Axial oscillation of a planetoid in Restricted Three Body Problem : The circular Sitnikov problem

dc.contributor.author	Faruque, S. B
dc.date.accessioned	2008-07-28T07:36:56Z
dc.date.available	2008-07-28T07:36:56Z
dc.date.issued	2002-12
dc.identifier.citation	BASI, Vol. 30, No. 4, pp. 895 - 909	en
dc.identifier.uri	http://hdl.handle.net/2248/2909
dc.description.abstract	Two equally massive primaries are assumed to be moving in circular orbits in Cartesian x-y plane. A planetoid is assumed to be on the z-axis. This is a particular case of the restricted three body problem with mass ratio J,l.=1I2, known as the circular Sitnikov problem. Motion of the planetoid is calculated using LindStedtPoincare' perturbation and Green's function method. It is found that the planetoid oscillates nonlinearly along the z-axis. We present analytic solutions up to 2nd order of approximation and compare the solutions with earlier results of other authors. A solution of the exact problem is also discussed.	en
dc.format.extent	408151 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en	en
dc.publisher	Astronomical Society of India	en
dc.subject	Restricted Three Body	en
dc.subject	Sintikov Problem	en
dc.subject	Celestial Mechanics	en
dc.title	Axial oscillation of a planetoid in Restricted Three Body Problem : The circular Sitnikov problem	en
dc.type	Article	en