Analysis of exterior resonant periodic orbits in the photogravitational ERTBP

IF 2.2 3区工程技术 Q2 MECHANICS

Archive of Applied Mechanics Pub Date : 2023-03-04 DOI:10.1007/s00419-023-02374-8

Dhwani Sheth, V. O. Thomas, Niraj M. Pathak, Elbaz I. Abouelmagd

引用次数: 0

Abstract

In this study, the autonomous elliptical restricted three-body problem is used for obtaining Poincaré surface of sections in the photogravitational Sun–Saturn system. We have found the first-order exterior resonant orbits using the numerical technique of PSS and analysed the effects of eccentricity of the primaries’ orbit, radiation pressure and Jacobi constant on locations, periods, eccentricities and semi-major axes of resonant periodic orbits. It is observed that these orbits surround both primaries for all values of eccentricity of the primaries’ orbit and remain in the first-order exterior resonance with the Saturn.

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光引力ERTBP外共振周期轨道分析

本文利用自主椭圆受限三体问题求解太阳-土星光引力系统中剖面的poincarcars曲面。我们利用PSS的数值技术找到了一阶外共振轨道，并分析了主星轨道偏心率、辐射压力和雅可比常数对共振周期轨道位置、周期、偏心率和半长轴的影响。我们观察到，这些轨道围绕着两个原星的轨道，不论其轨道的偏心率是多少，都与土星保持一阶外共振。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.