Orbits for classical mechanics

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SUMMARY

The discussion focuses on determining the orbits of a mass \( m \) under the influence of a force described by \( F(r) = -\frac{A}{r^2} + \frac{B}{r^3} \), where \( A > 0 \) and \( B \) can be either positive or negative. Participants emphasize the importance of consulting Chapter 8 of "Classical Dynamics" by Thornton and Marion, which outlines the necessary steps for solving problems related to central force motion. Engaging with this material is essential for a comprehensive understanding of the topic.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with central force motion concepts
  • Knowledge of mathematical techniques for solving differential equations
  • Access to "Classical Dynamics" by Thornton and Marion
NEXT STEPS
  • Read Chapter 8 of "Classical Dynamics" by Thornton and Marion
  • Study the derivation of orbits under central forces
  • Explore the implications of varying values of \( B \) on orbital shapes
  • Practice solving similar problems involving central force motion
USEFUL FOR

Students of physics, particularly those studying classical mechanics, as well as educators and anyone seeking to deepen their understanding of orbital dynamics under central forces.

madwolf
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Find the orbits for the m mass under the F(r)=-A/r^2+B/r^3 . Where A>0 and B is positive or negative.
Friends, please help me for homework
 
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It is necessary for you to make some attempt at a solution. If you have not already done so, read a chapter in a classical mechanics book on central force motion. For example chp 8 in thornton and marion Classical Dynamics. The steps for solving such a problem will be outlined for you there.
 
AlexChandler said:
It is necessary for you to make some attempt at a solution. If you have not already done so, read a chapter in a classical mechanics book on central force motion. For example chp 8 in thornton and marion Classical Dynamics. The steps for solving such a problem will be outlined for you there.

thank you very much
 

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