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A pursuit problem in three-dimensional gravitational space with an exponential atmosphere. (English. Russian original) Zbl 1083.49507
J. Comput. Syst. Sci. Int. 40, No. 5, 814-828 (2001); translation from Izv. Akad. Nauk, Teor. Sist. Upr. 2001, No. 5, 143-158 (2001).
Summary: A process of pursuit is considered when the pursuer and evader have full information about each other. The control algorithm of the pursuer is fixed. The possibilities for the evader to avoid the encounter are analyzed. The “on-board” evasion algorithms are synthesized, and the efficiency of these algorithms are estimated.

49N75 Pursuit and evasion games
91A24 Positional games (pursuit and evasion, etc.)