Abstract
This paper presents different families of transfers from Low Lunar Orbit to Distant Retrograde Orbits in the Earth-Moon system and analyzes their characteristics from the perspective of velocity increment requirement, transfer time, and sensitivity to small perturbations. Initially, families of transfer trajectories in the Circular Restricted Three-Body Problem are found by the predictor-corrector method and numerical continuation. Each transfer uses two impulsive maneuvers. These families are computed for different parking orbit altitudes, constants of motion, and insertion points. Then, to investigate the sensitivity characteristics of each family, a metric based on Local Lyapunov Exponent is introduced and computed along each trajectory. This work provides various choices for future cargo and human-crewed missions in the cislunar space.
Similar content being viewed by others
References
Broucke, R.A.: Periodic Orbits in the Restricted Three Body Problem with Earth-Moon Masses (1968)
Capdevila, L., Howell, K.: Adv. Space Res. 62, 1826–1852 (2018). https://doi.org/10.1016/j.asr.2018.06.045
Capdevila, L., Guzzetti, D., Howell, K.: In: AAS/AIAA Space Flight Mechanics Meeting, vol. 118 (2014)
Colombo, C., Mingotti, G., Bernelli-Zazzara, F., McInnes, C.: In: 65th International Astronautical Congress (IAC 2014), p. 14 (2014)
Conte, D., Di Carlo, M., Ho, K., Spencer, D.B., Vasile, M.: Acta Astronaut. 143, 372 (2018)
Das-Stuart, A., Howell, K.C., Folta, D.: Acta Astronaut. (2019)
Dawn, T.F., Gutkowski, J., Batcha, A., Williams, J., Pedrotty, S.: In: 2018 Space Flight Mechanics Meeting, p. 0968 (2018)
Demeyer, J., Gurfil, P.: J. Guid. Control Dyn. 30(5), 1261 (2007)
Folta, D.C., Webster, C.: Transfer Trajectory Options for Servicing Sun-Earth-Moon Libration Point Missions (2019)
Gutkowski, J.P., Dawn, T.F., Jedrey, R.M.: Evolution of Orion Mission Design for Exploration Mission 1 and 2 (2016)
Harden, G., Haapala, A., Howell, K., Marchand, B.: In: AAS/AIAA Space Flight Mechanics Meeting, January 26-30, 2014 (2014)
Hénon, M.: Astron. Astrophys. 1, 223 (1969)
Hénon, M.: Generating Families in the Restricted Three-Body Problem, vol. 52. Springer, Berlin (1997)
Kechichian, J.A., Campbell, E.T., Werner, M.F., Robinson, E.Y.: Acta Astronaut. 56(5), 495 (2005)
Lei, H., Xu, B.: Commun. Nonlinear Sci. Numer. Simul. 54, 466 (2018)
Mazanek, D.D., Merrill, R.G., Brophy, J.R., Mueller, R.P.: Acta Astronaut. 117, 163 (2015)
Ming, X., Shijie, X.: Acta Astronaut. 65(5–6), 853 (2009)
Minghu, T., Ke, Z.: In: 2013 IEEE International Conference on Signal Processing, Communication and Computing (ICSPCC 2013), p. 1. IEEE, KunMing, China (2013)
Minghu, T., Ke, Z., Meibo, L., Chao, X.: Acta Astronaut. 98, 50 (2014)
Mingotti, G., Topputo, F., Bernelli-Zazzera, F.: Acta Astronaut. 79, 20 (2012)
Murakami, N., Yamanaka, K.: In: 2015 IEEE Aerospace Conference, p. 1. IEEE, Big Sky, MT, USA (2015)
Ocampo, C.: Trajectory Optimization for Distant Earth Satellites and Satellite Constellations (1997)
Ocampo, C.A., Rosborough, G.W.: NASA STI/Recon Technical Report A 95 p. 1177 (1993)
Ocampo, C.A., Rosborough, G.W.: J. Guid. Control Dyn. 22(5), 650 (1999)
Parrish, N.L., Parker, J.S., Hughes, S.P., Heiligers, J.: Low-Thrust Transfers from Distant Retrograde Orbits to L2 Halo Orbits in the Earth-Moon System (2016)
Pritchett, R.E., Zimovan, E., Howell, K.: In: 2018 Space Flight Mechanics Meeting, p. 1690 (2018)
Scott, C.J., Spencer, D.B.: J. Guid. Control Dyn. 33(5), 1592 (2010). https://doi.org/10.2514/1.47791
Shadden, S.C., Lekien, F., Marsden, J.E.: Phys. D: Nonlinear Phenom. 212(3–4), 271 (2005)
Short, C.R.: Lagrangian Coherent Structures in the Circular Restricted Three-Body Problem. Master’s thesis, Purdue University (2010)
Spreen, C.M.: Automated Patch Point Placement Capability for Hybrid Trajectory Targeting. PhD thesis, Perdue University, West Lafayette, Indiana (Dec 2017)
Stramacchia, M., Colombo, C., Bernelli-Zazzera, F.: Adv. Space Res. 58(6), 967 (2016)
Wang, Y., Zhang, Y., Qiao, D., Mao, Q., Jiang, J.: Acta Astronaut. 133, 177 (2017)
Whitley, R.J., Davis, D.C., Burke, L.M., McCarthy, B.P., Power, R.J., McGuire, M.J., Howell, K.C.: In: AAS/AIAA Astrodynamics Specialists Conference. Snowbird, Utah (2018)
Zimovan, E.M.: Characteristics and Design Strategies for Near Rectilinear Halo Orbits within the Earth-Moon System. Master’s thesis, Purdue University (2017)
Funding
This research is supported by the Beijing Municipal Science and Technology Commission (Z181100002918004), Civil Aerospace pre research project (D020302, D020304), National Natural Science Foundation of China (11672293), the Fund Projects of Space Science Priority Research Program (XDA1502030502). The corresponding author is supported by Youth Innovation Promotion Association CAS and CAS Interdisciplinary Innovation Team (JCTD-2018-11).
Author information
Authors and Affiliations
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ren, J., Li, M. & Zheng, J. Families of transfers from the Moon to Distant Retrograde Orbits in cislunar space. Astrophys Space Sci 365, 192 (2020). https://doi.org/10.1007/s10509-020-03901-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-020-03901-7