 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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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 Hill’s 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 2021 | Revised |
09 December 2021 | Accepted |
03 February 2022 |
| Link to Fulltext |
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