured by the Sun. Objections of Lyman Spitzer apply to this model also.
Swedish astrophysict Hannes Alfvén, in 1954, 1975, and 1978 included electromagnetic effects in equations of particle motions, and angular momentum distribution and compositional differences were explained. In 1954 he first proposed the band structure in which he distinguished an A-cloud, containing mostly helium, but with some solid- particle impurities ("meteor rain"), a B-cloud, with mostly hydrogen, a C-cloud, having mainly carbon, and a D-cloud, made mainly of silicon and iron. Impurities in the A-cloud form Mars and the Moon (later captured by Earth), in the B-cloud they condense into Mercury, Venus, and Earth, in the C-cloud they condense into the outer planets, and Pluto and Triton may have formed from the D-cloud.
Interstellar cloud theory
In 1943, the Soviet astronomer Otto Schmidt proposed that the Sun, in its present form, passed through a dense interstellar cloud, emerging enveloped in a cloud of dust and gas, from which the planets eventually formed. This solved the angular momentum problem by assuming that the Sun's slow rotation was peculiar to it, and that the planets did not form at the same time as the Sun. Extensions of the model, together forming the Russian school, include Gurevich and Lebedinsky (in 1950), Safronov (in 1967,1969), Safronov and Vityazeff (in 1985), Safronov and Ruskol (in 1994), and Ruskol (in 1981), among others However, this hypothesis was severely dented by Victor Safronov who showed that the amount of time required to form the planets from such a diffuse envelope would far exceed the Solar System's determined age.
Ray Lyttleton modified the theory by showing that a 3rd body was not necessary and proposing that a mechanism of line accretion described by Bondi and Hoyle in 1944 would enable cloud material to be captured by the star (Williams and Cremin, 1968, loc. cit.)
In this model (from 1944) the companion went nova with ejected material captured by the Sun and planets forming from this material. In a version a year later it was a supernova. In 1955 he proposed a similar system to Laplace, and with more mathematical detail in 1960. It differs from Laplace in that a magnetic torque occurs between the disk and the Sun, which comes into effect immediately or else more and more matter would be ejected resulting in a much too massive planetary system, one comparable to the Sun. The torque causes a magnetic coupling and acts to transfer angular momentum from the Sun to the disk. The magnetic field strength would have to be 1 gauss. The existence of torque depends on magnetic lines of force being frozen into the disk (a consequence of a well-known MHD (magnetohydrodynamic) theorem on frozen-in lines of force). As the solar condensation temperature when the disk was ejected could not be much more than 1000 degrees K., a number of refractories must be solid, probably as fine smoke particles, which would grow with condensation and accretion. These particles would be swept out with the disk only if their diam. at the Earth's orbit was less than 1 m. so as the disk moved outward a subsidiary disk consisting of only refractories remains behind where the terrestrial planets would form. The model is in good agreement with the mass and composition of the planets and angular momentum distribution provided the magnetic coupling is an acceptable idea, but not explained are twinning, the low mass of Mars and Mercury, and the planetoid belts. It was Alfvén who formulated the concept of frozen-in magnetic field lines.
Gerard Kuiper (in 1944) argued, like Ter Haar, that regular eddies would be impossible and postulated that large gravitational instabilities might occur in the solar nebula, forming condensations. In this the solar nebula could be either co-genetic with the Sun or captured by it. Density distribution would determine what could form: either a planetary system or a stellar companion. The 2 types of planets were assumed to be due to the Roche limit. No explanation was offered for the Sun's slow rotation which Kuiper saw as a larger G-star problem.
In Fred Whipple's 1948 scenario a smoke cloud of about 60,000 AUs diam. and with 1 solar mass (M☉) contracts and produces the Sun. It has a negligible angular momentum thus accounting for the Sun's similar property. This smoke cloud captures a smaller 1 with a large angular momentum. The collapse time for the large smoke and gas nebula is about 100 mln. yrs. and the rate is slow at first, increasing in later stages. The planets would condense from small clouds developed in, or captured by, the 2nd cloud, the orbits would be nearly circular because accretion would reduce eccentricity due to the influence of the resisting medium, orbital orientations would be similar because the small cloud was originally small and the motions would be in a common direction. The protoplanets might have heated up to such high degrees that the more volatile compounds would have been lost and the orbital velocity decreases with increasing distance so that the terrestrial planets would have been more affected. The weaknesses of this scenario are that practically all the final regularities are introduced as a priori assumptions and most of the hypothesizing was not supported by quantitative calculations. For these reasons it did not gain wide acceptance.
American chemist Harold Urey, who founded cosmochemistry, put forward a scenario in 1951, 1952, 1956, and 1966 based largely on meteorites and using Chandrasekhar's stability equations and obtained density distribution in the gas and dust disk surrounding the primitive Sun. In order that volatile elements like mercury could be retained by the terrestrial planets he postulated a moderately thick gas and dust halo shielding the planets from the Sun. In order to form diamonds, pure carbon crystals, Moon-size objects, gas spheres that became gravitationally unstable, would have to form in the disk with the gas and dust dissipating at a later stage. Pressure fell as gas was lost and diamonds were converted to graphite, while the gas became illuminated by the Sun. Under these conditions considerable ionization would be present and the gas would be accelerated by magnetic fields, hence the angular momentum could be transferred from the Sun. He postulated that these lunar-size bodies were destroyed by collisions, with the gas dissipating, leaving behind solids collected at the core, with the resulting smaller fragments pushed far out into space and the larger fragments staying behind and accreting into planets. He suggested the Moon was just such a surviving core.
