Atlas149 of 3,942

Butterfly IVb.27.A

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

Butterfly IVb.27.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 97.701 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 0.0000401 of each other at a top speed of 158, line up 192 times a period, and the computed loop closes to 7.5×10⁻²⁴.

Measured over one period

Period: 97.70126759
Masses: 1 : 1 : 1
Energy: -1.98882
Angular momentum: 0
Closest approach: 4.0×10⁻⁵
Top speed: 158.0
Path length: 250.20
Alignments per period: 192
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.5×10⁻²⁴

Neighbours on the map

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