A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius 1.01 R . The period of the second satellite is larger than that of the first one by approximately

Question

A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius 1.01 R . The period of the second satellite is larger than that of the first one by approximately,

MARKS App · Accepted Answer

In the problem orbital radius is increased by 1 % Time period of satellite T ∝ r 3 / 2 ⇒ ∆ T T = 3 2 × ∆ r r Percentage change in the time period = 3 2 [ % change in orbital radius] = 3 2 1 % = 1.5 %

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