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Trajectory Design Combining Low-Thrust and Gravity Assist Manoeuvres

  • Massimiliano Vasile
  • Franco Bernelli-Zazzera
Part of the Applied Optimization book series (APOP, volume 79)

Abstract

In this chapter a direct method based on a transcription by Finite Elements in Time has been used to design optimal trajectories aiming to reach a high inclined low-perihelion orbit about the Sun, exploiting a combination of gravity assist manoeuvres and low-thrust propulsion. A multiphase parametric approach has been used to introduce swing-bys among thrust and coast arcs. Gravity manoeuvres are at first modelled with a linked-conic approximation and then introduced through a full three-dimensional propagation including perturbations by the Sun. Finally a meaningful test case is presented to illustrate the effectiveness of the proposed approach

Keywords

trajectory optimisation and design direct methods finite elements in time gravity assist manoeuvres 

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References

  1. [1]
    Bryson A. E. Jr., Yu-Chi H. Applied Optimal Control. Waltham, Massachusetts: Blaisdell Publishing Company, 1969.Google Scholar
  2. [2]
    ESA, Pre-Assesment Study Report: Solar Orbiter. CDF-02(A), 1999.Google Scholar
  3. [3]
    Gill P. E., Murray W., Saunders A. User’s Guide for SNOPT 5.3: A Fortran Package for Large-Scale Nonlinear Programming. Stanford University, 1998.Google Scholar
  4. [4]
    Langevin Y. Chemical and Solar Electric Propulsion Options for a Mercury Cornerstone Mission. IAF-99-A.2.04, 50th IAF Congress, Amsterdam, Netherlands, 1999.Google Scholar
  5. [5]
    Vasile M. Direct Transcription by FET for Optimal Space Trajectory Design. Internal Report DIA-SR 99–02, Politecnico di Milano, Dipartimento di Ingegneria Aerospaziale, 1999.Google Scholar
  6. [6]
    Vasile M, Bernelli-Zazzera F. Combining Low-Thrust Propulsion and Gravity Assist Manoeuvres to Reach Planet Mercury. AAS 01–459, AAS/AIAA Astrodynamics Specialist Conference, Quebec City, Quebec, Canada, 2001.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Massimiliano Vasile
    • 1
  • Franco Bernelli-Zazzera
    • 2
  1. 1.Politecnico di MilanoDipartimento di Ingegneria AerospazialeMilanoItaly
  2. 2.Politecnico di MilanoDipartimento di Ingegneria AerospazialeItaly

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