E. Lansard et al., GLOBAL DESIGN OF SATELLITE CONSTELLATIONS - A MULTICRITERIA PERFORMANCE COMPARISON OF CLASSICAL WALKER PATTERNS AND NEW DESIGN PATTERNS, Acta astronautica, 42(9), 1998, pp. 555-564
Basically, the problem of designing a multisatellite constellation exh
ibits a lot of parameters with many possible combinations: total numbe
r of satellites, orbital parameters of each individual satellite, numb
er of orbital planes, number of satellites in each plane, spacings bet
ween satellites of each plane, spacings between orbital planes, relati
ve phasings between consecutive orbital planes. Hopefully, some author
s have theoretically solved this complex problem under simplified assu
mptions: the permanent (or continuous) coverage by a single and multip
le satellites of the whole Earth and zonal areas has been entirely sol
ved from a pure geometrical point of view. These solutions exhibit str
ong symmetry properties (e.g. Walker, Ballard, Rider, Draim constellat
ions): altitude and inclination are identical, orbital planes and sate
llites are regularly spaced, etc. The problem with such constellations
is their oversimplified and restricted geometrical assumption. In fac
t, the evaluation function which is used implicitly only takes into ac
count the point-to-point visibility between users and satellites and d
oes not deal with very important constraints and considerations that b
ecome mandatory when designing a real satellite system (e.g. robustnes
s to satellite failures, total system cost, common view between satell
ites and ground stations, service availability and satellite reliabili
ty, launch and early operations phase, production constraints, etc.).
An original and global methodology relying on a powerful optimization
tool based on genetic algorithms has been developed at ALCATEL ESPACE.
In this approach, symmetrical constellations can be used as initial c
onditions of the optimization process together with specific evaluatio
n functions. A multi-criteria performance analysis is conducted and pr
esented here in a parametric way in order to identify and evaluate the
main sensitive parameters. Quantitative results are given for three e
xamples in the fields of navigation, telecommunication and multimedia
satellite systems. In particular, a new design pattern with very effic
ient properties in terms of robustness to satellite failures is presen
ted and compared with classical Walker patterns. (C) 1998 Elsevier Sci
ence Ltd. All rights reserved.