Change in Angular Velocity While Orbiting With No Torque

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SUMMARY

The discussion centers on the relationship between angular velocity and torque in orbital mechanics, specifically addressing how angular velocity changes without net torque. Participants clarify that while angular momentum remains constant in the absence of torque, angular velocity can vary due to geometric factors as an object moves further from a star. The conversation highlights that a decrease in tangential velocity or an increase in radius leads to reduced angular velocity, emphasizing the distinction between angular momentum and angular velocity in non-rigid bodies.

PREREQUISITES
  • Understanding of angular momentum and its conservation principles
  • Familiarity with Newton's Second Law in rotational form, specifically ##\tau = I\alpha##
  • Basic knowledge of orbital mechanics and gravitational forces
  • Concepts of tangential and radial velocity in motion
NEXT STEPS
  • Study the conservation of angular momentum in non-rigid bodies
  • Learn about the geometric implications of orbital mechanics
  • Explore the relationship between tangential velocity and angular velocity
  • Investigate the effects of varying moment of inertia on angular motion
USEFUL FOR

Students of physics, astrophysicists, and anyone interested in the dynamics of orbital motion and angular momentum conservation.

  • #31
uSee2 said:
So essentially, we can't use ##\tau = I\alpha## for non-rigid body motion?
Yes, that is how I see it.
 

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