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General Theory of Optimal Rocket Trajectories

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Optimal Control with Aerospace Applications

Part of the book series: Space Technology Library ((SPTL,volume 32))

Abstract

In this chapter we develop a general theory of optimal spacecraft trajectories based on two pioneering works: Breakwell [1959] and Lawden [1963]. Lawden introduced the concept of the primer vector, which plays a dominant role in minimum-propellant trajectories and also in other types of optimal trajectories. A more complete discussion of the topics in this chapter, including several example trajectories, is in Prussing [2010].

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References

  • J.V. Breakwell, The optimization of trajectories. J. Soc. Ind. Appl. Math. 7(2), 215–247 (1959)

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  • J.E. Prussing, Chapter 2: primer vector theory and applications, in Spacecraft Trajectory Optimization, ed. by B.A. Conway (Cambridge University Press, New York, 2010)

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  • J.E. Prussing, B.A. Conway, Orbital Mechanics, 2nd edn. (Oxford University Press, New York, 2013)

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  • J.E. Prussing, S.L. Sandrik, Second-order necessary conditions and sufficient conditions applied to continuous-thrust trajectories. J. Guid. Control Dyn. (Engineering Note) 28(4), 812–816 (2005)

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Longuski, J.M., Guzmán, J.J., Prussing, J.E. (2014). General Theory of Optimal Rocket Trajectories. In: Optimal Control with Aerospace Applications. Space Technology Library, vol 32. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8945-0_10

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  • DOI: https://doi.org/10.1007/978-1-4614-8945-0_10

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-8944-3

  • Online ISBN: 978-1-4614-8945-0

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