Atlas1,707 of 3,915

II.C.74

m₃ = 2

From Li & Liao (2017)

II.C.74 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 178.01 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 1.045), so a small nudge only makes it wobble. The bodies pass within 0.00000411 of each other at a top speed of 806, line up 360 times a period, and the computed loop closes to 2.6×10⁻¹⁷.

Measured over one period

Period: 178.0148431
Masses: 1 : 1 : 2
Energy: -3.26891
Angular momentum: 0
Closest approach: 4.1×10⁻⁶
Top speed: 805.5
Path length: 514.74
Alignments per period: 360
Stability: stable (|λ|max 1.045)
Loop closure: 2.6×10⁻¹⁷

Neighbours on the map

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