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The time period of an artificial satellite in a circular orbit of radius R is 2 days and its orbital velocity is Vo. If time period of another satellite in a circular orbitis 16 days then: |
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Answer» tion:ACCORDING to the Kepler's THIRD law T 2 ∝R 3 ∴ T 2 T 1 =( R 2 R 1 3/2 ) or R 2 =(R 1 )( T 1 T 2 ) 3/2 =(R 1 )( 216 ) 2/3 =4R 1 =4R (given R 1 =R) ....(i)Orbital velocity, V o = RGM ∴ v o1 v o2 = R 2 R 1 = 4R 1 R 1 = 21 ....(using (i))or v o2 = 21 v o1 = 21 v o |
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