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

35.A satellite is launched into a circular orbit of radius R around th

1.	35.A satellite is launched into a circular orbit of radius R around the earth.A second satellite is launched into an orbit of radius 1.01R.The time peiriod of the second satellite is larger than that of the first one by approximately--------
Answer» Kepler's third law (law of periods): T2αr3T2=kr3Here,kisaproportionalityconstant Apply logarithm on both SIDES: logT2=logk+logr32logT=logk+3logrlogT=logk2+32logr Differentiate on both sides with RESPECT to R on both sides: 1TdTdr=0+32(1r)dTT=32(drr)=32(1.01R−RR)=0.015=1.5%

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

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