600 Lincoln Avenue, Charleston IL, 61920-3099
Depatment of Mathematics, Eastern Illinois University
Galperin G. A.
Two-dimensional configuration in the three-dimensional problem of four gravitating bodies
2005, Vol. 1, No. 2, pp. 215-233
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.