Atlas1,915 of 3,915

II.C.19

From Li & Liao (2017)

II.C.19 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 27.725 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 116.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000521 of each other at a top speed of 139, line up 66 times a period, and the computed loop closes to 7.4×10⁻²⁴.

Measured over one period

Period: 27.72536513
Masses: 1 : 1 : 1
Energy: -2.26985
Angular momentum: 0
Closest approach: 5.2×10⁻⁵
Top speed: 138.6
Path length: 82.015
Alignments per period: 66
Stability: unstable (|λ|max 116.5)
Loop closure: 7.4×10⁻²⁴

Neighbours on the map

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