The period of revolution of a planet in its orbit
المؤلف:
A. Roy, D. Clarke
المصدر:
Astronomy - Principles and Practice 4th ed
الجزء والصفحة:
p 177
11-8-2020
2531
The period of revolution of a planet in its orbit
Let us suppose the orbit to be circular so that r = a. Then expression (1)
(1)
becomes
(2)
But
V = 2πa/T
where T is the time it takes the planet to describe its circular orbit. Hence,
(3)
Although it will not be proved here, the expression (3) holds even when the orbit is elliptical, a being the semi-major axis of the orbit.
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