Resonances in the three-body problem with equal masses

被引：0
作者：
A. I. Martynova
V. V. Orlov
机构：
[1] St. Petersburg State Academy of Forestry Engineering,Astronomical Institute
[2] St. Petersburg State University,undefined
来源：
Astronomy Reports | 2011年 / 55卷
关键词：
Astronomy Report; Triple System; Loop Structure; Equal Mass; Main Resonance;
D O I：
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中图分类号：
学科分类号：
摘要：
Numerical simulations of near-resonant motions occurring in planar rotating systems of three bodies with equal masses are presented for the cases of prograde and retrograde motions of the inner and outer pairs. The ratios n: m of the initial periods of these pairs are within 1 ≤ m ≤ n ≤ 7. It is shown that, as a rule, retrograde are more stable than prograde motions. The k loop structures oriented inwards for prograde and outwards for retrograde motions are revealed. Empirical relations between k and n are found for the main resonances n: 1 and n: 2.
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页码：174 / 181
页数：7
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