New trends in astrodynamics and applications: optimal trajectories for space guidance.

Abstract:

: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.

journal_name

Ann N Y Acad Sci

authors

Azimov D,Bishop R

doi

10.1196/annals.1370.002

subject

Has Abstract

pub_date

2005-12-01 00:00:00

pages

189-209

eissn

0077-8923

issn

1749-6632

pii

1065/1/189

journal_volume

1065

pub_type

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