In 1960, 1963, and 1978, W. H. McCrea proposed the protoplanet theory, in which the Sun and planets individually coalesced from matter within the same cloud, with the smaller planets later captured by the Sun's larger gravity. It includes fission in a protoplanetary nebula and there is no solar nebula. Agglomerations of floccules (which are presumed to compose the supersonic turbulence assumed to occur in the interstellar material from which stars are born) formed the sun and protoplanets, the latter splitting to form planets. The 2 portions can not remain gravitationally bound to each other, are at a mass ratio of at least 8 to 1, and for inner planets they go into independent orbits while for outer planets one of the portions exits the solar system. The inner protoplanets were Venus-Mercury and Earth-Mars. The moons of the greater planets were formed from "droplets" in the neck connecting the 2 portions of the dividing protoplanet and these droplets could account for some of the asteroids. Terrestrial planets would have no major moons which does not account for Luna. It predicts certain observations such as the similar angular velocity of Mars and Earth with similar rotation periods and axial tilts. In this scheme there are 6 principal planets: 2 terrestrial, Venus and Earth, 2 major, Jupiter and Saturn, and 2 outer, Uranus and Neptune; and 3 lesser planets: Mercury, Mars, and Pluto.
This theory has a number of problems, such as explaining the fact that the planets all orbit the Sun in the same direction, which would appear highly unlikely if they were each individually captured.
In American astronomer Alastair G. W. Cameron's hypothesis (form 1962 and 1963), the protosun has a mass of about 1-2 suns with a diam. of some 100,000 AUs, is gravitationally unstable, collapses, and breaks up into smaller subunits. The magnetic field is of the order of 1/100,000 gauss. During the collapse the magnetic lines of force are twisted. The collapse is fast and is done by the dissociation of H molecules followed by the ionization of H and the double ionization of He. Angular momentum leads to rotational instability which produces a Laplacean disk. At this stage radiaton will remove excess energy and the disk will be quite cool in a relatively short period (about 1 mln. yrs.) and the condensation into what Whipple calls cometismals takes place. Aggregation of these produces giant planets which in turn produce disks during their formation from which evolve into lunar systems. The formation of terrestrial planets, comets, and asteroids involved disintegration, heating, melting, solidificaton, etc. He also formulated the Big Splat or Giant Impactor Hypothesis for the origin of the Moon.
The capture theory, proposed by M. M. Woolfson in 1964, posits that the Solar System formed from tidal interactions between the Sun and a low-density protostar. The Sun's gravity would have drawn material from the diffuse atmosphere of the protostar, which would then have collapsed to form the planets. However, the capture theory predicts a different age for the Sun than for the planets, whereas the similar ages of the Sun and the rest of the Solar System indicate that they formed at roughly the same time.
As captured planets would have initially eccentric orbits Dormand and Woolfson in 1974 and 1977 and Woolfson proposed the possibility of a collision. A filament is thrown out by a passing proto-star which is captured by the Sun and planets form from it. In this there were 6 original planets, corresponding to 6 point-masses in the filament, with planets A and B, the 2 innermost, colliding, the former at twice the mass of Neptune, and ejecting out of the solar system, and the latter at 1/3 the mass of Uranus, and splitting into Earth and Venus. Mars and the Moon are former moons of A. Mercury is either a fragment of B or an escaped moon of A. The collision also produced the asteroid belt and the comets.
T.J.J. See was an American astronomer and Navy Captain who at one time worked under Ellery Hale at the Lowell Observatory. He had a cult following largely because of his many (some 60) articles in Popular Astronomy but also in Astronomische Nachrichte (Astronomical News) (mostly in English). While at the USNO's Mare Island, Cal. station, he developed a model which he called capture theory, published in 1910, in his "Researches on the Evolution of the Stellar Systems: v. 2. The capture theory of cosmical evolution, founded on dynamical principles and illustrated by phenomena observed in the spiral nebulae, the planetary system, the double and multiple stars and clusters and the star-clouds of the Milky Way", which proposed that the planets formed in the outer solar system and were captured by the Sun; the moons were formed in thus manner and were captured by the planets. This caused a feud with Forest Moulton, who co-developed the planetismal hypothesis. A preview was presented in 1909 at a meeting of the ASP (Astronomical Society of the Pacific) at the Chabot Observatory in Oakland, Cal., and newspaper headlines blared "Prof. See's Paper Causes Sensation" (San Francisco Call) and "Scientists in Furore Over Nebulae" (San Francisco Examiner). Our current knowledge of dynamics makes capture most unlikely as it requires special conditions.
Swiss astronomer Louis Jacot (in 1951, 1962, 1981), like Weisacker and Ter Haar, continued the Cartesian idea of vortices but proposed a hierarchy of vortices or vortices within vortices, i.e., a lunar system vortex, a solar system vortex, and a galactic vortex. He put forward the notion that planetary orbits were in spirals, not circles or ellipses so recognized that the solar system is in expansion (planets move away from the Sun). It is a known fact that planetary orbits are not fixed circles but are slowly spiraling outwards, Earth's anomalistic year (a planetary orbit measured from perihelion to perihelion) being 4 min., 44 sec. longer than the sidereal year (a planetary orbit measured relative to the background stars), however, the accepted explanation is the gravitational displacement on any particular, given planet by the other planets, not a vortex. Besides the expansion of the solar system, Jacot also proposed the expansion of galaxies (stars move away from the hub), and that moons move away from their planets.
