Epoch J2000 Equinox
|α UMi Aa|
|Right ascension||02h 31m 49.09s|
|Declination||+89° 15′ 50.8″|
|Apparent magnitude (V)||1.98v|
|α UMi Ab|
|Apparent magnitude (V)||9.2|
|α UMi B|
|Right ascension||02h 30m 41.63s|
|Declination||+89° 15′ 38.1″|
|Apparent magnitude (V)||8.7|
|α UMi Aa|
|U−B color index||0.38|
|B−V color index||0.60|
|Variable type||Classical Cepheid|
|α UMi Ab|
|α UMi B|
|U−B color index||0.01|
|B−V color index||0.42|
|Radial velocity (Rv)||-17 km/s|
|Proper motion (μ)||RA: 44.48±0.11 mas/yr
Dec.: -11.85±0.13 mas/yr
|Parallax (π)||7.54 ± 0.11 mas|
|Distance||325 - 425 ly
(99 - 129.5 pc)
|Absolute magnitude (MV)||-3.6(α UMi Aa)
3.6(α UMi Ab)
3.1(α UMi B)
|Primary||α UMi Aa|
|Companion||α UMi Ab|
|Period (P)||29.59 yr|
|Semi-major axis (a)||0.133"|
|Longitude of the node (Ω)||19°|
|Argument of periastron (ω)
|α UMi Aa|
|Luminosity (bolometric)||2500 L☉|
|Surface gravity (log g)||2.2 cgs|
|Rotational velocity (v sin i)||14 km/s|
|α UMi Ab|
|Luminosity (bolometric)||3 L☉|
|α UMi B|
|Luminosity (bolometric)||3.9 L☉|
|Surface gravity (log g)||4.3 cgs|
|Rotational velocity (v sin i)||110 km/s|
|Position (relative to α UMi Aa)|
|Component||α UMi Ab|
|Epoch of observation||2005.5880|
|Position (relative to α UMi Aa)|
|Component||α UMi B|
|Epoch of observation||2005.5880|
|α UMi Aa|
|α UMi B|
Polaris (α Ursae Minoris, α UMi, commonly the North Star or Pole Star) is the brightest star in the constellation Ursa Minor, and the 50th brightest star in the night sky. It is very close to the north celestial pole, making it the current northern pole star.
It is a multiple star, comprising the main star, α UMi Aa, which is a supergiant; two smaller companions, α UMi B and α UMi Ab; and two distant components, α UMi C and α UMi D. α UMi B was discovered in 1780 by William Herschel.
The revised Hipparcos parallax calculates the distance to Polaris at about 434 light-years (133 parsecs). Many recent papers derive distances up to 30% closer, particularly if the fundamental pulsation mode is assumed. It is especially important to derive an accurate model because Polaris is the closest Cepheid variable to Earth, so its physical parameters are critically important to the whole astronomical distance scale.
History of observations
Polaris in stellar catalogues and atlases
|Ulugh Beg (1437)||Yes|
|De Houtman (1603)||No|
α UMi Aa is a 4.5 solar mass (M☉) F7 yellow supergiant (Ib). This is the first classical Cepheid to have a dynamical mass determined from its orbit. The two smaller companions are α UMi B, a 1.39 M☉ F3 main-sequence star orbiting at a distance of 2400 AU, and α UMi Ab (or P), a very close F6 main- sequence star with an 18.8 AU radius orbit and 1.26 M☉. There are also two distant components: α UMi C and α UMi D.
Polaris B can be seen even with a modest telescope. William Herschel discovered the star in 1780 while using a handbuilt reflecting telescope, one of the most powerful telescopes at the time. In 1929, it was discovered, by examining the spectrum of Polaris A, that it was a very close binary with the secondary being a dwarf (variously α UMi P, α UMi an or α UMi Ab), which had been theorized in earlier observations (Moore, J.H and Kholodovsky, E. A.). In January 2006, NASA released images, from the Hubble telescope, that showed the three members of the Polaris ternary system. The nearer dwarf star is in an orbit of only 18.5 AU (2.8 billion km from Polaris A, about the distance between our Sun and Uranus), which explains why its light is swamped by its close and much brighter companion.
Polaris A, the supergiant primary component, is a low amplitude Population I classical Cepheid variable, although it was once thought to be a type II Cepheid due to its high galactic latitude. Cepheids constitute an important standard candle for determining distance, so Polaris, as the closest such star, is heavily studied. The variability of Polaris had been suspected since 1852; this variation was confirmed by Ejnar Hertzsprung in 1911.
