Atlas140 of 3,915

Butterfly IVb.15.F

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

Butterfly IVb.15.F is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 55.763 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 0.00016 of each other at a top speed of 79, line up 108 times a period, and the computed loop closes to 5.8×10⁻²⁴.

Measured over one period

Period: 55.76285193
Masses: 1 : 1 : 1
Energy: -1.97211
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 78.95
Path length: 143.71
Alignments per period: 108
Stability: stable (|λ|max 1.000)
Loop closure: 5.8×10⁻²⁴

Neighbours on the map

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