Stable Constellations of Frozen Elliptical Inclined Lunar Orbits

FELDMAN, W. C., MAURICE, S., BINDER, A. B., BARRACLOUGH, B. L., ELPHIC, R. C., LAWRENCE, D. J. “Fluxes of Fast and Epithermal Neutrons from Lunar Prospector: Evidence of Water Ice at the Lunar Poles,” Science, Vol. 281, September 4, 1998.

“The Vision for Space Exploration,” National Aeronautics and Space Administration Publication, NP-2004-01-334-HQ, February 2004.

SCHIER, J. S., RUSH, J. R., WILLIAMS, W. D., VROTSOS, P. “Space Communications Architecture Supporting Exploration and Science: Plans and Studies for 2010–2030,” presented as paper No. AIAA 2005–2517 at the 1st Space Exploration Conference: Continuing the Voyage of Discovery, Orlando, Florida, January 30–February 1, 2005.

GIACAGLIA, G. E. O. “Third Body Perturbations on Satellites,” Proceedings of the Artificial Satellite Theory Workshop, U.S. Naval Observatory, November 8–9, 1993.

CUTTING, E., BORN, G. H., and FRAUTNICK, J. C. “Orbit Analysis for SEASAT-A,” The Journal of the Astronautical Sciences, Vol 26, No. 4, October–December 1978.

ELY, T. A. and HOWELL, K. C. “Dynamics of Artificial Satellite Orbits with Tesseral Resonances Including the Effects of Luni-Solar Perturbations,” International Journal of Dynamics and Stability of Systems, Vol. 12, No. 4, December 1997.

KOZAI, Y. “Secular Perturbations of Asteriods with High Inclination and Eccentricity,” Astronomical Journal, Vol. 67, No. 9, 1962.

LIDOV, M. L. “Evolution of Orbits of Artificial Satellites Affected by Third-Body Perturbations,” AIAA Journal, Vol. 1, No. 8, 1963.

LORELL, J. “Long Term Behavior of Artificial Satellite Orbits Due to Third-Body Perturbations,” The Journal of the Astronautical Sciences, Vol. 12, No. 4, Winter 1965.

BROUCKE, R. A. “Long-Term Third-Body Effects via Double Averaging,” Journal of Guidance, Control, and Dynamics, Vol. 26, No. 1, January-Februrary 2003.

PRADO, A. and FERNANDO, A. “Third-Body Perturbations in Orbits Around Natural Satellites.” Journal of Guidance, Control, and Dynamics, Vol. 26, No. 1, January-Februrary 2003.

SEIDELMANN, P. K., et. al. “Report of the IAU/IAG Working Group on Cartographic Coordinates and Rotational Elements of the Planets and Satellites: 2000,” Celestial Mechanics and Dynamical Astronomy, Vol. 82, 2002.

URL to the planetary ephemeris files including the DE405 ephemeris file published by the Jet Propulsion Laboratory: http://ssd.jpl.nasa.gov/eph_info.html.

LIDOV, M. L. and YARSKAYA, M. V. “Integrable Cases in the Problem of the Evolution of a Satellite Orbit Under the Joint Effect of an Outside Body and of the Noncentrality of the Planetary Field,” Cosmic Research, Vol. 12, No. 2, English Version Sept. 1974.

GOLDSTEIN, H. Classical Mechanics, second edition, Addison-Wesley, Reading, MA, 1980.

ELIPE, A. and LARA, M. “Frozen Orbits About the Moon,” Journal of Guidance, Control, and Dynamics, Vol. 26, No. 2, March–April 2003.

ELY, T. A., CROSSLEY, W A., WILLIAMS, E. A. “Satellite Constellation Design for Zonal Coverage Using Genetic Algorithms,” The Journal of the Astronautical Sciences, Vol. 47, Nos. 3 and 4, July–December 1999.