Atlas146 of 3,942

Butterfly IVb.23.C

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

Butterfly IVb.23.C is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 83.72 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 0.0000585 of each other at a top speed of 131, line up 164 times a period, and the computed loop closes to 6.9×10⁻²⁴.

Measured over one period

Period: 83.71952475
Masses: 1 : 1 : 1
Energy: -1.98516
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 130.7
Path length: 214.71
Alignments per period: 164
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.9×10⁻²⁴

Neighbours on the map

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