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New Trends in Astrodynamics and Applications: Optimal Trajectories for Space Guidance
Author(s) -
AZIMOV DILMURAT,
BISHOP ROBERT
Publication year - 2005
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1196/annals.1370.002
Subject(s) - thrust , trajectory , propulsion , spacecraft , trajectory optimization , orbital maneuver , control theory (sociology) , orbit (dynamics) , spiral (railway) , computer science , aerospace engineering , mathematical optimization , optimal control , mathematics , engineering , physics , control (management) , mathematical analysis , artificial intelligence , astronomy
A bstract : This paper represents recent results on the development of optimal analytic solutions to the variation problem of trajectory optimization and their application in the construction of on‐board guidance laws. The importance of employing the analytically integrated trajectories in a mission design is discussed. It is assumed that the spacecraft is equipped with a power‐limited propulsion and moving in a central Newtonian field. Satisfaction of the necessary and sufficient conditions for optimality of trajectories is analyzed. All possible thrust arcs and corresponding classes of the analytical solutions are classified based on the propulsion system parameters and performance index of the problem. The solutions are presented in a form convenient for applications in escape, capture, and interorbital transfer problems. Optimal guidance and neighboring optimal guidance problems are considered. It is shown that the analytic solutions can be used as reference trajectories in constructing the guidance algorithms for the maneuver problems mentioned above. An illustrative example of a spiral trajectory that terminates on a given elliptical parking orbit is discussed.