Abstract
Using Sylvester's theorem on matrices, an elegant expression is obtained for the solutions of the restricted problem of three bodies in the neighborhood of the equilibrium points.
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References
Gantmacher, F. R.: 1964,The Theory of Matrices, Vol. I, Chelsea Publ. Co., New York, Chapter V.
Szebeheley, V.: 1967,Theory of Orbits, Academic Press, New York and London, Chapter 5.
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Giacaglia, G.E.O. A note on the equilibrium points of the restricted problem of three bodies. Celestial Mechanics 12, 519–520 (1975). https://doi.org/10.1007/BF01595395
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DOI: https://doi.org/10.1007/BF01595395