Atlas1,925 of 3,942

II.C.53

m₃ = 2

From Li & Liao (2017)

II.C.53 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 104.62 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 4.691), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000038 of each other at a top speed of 837, line up 290 times a period, and the computed loop closes to 3.8×10⁻²¹.

Measured over one period

Period: 104.6229339
Masses: 1 : 1 : 2
Energy: -4.02953
Angular momentum: 0
Closest approach: 3.8×10⁻⁶
Top speed: 837.2
Path length: 329.11
Alignments per period: 290
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 4.691)
Loop closure: 3.8×10⁻²¹

Neighbours on the map

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