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Variable mass motion in the Hénon–Heiles system
Modern Physics Letters A ( IF 1.4 ) Pub Date : 2021-07-09 , DOI: 10.1142/s0217732321501509
Abdullah A. Ansari 1 , Elbaz I. Abouelmagd 2
Affiliation  

In this work, we analyze the motion properties of the test particle, that has a variable mass within the frame of Hénon–Heiles system. We derive the equations of motion of the test particle which varies its mass according to Jean’s law. We also determine the quasi-Jacobi integral which shows the effective variation due to variable mass parameters. Further, we studied the locations of stationary points and their stability, after using Meshcherskii spacetime inverse transformations.

中文翻译:

Hénon-Heiles 系统中的变质量运动

在这项工作中,我们分析了在 Hénon-Heiles 系统框架内具有可变质量的测试粒子的运动特性。我们推导出根据让定律改变其质量的测试粒子的运动方程。我们还确定了准雅可比积分,它显示了由于可变质量参数而导致的有效变化。此外,在使用 Meshcherskii 时空逆变换后,我们研究了静止点的位置及其稳定性。
更新日期:2021-07-09
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