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Moth region HS.725

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.725 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 419.03 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 0.0505 of each other at a top speed of 4.45, line up 464 times a period, and the computed loop closes to 3.0×10⁻²⁶.

Measured over one period

Period: 419.0317301
Masses: 1 : 1 : 1
Energy: -1.41051
Angular momentum: 0
Closest approach: 0.05047
Top speed: 4.450
Path length: 1065.9
Alignments per period: 464
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.0×10⁻²⁶

Neighbours on the map

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