Алгоритм нахождения траектории перелета между двумя эллиптическими орбитами

Алгоритм нахождения траектории перелета между двумя эллиптическими орбитами

Инженерный журнал: наука и инновации

# 6·2017 11

Algorithm for identifying the transfer trajectory

between two elliptic orbits

Vyatka State University, Kirov, 610000, Russia

This article for the first time ever presents an algorithm for the transfer elliptic orbit be-

tween two elliptic orbits. We have solved the following problems: constructing the ellipse

in two radius-vectors emerging from the same focal point, calculating acceleration and

deceleration velocities impulses, computing the deceleration needed for the orbit plane

change. This study is of great importance because the other well-known publications ei-

ther do not consider such problems or do not suggest particular computation algorithms.

We have calculated the transfer orbit length by the numerical quadrature method. The

motion along the elliptic orbit is viewed as the superposition of the circular and radial

motions. It is shown that with the increase of the transfer ellipse semi-major axis length

its eccentricity also increases. It results in the increase of the spacecraft radial velocity in

the transfer orbit whereupon the acceleration and deceleration velocities also increase.

Keywords:

transfer orbit, elliptic orbit, flight trajectory to Mars, numerical quadrature

method

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