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Moth region HS.696

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.696 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 428.83 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 0.000065 of each other at a top speed of 124, line up 456 times a period, and the computed loop closes to 4.9×10⁻²³.

Measured over one period

Period: 428.8270590
Masses: 1 : 1 : 1
Energy: -1.37428
Angular momentum: 0
Closest approach: 6.5×10⁻⁵
Top speed: 124.0
Path length: 1076.7
Alignments per period: 456
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.9×10⁻²³

Neighbours on the map

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