VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University762210.18287/2541-7533-2019-18-4-146-156UnknownOptimal control of spacecraft motion in the vicinity of Eros 433 asteroidShornikovA. Yu.<p><span lang="EN-US">Postgraduate Student, </span><span lang="EN-US">Department of Space Engineering</span></p>andreishornikov@gmail.comSamara National Research University211220191841461562101202021012020Copyright © 2020, VESTNIK of Samara University. Aerospace and Mechanical Engineering2020<p>The article describes an algorithm for optimizing controlled motion of a spacecraft equipped with low-thrust electric propulsion engines maneuvering in the vicinity of an object with an irregular gravitational field (asteroid Eros 433). A mathematical model of the objects gravitational potential and a model of spacecraft motion are presented. The Pontryagin maximum principle is used to get the time-optimal control program. The formulated boundary value problem is solved numerically by the modified Newton method. The described algorithm can be used to solve similar problems of low-thrust flight dynamics in the vicinity of objects with irregular gravitational fields.</p>Астероидгравитационное поле сложной конфигурациикосмический аппаратмалая тягапрограмма оптимального управленияпринцип максимумакраевая задачаAsteroidirregular gravitational fieldspacecraftlow thrustoptimal control programmaximum principleboundary value problem[1. Britt D.T., Yeomans D., Housen K., Consolmagno G. Asteroid density, porosity, and structure. Asteroids III. 1987. P. 485-500.][2. Zuber M.T., Smith D.E., Cheng A.F., Garvin J.B., Aharonson O., Cole T.D., Dunn P.J., Guo Y., Lemoine F.G., Neumann G.A., Rowlands D.D., Torrence M.H. The shape of 433 Eros from the NEAR-Shoemaker laser rangefinder. Science. 2000. V. 289, Is. 5487. P. 2097-2101. 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