Atlas1,451 of 3,915

II.C.72

From Li & Liao (2017)

II.C.72 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 97.852 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 461.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0445 of each other at a top speed of 4.77, line up 80 times a period, and the computed loop closes to 3.3×10⁻²⁶.

Measured over one period

Period: 97.85213571
Masses: 1 : 1 : 1
Energy: -1.16203
Angular momentum: 0
Closest approach: 0.04450
Top speed: 4.770
Path length: 233.05
Alignments per period: 80
Stability: unstable (|λ|max 461.2)
Loop closure: 3.3×10⁻²⁶

Neighbours on the map

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