Atlas2,117 of 3,915

II.C.68

m₃ = 0.5

From Li & Liao (2017)

II.C.68 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 60.942 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 0.00000348 of each other at a top speed of 619, line up 106 times a period, and the computed loop closes to 3.1×10⁻²¹.

Measured over one period

Period: 60.94191174
Masses: 1 : 1 : 0.5
Energy: -1.19373
Angular momentum: 0
Closest approach: 3.5×10⁻⁶
Top speed: 619.0
Path length: 148.72
Alignments per period: 106
Stability: stable (|λ|max 1.000)
Loop closure: 3.1×10⁻²¹

Neighbours on the map

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