Variable mass motion in the Hénon–Heiles system-Reference-Cited by-同舟云学术

Variable mass motion in the Hénon–Heiles system

Published:2021-07-09 Issue:21 Volume:36 Page:2150150
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Ansari Abdullah A.¹,Abouelmagd Elbaz I.²

Affiliation:

1. International Center for Advanced Interdisciplinary Research (ICAIR), Sangam Vihar, New Delhi, India

2. Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), 11421 Helwan, Cairo, Egypt

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732321501509

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