KMS Of Academy of mathematics and systems sciences, CAS
Oscillatory orbits in the restricted planar four body problem | |
Seara,Tere M1; Zhang,Jianlu2 | |
2020-10-23 | |
发表期刊 | Nonlinearity |
ISSN | 0951-7715 |
卷号 | 33期号:12 |
摘要 | AbstractThe restricted planar four body problem describes the motion of a massless body under the Newtonian gravitational force of other three bodies (the primaries), and the motion of the primaries gives us general solutions of the three body problem. A trajectory is called oscillatory if it goes arbitrarily faraway but returns infinitely many times to the same bounded region. We prove the existence of such type of trajectories provided the primaries evolve in suitable periodic orbits. |
关键词 | restricted planar four body problem final motions oscillatory orbits parabolic orbits three body problem lambda lemma scattering map restricted planar four body problem final motions oscillatory orbits parabolic orbits three body problem lambda lemma scattering map primary 37N05 37D10 secondary 70F07 70H09 |
DOI | 10.1088/1361-6544/abaf5f |
语种 | 英语 |
WOS记录号 | IOP:0951-7715-33-12-abaf5f |
出版者 | IOP Publishing |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/52130 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.Departament de Matemàtiques, Universitat Politècnica de Catalunya, Spain 2.Mathematics Institute, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing, 100190, People’s Republic of China |
推荐引用方式 GB/T 7714 | Seara,Tere M,Zhang,Jianlu. Oscillatory orbits in the restricted planar four body problem[J]. Nonlinearity,2020,33(12). |
APA | Seara,Tere M,&Zhang,Jianlu.(2020).Oscillatory orbits in the restricted planar four body problem.Nonlinearity,33(12). |
MLA | Seara,Tere M,et al."Oscillatory orbits in the restricted planar four body problem".Nonlinearity 33.12(2020). |
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