Atlas1,477 of 3,915

II.C.69

From Li & Liao (2017)

II.C.69 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 33.158 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 46922), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00861 of each other at a top speed of 10.8, line up 84 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 33.15790032
Masses: 1 : 1 : 1
Energy: -2.34677
Angular momentum: 0
Closest approach: 0.008611
Top speed: 10.81
Path length: 91.973
Alignments per period: 84
Stability: unstable (|λ|max 46922)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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