文档介绍：iatore, F., Toglia, C. Optimization of orbital trajectories using ic algorithms
OPTIMIZATION OF ORBITAL TRAJECTORIES USING IC
ALGORITHMS
Francesco iatore
DEIMOS Space ., Tres Cantos (Madrid), Spain
This work was carried out at University of Rome ’La Sapienza’
francesco.******@deimos-
Chiara Toglia
PhD Student, Department of Mechanics and Aeronautics
University of Rome ’La Sapienza’, Rome, Italy
chiara.******@
Abstract: This paper deals with a numerical method for obtaining minimum fuel orbit transfers. Impulsive
missions are considered, with a constraint on the time of flight. The impulsive transfer can be viewed
as a ession of coast arcs separated by thrust points. The initial and final points of the trajectories
are supposed to be known. In this work the optimization process is carried out using ic algorithms
(GAs). The mathematical model is described. In particular the Lambert’s problem is studied and a new
and alternative formulation for orbit determination is introduced. Characteristics and performance of
different GAs operators are analyzed. parison with the classical methods is made in order to point
out the differences. Numerical results on the optimal mission and on the performance of the optimization
plete the work.
1 Introduction
This paper provides a mathematical model for the optimization of an orbital rendez-vous with circular and
arbitrarily oriented departure and arrival orbits. A fixed-time impulsive-thrust manoeuvre is considered.
The objective of the optimization process is to minimize the consumption of propellant, . the velocity
impulse ∆V for achieving the mission. While indirect optimization methods guarantee excellent numerical
accuracy (Colasurdo and Pastrone, 1994; Casalino et al., 1999; Prussing, 1993), recently also GAs (Rosa
Sentinella and Casalino, 2006) have been investigated to be applied to this field. In this paper GAs have
been used and the performance of different selection operators