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<p class="noindent">The NASA benchmark tetrahedron constellation is a proposed satellite formation that requires a nominal separation distance at every apogee point. To maintain these separation distance constraints between any pair of satellites within the constellation, an open-loop scheme was developed based on the orbital elements. For a particular size of the NASA benchmark tetrahedron problem, the constellation maintains the separation distance conditions without perturbations. On the other hand, with perturbations, the constellation maintains the separation distance criteria for a limited number of orbits. </p>

journal of mechanics of materials and structures

Active control schemes based on the linearized Tschauner–Hempel equations to maintain the separation distance constraints for the NASA benchmark Tetrahedron Constellation