2006/02/27 by B. S. Kushvah, Badam Singh Kushvah, J.P. Sharma +5
Engineering · Mathematics · #70F15 #Aerospace Engineering and Control Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Space Satellite Systems and Control #Spacecraft Dynamics and Control #math.DS #msc:70F15
paper · pdf · doi:10.48550/arxiv.math/0602601
Preprint Rreview Bull. Cal. Math. Soc. (1 & 2), 2006
arxiv created 2006/02/27 · openalex publication_date 2006/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we have studied non-linear stability of triangular equilibrium points. We have performed first order normalization in the generalized photogravitational restricted three body problem with Poynting-Robertson drag. In this problem we have taken bigger primary as source of radiation and smaller primary is an oblate spheroid. At first we have expanded the Lagrangian function in power series of x and y, where (x, y) are the coordinates of the triangular equilibrium points. Then the relation between the roots of the characteristic equation for the linearised system is obtained. Key Words:First order normalization / Generalised Photogravitational/ RTBP.