Review of integral correction methods for orbit calculation

To address the high-efficiency orbit calculation problem of spacecraft, this paper reviews research on integral correction methods. First, a variety of integral correction methods based on different principles are systematically introduced within a unified notation framework, and a classification comparison is conducted. Then, focusing on the advantages of these methods in large-step and parallel computation, the research progress in parameter optimization and parallel acceleration is summarized. Subsequently, the unique superiority of integral correction methods is elaborated by typical applications such as spacecraft orbit design, high-precision orbit propagation, and spacecraft guidance. Finally, combining the methods’ characteristics and the orbit calculation requirements, the development trends and directions worth studying are analyzed and proposed.