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Электронный каталог: Hristov, I. - Hundreds of New Satellites of Figure-Eight Orbit Computed with High Precision
Hristov, I. - Hundreds of New Satellites of Figure-Eight Orbit Computed with High Precision
Книга (аналит. описание)
Автор: Hristov, I.
Application of Mathematics in Technical and Natural Science [Electronic resource]: Hundreds of New Satellites of Figure-Eight Orbit Computed with High Precision
б.г.
ISBN отсутствует
Автор: Hristov, I.
Application of Mathematics in Technical and Natural Science [Electronic resource]: Hundreds of New Satellites of Figure-Eight Orbit Computed with High Precision
б.г.
ISBN отсутствует
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Книга (аналит. описание)
Hristov, I.
Hundreds of New Satellites of Figure-Eight Orbit Computed with High Precision / I.Hristov, R.Hristova, I.Puzynin, T.Puzynina, Z.Sharipov, Z.Tukhliev // Application of Mathematics in Technical and Natural Science [Electronic resource] : 14th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’22, Albena, Bulgaria, 22–27 June 2022 / Ed.: M.D.Todorov. – New York : AIP, 2023. – P. 070003. – URL: https://doi.org/10.1063/5.0177835. – Bibliogr.: 25.
Satellites (topological powers) of the famous figure-eight orbit are special periodic solutions of the planar three-body problem. In this paper we use a modified Newton’s method based on the Continuous analog of Newton’s method and high precision arithmetic for a purposeful numerical search of new satellites of the figure-eight orbit. Over 700 new satellites are found, including 76 new linearly stable ones. 7 of the newly found linearly stable satellites are choreographies. The linear stability is checked by a high precision computing of the eigenvalues of the monodromy matrices. The initial conditions of all found solutions are given with 150 correct decimal digits. – (AIP Conference Proceedings ; Vol. 2953) .
ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 323 в - Задачи 3-4-х тел. Обратная задача рассеяния. Нестабильные частицы
Спец.(статьи,препринты) = С 17 а - Численный анализ. Исчисление конечных разностей. Интерполирование
Hristov, I.
Hundreds of New Satellites of Figure-Eight Orbit Computed with High Precision / I.Hristov, R.Hristova, I.Puzynin, T.Puzynina, Z.Sharipov, Z.Tukhliev // Application of Mathematics in Technical and Natural Science [Electronic resource] : 14th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’22, Albena, Bulgaria, 22–27 June 2022 / Ed.: M.D.Todorov. – New York : AIP, 2023. – P. 070003. – URL: https://doi.org/10.1063/5.0177835. – Bibliogr.: 25.
Satellites (topological powers) of the famous figure-eight orbit are special periodic solutions of the planar three-body problem. In this paper we use a modified Newton’s method based on the Continuous analog of Newton’s method and high precision arithmetic for a purposeful numerical search of new satellites of the figure-eight orbit. Over 700 new satellites are found, including 76 new linearly stable ones. 7 of the newly found linearly stable satellites are choreographies. The linear stability is checked by a high precision computing of the eigenvalues of the monodromy matrices. The initial conditions of all found solutions are given with 150 correct decimal digits. – (AIP Conference Proceedings ; Vol. 2953) .
ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 323 в - Задачи 3-4-х тел. Обратная задача рассеяния. Нестабильные частицы
Спец.(статьи,препринты) = С 17 а - Численный анализ. Исчисление конечных разностей. Интерполирование
