Atlas165 of 3,942

Moth IVc.21.A

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

Moth IVc.21.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 94.653 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 0.00125 of each other at a top speed of 28.3, line up 144 times a period, and the computed loop closes to 2.5×10⁻¹³.

Measured over one period

Period: 94.65327267
Masses: 1 : 1 : 1
Energy: -1.71451
Angular momentum: 0
Closest approach: 0.001251
Top speed: 28.27
Path length: 252.47
Alignments per period: 144
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.5×10⁻¹³

Neighbours on the map

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