Atlas2,057 of 3,915

II.C.279

From Li & Liao (2017)

II.C.279 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 167.85 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.001), so a small nudge only makes it wobble. The bodies pass within 0.00000442 of each other at a top speed of 475, line up 336 times a period, and the computed loop closes to 9.9×10⁻²¹.

Measured over one period

Period: 167.8515326
Masses: 1 : 1 : 1
Energy: -2.02304
Angular momentum: 0
Closest approach: 4.4×10⁻⁶
Top speed: 475.4
Path length: 448.99
Alignments per period: 336
Stability: stable (|λ|max 1.001)
Loop closure: 9.9×10⁻²¹

Neighbours on the map

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