Simplified proof of Bertrand's theorem
Journal Article
·
· Am. J. Phys.; (United States)
By using a technique borrowed from the inverse problem for one-dimensional motion, the proof of Bertrand's theorem concerning the possible central forces leading to closed orbits is considerably simplified.
- Research Organization:
- Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
- OSTI ID:
- 6696354
- Journal Information:
- Am. J. Phys.; (United States), Vol. 56:12
- Country of Publication:
- United States
- Language:
- English
Similar Records
A generalization of Bertrand's theorem to surfaces of revolution
A Simple Proof of the Theorem Concerning Optimality in a One-Dimensional Ergodic Control Problem
Dispersion relations for causal Green's functions: Derivations using the Poincare--Bertrand theorem and its generalizations
Journal Article
·
Fri Aug 31 00:00:00 EDT 2012
· Sbornik. Mathematics
·
OSTI ID:6696354
A Simple Proof of the Theorem Concerning Optimality in a One-Dimensional Ergodic Control Problem
Journal Article
·
Sat Jan 15 00:00:00 EST 2000
· Applied Mathematics and Optimization
·
OSTI ID:6696354
Dispersion relations for causal Green's functions: Derivations using the Poincare--Bertrand theorem and its generalizations
Journal Article
·
Fri Jun 01 00:00:00 EDT 1990
· Journal of Mathematical Physics (New York); (USA)
·
OSTI ID:6696354