The range of brightness of Polaris during its pulsations is given as 1.86 - 2.13, but the amplitude has changed since discovery. Prior to 1963, the amplitude was over 0.1 magnitude and was very gradually decreasing. After 1966 it very rapidly decreased until it was less than 0.05 magnitude; since then it has erratically varied near that range. It has been reported that the amplitude is now increasing again, a reversal not seen in any other Cepheid.
The period, roughly four days, has also changed over time. It has been steadily increased by around 4.5 seconds per year except for a hiatus in 1963-1965. This was originally thought to be due to secular red-ward evolution across the Cepheid instability strip but may be due to interference between the primary and the first overtone pulsation modes. Authors disagree on whether Polaris is a fundamental or first overtone pulsator, and on whether it is crossing the instability strip for the first time or not.
The temperature of Polaris only varies by a small amount during its pulsations, but the amount of this variation is changeable and unpredictable. The erratic changes of temperature and the of amplitude of temperature changes during each cycle, from less than 50K to at least 170K, may be related to the orbit with Polaris Ab.
Research reported in Science suggests that Polaris is 2.5 times brighter today than when Ptolemy observed it, changing from third to second magnitude. Astronomer Edward Guinan considers this to be a remarkable change and is on record as saying that, "[I]f they are real, these changes are 100 times larger than [those] predicted by current theories of stellar evolution."
Because of its importance in celestial navigation, Polaris is known by numerous names. It became known as Polaris during the Renaissance, its name derived from the Latin polaris "of/near the (north) pole".
One ancient name for Polaris was Cynosūra, from the Greek κυνόσουρα "the dog’s tail" (reflecting a time when the constellation of Ursa Minor "Little Bear" was taken to represent a dog), hence the English word cynosure. Most other names are directly tied to its role as pole star.
In English, it was known as "pole star" or "north star"; in Spenser, also "steadfast star". An older English name, attested since the 14th century, is lodestar "guiding star", cognate with the Old Norse leiðarstjarna, Middle High German leitsterne. Use of the name Polaris in English dates to the 17th century. It is an ellipsis for the Latin stella polaris "pole star". Another Latin name is stella maris "sea-star", which, from an early time, was also used as a title of the Blessed Virgin Mary, popularized in the hymn Ave Maris Stella (8th century). In traditional Indian astronomy, its name in Sanskrit is dhruva tāra "fixed star". Its name in medieval Islamic astronomy was variously reported as Mismar "needle, nail", al-kutb al-shamaliyy "the northern axle/spindle", and al-kaukab al-shamaliyy "north star". The name Alruccabah or Ruccabah that was reported in 16th century western sources was that of the constellation.
In the Old English rune poem, the T-rune is identified with Tyr "fame, honour", which is compared to the pole star, ᛏ [tir] biþ tacna sum, healdeð trywa wel "[fame] is a sign, it keeps faith well". Shakespeare's sonnet 116 is an example of the symbolism of the north star as a guiding principle: "[Love] is the star to every wandering bark / Whose worth's unknown, although his height be taken."
Role as pole star
Because α UMi lies nearly in a direct line with the axis of the Earth's rotation "above" the North Pole—the north celestial pole—Polaris stands almost motionless in the sky, and all the stars of the Northern sky appear to rotate around it. Therefore, it makes an excellent fixed point from which to draw measurements for celestial navigation and for astrometry. The moving of Polaris towards, and in the future away from, the celestial pole, is due to the precession of the equinoxes. The celestial pole will move away from α UMi after the 21st century, passing close by Gamma Cephei by about the 41st century. Historically, the celestial pole was close to Thuban around 2500 BCE, and during classical antiquity, it was closer to Kochab (β UMi) than to α UMi. It was about the same angular distance from either β UMi than to α UMi by the end of late antiquity. The Greek navigator Pytheas in ca. 320 BCE described the celestial pole as devoid of stars. However, as one of the brighter stars close to the celestial pole, Polaris was used for navigation at least from late antiquity, and described as ἀεί φανής (aei phanēs) "always visible" by Stobaeus (5th century). α UMi could reasonably be described as stella polaris from about the High Middle Ages.
In more recent history it was referenced in Nathaniel Bowditch's 1802 book, American Practical Navigator, where it is listed as one of the navigational stars. At present, Polaris is 0.75° away from the pole of rotation (1.4 times the Moon disc) and hence revolves around the pole in a small circle 1.5° in diameter. Only twice during every sidereal day does Polaris accurately define the true north azimuth; the rest of the time it is slightly displaced to East or West, and to bearing must be corrected using tables or a rough rule of thumb. The best approximate was made using the leading edge of the "Big Dipper" asterism in the constellation Ursa Major as a point of reference. The leading edge (defined by the stars Dubhe and Merak) was referenced to a clock face, and the true azimuth of Polaris worked out for different latitudes.
