Atlas94 of 3,915

Moth IVa.8.G

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

Moth IVa.8.G is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 53.747 time units, published by Šuvakov & Dmitrašinović (2013). Broad, fringed wings built from many overlapping passes. It is unstable (largest Floquet multiplier 21.05), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0302 of each other at a top speed of 5.75, line up 52 times a period, and the computed loop closes to 3.2×10⁻²⁸.

Measured over one period

Period: 53.74660580
Masses: 1 : 1 : 1
Energy: -1.30125
Angular momentum: 0
Closest approach: 0.03023
Top speed: 5.749
Path length: 136.64
Alignments per period: 52
Stability: unstable (|λ|max 21.05)
Loop closure: 3.2×10⁻²⁸

Neighbours on the map

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