Three-dimensional Two-Body Tether System — Equilibrium Solutions

17th Brazilian Colloquium on Orbital Dynamics

Souza Dos Santos, Denilson Paulo^1,2 ; Ferreira, Alessandra^1,2

Centre for Mechanical and Aerospace Science and Technologies (C-MAST), UBI, Portugal^1

Division of Space Mechanics and Control, INPE (National Institute for Space Research), São José dos Campos, SP, Brazil^2

关键词: Center of mass;    Control laws;    Main bodies;    Periodic solution;    Plane motions;    Spacecraft system;    Tether system;    Three-body problem;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/641/1/012009/pdf
DOI  :  10.1088/1742-6596/641/1/012009

来源: IOP

【 摘 要 】

The tethered spacecraft system was studied. This is a three-body problem formed by the main body with larger mass, m1and m2are the smaller bodies and they are connected by a cable. The main body is orbited by the center of mass m1and m2. The cable was assumed rigid and massless. The study goal is analyze the existing equilibrium to tether in two situations: using a control law for the cable size and constant cable size. Assuming a control law, the solutions were fixed values independent of eccentricity (e) and true anomaly (v) of the system. For the constant case there are periodic solutions, continuous and discontinuous for different values of e and v. The results obtained are angles functions which describe the m1and m2plane and out plane motion.