Angular Momentum Conservation Near a Planet: True or False?

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Angular momentum about the center of a planet is conserved when an object moves from a point close to the planet to a point far away. The key factor is that no external torque is acting on the object during this motion. Although the line of force passes through the planet's center, it does not create a torque that would alter angular momentum. Therefore, the statement regarding the conservation of angular momentum in this scenario is true. Understanding this principle is essential for solving related physics problems.
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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



?

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.
 
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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?
 
so its false?
 
No. It is true. Because there is no torque acting on the planet.
 

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