Open AccessOptimal control of spacecraft motion in the vicinity of Eros 433 asteroid
Author(s) -
Andrey Shornikov
Publication year - 2019
Publication title -
vestnik samarskogo universiteta. aèrokosmičeskaâ tehnika, tehnologii i mašinostroenie
Language(s) - English
Resource type - Journals
eISSN - 2541-7533
pISSN - 2542-0453
DOI - 10.18287/2541-7533-2019-18-4-146-156
Subject(s) - spacecraft , gravitational field , thrust , asteroid , physics , aerospace engineering , optimal control , motion (physics) , gravitation , classical mechanics , computer science , astronomy , mathematics , engineering , mathematical optimization
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 object’s 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.