Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2022-5pp.1104-1117

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Total articles in the database: 10864
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Abdullah A. Ansari, Rabah Kellil, and Shiv Kumar Sahdev, "Impact of Some Perturbations on the Generalized Elliptic Hill Problem," Mech. Solids. 57 (5), 1104-1117 (2022)
Year 2022 Volume 57 Number 5 Pages 1104-1117
DOI 10.3103/S002565442205003X
Title Impact of Some Perturbations on the Generalized Elliptic Hill Problem
Author(s) Abdullah A. Ansari (International Center for Advanced Interdisciplinary Research (ICAIR), Sangam Vihar, New Delhi, India, icairndin@gmail.com)
Rabah Kellil (Abbes Laghrour University, Khenchela, Algeria, kellilrabah@yahoo.fr)
Shiv Kumar Sahdev (Shivaji College, University of Delhi, New Delhi, India, shiv_sahdev@yahoo.co.in)
Abstract The aim of the present work is to investigate the dynamical behavior of a variable mass smallest body in R3BP configuration under the assumptions that both the massive bodies are oblate, having effects of radiations and moving in the elliptical orbits. It is assumed that this variation in mass follows Jeans' law. We start by deriving Hills problem using some transformations and then we use the Meshcherskii transformations to evaluate the equations of motion and Jacobi quasi-integral for our model. From the obtained equations, we determine analytically as well as numerically, the locations of parking points in orbital-plane and off-plane. We also illustrate the projections for zero-velocity surfaces and examine the stability states for these parking points numerically.
Keywords generalized problem, variable mass, parking points, zero-velocity surfaces
Received 28 August 2021Revised 09 December 2021Accepted 03 February 2022
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