He also maintained that planets were expelled, one at a time, from the Sun, specifically from an equatorial bulge caused by rotation, and that one of them shattered in this expulsion leaving the asteroid belt. The Kuiper Belt was unknown at the time, but presumably it, too, would be the result of the same kind of shattering. The moons, like the planets, originated as equatorial expulsions, but, of course, from their parent planets, with some shattering, leaving the rings, and Earth is supposed to eventually expel another moon.
In this model there were 4 phases to the planets: no rotation and keeping the same side to the Sun "as Mercury does now" (we've known, of course, since 1965, that it doesn't), very slow, accelerated, and finally, daily rotation.
He explained the differences between inner and outer planets and inner and outer moons through vortex behaviour. Mercury's eccentric orbit was explained by its recent expulsion from the Sun and Venus' slow rotation as its being in the slow rotation phase, having been expelled second to last.
Jacot was at least partly right concerning vortices. George Vatistas, a researcher and professor of mechanical engineering at Concordia in Montreal, was the first to discover geometrical shapes in the centers of vortices in the lab, and some galaxies have similar central shapes, squares or triangles. Spiral galaxies are, in fact, vortices. Other geometrical shapes have been found in vortices in nature: a hexagon at the South Pole of Saturn's atmosphere observed by Cassini and a pentagon in Hurricane Isabel seen in 2003.
The Tom Van Flandern model was first proposed in 1993 in the first edition of his book. In the revised version from 1999 and later, the original solar system had 6 pairs of twin planets each fissioned off from the equatorial bulges of an overspinning Sun (outward centrifugal forces exceed the inward gravitational force) at different times so having different temperatures, sizes, and compositions, and having condensed thereafter with the nebular disk dissipating after some 100 million years, with 6 planets exploding. Four of these were helium dominated, fluid, and unstable (helium class planets). These were V (Bellatrix) (V standing for the 5th planet, the first 4 including Mercury and Mars), K (Krypton), T (transneptunian), and Planet X. In these cases, the smaller moons exploded because of tidal stresses leaving the 4 component belts of the 2 major planetoid zones. Planet LHB-A, the explosion for which is postulated to have caused the Late Heavy Bombardment (about 4 eons ago), was twinned with Jupiter, and LHB-B, the explosion for which is postulated to have caused another LHB, was twinned with Saturn. In planets LHB-A, Jupiter, LHB-B, and Saturn, being gigantic, Jovian planets, the inner and smaller partner in each pair was subjected to enormous tidal stresses causing it to blow up. The explosions took place before they were able to fission off moons. As the 6 were fluid they left no trace. Solid planets fission off only one moon and Mercury was a moon of Venus but drifted away because of the Sun's gravitational influence. Mars was a moon of Bellatrix.
One major argument against exploding planets and moons is that there would not be an energy source powerful enough to cause such explosions, but Van Flandern provides 3 possible mechanisms: change of state, natural nuclear reactor, and gravitational heat energy. The first 2 he considers as being powerful enough only for smaller planets, but the third relies on LaSage gravity which has fallen out of favour (see Le Sage's theory of gravitation).
The other major argument is that there isn’t enough mass in the Main Belt to account for the calamity, but, in this type of explosion, most of the mass would be vapourized. Van Flandern presents over 100 points of evidence in 11 lines of evidence for such explosions. The EPH (exploded planet hypothesis) has been supported also by Olbers (who originated it in 1812), Lagrange in 1814, Reginald Daly in 1944, Brown and Patterson in 1948 (Van Flandern, 1999, loc. cit.), Sergei Orloff (who gave the name of Phaeton to the missing planet), Ovenden in 1972 and 1973 (Van Flandern, 1999, loc. cit.), Opik in 1978 (Van Flandern, 1999, loc. cit.).
It is the only model that explains the twinning of planets (and moons), but also explains coplanar and circular orbits, angular momentum distribution, the asteroid belts, the small size and orbital anomalies of Mars and Mercury, and the late heavy bombardments.
Fission is also proposed as a possible explanation for the formation of close binary stars and explosions for the formation of galaxies and galaxy clusters
In this most recent model (by J. Marvin Herndon), inner (large-core) planets are formed by condensation and raining-out from within giant gaseous protoplanets at high pressures and high temperatures. Earth's complete condensation included a c. 300 Earth-mass gas/ice shell that compressed the rocky kernel to about 66% of Earth's present diameter (Jupiter is at about 300 Earth masses, which equals c. 2000 trillion trillion kg; Earth is at about 6 trillion trillion kg). T Tauri (see T Tauri type stars) eruptions of the Sun stripped the gases away from the inner planets. Mercury was incompletely condensed and a portion of its gases were stripped away and transported to the region between Mars and Jupiter where it fused with in-falling oxidized condensate from the outer reaches of the solar system and formed the parent material for ordinary chondrite meteorites, the Main-Belt asteroids, and veneer for the inner planets, especially Mars. The differences between the inner planets are primarily the consequence of different degrees of protoplanetary compression. There are 2 types of responses to decompression-driven planetary volume increases: cracks, which form to increase surface area, and folding, creating mountain ranges, to accommodate changes in curvature.
This planetary formation theory is an extension of the Whole-Earth Decompression Dynamics (WEDD) model, which includes natural nuclear fission reactors in planetary cores, and is elaborated, expounded, and elucidated by Herndon in 11 articles in Current Science from 2005–2013 and 5 books in 2008 and 2012. He refers to it as ‘indivisible’ meaning that the fundamental aspects of Earth are connected logically and causally, and can be deduced from its early formation as a Jupiter-like giant.
In 1944, German chemist and physicist Arnold Eucken considered the thermodynamics of Earth condensing and raining-out within a giant protoplanet at pressures of 100–1000 atm. In the 1950s and early 1960s there was discussion of planetary formation at such pressures, but the idea was largely supplanted by Cameron's 1963 low pressure (c. 4–10 atm.) model.
