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In a two-planet system, due to Sundman (1912) inequality, a topological boundary can forbid close encounters between the two planets for infinite time.
Sundman, K. F. 1912, Acta Mathematica, 36, 105
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Marchal, C. & Saari, D. G. 1975, Celestial Mechanics, 12, 115
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Chirikov, B. V. 1979, Physics Reports, 52, 263
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Laskar, J. & Petit, A. C. 2017, Astronomy & Astrophysics, 605, A72
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Marchal, C., Yoshida, J., & Yi-Sui, S. 1984a, Celestial Mechanics, 33, 193
Cited in the paper.
Marchal, C., Yoshida, J., & Yi-Sui, S. 1984b, Celestial Mechanics, 34, 65
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Petit, A. C., Laskar, J., & Boué, G. 2017, Astronomy and Astrophysics, 607, A35
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