Combined Optimal Low-Thrust and Stable-Manifold Trajectories to the Earth-Moon Halo Orbits

Details Combined Optimal Low-Thrust and Stable-Manifold Trajectories to the Earth-Moon Halo Orbits Combined Optimal Low-Thrust and Stable-Manifold Trajectories to the Earth-Moon Halo Orbits

Feb 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..886..100m&link_type=abstract

NEW TRENDS IN ASTRODYNAMICS AND APPLICATIONS III. AIP Conference Proceedings, Volume 886, pp. 100-112 (2007).

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Spaceborne And Space Research Instruments, Apparatus, And Components, Lunar, Planetary, And Deep-Space Probes, Celestial Mechanics, Satellite Orbits

Scientific paper

In this paper we incorporate the low-thrust propulsion in the stable manifold technique to design transfer trajectories to the halo orbits around L1 and L2 of the Earth-Moon system. The problem is stated in an optimal control scheme and solved using direct transcription and collocation; the dynamics is discretized over an uniform time grid using a sixth-order linear multi-point method. The resulting transfers are made up by a spiral arc that targets a piece of the stable manifold associated to the final orbit. Thanks to the generality of this approach, halo-to-Moon transfers are also computed combining unstable manifolds and low-thrust. Furthermore, complete Earth-to-Moon transfers via halos can also be constructed. Results show the feasibility of this kind of transfers requiring moderate propellant mass fractions and feasible times of flight.

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