Atlas139 of 3,942

Butterfly IVb.26.A

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

Butterfly IVb.26.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 97.432 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 0.0000773 of each other at a top speed of 114, line up 184 times a period, and the computed loop closes to 4.3×10⁻²³.

Measured over one period

Period: 97.43218557
Masses: 1 : 1 : 1
Energy: -1.94337
Angular momentum: 0
Closest approach: 7.7×10⁻⁵
Top speed: 113.7
Path length: 253.22
Alignments per period: 184
Topology: ababABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.3×10⁻²³

Neighbours on the map

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