Atlas1,456 of 3,915

II.C.79

From Li & Liao (2017)

II.C.79 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 96.398 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 151.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00148 of each other at a top speed of 26, line up 96 times a period, and the computed loop closes to 1.3×10⁻²⁵.

Measured over one period

Period: 96.39763740
Masses: 1 : 1 : 1
Energy: -1.32815
Angular momentum: 0
Closest approach: 0.001480
Top speed: 26.00
Path length: 251.09
Alignments per period: 96
Stability: unstable (|λ|max 151.5)
Loop closure: 1.3×10⁻²⁵

Neighbours on the map

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