Trajectory Optimization of a Launch Vehicle with Explicit Instantaneous Impact Point Constraints for Various Range Safety Requirements
Publication: Journal of Aerospace Engineering
Volume 29, Issue 3
Abstract
This paper proposes a new trajectory optimization approach that can directly handle the range safety for launch operations. An analytic solution for an instantaneous impact point (IIP) of a vehicle is introduced and used to describe the constraints of the optimization problem in an explicit way. A quadratic formula that can address various types of range safety requirements is proposed. Based on the aforementioned elements, the launch trajectory optimization problem with explicit IIP constraints is mathematically defined. The validity of the proposed trajectory optimization is demonstrated through two case studies using realistic launch vehicle data and range safety issues.
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Acknowledgments
This work was prepared at the Korea Advanced Institute of Science and Technology (KAIST), Department of Aerospace Engineering, under a research grant from the National Research Foundation of Korea (NRF-2013M1A3A3A02042461). The authors thank the National Research Foundation of Korea for the support of this work.
References
Ahn, J., and Roh, W. (2012). “Noniterative instantaneous impact point prediction algorithm for launch operations.” J. Guidance Control Dyn., 35(2), 645–648.
Ahn, J., and Seo, J. (2013). “Instantaneous impact point prediction using the response-surface method.” J. Guidance Control Dyn., 36(4), 958–966.
IMSL C/C++ Numerical Library version 8.0 [Computer software]. Rogue Wave Software, Louisville, CO.
Isakowitz, S., Hopkins, J., Hopkins, J., Jr. (2004). International reference guide to space launch systems, AIAA, Washington, DC, 329–346.
Markgraf, M., Montenbruck, O., Turner, P., and Viertotak, M. (2003). “Instantaneous impact point prediction for sounding rockets—Perspectives and limitations.” 16th Symp. on European Rocket and Balloon Programmes and Related Research, European Space Agency, Paris, France.
Montenbruck, O., Markgraf, M., Jung, W., Bull, B., and Engler, W. (2002). “GPS based prediction of the instantaneous impact point for sounding rockets.” Aerosp. Sci. Technol., 6(4), 283–294.
Rao, S. (2009). Engineering optimization: Theory and practice, 4th Ed., Wiley, Hoboken, NJ, 422–425.
Roh, W. (2001). “A study on the trajectory optimization and inertial guidance algorithm design for satellite launch vehicle.” Ph.D. thesis, Seoul National Univ., Seoul, Korea.
Roh, W., et al. (2012). “Mission and system design status of Korea Space Launch Vehicle II succeeding Naro launch vehicle,” 2012 KSAS Fall Conf., Korean Society of Aeronautical and Space Sciences, Seoul, Korea.
Teren, F., and Spurlock, O. (1969). “Optimal three dimensional launch vehicle trajectories with attitude and attitude rate constraints.”, National Aeronautics and Space Administration, Washington, DC.
Tisato, J., Vuletich, I., Brett, M., Williams, W., and Wilson, S. (2011). “Improved range safety analysis for space vehicles using range safety template toolkit.” 5th Int. Association for the Advancement of Space Safety Conf., International Association for the Advancement of Space Safety, Noordwijk, Netherlands.
Well, K., and Tandon, S. (1982). “Rocket ascent trajectory optimization via recursive quadratic programming.” J. Astronaut. Sci., 30, 101–116.
Wheelon, A. (1959). “Free flight of a ballistic missile.” ARS J., 29(12), 915–926.
Yoon, N., and Ahn, J. (2014). “Trajectory optimization of launch vehicle considering instantaneous impact point.” 65th Int. Astronautical Congress, International Astronautical Federation, Paris, France.
Zarchan, P. (2002). Tactical and strategic missile guidance, American Institute of Aeronautics and Astronautics, Washington, DC, 221–245.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 29 • Issue 3 • May 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: May 4, 2015
Accepted: Aug 25, 2015
Published online: Oct 12, 2015
Discussion open until: Mar 12, 2016
Published in print: May 1, 2016
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