Classification of the theories
Jeans, in 1931, divided the various models into 2 groups: those where the material for planet formation came from the Sun and those where it didn't and may be concurrent or consecutive.
William McCrea, in 1963, divided them into 2 groups also: those that relate the formation of the planets to the formation of the Sun and those where it is independent of the formation of the Sun, where the planets form after the Sun becomes a normal star.
Ter Haar and Cameron distinguished between those theories that consider a closed system, which is a development of the sun and possibly a solar envelope, that starts with a protosun rather than the sun itself, and state that Belot calls these theories monistic; and those that consider an open system, which is where there is an interaction between the sun and some foreign body that is supposed to have been the first step in the developments leading to the planetary system, and state that Belot calls these theories dualistic.
Hervé Reeves' classification also categorizes them as co-genetic with the Sun or not but also as formed from altered or unaltered stellar/interstellar material. He as well recognizes 4 groups: 1) models based on the solar nebula, originated by Swedenborg, Kant, and Laplace in the 1700s; 2) the ones proposing a cloud captured from interstellar space, major proponents being Alfvén and Gustaf Arrhenius (in 1978) and Alfvén and Arrhenius; 3) the binary hypotheses which propose that a sister star somehow disintegrated and a portion of its dissipating material was captured by the Sun, principal hypothesizer being Lyttleton in the '40s; 4) and the close-approach-filament ideas of Jeans, Jeffreys, and Woolfson and Dormand.
In Williams and Cremin the categories are: (1) models that regard the origin and formation of the planets as being essentially related to the Sun, with the 2 formation processes taking place concurrently or consecutively, (2) models that regard formation of the planets as being independent of the formation process of the Sun, the planets forming after the Sun becomes a normal star; this has 2 subcategories: a) where the material for the formation of the planets is extracted either from the Sun or another star, b) where the material is acquired from interstellar space. They conclude that the best models are Hoyle's magnetic coupling and McCrea's floccules.
Woolfson recognized 1) monistic, which included Laplace, Descartes, Kant, and Weisacker, and 2) dualistc, which included Leclerc (comte de Buffon), Chamberlin-Moulton, Jeans, Jeffreys, and Schmidt-Lyttleton.
Reemergence of the nebular hypothesis
In 1978, astronomer A. J. R. Prentice revived the Laplacian nebular model in his Modern Laplacian Theory by suggesting that the angular momentum problem could be resolved by drag created by dust grains in the original disc which slowed down the rotation in the centre. Prentice also suggested that the young Sun transferred some angular momentum to the protoplanetary disc and planetesimals through supersonic ejections understood to occur in T Tauri stars. However, his contention that such formation would occur in toruses or rings has been questioned, as any such rings would disperse before collapsing into planets.
The birth of the modern widely accepted theory of planetary formation—the Solar Nebular Disk Model (SNDM)—can be traced to the works of Soviet astronomer Victor Safronov. His book Evolution of the protoplanetary cloud and formation of the Earth and the planets, which was translated to English in 1972, had a long-lasting effect on the way scientists thought about the formation of the planets. In this book almost all major problems of the planetary formation process were formulated and some of them solved. Safronov's ideas were further developed in the works of George Wetherill, who discovered runaway accretion. By the early 1980s, the nebular hypothesis in the form of SNDM had come back into favour, led by two major discoveries in astronomy. First, a number of apparently young stars, such as Beta Pictoris, were found to be surrounded by discs of cool dust, much as was predicted by the nebular hypothesis. Second, the Infrared Astronomical Satellite, launched in 1983, observed that many stars had an excess of infrared radiation that could be explained if they were orbited by discs of cooler material.
While the broad picture of the nebular hypothesis is widely accepted, many of the details are not well understood and continue to be refined.
The refined nebular model was developed entirely on the basis of observations of our own Solar System because it was the only one known until the mid-1990s. It was not confidently assumed to be widely applicable to other planetary systems, although scientists were anxious to test the nebular model by finding of protoplanetary discs or even planets around other stars. As of August 30, 2013, the discovery of 941 extrasolar planets has turned up many surprises, and the nebular model must be revised to account for these discovered planetary systems, or new models considered.
Among the extrasolar planets discovered to date are planets the size of Jupiter or larger but possessing very short orbital periods of only a few hours. Such planets would have to orbit very closely to their stars; so closely that their atmospheres would be gradually stripped away by solar radiation. There is no consensus on how to explain these so-called hot Jupiters, but one leading idea is that of planetary migration, similar to the process which is thought to have moved Uranus and Neptune to their current, distant orbit. Possible processes that cause the migration include orbital friction while the protoplanetary disc is still full of hydrogen and helium gas and exchange of angular momentum between giant planets and the particles in the protoplanetary disc.
The detailed features of the planets are another problem. The solar nebula hypothesis predicts that all planets will form exactly in the ecliptic plane. Instead, the orbits of the classical planets have various (but small) inclinations with respect to the ecliptic. Furthermore, for the gas giants it is predicted that their rotations and moon systems will also not be inclined with respect to the ecliptic plane. However, most gas giants have substantial axial tilts with respect to the ecliptic, with Uranus having a 98° tilt. The Moon being relatively large with respect to the Earth and other moons which are in irregular orbits with respect to their planet is yet another issue. It is now believed these observations are explained by events which happened after the initial formation of the Solar System.
