Abstract
This paper studies the position and stability of equilibrium points in the circular restricted three-body problem under the influence of small perturbations in the Coriolis and centrifugal forces when the primaries are radiating and heterogeneous oblate spheroids. It is seen that there exist five libration points as in the classical restricted three-body problem, three collinear L_{i} ,(i = 1,2,3) and two triangular L_{i} ,(i = 4,5). It is also seen that the triangular points are no longer to form equilateral triangles with the primaries rather they form simple triangles with line joining the primaries. It is further observed that despite all perturbations the collinear points remain unstable while the triangular points are stable for 0 < mu < mu _{c} and unstable for mu _{c} le mu le frac{1}{2} , where mu _{c} is the critical mass ratio depending upon aforementioned parameters. It is marked that small perturbation in the Coriolis force, radiation and heterogeneous oblateness of the both primaries have destabilizing tendencies. Their numerical examination is also performed.
Highlights
This paper studies the position and stability of equilibrium points in the circular restricted threebody problem under the influence of small perturbations in the Coriolis and centrifugal forces when the primaries are radiating and heterogeneous oblate spheroids
He considered the effect of a small perturbation in the Coriolis force on the stability of the equilibrium points keeping the centrifugal force constant, He found that the collinear points are still unstable but the triangular points bear a relation between the critical value of the mass parameter μc and the change ǫ in the Coriolis force: μc 1√6ǫ 3 69 implying that the Coriolis force is a stabilizing force[2]
Studied the effect of small perturbations in the Coriolis and centrifugal forces on the stability of equilibrium points in the restricted problem. They observed that the collinear points remain collinear, but the triangular libration points nearly form equilateral triangles with the primaries, they revealed that these perturbations have null effects on the stability of collinear points, but have considerate effects on the stability of triangular points
Summary
This paper studies the position and stability of equilibrium points in the circular restricted threebody problem under the influence of small perturbations in the Coriolis and centrifugal forces when the primaries are radiating and heterogeneous oblate spheroids. Examined the equilibrium points in the perturbed restricted three body problem with triaxial and luminous primaries He observed that the position of the five libration points are affected by the radiation, triaxiality and a small perturbation in the centrifugal force, but not affected by that of Coriolis force. Deals with the stationary solution of the planar restricted three body problem when the primaries are heterogeneous oblate spheroid with three layers of different density and source of radiation They locate all the equilibrium points of both the in-plane and out-of-plane and proved that they are
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
