dorsal/arxiv
View SchemaAbout the Constant of Motion, Lagrangian and Hamiltonian of the Gravitational Attraction of Two Bodies with Variable Mass (Gylden-Meshcherskii problem)
| Authors | G. Lopez, E. M. Juarez |
|---|---|
| Categories | |
| ArXiv ID | physics/0703071 |
| URL | https://arxiv.org/abs/physics/0703071 |
Abstract
The Lagrangian, the Hamiltonian and the constant of motion of the gravitational attraction of two bodies when one of them has variable mass is considered. This is done by choosing the reference system in one of the bodies which allows to reduce the system of equations to 1-D problem. The trajectories found in the space position-velocity,(x,v), are qualitatively different from those on the space position-momentum,(x,p).
{
"annotation_id": "1d9f489c-ff8f-40c8-9912-c65db3e5e6b6",
"date_created": "2026-03-02T18:01:17.373000Z",
"date_modified": "2026-03-02T18:01:17.373000Z",
"file_hash": "73611e198ea0902b85baf7538eb52a5c6f86537f824a43084384737fbe6d2335",
"private": false,
"record": {
"abstract": "The Lagrangian, the Hamiltonian and the constant of motion of the\ngravitational attraction of two bodies when one of them has variable mass is\nconsidered. This is done by choosing the reference system in one of the bodies\nwhich allows to reduce the system of equations to 1-D problem. The trajectories\nfound in the space position-velocity,(x,v), are qualitatively different from\nthose on the space position-momentum,(x,p).",
"arxiv_id": "physics/0703071",
"authors": [
"G. Lopez",
"E. M. Juarez"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"title": "About the Constant of Motion, Lagrangian and Hamiltonian of the Gravitational Attraction of Two Bodies with Variable Mass (Gylden-Meshcherskii problem)",
"url": "https://arxiv.org/abs/physics/0703071"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9709760e-7caa-49f9-926b-cd3af6fda1f1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}