Atlas184 of 3,942

Moth VIIa.6.A

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

Moth VIIa.6.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 35.833 time units, published by Šuvakov & Dmitrašinović (2013). Symmetric moths whose wings meet along a luminous seam. It is weakly unstable (largest Floquet multiplier 5.530), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00886 of each other at a top speed of 10.6, line up 38 times a period, and the computed loop closes to 9.2×10⁻²⁷.

Measured over one period

Period: 35.83344424
Masses: 1 : 1 : 1
Energy: -1.37425
Angular momentum: 0
Closest approach: 0.008855
Top speed: 10.62
Path length: 90.404
Alignments per period: 38
Topology: abaBAbabABabABAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 5.530)
Loop closure: 9.2×10⁻²⁷

Neighbours on the map

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