Families / Belgrade classes
Butterfly IVb orbits
A second butterfly sequence with a different topology from class I.
Butterfly IVb orbits are periodic solutions of the planar three-body problem. The atlas holds 32 of them, with periods from 13.87 to 97.7, all with equal masses; 24 of them are linearly stable. They come from Šuvakov & Dmitrašinović (2013), Three classes of Newtonian three-body planar periodic orbits. Every orbit is precomputed to machine precision and plays one period at a time; open one to watch it, nudge it or rate it.
Šuvakov & Dmitrašinović (2013). Three classes of Newtonian three-body planar periodic orbits. Physical Review Letters 110, 114301 (doi)
All 32 orbits
Butterfly IVb.3.A
Butterfly IVb.6.A
Butterfly IVb.7.A
Butterfly IVb.9.A
Butterfly IVb.11.A
Butterfly IVb.14.A
Butterfly IVb.14.B
Butterfly IVb.15.A
Butterfly IVb.15.B
Butterfly IVb.15.Cα
Butterfly IVb.15.Cβ
Butterfly IVb.15.D
Butterfly IVb.15.E
Butterfly IVb.15.F
Butterfly IVb.15.G
Butterfly IVb.15.H
Butterfly IVb.17.A
Butterfly IVb.18.A
Butterfly IVb.18.B
Butterfly IVb.19.A
Butterfly IVb.20.A
Butterfly IVb.21.A
Butterfly IVb.22.A
Butterfly IVb.22.B
Butterfly IVb.23.A
Butterfly IVb.23.B
Butterfly IVb.23.C
Butterfly IVb.23.D
Butterfly IVb.24.A
Butterfly IVb.25.A
Butterfly IVb.26.A
Butterfly IVb.27.A