The NASA Benchmark Tetrahedron Constellation is a four-satellite formation that
requires a nominal separation distance at every apogee point. The deployment
procedure of a tetrahedron constellation is complex and depends on the separation
distance between any pair of satellites within the constellation. In this paper, the
deployment procedure of the tetrahedron constellation will be divided into
two stages: the deployment from a circular parking orbit to an elliptical
orbit, and the correction of the separation distance between pairs of satellites
within the constellation. The solution of this problem will be implemented
with a combination of Hohmann transfer maneuvers and the digital linear
quadratic regulator control scheme showing a minimum consumption of fuel. In
summary, the combination of these two techniques will provide a different
approach to the deployment procedure of the NASA benchmark tetrahedron
constellation.
Keywords
discrete linear quadratic regulator, impulse maneuvers,
deployment procedure, tetrahedron constellation