Atlas202 of 3,915

VIII.15.B

From Dmitrašinović, Hudomal, Shibayama & Sugita (2018)

VIII.15.B is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 74.393 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 178.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0021 of each other at a top speed of 21.9, line up 108 times a period, and the computed loop closes to 2.2×10⁻²⁵.

Measured over one period

Period: 74.39268879
Masses: 1 : 1 : 1
Energy: -1.67797
Angular momentum: 0
Closest approach: 0.002099
Top speed: 21.87
Path length: 198.77
Alignments per period: 108
Stability: unstable (|λ|max 178.4)
Loop closure: 2.2×10⁻²⁵

Neighbours on the map

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