Many recent papers calculate the distance to Polaris at about 434 light-years (133 parsecs), in agreement with parallax measurements from the Hipparcos astrometry satellite. Older distance estimates were often slightly less, and recent research based on high resolution spectral analysis suggests it may be up to 100 light years closer (323 ly/99 pc). Polaris is the closest Cepheid variable to Earth so its physical parameters are of critical importance to the whole astronomical distance scale. It is also the only one with a dynamically measured mass.
|Year||Distance, ly (pc)||Notes|
|433 ly (133 pc)||Hipparcos|
|2006||330 ly (101 pc)||Turner|
|2008||359 ly (110 pc)||Usenko & Klochkova|
|2013||323 ly (99 pc)||Turner, et al.|
|2014||>=385 ly (>=118 pc)||Neilson|
The Hipparcos spacecraft used stellar parallax to take measurements from 1989 and 1993 with an accuracy of 0.97 milliarcseconds (970 microarcseconds), and it obtained accurate measurements for stellar distances up to 1,000 pc away. The Hipparcos data was examined again with more advanced error correction and statistical techniques. Despite the advantages of Hipparcos astrometry, the uncertainty in its Polaris data has been pointed out and some researches have questioned the accuracy of Hipparcos when measuring binary Cepheids like Polaris. The Hipparcos reduction specifically for Polaris has been re-examined and reaffirmed but there is still not widespread agreement about the distance.
The next major step in high precision parallax measurements will come from Gaia, a space astrometry mission launched in 2013 and intended to measure stellar parallax to within 25 microarcseconds (μas). Gaia will not be able to take measurements on bright stars like Polaris, but it may help with measurements of other members of assumed associations and with the general galactic distance scale. Radio telescopes have also been used to produce accurate parallax measurements at large distances, but these require a compact radio source in close association with the star which is typically only the case for cool supergiants with masers in their circumstellar material.
- Evans, N. R.; Schaefer, G. H.; Bond, H. E.; Bono, G.; Karovska, M.; Nelan, E.; Sasselov, D.; Mason, B. D. (2008). "Direct Detection of the Close Companion of Polaris with Thehubble Space Telescope". The Astronomical Journal 136 (3): 1137. arXiv:0806.4904. Bibcode:2008AJ....136.1137E. doi:10.1088/0004-6256/136/3/1137.
- Lee, B. C.; Mkrtichian, D. E.; Han, I.; Park, M. G.; Kim, K. M. (2008). "Precise Radial Velocities of Polaris: Detection of Amplitude Growth". The Astronomical Journal 135 (6): 2240. arXiv:0804.2793. Bibcode:2008AJ....135.2240L. doi:10.1088/0004-6256/135/6/2240.
- Samus, N. N.; Durlevich, O. V.; et al. (2009). "VizieR Online Data Catalog: General Catalogue of Variable Stars (Samus+ 2007–2013)". VizieR On-line Data Catalog: B/gcvs. Originally published in: 2009yCat....102025S 1: 02025. Bibcode:2009yCat....102025S.
- Usenko, I. A.; Klochkova, V. G. (2008). "Polaris B, an optical companion of the Polaris (α UMi) system: Atmospheric parameters, chemical composition, distance and mass". Monthly Notices of the Royal Astronomical Society: Letters 387: L1. arXiv:0708.0333. Bibcode:2008MNRAS.387L...1U. doi:10.1111/j.1745-3933.2008.00426.x.
- Van Leeuwen, F. (2007). "Validation of the new Hipparcos reduction". Astronomy and Astrophysics 474 (2): 653–664. arXiv:0708.1752. Bibcode:2007A&A...474..653V. doi:10.1051/0004-6361:20078357.
- Turner, D. G.; Kovtyukh, V. V.; Usenko, I. A.; Gorlova, N. I. (2013). "The Pulsation Mode of the Cepheid Polaris". The Astrophysical Journal Letters 762: L8. arXiv:1211.6103. Bibcode:2013ApJ...762L...8T. doi:10.1088/2041-8205/762/1/L8.
- Evans, N. R.; Sasselov, D. D.; Short, C. I. (2002). "Polaris: Amplitude, Period Change, and Companions". The Astrophysical Journal 567 (2): 1121. Bibcode:2002ApJ...567.1121E. doi:10.1086/338583.
- Spreckley, S. A.; Stevens, I. R. (2008). "The period and amplitude changes of Polaris (α UMi) from 2003 to 2007 measured with SMEI". Monthly Notices of the Royal Astronomical Society: –. arXiv:0805.1165. Bibcode:2008MNRAS.388.1239S. doi:10.1111/j.1365-2966.2008.13439.x.
