OurBigBook About$ Donate
 Sign in+ Sign up
by Ciro Santilli (@cirosantilli, 37)

Hamilton's equations

 ... Science Natural science Physics Mechanics Lagrangian mechanics Hamiltonian mechanics
 0 By others on same topic  0 Discussions  Updated 2025-05-13  +Created 1970-01-01  See my version
Analogous to what the Euler-Lagrange equation is to Lagrangian mechanics, Hamilton's equations give the equations of motion from a given input Hamiltonian:
∂qj​∂H​=−p˙​j​∂pj​∂H​=q˙​j​
(1)
So once you have the Hamiltonian, you can write down this system of partial differential equations which can then be numerically solved.

 Ancestors (7)

  1. Hamiltonian mechanics
  2. Lagrangian mechanics
  3. Mechanics
  4. Physics
  5. Natural science
  6. Science
  7.  Home

 View article source

 Discussion (0)

+ New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic + Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook