Atlas2,011 of 3,942

II.C.199

m₃ = 0.5

From Li & Liao (2017)

II.C.199 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 142.75 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 0.00000539 of each other at a top speed of 497, line up 242 times a period, and the computed loop closes to 2.8×10⁻²⁰.

Measured over one period

Period: 142.7458387
Masses: 1 : 1 : 0.5
Energy: -1.16506
Angular momentum: 0
Closest approach: 5.4×10⁻⁶
Top speed: 497.3
Path length: 339.83
Alignments per period: 242
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.8×10⁻²⁰

Neighbours on the map

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