%0 Journal Article
%T Periodic Orbits of the First Kind in the CR4BP When the Second Primary Is a Triaxial Rigid Body
%A M. R. Hassan
%A Payal Singh
%A Md. Aminul Hassan
%J International Journal of Astronomy and Astrophysics
%P 133-153
%@ 2161-4725
%D 2017
%I Scientific Research Publishing
%R 10.4236/ijaa.2017.73011
%X The present paper deals with the existence of periodic orbits in the Circular Restricted Four-Body Problem (CR4BP) in two-dimensional co-ordinate system when the second primary is a triaxial rigid body and the third primary of inferior mass (in comparison of the other primaries) is placed at triangular libration point L<sub>4</sub> of the Circular Restricted Three-Body Problem (CR3BP). With the help of generating solutions, we formed a basis for the existence of periodic orbits, then an analytical approach given by Hassan <em>et al</em>. [1], was applied to our model of equilateral triangular configuration. It is found that in general solution also; the character of periodic orbits is conserved. For verification of the existence of periodic orbits, we have applied the criterion of Duboshin [2] and found satisfied.
%K Autonomous Four-Body Problem
%K CR4BP
%K Triaxial Rigid Body
%K Regularization
%K Generating and General Solution
%K Periodicity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=77855