# Question #25b65

##### 1 Answer

Option (3) only if

Orbital angular velocity is equal to spin angular velocity.

#### Explanation:

Let the spherical satellite of mass

Its spin angular momentum

#L_s=Iomega#

where#I# is its moment of inertia and for a sphere#=2/5ma^2#

#:.L_s=2/5ma^2omega_s# .........(1)

Orbital angular momentum

#vecL = vecr × vecp#

Let

Orbital velocity is always perpendicular to the radius vector hence

#L_o = b^2 momega_o# .........(2)

Ratio of orbital angular momentum to spin angular momentum is

#L_o/L_s=(b^2 momega_o)/(2/5ma^2omega_s)#

#L_o/L_s=(5b^2 omega_o)/(2a^2omega_s)#