dorsal/arxiv
View SchemaOrbits in a central force field: Bounded orbits
| Authors | Subhankar Ray, J. Shamanna |
|---|---|
| Categories | |
| ArXiv ID | physics/0410149 |
| URL | https://arxiv.org/abs/physics/0410149 |
Abstract
The nature of boundedness of orbits of a particle moving in a central force field is investigated. General conditions for circular orbits and their stability are discussed. In a bounded central field orbit, a particle moves clockwise or anticlockwise, depending on its angular momentum, and at the same time oscillates between a minimum and a maximum radial distance, defining an inner and an outer annulus. There are generic orbits suggested in popular texts displaying the general features of a central orbit. In this work it is demonstrated that some of these orbits, seemingly possible at the first glance, are not compatible with a central force field. For power law forces, the general nature of boundedness and geometric shape of orbits are investigated.
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"abstract": "The nature of boundedness of orbits of a particle moving in a central force\nfield is investigated. General conditions for circular orbits and their\nstability are discussed. In a bounded central field orbit, a particle moves\nclockwise or anticlockwise, depending on its angular momentum, and at the same\ntime oscillates between a minimum and a maximum radial distance, defining an\ninner and an outer annulus. There are generic orbits suggested in popular texts\ndisplaying the general features of a central orbit. In this work it is\ndemonstrated that some of these orbits, seemingly possible at the first glance,\nare not compatible with a central force field. For power law forces, the\ngeneral nature of boundedness and geometric shape of orbits are investigated.",
"arxiv_id": "physics/0410149",
"authors": [
"Subhankar Ray",
"J. Shamanna"
],
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"physics.ed-ph",
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"title": "Orbits in a central force field: Bounded orbits",
"url": "https://arxiv.org/abs/physics/0410149"
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