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

Synergetic Control of Interorbital Flight

Author(s):

Alexander Vasilyevich Bratishchev

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

avbratishchev@spark-mail.ru

Abstract:

The problem of controlling interorbital flight in the spatial case using the first integrals is considered. Three types of synergistic regulators are proposed. It is shown that the thrust decreases exponentially over time. The executable models of the regulators are designed. The influence of the parameter of the aggregated variable on the geometric shape of the transition orbit is numerically considered. The effect of the choice of an aggregated variable on the amount of work and the amount of thrust. The effect of the angle between the initial and final orbits on the work of transition from orbit to orbit.

Keywords

• aggregated variable
• gravitational field
• interorbital maneuver
• synergetic control
• thrust
• work

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