Minimum mass

In astronomy, minimum mass is the lower-bound calculated mass of observed objects such as planets, stars and binary systems, nebulae, and black holes.

Minimum mass is a widely cited statistic for extrasolar planets detected by the radial velocity method, and is determined using the binary mass function. This method reveals planets by measuring changes in the movement of stars in the line-of-sight, so the real orbital inclinations and true masses of the planets are generally unknown.

If inclination can be determined, the true mass can be obtained from the calculated minimum mass using the following relationship:

$M_{\text{true}}={\frac {M_{\min }}{\sin i}}\,$

For orbiting bodies in extrasolar stellar and planetary systems, an inclination of 0° or 180° corresponds to a face-on orbit (which cannot be observed by radial velocity), whereas an inclination of 90° corresponds to an edge-on orbit (for which the true mass equals the minimum mass).

References

• Kuchner, Marc J. (September 2004). "A Minimum-Mass Extrasolar Nebula". The American Astronomical Society. 612 (2): 1147–1151. arXiv:astro-ph/0405536. Bibcode:2004ApJ...612.1147K. doi:10.1086/422577.
• B. Arbutina (June 2007). "The minimum mass ratio of W UMa-type binary systems". Monthly Notices of the Royal Astronomical Society. 377 (4): 1635–1637. Bibcode:2007MNRAS.377.1635A. doi:10.1111/j.1365-2966.2007.11723.x. Retrieved 2008-05-24.