IAT IISER2018PhysicsGravitation
A planet of mass (m ) moves in an elliptical path around the Sun (which is at one of the foci of the ellipse), so that its maximum and minimum distances from the Sun are (r_ ) and (r_ ), respectively. Taking the gravitational constant to be (G ) and the mass of the Sun to be (M_s ), what is the angular momentum of the planet relative to the center of the Sun?
Options
- A(2 G [M_s^2 m r_ r_ / (r_ +r_ ) ]^ 1 / 2 )
- B( [2 G M_s m^2 r_ r_ min / (r_ max +r_ min ) ]^ 1 / 2 )
- C(2 G [M_s^2 m r_ r_ / (r_ -r_ ) ]^ 1 / 2 )
- D( [2 G M_s m^2 r_ r_ min / (r_ max -r_ min ) ]^ 1 / 2 )
Correct answer
B. ( [2 G M_s m^2 r_ r_ min / (r_ max +r_ min ) ]^ 1 / 2 )
Step-by-step solution
No solution available.