Solar evolution hypotheses
Attempts to isolate the physical source of the Sun's energy, and thus determine when and how it might ultimately run out, began in the 19th century. At that time, the prevailing scientific view on the source of the Sun's heat was that it was generated by gravitational contraction. In the 1840s, astronomers J. R. Mayer and J. J. Waterson first proposed that the Sun's massive weight causes it to collapse in on itself, generating heat, an idea expounded upon in 1854 by both Hermann von Helmholtz and Lord Kelvin, who further elaborated on the idea by suggesting that heat may also be produced by the impact of meteors onto the Sun's surface. However, the Sun only has enough gravitational potential energy to power its luminosity by this mechanism for about 30 million years—far less than the age of the Earth. (This collapse time is known as the Kelvin–Helmholtz timescale.)
Albert Einstein's development of the theory of relativity in 1905 led to the understanding that nuclear reactions could create new elements from smaller precursors, with the loss of energy. In his treatise Stars and Atoms, Arthur Eddington suggested that pressures and temperatures within stars were great enough for hydrogen nuclei to fuse into helium; a process which could produce the massive amounts of energy required to power the Sun. In 1935, Eddington went further and suggested that other elements might also form within stars. Spectral evidence collected after 1945 showed that the distribution of the commonest chemical elements, carbon, hydrogen, oxygen, nitrogen, neon, iron etc., was fairly uniform across the galaxy. This suggested that these elements had a common origin. A number of anomalies in the proportions hinted at an underlying mechanism for creation. Lead has a higher atomic weight than gold, but is far more common. Hydrogen and helium (elements 1 and 2) are virtually ubiquitous yet lithium and beryllium (elements 3 and 4) are extremely rare.
While the unusual spectra of red giant stars had been known since the 19th century, it was George Gamow who, in the 1940s, first understood that they were stars of roughly solar mass that had run out of hydrogen in their cores and had resorted to burning the hydrogen in their outer shells. This allowed Martin Schwarzschild to draw the connection between red giants and the finite lifespans of stars. It is now understood that red giants are stars in the last stages of their life cycles.
Fred Hoyle noted that, even while the distribution of elements was fairly uniform, different stars had varying amounts of each element. To Hoyle, this indicated that they must have originated within the stars themselves. The abundance of elements peaked around the atomic number for iron, an element that could only have been formed under intense pressures and temperatures. Hoyle concluded that iron must have formed within giant stars. From this, in 1945 and 1946, Hoyle constructed the final stages of a star's life cycle. As the star dies, it collapses under its own weight, leading to a stratified chain of fusion reactions: carbon-12 fuses with helium to form oxygen-16; oxygen-16 fuses with helium to produce neon-20, and so on up to iron. There was, however, no known method by which carbon-12 could be produced. Isotopes of beryllium produced via fusion were too unstable to form carbon, and for three helium atoms to form carbon-12 was so unlikely as to have been impossible over the age of the universe. However, in 1952 the physicist Ed Salpeter showed that a short enough time existed between the formation and the decay of the beryllium isotope that another helium had a small chance to form carbon, but only if their combined mass/energy amounts were equal to that of carbon-12. Hoyle, employing the anthropic principle, showed that it must be so, since he himself was made of carbon, and he existed. When the matter/energy level of carbon-12 was finally determined, it was found to be within a few percent of Hoyle's prediction.
The first white dwarf discovered was in the triple star system of 40 Eridani, which contains the relatively bright main sequence star 40 Eridani A, orbited at a distance by the closer binary system of the white dwarf 40 Eridani B and the main sequence red dwarf 40 Eridani C. The pair 40 Eridani B/C was discovered by William Herschel on January 31, 1783;, p. 73 it was again observed by Friedrich Georg Wilhelm Struve in 1825 and by Otto Wilhelm von Struve in 1851. In 1910, it was discovered by Henry Norris Russell, Edward Charles Pickering and Williamina Fleming that despite being a dim star, 40 Eridani B was of spectral type A, or white.
White dwarfs were found to be extremely dense soon after their discovery. If a star is in a binary system, as is the case for Sirius B and 40 Eridani B, it is possible to estimate its mass from observations of the binary orbit. This was done for Sirius B by 1910, yielding a mass estimate of 0.94 M☉. (A more modern estimate is 1.00 M☉.) Since hotter bodies radiate more than colder ones, a star's surface brightness can be estimated from its effective surface temperature, and hence from its spectrum. If the star's distance is known, its overall luminosity can also be estimated. Comparison of the two figures yields the star's radius. Reasoning of this sort led to the realization, puzzling to astronomers at the time, that Sirius B and 40 Eridani B must be very dense. For example, when Ernst Öpik estimated the density of a number of visual binary stars in 1916, he found that 40 Eridani B had a density of over 25,000 times the Sun's, which was so high that he called it "impossible".
Such densities are possible because white dwarf material is not composed of atoms bound by chemical bonds, but rather consists of a plasma of unbound nuclei and electrons. There is therefore no obstacle to placing nuclei closer to each other than electron orbitals—the regions occupied by electrons bound to an atom—would normally allow. Eddington, however, wondered what would happen when this plasma cooled and the energy which kept the atoms ionized was no longer present. This paradox was resolved by R. H. Fowler in 1926 by an application of the newly devised quantum mechanics. Since electrons obey the Pauli exclusion principle, no two electrons can occupy the same state, and they must obey Fermi–Dirac statistics, also introduced in 1926 to determine the statistical distribution of particles which satisfy the Pauli exclusion principle. At zero temperature, therefore, electrons could not all occupy the lowest-energy, or ground, state; some of them had to occupy higher-energy states, forming a band of lowest-available energy states, the Fermi sea. This state of the electrons, called degenerate, meant that a white dwarf could cool to zero temperature and still possess high energy.
