A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second sa

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 1.03 R . The time period of revolution of the second satellite is larger than the first one approximately by

TestHub · Accepted Answer

T 1 ​ ∝ ( R ) 3/2 and T 2 ​ ∝ ( 1.03 R ) 3/2 ⇒ T 2 ​ = ( 1.03 R ) 3/2 ⋅ T 1 ​ ≈ 1.045 T 1 ​ So T 2 ​ will larger by 4.5% w.r.t. T 1 ​ .

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