Atlas2,076 of 3,915

II.C.244

m₃ = 0.5

From Li & Liao (2017)

II.C.244 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 182.7 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 0.0000339 of each other at a top speed of 198, line up 302 times a period, and the computed loop closes to 2.0×10⁻²².

Measured over one period

Period: 182.7043137
Masses: 1 : 1 : 0.5
Energy: -1.14112
Angular momentum: 0
Closest approach: 3.4×10⁻⁵
Top speed: 198.4
Path length: 430.87
Alignments per period: 302
Stability: stable (|λ|max 1.000)
Loop closure: 2.0×10⁻²²

Neighbours on the map

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