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Singular trajectories in the restricted problem of four bodies

1905
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Annali di Matematica Pura ed Applicata
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The restricted problem of three bodies has occupied a prominent place in recent researches in celestial mechanics. It maybe formulated as follows: Two bodies, S and J, revolve round their common centre of gravity in circular orbits under the influence of thoir mutual attraction (that is, constitute an exact solution of the problem of two bodies). A third body P without mass (that is~ such that it is attracted by S and J, but does not disturb their motion) moves in the same plane as S and J. The

doi:10.1007/bf02419958
fatcat:76z6ah7fr5fujlwrl2ljw3x6b4