All Questions
3
questions
9
votes
2
answers
741
views
Can the equivalence principle be safely used in non-relativistic mechanics?
Imagine an ideal pendulum in a train. While the train is in uniform motion, Newton's laws apply within the train, and we can easily write down the equations of motion for the pendulum. Now assume the ...
- 9,304
1
vote
0
answers
482
views
Connection between Kepler Problem and Harmonic Oscillator
Background. Take the Kepler Lagrangian as
$L^K = \frac{1}{2}\dot{q}_i\dot{q}_i + \frac{k}{q}$,
and the Lagrangian for the isotropic harmonic oscillator as
$L^H = \frac{1}{2}\dot{q}_i\dot{q}_i - \...
- 21
6
votes
1
answer
322
views
What is the connection between Newton's Shell Theorem and Bertrand's Theorem?
The most general force that can fulfil the first part of Newton's Shell theorem (any spherically symmetric body affects external bodies as if its mass were concentrated at its centre) is an inverse ...
- 9,910