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    Two-dimensional configuration in the three-dimensional problem of four gravitating bodies

    2005, Vol. 1, No. 2, pp.  215-233

    Author(s): Galperin G. A.

    The paper concerns the behavior of four gravitating bodies. Three bodies have zero mass and are referred to «planet». The fourth body (the «Sun») is a massive gravitating center. The conditions under which the four bodies lie in one plane are discussed. These conditions are shown to be deeply connected with arithmetic and geometric characteristics of «planets» motion.
    Keywords: flattening moment, gravitating bodies, motion of planets, torus
    Citation: Galperin G. A., Two-dimensional configuration in the three-dimensional problem of four gravitating bodies, Rus. J. Nonlin. Dyn., 2005, Vol. 1, No. 2, pp.  215-233
    DOI:10.20537/nd0502005


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