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The radius of nearly circular orbit of mercury is 5.8 X 10^10m and it's orbital period is 88 daya. If the hypothetical planet has an orbital period of 55days,what is the radius of its circular orbit?

The radius of nearly circular orbit of mercury is 5.8 X 10^10m and it's orbital period is 88 daya. If the hypothetical planet has an orbital period of 55days,what is the radius of its circular orbit?

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Let masses of both the planet is same
 
Then, by Kepler's law
T² = k* r³
 
Tp/Tm = (rp/ rm)3/2
Put the values given
& Hence you can find the radius

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