A satellite of mass m orbits around the Earth in an elliptical path of semi-major and semi-major axis 2a and a respectively such that the Earth is located at one of the foci of the elliptical path. Atan instant when the satellite is located at a distance of r, its velocity is n at an angle of 60^(@) with respect to the position vector of the satellite from the centre of the Earth, Consider only the gravitational force between the satellite and the Earth and assume that the Earth is perfect sphere. (Assume that mass of the satellite is neglible as compared to mass of the Earth )

A satellite of mass m orbits around the Earth in an elliptical path of

1.	A satellite of mass m orbits around the Earth in an elliptical path of semi-major and semi-major axis 2a and a respectively such that the Earth is located at one of the foci of the elliptical path. Atan instant when the satellite is located at a distance of r, its velocity is n at an angle of 60^(@) with respect to the position vector of the satellite from the centre of the Earth, Consider only the gravitational force between the satellite and the Earth and assume that the Earth is perfect sphere. (Assume that mass of the satellite is neglible as compared to mass of the Earth )
Answer» Orbitalangular momentum of the satellite with respectto centre of the Earth is `(sqrt(3))/(2)` mur Areal veocity of POSITION vector of the satellite with respect to centre of the Earth is `(sqrt(3))/(4)` UR Time period of orbital motion of the satellite around the Earth is `(8pia^(2))/(sqrt(3)ur)` time period of satellite orbital is independent of mass of the Earth Answer :A::B::C