Abstract
The problem of trajectory design requires the determination of spacecraft position and velocity as a function of time that satisfy design constraints. The constraints that must be satisfied are supplied to the trajectory designer as parameters that are generally functions of the Cartesian state. Thus, the main interest in developing solutions of the equations of motion for navigation is to enable computation of parameters that satisfy mission constraints and state vectors that may be used to initialize numerical integration for further refinement of the trajectory design. Analytic solutions of the equations of motion are of intrinsic interest because of their mathematical elegance. However, when applied to trajectory design, solutions are sought that enable the full Cartesian state to be determined with high precision and these solutions are numerical.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Bibliography
Battin, R. H., “An Introduction to the Mathematics and Methods of Astrodynamics”, American Institute of Aeronautics and Astronautics, Inc., Reston, VA, 1999.
Belbruno, E. A., J. K. Miller, “Sun-Perturbed Earth-to-Moon Transfers with Ballistic Capture”, Vol 16, No. 4, Journal of Guidance, Control and Dynamics, July-August 1993.
Egorov, V. A., “Certain Problems of Moon Flight Dynamics,” in The Russian Literature of Satellites, Part 1, International Physical Index, Inc., New York, 1958.
Ehricke, K. A., “Space Flight”, D. Van Nostrand, Princeton, NJ, 1960.
Fesenkov, V. G., Journal of Astronomy, 23, No. 1, 1946.
Hintz, G. R., “Orbital Mechanics and Astrodynamics”, Springer International Publishing, Switzerland, 2015
Miller, J. K., C. J. Weeks, and L. J. Wood, Orbit Determination Strategy and Accuracy for a Comet Rendezvous Mission. Journal of Guidance, Control and Dynamics 13, 775–784., 1990
Miller, J. K., E. A. Belbruno, “A Method for the Construction of a Lunar Transfer Trajectory Using Ballistic Capture”, AAS 91–100, AAS/AIAA Spaceflight Mechanics Meeting, Houston, TX, February 11, 1991.
Miller, J. K., E. Carranza, C. E. Helfrich, W. M. Owen, B. G. Williams, D. W. Dunham, R. W. Farguhar, Y. Guo and J. V. McAdams, “Near Earth Asteroid Rendezvous Orbit Phase Trajectory Design”, AIAA 98–4286, AAS/AIAA Astrodynamics Specialist Conference, Boston, MA, August 10, 1998.
Miller, J. K. and C. J. Weeks, “Application of Tisserand’s Criterion to the Design of Gravity Assist Trajectories”, AIAA 2002–4717, AAS/AIAA Astrodynamics Specialist Conference, Monterey, CA, August 5, 2002.
Miller, J. K., “Lunar Transfer Trajectory Design and the Four Body Problem”, AAS 03–144, 13th AAS/AIAA Space Flight Mechanics Meeting, Ponce, Puerto Rico, February 9, 2003.
Miller, J. K. and G. R. Hintz, “Weak Stability Boundary and Trajectory Design”, AAS paper 15–297, AAS/AIAA Astrodynamics Specialist Conference, Vail, CO, August 9, 2015.
Roy, A, E., Orbital Motion, Adam Hilgar Ltd., Bristol, UK., 1982
Strange, N. J. and J. A. Sims, “Methods for the Design of V-Infinity Leveraging Maneuvers”, AAS paper 01–437., 2001.
Strange, N. J. and J. M. Longuski, “Graphical Methods for Gravity-Assist Trajectory Design”, Journal of Spacecraft and Rockets, Vol. 39, No. 1, January-February 2002.
Yamakawa, H., Kawaguchi, J. and Nakajima, T., “LUNAR-A Trajectory description, ” ISTS 94-c-30, 19th International Symposium on Space Technology and Science, Yokohama, Japan, May 15–24, 1994.
Yamakawa, H., Kawaguchi, J., Ishii, N. and Matsuo, H., “A Numerical Study of Gravitational Capture Orbit in the Earth-Moon System,” AAS 92–186, 1992.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Miller, J. (2019). Trajectory Design. In: Planetary Spacecraft Navigation. Space Technology Library, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-319-78916-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-78916-3_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-78915-6
Online ISBN: 978-3-319-78916-3
eBook Packages: EngineeringEngineering (R0)