Atlas180 of 3,942

Moth VIIa.10.A

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

Moth VIIa.10.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 64.121 time units, published by Šuvakov & Dmitrašinović (2013). Symmetric moths whose wings meet along a luminous seam. It is weakly unstable (largest Floquet multiplier 1.508), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00964 of each other at a top speed of 10.2, line up 62 times a period, and the computed loop closes to 2.8×10⁻²⁶.

Measured over one period

Period: 64.12114469
Masses: 1 : 1 : 1
Energy: -1.29801
Angular momentum: 0
Closest approach: 0.009638
Top speed: 10.19
Path length: 160.31
Alignments per period: 62
Topology: abaBAbaBAbabABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.508)
Loop closure: 2.8×10⁻²⁶

Neighbours on the map

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