Atlas1,913 of 3,915

II.C.289

From Li & Liao (2017)

II.C.289 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 172.78 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 9.830), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000155 of each other at a top speed of 254, line up 372 times a period, and the computed loop closes to 1.5×10⁻²¹.

Measured over one period

Period: 172.7824865
Masses: 1 : 1 : 1
Energy: -2.13076
Angular momentum: 0
Closest approach: 1.6×10⁻⁵
Top speed: 253.6
Path length: 482.43
Alignments per period: 372
Stability: weakly unstable (|λ|max 9.830)
Loop closure: 1.5×10⁻²¹

Neighbours on the map

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