Atlas1,953 of 3,915

II.C.146

From Li & Liao (2017)

II.C.146 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 166.2 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 5.060), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000335 of each other at a top speed of 173, line up 230 times a period, and the computed loop closes to 2.0×10⁻²².

Measured over one period

Period: 166.2000475
Masses: 1 : 1 : 1
Energy: -1.60215
Angular momentum: 0
Closest approach: 3.3×10⁻⁵
Top speed: 172.8
Path length: 420.56
Alignments per period: 230
Stability: weakly unstable (|λ|max 5.060)
Loop closure: 2.0×10⁻²²

Neighbours on the map

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