Review of path planning in prospective multi-target active debris removal missions in low earth orbits

Trends in space technology development and rapidly increasing traffic in outer space are likely to lead to the emergence of a market for services for the removal of large debris objects to disposal orbits. The commercial benefits of Active Debris Removal missions are possible when multiple objects are removed by a single spacecraft-collector that flies between targets in an optimal sequence, trying to achieve a rational ratio between mission duration and fuel costs. Given the size of the large debris population, selecting candidates for removal and optimizing such a mission is a non-trivial task. In this paper, a review of solutions, which are proposed in 65 publications between 2010 and 2023 for the problem of path planning between space debris objects in low orbits, is performed. These solutions could be categorized into three main types. The search for transfer chains in the first type of approaches is based solely on combinatorics, supplemented by various heuristics as required. In the second case, combinatorial-heuristic algorithms fully or partially utilize the secular effects of the Earth's polar compression. Solutions of the third type are based only on the use of precession of the Right Ascension of the Ascending Node of the orbit. For each analyzed work, the following information is given: objects of study, maneuvering scheme for a flight between two successive objects, method of choosing the transfer sequence, and main results. At the end of this paper, a subjective general evaluation of the analyzed works is proposed. In order to deepen the reader's understanding of the problem of large space debris removal, this review also provides background information from related fields. The reasons for the growth of observable fragments in near-Earth space and the need to remove large objects to disposal orbits are shown. The history of experiments aimed at the development of ADR technology is given. The article contains a large number of explanatory illustrations.