Angular Momentum Conservation Near a Planet: True or False?

In summary, the statement "Angular momentum about the center of the planet is conserved" is true. This is because there is no torque acting on the planet, and therefore the angular momentum remains constant throughout the motion of the object between a point close to the planet and a point very very far from the planet.
  • #1
tnutty
326
1

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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  • #2
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?
 
  • #3
so its false?
 
  • #4
No. It is true. Because there is no torque acting on the planet.
 

1. Is angular momentum conserved near a planet?

Yes, angular momentum is conserved near a planet as long as there are no external torques acting on the system.

2. Does a planet's mass affect the conservation of angular momentum?

Yes, a planet's mass affects the conservation of angular momentum as it determines the magnitude of the planet's moment of inertia.

3. Is angular momentum conserved in circular orbits?

Yes, angular momentum is conserved in circular orbits as the distance from the planet's center of mass remains constant, resulting in no change in angular velocity.

4. Does the shape of a planet's orbit affect the conservation of angular momentum?

Yes, the shape of a planet's orbit can affect the conservation of angular momentum if there are external torques acting on the system. Otherwise, if the orbit is stable, angular momentum is conserved.

5. Can the conservation of angular momentum be observed in planetary motion?

Yes, the conservation of angular momentum can be observed in planetary motion as Kepler's laws of planetary motion are based on the conservation of angular momentum.

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