Atlas200 of 3,942

VIII.10.A

From Dmitrašinović, Hudomal, Shibayama & Sugita (2018)

VIII.10.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 48.895 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 232), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00112 of each other at a top speed of 8.44, line up 70 times a period, and the computed loop closes to 5.2×10⁻².

Measured over one period

Period: 48.89452703
Masses: 1 : 1 : 1
Energy: -1.69354
Angular momentum: 0
Closest approach: 0.001115
Top speed: 8.440
Path length: 131.17
Alignments per period: 70
Topology: 0 (free-group class)
Stability: unstable (|λ|max 232.0)
Loop closure: 5.2×10⁻²

Neighbours on the map

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