Atlas167 of 3,915

Moth IVc.8.C

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

Moth IVc.8.C is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 37.177 time units, published by Šuvakov & Dmitrašinović (2013). Moth-like shapes from a third topological class. It is unstable (largest Floquet multiplier 19.34), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000224 of each other at a top speed of 66.9, line up 62 times a period, and the computed loop closes to 7.3×10⁻²⁵.

Measured over one period

Period: 37.17725986
Masses: 1 : 1 : 1
Energy: -1.84145
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 66.86
Path length: 105.77
Alignments per period: 62
Stability: unstable (|λ|max 19.34)
Loop closure: 7.3×10⁻²⁵

Neighbours on the map

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