Atlas2,019 of 3,915

II.C.175

From Li & Liao (2017)

II.C.175 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 149.46 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 1.102), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000155 of each other at a top speed of 80.3, line up 318 times a period, and the computed loop closes to 3.8×10⁻¹⁷.

Measured over one period

Period: 149.4648328
Masses: 1 : 1 : 1
Energy: -2.10967
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 80.35
Path length: 410.72
Alignments per period: 318
Stability: weakly unstable (|λ|max 1.102)
Loop closure: 3.8×10⁻¹⁷

Neighbours on the map

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