- Usenko, I. A.; Miroshnichenko, A. S.; Klochkova, V. G.; Yushkin, M. V. (2005). "Polaris, the nearest Cepheid in the Galaxy: Atmosphere parameters, reddening and chemical composition". Monthly Notices of the Royal Astronomical Society 362 (4): 1219. Bibcode:2005MNRAS.362.1219U. doi:10.1111/j.1365-2966.2005.09353.x.
- Cayrel de Strobel, G.; Soubiran, C.; Ralite, N. (2001). "Catalogue of [Fe/H] determinations for FGK stars: 2001 edition". Astronomy and Astrophysics 373: 159. arXiv:astro-ph/0106438. Bibcode:2001A&A...373..159C. doi:10.1051/0004-6361:20010525.
- "Polaris: astrometric orbit, position, and proper motion". arXiv:astro-ph/0002406. Bibcode:2000A&A...360..399W.
- "There's More to the North Star Than Meets the Eye". Hubblesite.org. 2006-01-09. Retrieved 2012-04-14.
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- Turner, D. G.; Savoy, J.; Derrah, J.; Abdel‐Sabour Abdel‐Latif, M.; Berdnikov, L. N. (2005). "The Period Changes of Polaris". Publications of the Astronomical Society of the Pacific 117 (828): 207. Bibcode:2005PASP..117..207T. doi:10.1086/427838.
- Neilson, H. R.; Engle, S. G.; Guinan, E.; Langer, N.; Wasatonic, R. P.; Williams, D. B. (2012). "The Period Change of the Cepheid Polaris Suggests Enhanced Mass Loss". The Astrophysical Journal 745 (2): L32. arXiv:1201.0761. Bibcode:2012ApJ...745L..32N. doi:10.1088/2041-8205/745/2/L32.
- Irion, R. (2004). "AMERICAN ASTRONOMICAL SOCIETY MEETING: As Inconstant as the Northern Star". Science 304 (5678): 1740–1. doi:10.1126/science.304.5678.1740b. PMID 15205508.
- Kunitzsch, Paul; Smart, Tim (2006). A Dictionary of Modern star Names: A Short Guide to 254 Star Names and Their Derivations (2nd rev. ed.). Cambridge, Massachusetts: Sky Publishing. p. 23. ISBN 978-1-931559-44-7.
- Chisholm, Hugh, ed. (1911). "Cynosure". Encyclopædia Britannica (11th ed.). Cambridge University Press.
- Allen, Richard Hinckley (1969). Star Names: Their Lore and Meaning. Dover Publications Inc. (Reprint of 1899 original). ISBN 0-486-21079-0.
- occasionally also as a title of Jesus. Robert Bellarmine deprecated this use of the title: Haec appellatio stelle maris tribui solet Beate Virgini. Fortasse melius de Christo diceretur 'stella splendida et matutina' . . . . [N]am stella maris est stella polaris, quae exigua est. Stella splendida et matutina est stella omnium fulgentissima, quae ab astrologis dicitur stella Veneris; cited after Peter Godman, The saint as censor: Robert Bellarmine between inquisition and index, Mnemosyne, Bibliotheca Classica Batava, BRILL, 2000, ISBN 978-90-04-11570-5, p. 309
- Richard Hinckley Allen, Star names: their lore and meaning (1899), p. 457.
- Norton, Arthur P. (1973). Norton's Star Atlas. Edinburgh: Sky Publishing. p. 10. ISBN 0-85248-900-5.
4500 years ago it was Thuban (α Draconis); 8000 years hence it will be Deneb
- Nathaniel Bowditch: The American Practical Navigator, 2002 Bicentennial Ed., Chapter 15 Navigational Astronomy, page 248, Figure 1530a. Navigational stars and the planets
- A visual method to correct a ship's compass using Polaris using Ursa Major as a point of reference 
- Van Leeuwen, F. (1997). "The Hipparcos Mission". Space Science Reviews 81 (3/4): 201. doi:10.1023/A:1005081918325.
- Van Leeuwen, F. (2013). "The HIPPARCOS parallax for Polaris". Astronomy & Astrophysics 550: L3. arXiv:1301.0890. Bibcode:2013A&A...550L...3V. doi:10.1051/0004-6361/201220871.
- Liu, C.; Bailer-Jones, C. A. L.; Sordo, R.; Vallenari, A.; et al. (2012). "The expected performance of stellar parametrization with Gaia spectrophotometry". Monthly Notices of the Royal Astronomical Society 426 (3): 2463. arXiv:1207.6005. Bibcode:2012MNRAS.426.2463L. doi:10.1111/j.1365-2966.2012.21797.x.
- Radio Telescopes' Precise Measurements Yield Rich Scientific Payoffs
Kochab & Pherkad