Atlas1,654 of 3,942

II.C.73

m₃ = 2

From Li & Liao (2017)

II.C.73 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 158.77 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000622 of each other at a top speed of 207, line up 358 times a period, and the computed loop closes to 6.1×10⁻²⁴.

Measured over one period

Period: 158.7702676
Masses: 1 : 1 : 2
Energy: -3.52614
Angular momentum: 0
Closest approach: 6.2×10⁻⁵
Top speed: 206.9
Path length: 497.60
Alignments per period: 358
Topology: abababaBABABAbabababABABABabababaBABABAbabababABABABabababaBABABAbabababABABABabababaBABABAbabababABABABabababaBABABAbabababABABABabababaBABABAbabababABABABabababABABABAbababaBABABABabababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.1×10⁻²⁴

Neighbours on the map

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