definition of Wikipedia
Under standard assumptions in astrodynamics we have:
For all circular orbits around a given central body:
The last equality has a very simple generalization to elliptic orbits:
In the more general case where the bodies need not be a large one and a small one (the two-body problem), we define:
Note that the reduced mass is also denoted by .
The value for the Earth is called the geocentric gravitational constant and equals 398,600.4418±0.0008 km3s−2. Thus the uncertainty is 1 to 500,000,000, much smaller than the uncertainties in G and M separately (1 to 7,000 each).
The value for the Sun is called the heliocentric gravitational constant and equals 1.32712440018×1020 m3s−2.
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