Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Synergetic Control of a Material Point in a Gravitational Field

Author(s):

Alexander Vasilyevich Bratishchev

Professor, doctor fiz.-mat. nauk
Professor of Applied Mathematics Department,
Don State Technical University

avbratishchev@spark-mail.ru

Alexey Vitalyevich Zhivolup

Master's student of Applied Mathematics Department,
Don State Technical University

auditore1911@bk.ru

Abstract:

The problem of controlling the interorbital maneuvers of a point in a gravitational field is considered. Using the first integrals of the system, a fairly simple synergetic regulator was designed. With its help, the problem of choosing the optimal point of departure from the initial orbit is investigated. At the same time, the maximum value of the thrust generated by the control is selected as a criterion. The problem of transition from the initial to the final orbit in the case of orbits touching is considered. The question of choosing a parameter defining the control vector is investigated.

Keywords

• elliptical orbit
• gravitational field
• interorbital maneuver
• synergetic control

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