Atlas2,186 of 3,942

II.C.147

m₃ = 0.75

From Li & Liao (2017)

II.C.147 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 171.59 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 0.0000046 of each other at a top speed of 498, line up 256 times a period, and the computed loop closes to 3.4×10⁻²⁰.

Measured over one period

Period: 171.5880123
Masses: 1 : 1 : 0.75
Energy: -1.37496
Angular momentum: 0
Closest approach: 4.6×10⁻⁶
Top speed: 498.2
Path length: 400.44
Alignments per period: 256
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.4×10⁻²⁰

Neighbours on the map

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