Planetary nebulae are generally faint objects, and none are visible to the naked eye. The first planetary nebula discovered was the Dumbbell Nebula in the constellation of Vulpecula, observed by Charles Messier in 1764 and listed as M27 in his catalogue of nebulous objects. To early observers with low-resolution telescopes, M27 and subsequently discovered planetary nebulae somewhat resembled the gas giants, and William Herschel, discoverer of Uranus, eventually coined the term 'planetary nebula' for them, although, as we now know, they are very different from planets.
The central stars of planetary nebulae are very hot. Their luminosity, though, is very low, implying that they must be very small. Only once a star has exhausted all its nuclear fuel can it collapse to such a small size, and so planetary nebulae came to be understood as a final stage of stellar evolution. Spectroscopic observations show that all planetary nebulae are expanding, and so the idea arose that planetary nebulae were caused by a star's outer layers being thrown into space at the end of its life.
Lunar origins hypotheses
Over the centuries, many scientific hypotheses have been advanced concerning the origin of Earth's Moon. One of the earliest was the so-called binary accretion model, which concluded that the Moon accreted from material in orbit around the Earth left over from its formation. Another, the fission model, was developed by George Darwin, (son of Charles Darwin) who noted that, as the Moon is gradually receding from the Earth at a rate of about 4 cm per year, so at one point in the distant past it must have been part of the Earth, but was flung outward by the momentum of Earth's then–much faster rotation. This hypothesis is also supported by the fact that the Moon's density, while less than Earth's, is about equal to that of Earth's rocky mantle, suggesting that, unlike the Earth, it lacks a dense iron core. A third hypothesis, known as the capture model, suggested that the Moon was an independently orbiting body that had been snared into orbit by Earth's gravity.
However, these hypotheses were all refuted by the Apollo lunar missions, which introduced a stream of new scientific evidence; specifically concerning the Moon's composition, its age, and its history. These lines of evidence contradict many predictions made by these earlier models. The rocks brought back from the Moon showed a marked decrease in water relative to rocks elsewhere in the Solar System, and also evidence of an ocean of magma early in its history, indicating that its formation must have produced a great deal of energy. Also, oxygen isotopes in lunar rocks showed a marked similarity to those on Earth, suggesting that they formed at a similar location in the solar nebula. The capture model fails to explain the similarity in these isotopes (if the Moon had originated in another part of the Solar System, those isotopes would have been different), while the co-accretion model cannot adequately explain the loss of water (if the Moon formed in a similar fashion to the Earth, the amount of water trapped in its mineral structure would also be roughly similar). Conversely, the fission model, while it can account for the similarity in chemical composition and the lack of iron in the Moon, cannot adequately explain its high orbital inclination and, in particular, the large amount of angular momentum in the Earth–Moon system, more than any other planet–satellite pair in the Solar System.
Giant impact hypothesis
For many years after Apollo, the binary accretion model was settled on as the best hypothesis for explaining the Moon's origins, even though it was known to be flawed. Then, at a conference in Kona, Hawaii in 1984, a compromise model was composed that accounted for all of the observed discrepancies. Originally formulated by two independent research groups in 1976, the giant impact model supposed that a massive planetary object, the size of Mars, had collided with Earth early in its history. The impact would have melted Earth's crust, and the other planet's heavy core would have sunk inward and merged with Earth's. The superheated vapour produced by the impact would have risen into orbit around the planet, coalescing into the Moon. This explained the lack of water (the vapour cloud was too hot for water to condense), the similarity in composition (since the Moon had formed from part of the Earth), the lower density (since the Moon had formed from the Earth's crust and mantle, rather than its core), and the Moon's unusual orbit (since an oblique strike would have imparted a massive amount of angular momentum to the Earth–Moon system).
However, the giant impact model has been criticised for being too explanatory; it can be expanded to explain any future discoveries and as such, is unfalsifiable. Also, many claim that much of the material from the impactor would have ended up in the Moon, meaning that the isotope levels would be different, but they are not. Also, while some volatile compounds such as water are absent from the Moon's crust, many others, such as manganese, are not.
Other natural satellites
While the co-accretion and capture models are not currently accepted as valid explanations for the existence of the Moon, they have been employed to explain the formation of other natural satellites in the Solar System. Jupiter's Galilean satellites are believed to have formed via co-accretion, while the Solar System's irregular satellites, such as Triton, are all believed to have been captured.
- "Solar". etymoline. Retrieved 2008-04-15.
- Webster's 9th New Collegiate Dictionary
- Williams, I.O., Cremin, A.W. 1968. A survey of theories relating to the origin of the solar system. Qtly. Rev. RAS 9: 40-62. ads.abs.harvard.edu/abs
- Woolfson, M.M. 2000. The Origin and Evolution of the Solar System (Graduate Series in Astronomy). Taylor and Francis.
- Swedenborg, Emanuel. 1734, (Principia) Latin: Opera Philosophica et Mineralia (English: Philosophical and Mineralogical Works), (Principia, Volume 1)
- See, T. J. J. (1909). "The Past History of the Earth as Inferred from the Mode of Formation of the Solar System". Proceedings of the American Philosophical Society 48: 119. JSTOR 983817.
- M. M. Woolfson (1993). "The Solar System: Its Origin and Evolution". Journal of the Royal Astronomical Society 34: 1–20. Bibcode:1993QJRAS..34....1W.
