Lunar Halo Orbits
Conclusion
What is Next?

Humans have not been to the moon since the 1970s. However, the moon still has much to offer from scientific discover to valuable natural resources. Before we can go back to the moon we must create an infrastructure that allows us to easily and safely conduct expeditions on and around the moon's surface. The most vital system to be constructed is a communications system that provides 100% coverage of the moon's surface with a direct connection back to Earth. Halo orbits, a phenomena unique to 3-body systems, provide an affordable and configurable solution that meets these requirements. Finally, the Single Shooting Method reveals that it is possible to inject a satellite into one of these unstable orbits. Exploiting unique astrodynamical trajectories like halo orbits represent a powerful method for pushing the envelope of space in an affordable and sustainable manner.


Literature Search

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[2] Crawford, I., Anand, M., Cockell, C., Falcke H., Green, A., Jaumann, R., Wieczorek, M., Back to the Moon: The Scientific Rationale for Resuming Lunar Surface Exploration, Planetary and Space Science, June 2012.

[3] Davis, K., Locally Optimal Transfer Trajectories Between Libration Point Orbits Using Invariant Manifolds, University of Colorado (Doctoral Thesis), 2009.

[4] Farquhar, R., A Halo-Orbit Lunar Station, Astronautics & Aeronautics, June 1972.

[5] Hamera, K., Mosher T., Evolvable Lunar Navigation and Communication Constellations, AAS (Poster)

[6] Howell, K., Three-Dimensional Periodic "Halo" Orbits, Celes. Mech., Vol 32, 1984.

[7] Ouellette, J., Is it Time to Go Back to the Moon?, Discovery News, June 2012.

[8] Parker, J., Families of Low-Energy Lunar Halo Transfers, AAS, 2006.

[9] Parker, J., Low-Energy Ballistic Lunar Transfers, University of Colorado (Doctoral Thesis), 2007.

[10] Richardson, D., Cary, N., A Uniformly Valid Solution for Motion of the Interior Libration Point for the Perturbed Elliptic-Restricted Problem, AIAA/AAS Astrodynamics Specialist Conference, July 1975.

[11] Szebehely, V., Theory of Orbits: The Restricted Problem of Three Bodies, New York: Academic Press, 1967.

[12] Tapley, B., Schutz B., Born, G., Statistical Orbit Determination, Elsevier Inc, 2004.

[13] Vallado, D., Fundamentals of Astrodynamics and Applications, McGraw-Hill Companies, Inc., 2007.











MATLAB Source Code

finalproject.m
singleshot.m
crtbp_statetransition.m
crtbp_derivatives.m
crtbp.m