for planets or satellites in circular orbits around a celestial body such as the sun orthe earth, the period T related to the radius of orbit r by Kepler's 3rd law T^2 = kr^3 where k is a constant
does the following statement collect?
1 )it would have a certain value for all planets moving around the sun, but a diff value for all satellites moving around the earth.
2) it would have a certain value for the earth moving around the sun, but a diff value for another planet moving around the sun
astronomy~physics
2013-10-30 8:31 am
回答 (1)
2013-10-30 4:17 pm
✔ 最佳答案
It can be shown that, using Newton's Law of Gravitation, the constant k is given by,k = (4.pi^2/GM)
where G is the Universal Gravitational constant
M is the mass of the celestial body around which planets or satellites are moving.
It is thus clear that the value of k depends only on the mass of the celestial body M around which planets or satellites are moving.
Hence,
statement 1 is correct, and
statement 2 is wrong.
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