Physics Department, University of New York
- Woolfson, M. M. (1984). "Rotation in the Solar System". Philosophical Transactions of the Royal Society of London 313 (1524): 5. Bibcode:1984RSPTA.313....5W. doi:10.1098/rsta.1984.0078.
- Benjamin Crowell (1998–2006). "5". Conservation Laws. lightandmatter.com. ISBN 0-9704670-2-8.
- Sherrill, T.J. 1999. A Career of Controversy: the Anomaly of T.J.J. See. J. Hist. Astrn. ads.abs.harvard.edu/abs/1999JHA.
- Alfvén, H. 1978. Band Structure of the Solar System. In Origin of the Solar System, S.F. Dermot, ed, pp. 41-48. Wiley.
- Williams, I.O., Cremin, A.W. 1968. A survey of theories relating to the origin of the solar system. Qtly. Rev. RAS 9: 40-62. ads.abs.harvard.edu/abs.
- McCrea, W. H. 1978. The Formation of the Solar System: a Protoplanet Theory (Chp. 5). In: S.F. Dermot, Ed. Origin of the Solar System. John Wiley.
- J. R. Dormand & M. M. Woolfson (1971). "The capture theory and planetary condensation". Monthly Notices of the Royal Astronomical Society 151: 307. Bibcode:1971MNRAS.151..307D.
- Weidenschilling, S. J.; Spaute, D.; Davis, D. R.; Marzari, F.; Ohtsuki, K. (1997). "Accretional Evolution of a Planetesimal Swarm". Icarus 128 (2): 429–455. Bibcode:1997Icar..128..429W. doi:10.1006/icar.1997.5747.
- Woolfson, M.M. 1978. The evolution of the solar system, pp. 199-217. In S.F. Dermot, Ed., Origin of the Solar System. Wiley, New York.
- Jacot, Louis. 1986. Heretical Cosmology (transl. of Science et bon sense, 1981). Exposition-Banner. )
- Le Code Chastenay science show, 2011.
- Van Flandern, T. 1999. Dark Matter, Missing Planets, and New Comets. North Atlantic.
- Van Flandern, T. 2007. The challenge of the exploded planet hypothesis. Intl. J. Astrobiol. 6: 185- 97.
- Van Flandern, T. 2008. Our Original Solar System-a 21st Century Perspective. MetaRes. Bull. 17: 2-26.
- MetaResearch (http://www.metaresearch.org/
- Van Flandern, T. Planetary Explosion Mechanisms, MetaResearch Bulletin, 2002
- Dodd, Robert. 1986. Thunderstones and Shooting Stars. Harvard University Press.
- La planète manquante(astrosurf.com)
- Les Astéroides(csdc.qc.ca)
- One of Our Planets is Missing (the galaxyexpress.com)
- One of Our Planets is Missing (lightforcenetwork.com)
- geocities(in Portuguese)
- Astronomy, John Fix, 2006, McGraw-Hill.
- Herndon, J. Marvin. 2013. New indivisible planetary science paradigm. Current Science 105: 450-461 (nuclearplanet.com).
- Williams, I.O., Cremin, A.W. 1968. A survey of theories relating to the origin of the solar system. Qtly. Rev. RAS 9: 40-62. ads.abs.harvard.edu/abs
- Ter Haar, D. and Cameron, A.G.W. 1963. Historical Review of the Origin of the Solar System. In: Origin of the Solar System, Robert Jastrow and A.G.W. Cameron, eds., pp. 1-37. Academic Press.
- Reeves, H. 1978. Origin of the Solar System. In: The Origin of the Solar System, S.F. Dermott, ed., pp. 1-18. Wiley.
- Woolfson, M.M. 2000. The Origin and Evolution of the Solar System. Taylor & Francis.books.google
- Prentice, A. J. R. (1978). "Origin of the solar system. I — Gravitational contraction of the turbulent protosun and the shedding of a concentric system of gaseous Laplacian rings". Moon and Planets 19 (3): 341–398. Bibcode:1978M&P....19..341P. doi:10.1007/BF00898829.
- Ferreira, J.; Dougados, C.; Cabrit, S. (2006). "Which jet launching mechanism(s) in T Tauri stars?". Astronomy & Astrophysics 453 (3): 785. arXiv:astro-ph/0604053. Bibcode:2006A&A...453..785F. doi:10.1051/0004-6361:20054231.
- Nigel Henbest (1991). "Birth of the planets: The Earth and its fellow planets may be survivors from a time when planets ricocheted around the Sun like ball bearings on a pinball table". New Scientist. Retrieved 2008-04-18.
- Safronov, Viktor Sergeevich (1972). Evolution of the Protoplanetary Cloud and Formation of the Earth and the Planets. Israel Program for Scientific Translations. ISBN 0-7065-1225-1.
- George W. Wetherill (1989). "Leonard Medal Citation for Victor Sergeevich Safronov". Meteoritics 24: 347. Bibcode:1989Metic..24..347W. doi:10.1111/j.1945-5100.1989.tb00700.x.
- e. g.
- Kokubo, Eiichiro; Ida, Shigeru (2002). "Formation of Protoplanet Systems and Diversity of Planetary Systems". Astrophysical Journal 581 (1): 666. Bibcode:2002ApJ...581..666K. doi:10.1086/344105.
- Lissauer, J. J. (2006). L. Armus and W. T. Reach, eds., ed. "The Spitzer Space Telescope: New Views of the Cosmos" 357. Astronomical Society of the Pacific Conference Series. p. 31.
- Zeilik, Michael A.; Gregory, Stephan A. (1998). Introductory Astronomy & Astrophysics (4th ed.). Saunders College Publishing. ISBN 0-03-006228-4.
