Atlas163 of 3,942

Moth IVc.12.B

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

Moth IVc.12.B is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 54.853 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 0.00159 of each other at a top speed of 25.1, line up 84 times a period, and the computed loop closes to 3.2×10⁻²⁶.

Measured over one period

Period: 54.85315575
Masses: 1 : 1 : 1
Energy: -1.71942
Angular momentum: 0
Closest approach: 0.001593
Top speed: 25.06
Path length: 145.72
Alignments per period: 84
Topology: ababABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.2×10⁻²⁶

Neighbours on the map

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