Parallel optimization of interplanetary trajectories

  • Beidi Hamma
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1184)


This paper describes the software developed at CNES within the context of the VESTA Franco-Soviet program, for the optimization of interplanetary trajectories. The sequentiel software, intended for the determination of multiple flyby trajectories and their optimization, was developed previously in collaboration with CNES and LAO of Paul Sabatier University, Toulouse, France. In this software, an impulse manoeuvre is performed at each flyby. The possibility to add an intermediate manoeuvre between flybys and the use of the swing-by aim to reduce the total trajectory costs. The optimization routines are parallelized.


Parallel Optimization Interplanetary Trajectories Swing-by Multiple-Flyby Lambert Problem 



i=1, N, Celestial bodies passed on flyby


i=1, N, Dates of flyby

(Xi, Wi)

Positions and speeds of P i on date T i


Absolute speed of the probe on departure from P i


Absolute speed of the probe on arrival at P i


Relative speed of the probe on departure from P i


Relative speed of the probe on arrival at P i


Increment on flyby over P i


Position of the intermediate manoeuvre


Dates of intermediate manoeuvre


Probe speed before the intermediate manoeuvre


Probe speed after the intermediate manoeuvre


Increment of the intermediate manoeuvre


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1] [CNES 1]
    F. Bonneau, P. Dorio, HOPTIMA: optimisation de trajectoires interplanétaires avec manoeuvres intermédiaires, CT/DTI/MS/MN/283, CNES Toulouse June 1986Google Scholar
  2. [2] [CNES 2]
    F. Bonneau, P. Dorio, L. Fontaine, Optimisation de trajectoires interplanétaires avec comtraintes supplémantaires, application au projet VESTA, CT/DTI/MS/MN/321, CNES Toulouse, Dec. 1986Google Scholar
  3. [3] [CNES 3]
    F. Bonneau, L. Fontaine, Test d'optimalité et animation de trajectoires interplanétaires, CT/DTI/MS/MN/127, CNES Toulouse, 1986Google Scholar
  4. [4] [CNES 4]
    F. Bonneau, P. Dorio, VESTA détermination de trajectoires créneau 1994, CT/DTI/MS/MN/127, CNES Toulouse, May 1986Google Scholar
  5. [5]
    Bonnemoy C. and B. Hamma, La méthode du recuit simulé: opimisation globale dansn, Rairo Afcet APII, vol 25, N.5, 1991, pp. 477–496.Google Scholar
  6. [6]
    D'Amario L. A., Byrnes D.V. and R. H. Stanford, A new method for optimizing Mutliple-Flyby Interplanetary Trajectories, J. of Guidance and Control, Vol.4. N.6, Nov.–Dec. 1981.Google Scholar
  7. [7]
    B. Hamma, Etude de Problèmes d'optimisation de trajectoires interplanétaires, Final Report, marché CNES-873-4937, July 1991.Google Scholar
  8. [8]
    B. Hamma, La méthode du Recuit Simulé: Problèmes de convergence et de parallélisation dans le cas de l'optimisation continue, Tech. Rep. N.5, LACO, Dept. Maths, Université de Limoges, 1994.Google Scholar
  9. [9]
    B. Hamma, Torn A. and S. Viitanen, Parallel Continuous Simulated Annealing for Global Optimization, submitted to Optimization Methods and Software, 1996.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Beidi Hamma
    • 1
  1. 1.Parallel Algorithms Team, CERFACSEuropean Centre for Research and Advanced Training in Scientific ComputingToulouse-CedexFrance

Personalised recommendations