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The mass of Mars is 6.418 × 10^23 kg. If a satellite revolving about Mars is...

The mass of Mars is 6.418 × 10^23 kg. If a satellite revolving about Mars is to hold a stationary orbit (have the same period as the period of Mars’s rotation, which is 1477.4 minutes), what must the semimajor axis of its orbit be?

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Answer #1

In given problem Semi major axis can be calculate using the below formula

al GM T2 = 472

This From Kepler's third Law

23 Given, Mass of Mars M = 6.418 x16 in . Time period of att, T = 1477 14 minutes = 1.47748103 minutes = 1.5x103 minutes = 1.. o3 , - | > ХІК 23 (9ько?) « 6. 61х10х6. At & x16 х (314) - (90 x163)*x 6.6x16 x 6.4k xid3 их (3 - 14) - (8too) х 10° к 6.C = 89 X (6 4 = txte = 39 x 16 = 2. 61 X เ” m semi Major anis a = 2:07x107m/

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