Atlas2,203 of 3,942

II.C.100

m₃ = 0.5

From Li & Liao (2017)

II.C.100 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 109.65 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 0.0000178 of each other at a top speed of 273, line up 138 times a period, and the computed loop closes to 1.2×10⁻²².

Measured over one period

Period: 109.6451977
Masses: 1 : 1 : 0.5
Energy: -0.967899
Angular momentum: 0
Closest approach: 1.8×10⁻⁵
Top speed: 273.4
Path length: 244.39
Alignments per period: 138
Topology: aabAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbbAABaBBaabAbaBABaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBBaaBAbbAABaBB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻²²

Neighbours on the map

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