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Moth region HS.653

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.653 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 475.67 time units, published by Hristov, Hristova & Tanikawa (2026). Stable orbits from the moth-like part of the search domain, between the figure-eight and the Schubart regions. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000167 of each other at a top speed of 245, line up 440 times a period, and the computed loop closes to 1.2×10⁻²¹.

Measured over one period

Period: 475.6700595
Masses: 1 : 1 : 1
Energy: -1.25672
Angular momentum: 0
Closest approach: 1.7×10⁻⁵
Top speed: 245.0
Path length: 1154.0
Alignments per period: 440
Topology: 0 (free-group class, shape period T/2)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.2×10⁻²¹

Neighbours on the map

All Moth region, the families of periodic three-body orbits, or the atlas map.