Atlas159 of 3,942

Moth IVc.17.A

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

Moth IVc.17.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 82.863 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 0.00132 of each other at a top speed of 27.6, line up 116 times a period, and the computed loop closes to 1.2×10⁻⁹.

Measured over one period

Period: 82.86320926
Masses: 1 : 1 : 1
Energy: -1.62917
Angular momentum: 0
Closest approach: 0.001316
Top speed: 27.57
Path length: 218.44
Alignments per period: 116
Topology: abaBAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻⁹

Neighbours on the map

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