Two planets A and B revolve around the same sun in different circular orbits. if `M_a:M_b` = 1:2 and `T_a:T_b` = 8:1 where `M_a,M_b` are masses and `T_a,T_b` are time periods of planet A and B. the ratio of angular momentum of planet A and planet B about their common sun is

Two planets A and B are revolving in circular orbits around a fixed sun. Time period of the planet B is 2sqrt(2) times that of planet A . Find the ratio of solar constant for planet A to that of B . Neglect gravitational force between the planets.

If a planet revolves around the sun in a circular orbit of radius a with a speed of revolution T, then (K being a positive constant

Speed of a planet in an ellioptical orbit with semimajor axis a about sun of mass M at a distance r from sun is

A planet is revolving around the sun in a circular orbit with a radius r. The time period is T .If the force between the planet and star is proportional to r^(-3//2) then the quare of time period is proportional to

Two planets A and B have the same average density . Their radii R_A and R_B are such that R_A: R_B = 3 : 1 . If g_A and g_B are the acceleration due to gravity at the surface of the planets , the g_A : g_B equals

Two planets A and B have the same averge density . Their radii R_A and R_B are such that R_A : R_B = 3 : 1 . If g_A and g_B are the acceleration due to gravity at the surfaces of the planets, the g_A : g_B equals

A system of binary stars of mass m_(A) and m_(B) are moving in circular orbits of radii r_(A) and r_(B) respectively. If T_(A) and T_(B) are at the time periods of masses m_(A) and m_(B) respectively then

A planet is moving round the sun in an elliptical orbit as shows. As the planet moves from A to B

Many planets are revolving around the fixed sun in circular orbits of different radius (R) and difference time period (T) To estimate the mass of the sun the orbital radius (R) and time period (T) of planets were noted. Then "log"_(10) T v/s "log"_(10)R curve was plotted. The curve was found to be approximately straight line (as shown in) having y intercept =6.0 (Neglect the gravitational interaction among the planets) [Take G = (20)/(3) xx 10^(-11) in MKS, pi^(2)= 10 ] The slope of the line should be .

Two satellites A and B go around a planet in circular orbits of radii 4 R and R respectively. If the speed of the satellite A is 3 V, then the speed of the satellite B will be