This paper addresses the dynamics of the infinitesimal body in the restricted three-body problem under the effect of Albedo when the smaller primary is a finite straight segment and bigger one is a source of radiation. The measure of diffusive reflection of solar radiation out of the total solar radiation received by a body is Albedo which is measured on a scale from 0 to 1. The equations of motion of the infinitesimal body are derived and it is found that there exist five libration points, out of which three are collinear and the rest are non-collinear with the primaries. All the collinear libration points are found to be unstable while the non-collinear libration points are stable for a critical value of the mass parameter. The perturbation of libration points and its stability due to the effect of Albedo and straight segment in the present problem are investigated. Further, it is found that the effect of Jacobian constant, length of the straight segment and Albedo parameter has a substantial influence on the possible regions of motion of the infinitesimal body. It is observed that when the value of the Jacobian constant decreases, the region of possible motion increases. When the length of the straight segment increases, the region of possible motion increases. Further, it is observed that as we increase the Albedo parameter, the region of possible motion decreases.
Chauhan, Shipra; Kumar, Dinesh; and Kaur, Bhavneet
Restricted Three-Body Problem Under the Effect of Albedo When Smaller Primary is a Finite Straight Segment,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
2, Article 37.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss2/37