A satellite launched into a circular orbit of radius ‘R’ around the earth while a second satellite is launched into an orbit of radius $$1.06R$$ . The percentage change in the time periods of the two satellite is

Question

A satellite launched into a circular orbit  of radius ‘R’ around the earth while a second satellite is launched into an  orbit of radius $$1.06R$$     . The percentage change in the time periods of the two  satellite is

Infinity Learn · Accepted Answer

$$T2T1=(R2R1)3/2=(1+0.061)3/2$$      ΔTT×$$100=32$$ΔRR×$$100$$ $$T2T1$$−$$1=(1+0.09)$$−$$1$$                     $$=32$$×$$1.06R$$−RR×$$100100$$×Δ$$TT=9$$                                      $$=32$$×$$0.06$$×$$100$$                                                                     $$=9$$%

A satellite launched into a circular orbit of radius ‘R’ around the earth while a second satellite is launched into an orbit of radius $1.06 R$ . The percentage change in the time periods of the two satellite is

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A satellite launched into a circular orbit of radius ‘R’ around the earth while a second satellite is launched into an orbit of radius 1.06R . The percentage change in the time periods of the two satellite is

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A satellite launched into a circular orbit of radius ‘R’ around the earth while a second satellite is launched into an orbit of radius $1.06 R$ . The percentage change in the time periods of the two satellite is