Angular momentum, torque and eccentricity

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SUMMARY

The discussion clarifies that angular momentum does not influence the eccentricity of an orbit in Newton-Kepler dynamics, with eccentricity remaining relatively stable unless affected by tidal forces. Angular momentum is conserved and plays a role in the variation of a planet's speed as described by Kepler's second law, which states that a radius vector from the planet to the sun sweeps out equal areas in equal times. Torque, defined as a twisting force resulting from a force acting on a lever arm, can be utilized to develop Keplerian orbits.

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  • Understanding of Newton-Kepler orbits
  • Familiarity with Kepler's laws of planetary motion
  • Basic knowledge of angular momentum conservation
  • Concept of torque in physics
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StephenPrivitera
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How is eccentricity of an orbit affected by the angular momentum of the orbiting body (mathematically, that is)? How does torque affect angular momentum? How is a torque exerted? What is a torque?
 
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Originally posted by StephenPrivitera
How is eccentricity of an orbit affected by the angular momentum of the orbiting body (mathematically, that is)? How does torque affect angular momentum? How is a torque exerted? What is a torque?

All of the following is at the level of Newton-Kepler orbits.


Angular momentum does not affect the eccentricity, or vice versa. The eccentricity does not change greatly, unless there are tidal effects. Angular momentum is conserved. They interact to cause the planet's speed to vary according to Kepler's second law: A radius vector from the planet to the sun sweeps out equal areas in equal times.

Torque is twisting force, given by a force acting on a lever arm, or equivalent. You can use torque to develop Keplerian orbits, and there used to be a website that did this, but I have lost the link.
 

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