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- 1.
From Cantor’s recent work we have learned in fact (using his language) that a set can be perfect without being continuous.
- 2.
It is not necessary here to indicate that these values of \( x_{1}^{0} ,\,x_{2}^{0} ,\,n_{1} \) and \( n_{2} \) are those corresponding to the periodic solution being studied; they are not those which we were using above in the discussion of Lindstedt’s method. The ratio \( n_{1} /n_{2} \) is therefore commensurable.
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Poincaré, H. (2017). Various Results. In: The Three-Body Problem and the Equations of Dynamics. Astrophysics and Space Science Library, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-52899-1_6
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DOI: https://doi.org/10.1007/978-3-319-52899-1_6
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