Object
Title: The Three-body Problem in Riemannian Geometry. Hidden Irreversibility of the Classical Dynamical System
Abstract:
The classical three-body problem is formulated as a problem of geodesic flows on a Riemannian manifold. It is proved that a curved space allows to detect new hidden symmetries of the internal motion of a dynamical system and reduces the three-body problem to the system of 6th order. It is shown that the equivalence of the original Newtonian three-body problem and the developed representation provides coordinate transformations together with an underdetermined system of algebraic equations. The latter makes the system of geodesic equations relative to the evolution parameter (internal time), i.e. to the arc length of the geodesic curve, irreversible.
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Date of publication:
Identifier:
oai:noad.sci.am:136192
DOI:
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Journal or Publication Title:
Lobachevskii Journal of Mathematics
Volume:
Number:
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Affiliation:
Institute for Informatics and Automation Problems of NAS RA
Object collections:
- Digital Library > Academic Insitutions > Insitute for Informatics and Automation Problems of NAS RA > Publications
Last modified:
May 3, 2021
In our library since:
Apr 20, 2021
Number of object content hits:
45
All available object's versions:
https://noad.sci.am/publication/149757
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| Edition name | Date |
|---|---|
| Gevorkyan Ashot, The Three-body Problem in Riemannian Geometry. Hidden Irreversibility of the Classical Dynamical System | May 3, 2021 |
