TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
Powered by:Powered by

The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Original Articles

Linear Stability of Triangular Equilibrium Points in the Photogravitational Restricted Three Body Problem with Poynting -Robertson Drag when both Primaries are Oblate Spheroid

, ,

* Corresponding author · click or hover a name for details

pp. 193–202Vol. 5Issue 2November 2007DOI: 10.1080/1726037X.2007.10698538XML
Received:
02 Nov 2007
Published Online:
01 Nov 2007
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2007.10698538
Pages:
193–202

Abstract

We have examined the linear stability of triangular equilibrium points in the photogravitational restricted three body problem with Poynting- Robertson drag when both primaries are considered as radiating as well as oblate spheroid. We have found the position of triangular equilibrium points of our problem. The equations of motion are affected by radiation pressure force, oblateness and P-R drag. With the help of characteristic equation, we have discussed the stability conditions. All classical results involving photogravitational and oblateness in restricted three body problem may be verified from this result.

Keywords

References

Chernikov, Yu.A.1970 . Sov. Astr. AJ, 14 ( 1 ) : 176 – 181 . Colombo, G.D. and Shapiru, I.I.1996 . J. Geophys. Res, 71 : 5705 – 5717 . Deprit, Andre. 1965 . Routh’s Critical Mass Ratio at the Triangular Libration Centers, BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH, DTIC . Friedman, L. D.1975 . In Proceedings of the Shuttle-Based Cometary Science Workshop, Edited by: Garyand, G.A. and Chfton, K. S.251 Huntsville: NASA Marshall Space Flight Center . Ishwar, B.1997 . Celst. Mech. and Dyn. Astron, 65 : 253 – 289 . Kushvah, B.S. and Ishwar, B.2004 . Review Bull. Cal. Math. Soc, 12 ( 1&2 ) : 109 – 114 . Ishwar, B. and Kushvah, B.S.2006 . Journal of Dynamical Systems & Geometric Theories, 4 ( 1 ) : 79 86 Kushvah, B.S., Sharma, J.P. and Ishwar, B.2007a . Earth Moon and Planets, Kushvah, B.S., Sharma, J.P. and Ishwar, B.2007b . Bulletin of Astronomical Society of India, (Accepted) Liou, J.C., Zook, H.A. and Jackson, A.A. 1995 . Icarus, 116 : 186 – 201 . McCuskey, S.W.1963 . Introduction to celestial Mechanics Addison Wesley Publishing company IncNew YorkMurray, C.D.1994 . Icarus, 112 : 465 – 484 . O’Neill, G. K.1974 . Physics Today, 27 September : 32 – 40 . Poincare, H.1892 . Les Methodes Nouvelles de la Mechanique CelesteVol. 1 , Dover1957 Ragos, O. and Zafiropoulos, F. A.1995 . Astron. Astrophys, 300 : 568 – 578 . Robertson, H.P.1937 . Mon.Not. Roy. Astron. Soc, 97 : 423 – 438 . Sahoo, S.K. and Ishwar, B.2000 . Bull. Astron. Soc. India, 28 : 579 – 586 . Schuerman, D.W.1980 . Astrophys. J, 238 ( 1 ) : 337 – 342 . Singh, J. and Ishwar, B.1999 . Bull. Astro. Soc. India, 27 : 415 – 424 . Tripathi, Deepak and Ishwar, B.2005 . News Bull. Cal. Math. Soc, 28 ( 1&3 ) Wyatt, S.P. and Whipple, F.L.1950 . American Astr. Soc. AP J, 111 : 134 – 141 .
Views: 8Downloads: 6Citations: 0