Two satellites S_(1) and S_(2) are revolving around a planet P in circular orbits of radii 4R and 9R respectively. If the speed of satellite S_(1) is 2V, then calculate the speed of satellite S_(2).

Two satellites S_(1) and S_(2) are revolving around a planet P in circ

1.	Two satellites S_(1) and S_(2) are revolving around a planet P in circular orbits of radii 4R and 9R respectively. If the speed of satellite S_(1) is 2V, then calculate the speed of satellite S_(2).
Answer» Solution :As we know orbital speed `V_(0) = SQRT((GM)/(R ))` For `S_(1), ""2V = sqrt((GM)/(4R))` …(i) For `S_(2), ""V. = sqrt((GM)/(9R))` …(ii) Dividing (i) by (ii) we get `(V.)/(2V) = sqrt((GM)/(9R)).sqrt((4R)/(GM))` `v. = 2V.2//3 = 4V//3`