Abstract
Suppose that two points (r 1, m 1) and (r 2, m 2) mutually interact with potential energy U(|r 1 − r 2|), so that the equations of motion have the form \({m_1}{\ddot r_1} = - \frac{{\partial U}}{{\partial {r_1}}},\;{m_2}{\ddot r_2} = - \frac{{\partial U}}{{\partial {r_2}}}.\)
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© 1988 Springer-Verlag Berlin Heidelberg
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Arnold, V.I. (1988). The n-Body Problem. In: Arnold, V.I. (eds) Dynamical Systems III. Encyclopaedia of Mathematical Sciences, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02535-2_2
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DOI: https://doi.org/10.1007/978-3-662-02535-2_2
Publisher Name: Springer, Berlin, Heidelberg
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