Atlas186 of 3,942

Moth VIIa.11.A

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

Moth VIIa.11.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 66.352 time units, published by Šuvakov & Dmitrašinović (2013). Symmetric moths whose wings meet along a luminous seam. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00308 of each other at a top speed of 18, line up 70 times a period, and the computed loop closes to 1.3×10⁻²⁵.

Measured over one period

Period: 66.35197368
Masses: 1 : 1 : 1
Energy: -1.36784
Angular momentum: 0
Closest approach: 0.003082
Top speed: 18.01
Path length: 166.53
Alignments per period: 70
Topology: abaBAbabABabaBAbabABabABAbaBABabABAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.3×10⁻²⁵

Neighbours on the map

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