# Resonances and close approaches. I. The Titan-Hyperion case

@article{Bevilacqua1980ResonancesAC,
title={Resonances and close approaches. I. The Titan-Hyperion case},
author={R. Bevilacqua and O. Menchi and A. Milani and A. Nobili and P. Farinella},
journal={The moon and the planets},
year={1980},
volume={22},
pages={141-152}
}
• R. Bevilacqua, +2 authors P. Farinella
• Published 1980
• Physics
• The moon and the planets
• AbstractThe orbits of Titan and Hyperion represent an interesting case of orbital resonance of order one (ratio of periods 3/4), which can be studied within a reasonable accuracy by means of the planar restricted three-body problem. The behaviour of this resonance has been investigated by numerical integrations, of which we show the results in terms of the Poincaré mapping in the plane of the coordinates η = ✓[(2L − 2G)] cos ( $$\tilde \omega$$ H − t)and ξ = −,✓[(2L − 2G)] sin ( \tilde… CONTINUE READING
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