Atlas147 of 3,942

Butterfly IVb.19.A

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

Butterfly IVb.19.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 69.739 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 0.0000923 of each other at a top speed of 104, line up 136 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 69.73873817
Masses: 1 : 1 : 1
Energy: -1.98000
Angular momentum: 0
Closest approach: 9.2×10⁻⁵
Top speed: 104.1
Path length: 179.22
Alignments per period: 136
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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