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On a new form for the differential equations of relative motion of the three-body problem

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Abstract

A new method for the development of the disturbing function of the three-body problem is outlined in this paper. A special process is devised to get the distance Δ between two planetsP 1 andP 2 in terms of their heliocentric distances. It is then shown that the differential equations of relative motion of this problem can be brought in an homogeneous set of differential equations.

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References

  • Lagrange, L.: 1869,Oeuvres, Tome III, Gauthier-Villars, Paris, pp. 23–24.

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  • Poincaré, H.: 1957,Les méthodes nouvelles de la mécanique céleste, Tome II, Dover Publications, New York, p. 260.

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  1. Observatorio Astronómico, La Plata, Rca., Argentina

    Carlos A. Altavista

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  1. Carlos A. Altavista
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Altavista, C.A. On a new form for the differential equations of relative motion of the three-body problem. Celestial Mechanics 6, 208–213 (1972). https://doi.org/10.1007/BF01227782

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  • DOI: https://doi.org/10.1007/BF01227782

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