Atlas172 of 3,942

Moth IVc.19.A

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

Moth IVc.19.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 93.785 time units, published by Šuvakov & Dmitrašinović (2013). Moth-like shapes from a third topological class. It is weakly unstable (largest Floquet multiplier 1.016), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00071 of each other at a top speed of 37.5, line up 128 times a period, and the computed loop closes to 8.3×10⁻²⁵.

Measured over one period

Period: 93.78547222
Masses: 1 : 1 : 1
Energy: -1.60785
Angular momentum: 0
Closest approach: 7.1×10⁻⁴
Top speed: 37.53
Path length: 248.15
Alignments per period: 128
Topology: abaBAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.016)
Loop closure: 8.3×10⁻²⁵

Neighbours on the map

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