No 3 (2020) Technical mechanics
Technical mechanics, 2020, 3, 30 - 38
ON THE CHOICE OF A PARKING ORBIT FOR A SERVICE SPACECRAFT
Holdshtein Yu. M.
Holdshtein Yu. M.
At present, the requirements for increasing spacecraft active life and operational reliability and reducing
spacecraft operation costs become more and more stringent. Because of this, on-orbit servicing becomes
more and more attractive. One of the most promising ways to increase the efficiency of transport operations
in space is to carry out on-orbit servicing using reusable spacecraft with low-thrust solar electrojet
engines. The aim of this paper is to develop a mathematical model for the choice of an optimal low
near-Earth parking orbit for a reusable service spacecraft. The case of noncoplanar near-circular orbits
of spacecraft and a shuttle scenario of their servicing is considered. The solution of the problem of
choosing an optimal parking orbit for a reusable service spacecraft involves repeated solutions of the
problem of determining the delta-velocity of the service spacecraft’s orbital transfers between its
parking orbit and the orbits of the serviced spacecraft. In this connection, using the averaging method,
a mathematical model is developed for the analytical determination of orbital transfer program controls
and trajectories and assessing orbital transfer energy expenditures. With its use, a mathematical model
is developed for the choice of a service spacecraft’s optimal parking orbit. The objective function is
the total delta-velocity of the service spacecraft’s orbital transfers from its parking orbit to the
orbits of the serviced spacecraft and vice versa with the inclusion of the orbital transfer frequency.
The optimizable parameters are the service spacecraft parking orbit parameters. The use of the proposed
models is illustrated by an example of service spacecraft parking orbit optimization. What is new is
the mathematical models developed. The results obtained may be used in the preliminary planning
of on-orbit servicing operations.
reusable spacecraft, optimization, parking orbit, on-orbit servicing, low thrust, averaging method
1. Ivanov V. M. Conceptual foundations of orbital servicing for advanced automatic space vehicles. Spacecraft and Rockets. Vestnik Moskovskogo Aviatsionnogo Instituta. 2008. V. 15. No. 3. Pp. 5-7. (in Russian).
Copyright (©) 2020 Holdshtein Yu. M.
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