dorsal/arxiv
View SchemaNumerical solution of perturbed Kepler problem using a split operator technique
| Authors | G. S. Balaraman, D. Vrinceanu |
|---|---|
| Categories | |
| ArXiv ID | physics/0610033 |
| URL | https://arxiv.org/abs/physics/0610033 |
| DOI | 10.1016/j.physleta.2007.04.107 |
Abstract
An efficient geometric integrator is proposed for solving the perturbed Kepler motion. This method is stable and accurate over long integration time, which makes it appropriate for treating problems in astrophysics, like solar system simulations, and atomic and molecular physics, like classical simulations of highly excited atoms in external fields. The key idea is to decompose the hamiltonian in solvable parts and propagate the system according to each term. Two case studies, the Kepler atom in an uniform field and in a monochromatic field, are presented and the errors are analyzed.
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"abstract": "An efficient geometric integrator is proposed for solving the perturbed\nKepler motion. This method is stable and accurate over long integration time,\nwhich makes it appropriate for treating problems in astrophysics, like solar\nsystem simulations, and atomic and molecular physics, like classical\nsimulations of highly excited atoms in external fields. The key idea is to\ndecompose the hamiltonian in solvable parts and propagate the system according\nto each term. Two case studies, the Kepler atom in an uniform field and in a\nmonochromatic field, are presented and the errors are analyzed.",
"arxiv_id": "physics/0610033",
"authors": [
"G. S. Balaraman",
"D. Vrinceanu"
],
"categories": [
"physics.comp-ph",
"physics.atom-ph"
],
"doi": "10.1016/j.physleta.2007.04.107",
"title": "Numerical solution of perturbed Kepler problem using a split operator technique",
"url": "https://arxiv.org/abs/physics/0610033"
},
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