Physics

Problem

Suppose two planets (spherical in shape) of radii

R

and

2R

, but mass

M

and

9M

respectively have a centre to centre separation

8R

as shown in the figure. A satellite of mass

m

is projected from the surface of the planet of mass

M

directly towards the centre of the second planet. The minimum speed

v

required for the satellite to reach the surface of the second planet is

\sqrt{\frac{a}{7}\frac{GM}{R}}

then the value of

a

is ____. Given: The two planets are fixed in their position