Discrete mechanics: Some remarks |
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| Authors: | Ettore Perozzi |
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| Institution: | (1) Reparto di Planetologia, Istituto di Astrofisica Spaziale, Rome, Italy |
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| Abstract: | A detailed investigation about Discrete Mechanics (a numerical method developed by D. Greenspan and R. A. LaBudde) in Celestial Mechanics applications has been carried out. The method shows a remarkable precession of the argument of pericentre, whose value depends mainly on the time step scaling used and on the length of the integration step. It has been found that this behaviour is due to the structure of Discrete Mechanics and that the precession, taken as a function of the length of the integration step, follows with good agreement an inverse square law. The existence of this relationship allowed the development of a modified version of the method: its consistence with respect to the original one is discussed both from an analytical and a computational point of view. Furthermore the Modified Discrete Mechanics allowed the extension of the method to the case of the potential due to an oblate spheroid. |
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