Periodic Orbits of the First Kind in the CR4BP When the Second Primary Is a Triaxial Rigid Body

• 作者: M. R. Hassan Md. Aminul Hassan Payal Singh
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: AUTONOMOUS Four-Body Problem CR4BP TRIAXIAL Rigid Body REGULARIZATION GENERATING and General Solution PERIODICITY
• 年，卷（期）: 2017,（3）
• 页码范围: 133-153
• 页数: 21页
• 分类号: O1

摘要

The present paper deals with the existence of periodic orbits in the Circular Restricted Four-Body Problem (CR4BP) in two-dimensional co-ordinate system when the second primary is a triaxial rigid body and the third primary of inferior mass (in comparison of the other primaries) is placed at triangular libration point L4 of the Circular Restricted Three-Body Problem (CR3BP). With the help of generating solutions, we formed a basis for the existence of periodic orbits, then an analytical approach given by Hassan et al. [1], was applied to our model of equilateral triangular configuration. It is found that in general solution also;the character of periodic orbits is conserved. For verification of the existence of periodic orbits, we have applied the criterion of Duboshin [2] and found satisfied.