Atlas1,873 of 3,915

II.C.299

From Li & Liao (2017)

II.C.299 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 197.19 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 244.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000106 of each other at a top speed of 97, line up 426 times a period, and the computed loop closes to 4.2×10⁻²³.

Measured over one period

Period: 197.1869561
Masses: 1 : 1 : 1
Energy: -2.13879
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 97.05
Path length: 555.68
Alignments per period: 426
Stability: unstable (|λ|max 244.9)
Loop closure: 4.2×10⁻²³

Neighbours on the map

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