Register to reply

Lejeune Dirichlet theorem

by matematikuvol
Tags: dirichlet, lejeune, theorem
Share this thread:
matematikuvol
#1
Apr3-12, 04:25 AM
P: 192
Lejeune Dirichlet theorem says that when potential energy has minima then equilibrium is stable, but that is sufficient condition. Can you give me example or examples where potential energy hasn't minima and equilibrium is stable. Tnx
Phys.Org News Partner Physics news on Phys.org
Optimum inertial self-propulsion design for snowman-like nanorobot
The Quantum Cheshire Cat: Can neutrons be located at a different place than their own spin?
A transistor-like amplifier for single photons
M Quack
#2
Apr3-12, 04:53 AM
P: 660
The Lagrangian points L4 and L5.

http://en.wikipedia.org/wiki/Lagrangian_point
matematikuvol
#3
Apr3-12, 05:37 AM
P: 192
Ok. But Lejeune Dirichlet theorem is for small oscilation. I don't see any oscilation in here?

M Quack
#4
Apr3-12, 06:11 AM
P: 660
Lejeune Dirichlet theorem

These are stable points, but only in a dynamic, rotating system. Stable implies that you can have small oscillations around the point of equilibrium.

Actually, the rotation of planets around the sun would be a simpler example of a dynamic equilibrium.


Register to reply

Related Discussions
Dirichlet's Theorem on Arithmetic Progressions Linear & Abstract Algebra 2
Question about Dirichlet's theorem on arithmetic progressions Linear & Abstract Algebra 2
Dirichlet BVP Calculus & Beyond Homework 0
Dirichlet's theorem Linear & Abstract Algebra 0
Weak form of Dirichlet's theorem Linear & Abstract Algebra 12