Atlas168 of 3,915

Moth IVc.19.Bβ

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

Moth IVc.19.Bβ is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 90.899 time units, published by Šuvakov & Dmitrašinović (2013). Moth-like shapes from a third topological class. It is weakly unstable (largest Floquet multiplier 2.942), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000494 of each other at a top speed of 45, line up 132 times a period, and the computed loop closes to 5.6×10⁻²⁵.

Measured over one period

Period: 90.89934723
Masses: 1 : 1 : 1
Energy: -1.67231
Angular momentum: 0
Closest approach: 4.9×10⁻⁴
Top speed: 45.01
Path length: 243.90
Alignments per period: 132
Stability: weakly unstable (|λ|max 2.942)
Loop closure: 5.6×10⁻²⁵

Neighbours on the map

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