Gregory Galperin

    600 Lincoln Avenue, Charleston IL, 61920-3099
    Depatment of Mathematics, Eastern Illinois University


    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

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