Regularization of circular restricted three-body problem accounting radiation pressure and oblateness

详细信息    查看全文

• 作者：Vineet K. Srivastava ; Jai Kumar ; Badam Singh Kushvah
• 关键词：Three ; body problem ; Solar radiation ; Oblate spheroid ; Regularization
• 刊名：Astrophysics and Space Science
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：362
• 期：3
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Astrophysics and Astroparticles; Astronomy, Observations and Techniques; Cosmology; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics); Astrobiology;
• 出版者：Springer Netherlands
• ISSN：1572-946X
• 卷排序：362

文摘

In this paper, a time- and space-coordinate transformation, commonly known as the Kustaanheimo–Stiefel (KS)-transformation, is applied to reduce the order of singularities arising due to the motion of an infinitesimal body in the vicinity of a smaller primary in the three-body system. In this work, the Sun–Earth system is considered assuming the Sun to be a radiating body and the Earth as an oblate spheroid. The study covers motion around collinear Lagrangian \(L_{1}\) and \(L_{2}\) points. Numerical computations are performed for both regularized and non-regularized equations of motion and results are compared for non-periodic as well as periodic motion. In the transformed space, time is also computed as a function of solar radiation pressure (\(q\)) and oblateness of the Earth (\(A_{2}\)). The two parameters (\(q, A_{2}\)) have a significant impact on time in the transformed space. It is found that KS-regularization reduces the order of the pole from five to three at the point of singularity of the governing equations of motion.