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Numerical solutions for lunar orbits

Vasile, Massimiliano and Finzi, Amalia E. (1997) Numerical solutions for lunar orbits. In: 48th International Astronautical Congress, 1997-10-06 - 1997-10-10, Turin.

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    Abstract

    Starting from a variational formulation based on Hamilton’s Principle, the paper exploits the finite element technique in the time domain in order to solve orbital dynamic problems characterised by constrained boundary value rather than initial value problems. The solution is obtained assembling a suitable number of finite elements inside the time interval of interest, imposing the desired constraints, and solving the resultant set of non-linear algebraic equations by means of Newton-Raphson method. In particular, in this work this general solution strategy is applied to periodic orbits determination. The effectiveness of the approach in finding periodic orbits in the unhomogeneous gravity field of the Moon is assessed by means of relevant examples, and the results are compared with those obtained by standard time marching techniques as well as with analytical results.

    Item type: Conference or Workshop Item (Paper)
    ID code: 41002
    Keywords: Hamilton's Principle, finite element modelling techniques, periodic orbits determination, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics
    Subjects: Technology > Mechanical engineering and machinery
    Technology > Motor vehicles. Aeronautics. Astronautics
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Related URLs:
      Depositing user: Pure Administrator
      Date Deposited: 03 Sep 2012 12:14
      Last modified: 14 Dec 2012 12:04
      URI: http://strathprints.strath.ac.uk/id/eprint/41002

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