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BH-818

From Three Body Orbits (2026)

BH-818 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 484.18 time units, published by Three Body Orbits (2026). Three linearly stable orbits found here in September 2026 by pushing the Broucke region past the published catalogue’s limit of T* = 800: two continue known lap sequences, one is a seventeen-fold resonant satellite of the Broucke-region orbit B1. Verified independently to 160 bits and again by this atlas’s own tool; not published elsewhere. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000063 of each other at a top speed of 398, line up 534 times a period, and the computed loop closes to 2.1×10⁻²¹. How they were found, verified and compared with the catalogues is set out in the research note.

Measured over one period

Period: 484.1847315
Masses: 1 : 1 : 1
Energy: -1.41902
Angular momentum: 0
Closest approach: 6.3×10⁻⁶
Top speed: 398.4
Path length: 1243.0
Alignments per period: 534
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.1×10⁻²¹

Neighbours on the map

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