Hamilton's equations of motion for non-conservative systems
| Autor: | Frank Thomas Tveter |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Hamiltonian mechanics
Applied Mathematics Equations of motion Astronomy and Astrophysics Hamiltonian optics Computational Mathematics symbols.namesake Classical mechanics Space and Planetary Science Modeling and Simulation symbols Applied mathematics Canonical form Hamilton's principle Hamiltonian (quantum mechanics) Conservative force Mathematical Physics Vector space Mathematics |
| Zdroj: | Celestial Mechanics & Dynamical Astronomy. 60:409-419 |
| ISSN: | 1572-9478 0923-2958 |
| DOI: | 10.1007/bf00692025 |
| Popis: | This paper deals with the Hamilton equations of motion and non conservative forces. The paper will show how the Hamilton formalism may be expanded so that the auxiliary equations for any problem may be found in any set of canonical variables, regardless of the nature of the forces involved. Although the expansion does not bring us closer to an analytical solution of the problem, it's simplicity makes it worth noticing. The starting point is a conservative system (for instance a satellite orbiting an oblate planet) with a known Hamiltonian (K) and canonical variables {Q, P}. This system is placed under influence of a non-conservative force (for instance drag-force). The idea is then to use, as far as possible, the same definitions used in the conservative problem, in the process of finding the auxiliary equations for the perturbed system. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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