Atlas1,417 of 3,915

II.C.234

From Li & Liao (2017)

II.C.234 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.42 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 71.34), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000452 of each other at a top speed of 47, line up 154 times a period, and the computed loop closes to 9.1×10⁻²⁵.

Measured over one period

Period: 164.4248211
Masses: 1 : 1 : 1
Energy: -1.26721
Angular momentum: 0
Closest approach: 4.5×10⁻⁴
Top speed: 47.05
Path length: 401.06
Alignments per period: 154
Stability: unstable (|λ|max 71.34)
Loop closure: 9.1×10⁻²⁵

Neighbours on the map

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