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The Restricted Three -Body Problem. Comments on the `Spatial' Equilibrium Points

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Abstract

In the photogravitational restricted three-body problem, the role of theradiation-pressure is reviewed. By the analytical considerations, the existence of the `spatial' equilibrium points is analysed. In order to avoid the unknown parameters of the infinitesimal body, for the two component stars an analytical function β2 =f(β1 ) is established.In contrast to results given by other authors, here only one pair of suchpoints is found. A numerical simulation for RW Monocerotis is undertakenand it is found L 6(−0.055; 0; +1.07) and L 7(−0.055; 0; −1.07).

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Roman, R. The Restricted Three -Body Problem. Comments on the `Spatial' Equilibrium Points. Astrophysics and Space Science 275, 425–429 (2001). https://doi.org/10.1023/A:1002822606921

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