Null Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Null Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem
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| Creator |
Percino-Figueroa, B.A.
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| Description |
In [Arch. Ration. Mech. Anal. 213 (2014), 981-991] it has been proved that in the Newtonian N-body problem, given a minimal central configuration a and an arbitrary configuration x, there exists a completely parabolic orbit starting on x and asymptotic to the homothetic parabolic motion of a, furthermore such an orbit is a free time minimizer of the action functional. In this article we extend this result in abundance of completely parabolic motions by proving that under the same hypothesis it is possible to get that the completely parabolic motion starting at x has zero angular momentum. We achieve this by characterizing the rotation invariant weak KAM solutions as those defining a lamination on the configuration space by free time minimizers with zero angular momentum.
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| Date |
2019-02-18T18:23:06Z
2019-02-18T18:23:06Z 2017 |
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| Type |
Article
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| Identifier |
Null Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem / B.A. Percino-Figueroa // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 12 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37J15; 37J50; 70F10; 70H20 DOI:10.3842/SIGMA.2017.068 http://dspace.nbuv.gov.ua/handle/123456789/148745 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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