Atlas1,876 of 3,915

II.C.57

From Li & Liao (2017)

II.C.57 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 79.773 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 1.945), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000784 of each other at a top speed of 113, line up 160 times a period, and the computed loop closes to 8.7×10⁻²⁴.

Measured over one period

Period: 79.77285710
Masses: 1 : 1 : 1
Energy: -2.04532
Angular momentum: 0
Closest approach: 7.8×10⁻⁵
Top speed: 113.0
Path length: 225.06
Alignments per period: 160
Stability: weakly unstable (|λ|max 1.945)
Loop closure: 8.7×10⁻²⁴

Neighbours on the map

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