Atlas157 of 3,942

Moth IVc.16.C

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

Moth IVc.16.C is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 69.175 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 0.000516 of each other at a top speed of 44, line up 112 times a period, and the computed loop closes to 6.5×10⁻¹⁷.

Measured over one period

Period: 69.17522297
Masses: 1 : 1 : 1
Energy: -1.77588
Angular momentum: 0
Closest approach: 5.2×10⁻⁴
Top speed: 44.02
Path length: 183.38
Alignments per period: 112
Topology: ababABAbabABAbabaBABabaBABAbabABAbabaBABabaBABababABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.5×10⁻¹⁷

Neighbours on the map

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