Atlas152 of 3,942

Moth IVc.13.A

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

Moth IVc.13.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 55.377 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 0.000712 of each other at a top speed of 37.5, line up 92 times a period, and the computed loop closes to 5.2×10⁻²⁰.

Measured over one period

Period: 55.37701901
Masses: 1 : 1 : 1
Energy: -1.80301
Angular momentum: 0
Closest approach: 7.1×10⁻⁴
Top speed: 37.47
Path length: 146.68
Alignments per period: 92
Topology: ababABAbabaBABabaBABAbabABAbabaBABababABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.2×10⁻²⁰

Neighbours on the map

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