Atlas169 of 3,915

Moth IVc.12.Aα

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

Moth IVc.12.Aα is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 68.646 time units, published by Šuvakov & Dmitrašinović (2013). Moth-like shapes from a third topological class. It is unstable (largest Floquet multiplier 10.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000203 of each other at a top speed of 70.3, line up 82 times a period, and the computed loop closes to 1.8×10⁻²⁴.

Measured over one period

Period: 68.64609000
Masses: 1 : 1 : 1
Energy: -1.47149
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 70.25
Path length: 173.79
Alignments per period: 82
Stability: unstable (|λ|max 10.70)
Loop closure: 1.8×10⁻²⁴

Neighbours on the map

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