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This paper presents comprehensive information about spacecraft (SC) maneuvers in the vicinity of a circular orbit. The implementation of SC maneuvers in the vicinity of circular orbits makes it possible to solve many research and applied problems. Typical examples are the problems of rendezvous and docking of SC moving in near-circular orbits, the implementation of a group flight of several SC in a given configuration, the deployment and maintenance of low-orbit systems to solve the problems of providing communications and remote sensing of the Earth. Practical examples of SC maneuvers are given.