Optimal Starting Conditions for the Rendezvous Maneuver, Part 2: Mathematical Programming Approach View Full Text


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Article Info

DATE

2008-02-13

AUTHORS

A. Miele, M. Ciarcià

ABSTRACT

In a companion paper (Part 1, J. Optim. Theory Appl. 137(3), [2008]), we determined the optimal starting conditions for the rendezvous maneuver using an optimal control approach. In this paper, we study the same problem with a mathematical programming approach.Specifically, we consider the relative motion between a target spacecraft in a circular orbit and a chaser spacecraft moving in its proximity as described by the Clohessy-Wiltshire equations. We consider the class of multiple-subarc trajectories characterized by constant thrust controls in each subarc. Under these conditions, the Clohessy-Wiltshire equations can be integrated in closed form and in turn this leads to optimization processes of the mathematical programming type.Within the above framework, we study the rendezvous problem under the assumption that the initial separation coordinates and initial separation velocities are free except for the requirement that the initial chaser-to-target distance is given. In particular, we consider the rendezvous between the Space Shuttle (chaser) and the International Space Station (target). Once a given initial distance SS-to-ISS is preselected, the present work supplies not only the best initial conditions for the rendezvous trajectory, but simultaneously the corresponding final conditions for the ascent trajectory. More... »

PAGES

625-639

References to SciGraph publications

  • 1995-09. Linearized impulsive rendezvous problem in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2008-01-03. Optimal Starting Conditions for the Rendezvous Maneuver, Part 1: Optimal Control Approach in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1995-12. Optimal power-limited rendezvous of a spacecraft with bounded thrust and general linear equations of motion in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2007-03. Guidance Trajectories for Spacecraft Rendezvous in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1969-10. Sequential gradient-restoration algorithm for the minimization of constrained functions—Ordinary and conjugate gradient versions in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2007-03. Optimal Trajectories for Spacecraft Rendezvous in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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    http://scigraph.springernature.com/pub.10.1007/s10957-008-9356-8

    DOI

    http://dx.doi.org/10.1007/s10957-008-9356-8

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