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Moth region HS.618

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.618 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 415.86 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 0.046 of each other at a top speed of 4.66, line up 432 times a period, and the computed loop closes to 9.8×10⁻²⁷.

Measured over one period

Period: 415.8644829
Masses: 1 : 1 : 1
Energy: -1.35171
Angular momentum: 0
Closest approach: 0.04598
Top speed: 4.660
Path length: 1035.5
Alignments per period: 432
Topology: (abaBAbabAB)²⁷ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 9.8×10⁻²⁷

Neighbours on the map

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