A problem of relative motion of orbiting bodies is investigated on the example of the free motion of any body ejected from the orbital station that stays in a circular orbit around the earth. An elementary approach is illustrated by a simulation computer program and supported by a mathematical treatment based on approximate differential equations of the relative orbital motion.

1.
Roger A.
Freedman
and
Ibrahim
Helmy
, “
Simplified navigation for self-propelled astronauts
,”
Am. J. Phys.
43
(
5
),
438
440
(
1975
).
2.
V. V. Beletskii, Essays on the Motion of Celestial Bodies (Nauka, Moscow, 1977) (in Russian).
3.
Eugene Butikov, Planets and Satellites (American Institute of Physics, New York, 1999). This package of educational computer programs (with a detailed User’s Manual) can be ordered from Physics Academic Software through the web: http://www.aip.org/pas.
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