| Autor: |
Hristov, I., Hristova, R., Puzynin, I., Puzynina, T., Sharipov, Z., Tukhliev, Z. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2953 Issue 1, p1-10, 10p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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