Atlas131 of 3,942

Butterfly IVb.21.A

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

Butterfly IVb.21.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 83.292 time units, published by Šuvakov & Dmitrašinović (2013). A second butterfly sequence with a different topology from class I. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000194 of each other at a top speed of 71.7, line up 148 times a period, and the computed loop closes to 3.6×10⁻²⁴.

Measured over one period

Period: 83.29151105
Masses: 1 : 1 : 1
Energy: -1.87546
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 71.74
Path length: 219.22
Alignments per period: 148
Topology: ababABAbabaBABababABAbabaBABAbabABABabaBABAbabaBABababABAbabaBABababABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.6×10⁻²⁴

Neighbours on the map

All Butterfly IVb orbits, the families of periodic three-body orbits, or the atlas map.