Atlas1,789 of 3,915

II.C.50

m₃ = 2

From Li & Liao (2017)

II.C.50 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 105.38 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 3.388), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000513 of each other at a top speed of 721, line up 278 times a period, and the computed loop closes to 1.5×10⁻²¹.

Measured over one period

Period: 105.3750211
Masses: 1 : 1 : 2
Energy: -3.90611
Angular momentum: 0
Closest approach: 5.1×10⁻⁶
Top speed: 721.0
Path length: 336.49
Alignments per period: 278
Stability: weakly unstable (|λ|max 3.388)
Loop closure: 1.5×10⁻²¹

Neighbours on the map

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