- "Planet Quest, Terrestrial Planet Finder". NASA Jet Propulsion Laboratory. Retrieved 2008-02-01.
- Jean Schneider. "The extrasolar planets encyclopedia". Paris University. Retrieved 2008-03-13.
- Weaver, D.; Villard, R. (2007-01-31). "Hubble Probes Layer-cake Structure of Alien World's Atmosphere". University of Arizona, Lunar and Planetary Laboratory (Press Release). Retrieved 2007-08-15.
- Ballester, Gilda E.; Sing, David K.; Herbert, Floyd (2007). "The signature of hot hydrogen in the atmosphere of the extrasolar planet HD 209458b". Nature 445 (7127): 511–4. Bibcode:2007Natur.445..511B. doi:10.1038/nature05525. PMID 17268463.
- Benjamin Crowell (2008). "Vibrations and Waves". Retrieved 2008-02-01.
- Tsiganis, K.; Gomes, R.; Morbidelli, A.; Levison, H. F. (2005). "Origin of the orbital architecture of the giant planets of the Solar System". Nature 435 (7041): 459–61. Bibcode:2005Natur.435..459T. doi:10.1038/nature03539. PMID 15917800.
- Lissauer, J. J. (2006). "Planet Formation, Protoplanetary Disks and Debris Disks". In L. Armus and W. T. Reach. The Spitzer Space Telescope: New Views of the Cosmos 357. Astronomical Society of the Pacific Conference Series. p. 31.
- Fogg, M. J.; Nelson, R. P. (2007). "On the formation of terrestrial planets in hot-Jupiter systems". Astronomy & Astrophysics 461 (3): 1195. arXiv:astro-ph/0610314. Bibcode:2007A&A...461.1195F. doi:10.1051/0004-6361:20066171.
- Heidi B. Hammel (2006). "Uranus nears Equinox". Pasadena Workshop. Retrieved 2008-03-13.
- Frank Crary (1998). "The Origin of the Solar System". Colorado University, Boulder. Retrieved 2008-03-13.
- David Whitehouse (2005). The Sun: A Biography. John Wiley and Sons. ISBN 0-470-09296-3.
- Carl J. Hansen, Steven D. Kawaler, and Virginia Trimble (2004). Stellar interiors: physical principles, structure, and evolution. New York: Springer. p. 4. ISBN 0-387-20089-4.
- Simon Mitton (2005). "Origin of the Chemical Elements". Fred Hoyle: A Life in Science. Aurum. pp. 197–222. ISBN 0-309-09313-9.
- Oscar Straniero, Roberto Gallino, and Sergio Cristallo (17 October 2006). "s process in low-mass asymptotic giant branch stars". Nuclear Physics A 777: 311–339. arXiv:astro-ph/0501405. Bibcode:2006NuPhA.777..311S. doi:10.1016/j.nuclphysa.2005.01.011. Retrieved 2008-04-02.
- J. Faulkner (2003). "Fred Hoyle, Red Giants and beyond". Astrophysics and Space Science 285 (2): 339–339. Bibcode:2003Ap&SS.285..339F. doi:10.1023/A:1025432324828.
- The Nuclear Physics Group. "Life, Bent Chains, and the Anthropic Principle". The University of Birmingham. Retrieved 2008-04-21.[dead link]
- Catalogue of Double Stars, William Herschel, Philosophical Transactions of the Royal Society of London 75 (1785), pp. 40–126
- The orbit and the masses of 40 Eridani BC, W. H. van den Bos, Bulletin of the Astronomical Institutes of the Netherlands 3, #98 (July 8, 1926), pp. 128–132.
- Astrometric study of four visual binaries, W. D. Heintz, Astronomical Journal 79, #7 (July 1974), pp. 819–825.
- How Degenerate Stars Came to be Known as White Dwarfs, J. B. Holberg, Bulletin of the American Astronomical Society 37 (December 2005), p. 1503.
- Preliminary General Catalogue, L. Boss, Washington, D.C.: Carnegie Institution, 1910.
- The Age and Progenitor Mass of Sirius B, James Liebert, Patrick A. Young, David Arnett, J. B. Holberg, and Kurtis A. Williams, The Astrophysical Journal 630, #1 (September 2005), pp. L69–L72.
- The Densities of Visual Binary Stars, E. Öpik, The Astrophysical Journal 44 (December 1916), pp. 292–302.
- On the relation between the masses and luminosities of the stars, A. S. Eddington, Monthly Notices of the Royal Astronomical Society 84 (March 1924), pp. 308–332.
- On Dense Matter, R. H. Fowler, Monthly Notices of the Royal Astronomical Society 87 (1926), pp. 114–122.
- The Development of the Quantum Mechanical Electron Theory of Metals: 1900-28, Lillian H. Hoddeson and G. Baym, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences 371, #1744 (June 10, 1980), pp. 8–23.
- Paul D. Spudis (1996). "Whence the Moon?". The Once and Future Moon. Smithsonian Institution Press. pp. 157–169. ISBN 0-522-84826-5.
- Robin M. Canup and William R. Ward (2002). "Formation of the Galilean Satellites: Conditions of Accretion". The Astronomical Journal 124 (6): 3404–3423. Bibcode:2002AJ....124.3404C. doi:10.1086/344684. Retrieved 2008-04-22.
- David Nesvorný, David Vokrouhlický and Alessandro Morbidelli (2007). "Capture of Irregular Satellites during Planetary Encounters". The Astronomical Journal 133 (5): 1962–1976. Bibcode:2007AJ....133.1962N. doi:10.1086/512850. Retrieved 2008-04-22.