NAU Harvester System
Modification of the error ellipsoid under mass point motion
Вісник астрономічної школи
View Archive Info| Field | Value | |
| Title |
Modification of the error ellipsoid under mass point motion
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| Creator |
Antonov V.A.
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| Date |
2003
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| Source |
Astronomical School’s Report, 2003, Volume 4, Issue 1, P. 14-24
2411-6602 |
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| Identifier |
http://astro.nau.edu.ua/papers/AstSR_2003_Vol_4_Iss_1_P_14.pdf
10.18372/2411-6602.04.1014 |
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| Language |
ru
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| Description |
The motion of a mass point in an arbitrary force field is studied by means of the deformation of the phase space. Points which represent the variety of initial conditions fill a small ellipsoid in the phase space. One can select such combinations of ellipsoid parameters which remain invariant during the motion, independent of the particular kind of the force field. The number of such invariants is always equal to the number of degrees of freedom. One of the invariants can coincide with the size of the phase volume (Liouville’s theorem).
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| Publisher |
National Aviation University
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| Format |
application/pdf
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