dorsal/arxiv
View SchemaAverage Angular Velocity
| Authors | H. Essen |
|---|---|
| Categories | |
| ArXiv ID | physics/0401146 |
| URL | https://arxiv.org/abs/physics/0401146 |
| DOI | 10.1088/0143-0807/14/5/002 |
| Journal | European Journal of Physics 14, pp.201-205, (1993) |
Abstract
This paper addresses the problem of the separation of rotational and internal motion. It introduces the concept of average angular velocity as the moment of inertia weighted average of particle angular velocities. It extends and elucidates the concept of Jellinek and Li (1989) of separation of the energy of overall rotation in an arbitrary (non-linear) $N$-particle system. It generalizes the so called Koenig's theorem on the two parts of the kinetic energy (center of mass plus internal) to three parts: center of mass, rotational, plus the remaining internal energy relative to an optimally translating and rotating frame.
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"abstract": "This paper addresses the problem of the separation of rotational and internal\nmotion. It introduces the concept of average angular velocity as the moment of\ninertia weighted average of particle angular velocities. It extends and\nelucidates the concept of Jellinek and Li (1989) of separation of the energy of\noverall rotation in an arbitrary (non-linear) $N$-particle system. It\ngeneralizes the so called Koenig\u0027s theorem on the two parts of the kinetic\nenergy (center of mass plus internal) to three parts: center of mass,\nrotational, plus the remaining internal energy relative to an optimally\ntranslating and rotating frame.",
"arxiv_id": "physics/0401146",
"authors": [
"H. Essen"
],
"categories": [
"physics.class-ph",
"physics.chem-ph",
"physics.gen-ph"
],
"doi": "10.1088/0143-0807/14/5/002",
"journal_ref": "European Journal of Physics 14, pp.201-205, (1993)",
"title": "Average Angular Velocity",
"url": "https://arxiv.org/abs/physics/0401146"
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