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Butterfly IVb.15.D

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

Butterfly IVb.15.D is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 55.819 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 0.000161 of each other at a top speed of 78.8, line up 108 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 55.81919326
Masses: 1 : 1 : 1
Energy: -1.97078
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 78.78
Path length: 143.80
Alignments per period: 108
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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