Atlas2,168 of 3,915

II.C.25

From Li & Liao (2017)

II.C.25 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 52.213 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 101.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000592 of each other at a top speed of 13, line up 76 times a period, and the computed loop closes to 5.2×10⁻¹⁷.

Measured over one period

Period: 52.21269244
Masses: 1 : 1 : 1
Energy: -1.63876
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 130.0
Path length: 126.11
Alignments per period: 76
Stability: unstable (|λ|max 101.8)
Loop closure: 5.2×10⁻¹⁷

Neighbours on the map

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