Om Prakash Meena , Manas Lohani , Soham Sen , Deepesh Mishra , Rajiv Aggarwal
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引用次数: 0
Abstract
This study delves into periodic orbits within the circular restricted three-body problem (CR3BP), where a negligible mass orbits under the gravitational pull of two primary bodies. Specifically, we examine the dynamics of the third body in the CR3BP with an oblate larger primary. We determine periodic orbits around the libration points, accounting for the oblate spheroidal shape of the larger primary, using the Fourier series method. We analyze both short and long periodic orbits, presenting variational graphs to depict changes in the period of the orbits. Furthermore, we investigate how oblateness and mass parameters affect the dimensions and periods of the periodic orbits.
期刊介绍：
The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear.
The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas.
Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.
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