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Solar mass

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Size and mass of very large stars: Smallest example, The Pistol Star (340 R☉) is also the most massive (150 M☉). Others are Rho Cassiopeiae (450 R☉/40 M☉), Betelgeuse (1000 R☉/ 20 M☉), and VY Canis Majoris (2100 R☉/30-40 M☉). (The Sun (1 R☉/1 M☉) which is barely visible in this thumbnail is included to illustrate the scale of example stars)

The solar mass (M), 1.98892×1030 kg, is a standard way to express mass in astronomy, used to describe the masses of other stars and galaxies. It is equal to the mass of the Sun, about two nonillion kilograms or about 332,950 times the mass of the Earth or 1,048 times the mass of Jupiter.

M_{\odot}=1.98892\times10^{30}\hbox{ kg}

The solar mass can be determined from the length of the year, the distance of the Earth to the Sun (the astronomical unit) (AU), and the gravitational constant (G) as

M_\odot=\frac{4 \pi^2 \times (1{\rm AU})^3}{G\times(1{\rm year})^2}.

Until recently[when?], neither the AU nor the gravitational constant was precisely known. However, a determination of the relative mass of another planet in the Solar System or of a binary star in units of solar masses does not depend on these poorly known constants. So it was useful to express these masses in units of solar masses (see Gaussian gravitational constant).

[edit] Solar mass and related units

One Solar mass can be converted to related units:

It is also common in general relativity to express mass in units of length.

M_\odot \frac{G}{c^2} \approx 1.48~\mathrm{km}

[edit] See also

[edit] References and further reading

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