Atlas130 of 3,915

Butterfly IVb.25.A

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

Butterfly IVb.25.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 97.246 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 0.000121 of each other at a top speed of 90.7, line up 176 times a period, and the computed loop closes to 3.1×10⁻²⁴.

Measured over one period

Period: 97.24553205
Masses: 1 : 1 : 1
Energy: -1.89572
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 90.73
Path length: 255.20
Alignments per period: 176
Stability: stable (|λ|max 1.000)
Loop closure: 3.1×10⁻²⁴

Neighbours on the map

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