Atlas1,511 of 3,915

II.C.1

m₃ = 2

From Li & Liao (2017)

II.C.1 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 8.1277 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 559), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00864 of each other at a top speed of 17.3, line up 18 times a period, and the computed loop closes to 7.2×10⁻²⁷.

Measured over one period

Period: 8.127741970
Masses: 1 : 1 : 2
Energy: -3.49115
Angular momentum: 0
Closest approach: 0.008642
Top speed: 17.26
Path length: 26.534
Alignments per period: 18
Stability: unstable (|λ|max 559.0)
Loop closure: 7.2×10⁻²⁷

Neighbours on the map

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