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Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune

T. Kotoulas & G. Voyatzis (2020)

Published
Jun 1, 2020
Journal
Celestial Mechanics and Dynamical Astronomy · Vol. 132 · No. 6-7
DOI
10.1007/s10569-020-09969-1

At a GlanceAI

Maps families of retrograde periodic orbits for the 1/2, 2/3 and 3/4 resonances with Neptune, clarifying possible stable resonant motion.

SummaryAI

The work characterizes retrograde (opposite-direction) resonant dynamics with Neptune by identifying periodic-orbit families in the 1/2, 2/3, and 3/4 mean-motion resonances. By organizing the resonant phase space around these periodic solutions, it helps explain where long-lived retrograde resonant configurations can exist. This provides a theoretical framework for interpreting or constraining the dynamics of retrograde Neptune-resonant small bodies and for guiding future resonance searches and stability studies.

Method SnapshotAI

Dynamical-systems analysis focused on computing and continuing families of periodic orbits in selected mean-motion resonances.

BackgroundAI

Mean-motion resonance theory and basic celestial mechanics of periodic orbits and stability in the restricted three-body context.

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