Makó, Z. (2005) Hill's stability of the Moon in the spatial elliptic restricted three-body problem. In: British-Romanian-Hungarian N+N+N Workshop for Young Researchers On Plasma- and Astrophysics: from laboratory to outer space Edited by I. Ballai, E. Forgács-Dajka, A. Marcu and K. Petrovay. Publications of the Astronomy Department of the Eötvös University (15). ELTE Sokszorosítóüzeme, Budapest, pp. 231-236.
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Abstract
Hill's global and nonlinear stability theory has the advantage of being applicable to a great variety of dynamical systems, including those occurring in the solar system. He used his method originally to study the stability of the Moon as influenced by the Earth and the Sun. V. Szebehely showed that in the model of circular restricted three-body problem the measure of stability for the Earth's Moon is very low. Using the invariant relation of the spatial elliptic restricted three-body problem we show that the measure of stability for the Earth's Moon oscillate above stability critical value.
| Item Type: | Book Section |
|---|---|
| Additional Information: | PADEU Volume 15 British-Romanian-Hungarian N+N+N Workshop for Young Researchers On Plasma- and Astrophysics: from laboratory to outer space Edited by I. Ballai, E. Forgács-Dajka, A. Marcu and K. Petrovay |
| Uncontrolled Keywords: | Hill’s stability, Restricted three-body problem |
| Subjects: | Q Science / természettudomány > QB Astronomy, Astrophysics / csillagászat, asztrofizika |
| Depositing User: | Emese Kató |
| Date Deposited: | 25 Oct 2024 11:54 |
| Last Modified: | 25 Oct 2024 11:54 |
| URI: | https://real.mtak.hu/id/eprint/207979 |
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