Halo orbit of regularized circular restricted three-body problem with radiation pressure and oblateness

Journal of Astrophysics and Astronomy

PADMDEO MISHRA^1¹  VINEET K. SRIVASTAVA^1²  JAI KUMAR^2³ 

[1] Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad 826 004, India^3;Flight Dynamics Group, ISRO Telemetry Tracking and Command Network, Bangalore 560 058, India.^1;Signal and Image Processing Group, Space Applications Centre, Ahmedabad 380 015, India.^2

关键词: Photogravitational CRTBP;    oblateness;    regularization;    halo orbits;    stability.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, computation of the halo orbit for the KS-regularized photogravitational circular restricted three-body problem is carried out. This work extends the idea of Srivastava et al. (Astrophys. Space Sci. 362: 49, 2017) which only concentrated on the (i) regularization of the 3D-governing equations of motion, and (ii) validation of the modeling for small out-of-plane amplitude ($A_z = 110000$ km) assuming the third order analytical approximation as an initial guess with and without differential correction. This motivated us to compute the halo orbits for the large out-of-plane amplitudes and to study their stability analysis for the regularized motion. The stability indices are described as a function of out-of-plane amplitude, mass reduction factor and oblateness coefficient. Three different Sun–planet systems: the Sun–Earth, Sun–Mars and the Sun–Jupiter are chosen in this study. Stable halo orbits do not exist around the $L_1$ point, however, around the $L_2$ point stable halo orbits are found for the considered systems.

【 授权许可】

CC BY