In the present paper, in the rectilinear three-body problem, we qualitatively follow the positions of non-Schubart periodic orbits as the mass parameter changes. This is done by constructing their characteristic curves. In order to construct characteristic curves, we assume a set of properties on the shape of areas corresponding to symbol sequences. These properties are assured by our preceding numerical calculations. The main result is that characteristic curves always start at triple collision and end at triple collision. This may give us some insight into the nature of periodic orbits in the N-body problem.
机构:
St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Orlov, Victor Vladimirovich
Petrova, Anna V.
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St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Petrova, Anna V.
Tanikawa, Kiyotaka
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Natl Astron Observ, Mitaka, Tokyo 181, JapanSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Tanikawa, Kiyotaka
Saito, Masaya M.
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Natl Astron Observ, Mitaka, Tokyo 181, Japan
SOKENDAI, Dept Astron Sci, Mitaka, Tokyo, JapanSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Saito, Masaya M.
Martynova, Alija I.
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State Forest Tech Acad, St Petersburg 194021, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
机构:
St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Orlov, Victor Vladimirovich
Petrova, Anna V.
论文数: 0引用数: 0
h-index: 0
机构:
St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Petrova, Anna V.
Tanikawa, Kiyotaka
论文数: 0引用数: 0
h-index: 0
机构:
Natl Astron Observ, Mitaka, Tokyo 181, JapanSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Tanikawa, Kiyotaka
Saito, Masaya M.
论文数: 0引用数: 0
h-index: 0
机构:
Natl Astron Observ, Mitaka, Tokyo 181, Japan
SOKENDAI, Dept Astron Sci, Mitaka, Tokyo, JapanSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Saito, Masaya M.
Martynova, Alija I.
论文数: 0引用数: 0
h-index: 0
机构:
State Forest Tech Acad, St Petersburg 194021, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia