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
Avdhesh Kumaravdhesh@iucaa.ernet.inDepartment of MathematicsJrf Dst Project UniversityB.R.A. Bihar University, Muzaffarpur, Bihar, 842001, IndiaView full profile → , J.P. SharmaDepartment of MathematicsCo-P.I. Dst Project UniversityB.R.A. Bihar University, Muzaffarpur, Bihar, 842001, IndiaView full profile → , B. Ishwarishwar_bhola@hotmail.comDepartment of MathematicsP.I. Dst Project UniversityB.R.A. Bihar University, Muzaffarpur, Bihar, 842001, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 02 Nov 2007
- Published Online:
- 03 Jun 2013
- 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 . , 14 ( 1 ) : 176 – 181 .
- Colombo, G.D. and Shapiru, I.I.1996 . , 71 : 5705 – 5717 .
- Deprit, Andre. 1965 . , BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH, DTIC .
- Friedman, L. D.1975 . , Edited by: Garyand, G.A. and Chfton, K. S.251 Huntsville: NASA Marshall Space Flight Center .
- Ishwar, B.1997 . , 65 : 253 – 289 .
- Kushvah, B.S. and Ishwar, B.2004 . , 12 ( 1&2 ) : 109 – 114 .
- Ishwar, B. and Kushvah, B.S.2006 . , 4 ( 1 ) : 79 86
- Kushvah, B.S., Sharma, J.P. and Ishwar, B.2007a . ,
- Kushvah, B.S., Sharma, J.P. and Ishwar, B.2007b . , (Accepted)
- Liou, J.C., Zook, H.A. and Jackson, A.A. 1995 . , 116 : 186 – 201 .
- McCuskey, S.W.1963 . New York
- Murray, C.D.1994 . , 112 : 465 – 484 .
- O’Neill, G. K.1974 . , 27 September : 32 – 40 .
- Poincare, H.1892 . Vol. 1 , Dover1957
- Ragos, O. and Zafiropoulos, F. A.1995 . , 300 : 568 – 578 .
- Robertson, H.P.1937 . , 97 : 423 – 438 .
- Sahoo, S.K. and Ishwar, B.2000 . , 28 : 579 – 586 .
- Schuerman, D.W.1980 . , 238 ( 1 ) : 337 – 342 .
- Singh, J. and Ishwar, B.1999 . , 27 : 415 – 424 .
- Tripathi, Deepak and Ishwar, B.2005 . , 28 ( 1&3 )
- Wyatt, S.P. and Whipple, F.L.1950 . , 111 : 134 – 141 .
Views: 42Downloads: 68Citations: 0




