Coordinate Transform Methods Used in Dynamic Simulation of Satellite Separation

Abstract

Direction cosine matrix, Euler angles and quaternions are the common methods for translating vector equations into scalar equations. These methods used in separation simulation lack systematic discussion and comparison. This article is trying to present a proper coordinate transformation method for dynamic analysis of satellite separation. 321 and 123 rotations of Euler angles are proposed to construct the dynamic equations, which is different from simulation of missiles by the rotation of 321 and 231. Both Euler angles and quaternions are adopted to model the separation process of a small satellite that uses the helical compression springs mechanism. Feasibility and practicability of the approach are proved by comparing the simulation results, which are solved in MATLAB and ADAMS software platforms. It is concluded that the method of quaternions is more accurate and efficient in dynamic simulation of satellite separation.

Dynamics and transient perturbation analysis of satellite separation systems

“…12 The superscript 1 stands for the launch vehicle and the number 2 is for the satellite. We consider ', , and as Euler angles between the body and inertial coordinate system.…”