Atlas201 of 3,915

VIII.8.A

From Dmitrašinović, Hudomal, Shibayama & Sugita (2018)

VIII.8.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 39.612 time units, published by Dmitrašinović, Hudomal, Shibayama & Sugita (2018). The eighth sequence of the Belgrade gallery, recovered from its archived pages; three orbits that appear in no other catalogue. It is unstable (largest Floquet multiplier 99.43), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0213 of each other at a top speed of 6.93, line up 56 times a period, and the computed loop closes to 2.3×10⁻²⁶.

Measured over one period

Period: 39.61175465
Masses: 1 : 1 : 1
Energy: -1.64381
Angular momentum: 0
Closest approach: 0.02125
Top speed: 6.932
Path length: 105.09
Alignments per period: 56
Stability: unstable (|λ|max 99.43)
Loop closure: 2.3×10⁻²⁶

Neighbours on the map

All Sequence VIII orbits, the families of periodic three-body orbits, or the atlas map.