Rapid reconfiguration of gravitational detection spacecraft using high-accuracy successive convex programming

Abstract

This article aims to address the challenge of achieving fast and high-accuracy reconfiguration of the TianQin constellation, with a focus on developing trajectory optimization algorithms to enhance both computation speed and accuracy in the reconfiguration process within TianQin Gravity Wave (GW) detection constellations. Initially, through perturbation analysis on the TianQin constellation, we formulated a dynamic model based on a virtual formation strategy, incorporating factors such as solar radiation pressure (SRP) and differences in third-body perturbation (DTBP). Subsequently, to meet the dual requirements of rapidly trajectory generation and optimal control accuracy, we proposed a new time-optimal high-accuracy successive convex programming (HASCP) algorithm and theoretically proved its convergence and optimality. Finally, we present simulations focusing on the TianQin gravitational detection spacecraft to validate the efficacy of the algorithm.