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An extension of Szebehely's problem to holonomic systems

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Abstract

We study the problem of the determination of the potential function of forces generating a given family of orbits in the n-dimensional configuration space of the representative point of a holonomic system. We obtain first-order partial differential equations to solve the problem and we discuss some particular examples.

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Si studia il problema della determinazione del potenziale delle forze atte a far descrivere al punto rappresentativo di un sistema olonomo ad n gradi di libertà una traiettoria appartenente ad una assegnata famiglia di curve. Si scrivono le equazioni differenziali alle derivate parziali del primo ordine che reggono il problema e si considerano alcuni esempi particolari.

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References

  1. Bruocke, R. and Lass, H.: 1977,Celest. Mech. 16, 225.

    Google Scholar 

  2. Érdi, B.: 1982,Celest. Mech. 28, 209.

    Google Scholar 

  3. Melis, A.: 1979,Rend. Sem. Fac. Sc. Univ. Cagliari XLIX, 157.

    Google Scholar 

  4. Mertens, R.: 1981,ZAMM,61, T. 252.

    Google Scholar 

  5. Molnár, S.: 1981,Celest. Mech. 25 81.

    Google Scholar 

  6. Szebehely, V.: 1974,Rend. Sem. Fac. Sc. Univ. Cagliari,XLIV, Suppl., 31.

    Google Scholar 

  7. Szebehely, V. and Broucke, R.: 1981,Celest. Mech. 24, 23.

    Google Scholar 

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Authors and Affiliations

  1. Instituto matematico dell'Università di Cagliari, Italia

    A. Melis & B. Piras

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  1. A. Melis
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  2. B. Piras
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Melis, A., Piras, B. An extension of Szebehely's problem to holonomic systems. Celestial Mechanics 32, 87–92 (1984). https://doi.org/10.1007/BF01358405

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  • DOI: https://doi.org/10.1007/BF01358405

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