Angular Momentum Conservation Near a Planet: True or False?

[tnutty]

Homework Statement

Consider the motion of an object between a point close to the planet and a point very very far from the planet.
Indicate whether the following statements are true or false

Angular momentum about the center of the planet is conserved.

Homework Equations

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The Attempt at a Solution

I am not sure what is meant.

I don't want to just guess. any help/hint.

I would like to solve mathematically but also verbally as well.

 

[rl.bhat]

The angular moment changes when a torque acts on a body. In this case, throughout the motion of the object the line of the force is passing though the center of the planet.
Now, what is your conclusion?

 

[tnutty]

so its false?

 

[rl.bhat]

No. It is true. Because there is no torque acting on the planet.