Atlas162 of 3,942

Moth IVc.22.A

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

Moth IVc.22.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 95.078 time units, published by Šuvakov & Dmitrašinović (2013). Moth-like shapes from a third topological class. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000459 of each other at a top speed of 46.7, line up 152 times a period, and the computed loop closes to 2.9×10⁻¹⁸.

Measured over one period

Period: 95.07804500
Masses: 1 : 1 : 1
Energy: -1.76507
Angular momentum: 0
Closest approach: 4.6×10⁻⁴
Top speed: 46.70
Path length: 253.63
Alignments per period: 152
Topology: ababABAbabABAbabaBABabaBABabaBABAbabABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.9×10⁻¹⁸

Neighbours on the map

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