Atlas185 of 3,942

Moth VIIa.13.B

From Šuvakov & Dmitrašinović (2013). Sequences of orbits from the Belgrade three-body gallery.

Moth VIIa.13.B is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 95.073 time units, published by Šuvakov & Dmitrašinović (2013). Symmetric moths whose wings meet along a luminous seam. It is unstable (largest Floquet multiplier 13.83), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0286 of each other at a top speed of 5.92, line up 82 times a period, and the computed loop closes to 3.3×10⁻²⁷.

Measured over one period

Period: 95.07334742
Masses: 1 : 1 : 1
Energy: -1.19844
Angular momentum: 0
Closest approach: 0.02857
Top speed: 5.924
Path length: 224.98
Alignments per period: 82
Topology: abaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBABabAB (free-group class)
Stability: unstable (|λ|max 13.83)
Loop closure: 3.3×10⁻²⁷

Neighbours on the map

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