Atlas1,401 of 3,915

II.C.84

From Li & Liao (2017)

II.C.84 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 106.1 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 590.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0133 of each other at a top speed of 8.69, line up 108 times a period, and the computed loop closes to 7.2×10⁻²⁷.

Measured over one period

Period: 106.0964326
Masses: 1 : 1 : 1
Energy: -1.34788
Angular momentum: 0
Closest approach: 0.01329
Top speed: 8.692
Path length: 279.12
Alignments per period: 108
Stability: unstable (|λ|max 590.7)
Loop closure: 7.2×10⁻²⁷

Neighbours on the map

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