Atlas1,365 of 3,915

II.B.1

m₃ = 5

From Li, Jing & Liao (2018)

II.B.1 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 108.4 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 87.93), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000188 of each other at a top speed of 21, line up 328 times a period, and the computed loop closes to 4.6×10⁻²⁴.

Measured over one period

Period: 108.3964678
Masses: 1 : 1 : 5
Energy: -8.07400
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 210.3
Path length: 485.46
Alignments per period: 328
Stability: unstable (|λ|max 87.93)
Loop closure: 4.6×10⁻²⁴

Neighbours on the map

All II.B orbits, the families of periodic three-body orbits, or the atlas map.