Abstract A computational procedure is presented for approximating elliptic halo orbits about the collinear equilibrium points based on the variation of constants in the sense of the second-order approximation. Simulation results show that the approximate solutions agree well with the results of two-point boundary-value problems. The existence conditions of the elliptic halo orbits are also determined with respect to the mass ratio of the primaries and the eccentricity.
Highlights A computational procedure is presented for approximating the elliptic halo orbits. A trajectory design is based on the variation of constants. The existence conditions of the elliptic halo orbits are specially derived. Simulations show the good agreement between the analytical and numerical solutions.
Approximating elliptic halo orbits based on the variation of constants
Acta Astronautica ; 113 ; 169-179
2015-04-11
11 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Approximating elliptic halo orbits based on the variation of constants
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