Atlas2,072 of 3,942

II.C.149

m₃ = 0.75

From Li & Liao (2017)

II.C.149 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 137.68 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 0.00000649 of each other at a top speed of 42, line up 272 times a period, and the computed loop closes to 1.5×10⁻²¹.

Measured over one period

Period: 137.6823841
Masses: 1 : 1 : 0.75
Energy: -1.64759
Angular momentum: 0
Closest approach: 6.5×10⁻⁶
Top speed: 419.7
Path length: 339.73
Alignments per period: 272
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.5×10⁻²¹

Neighbours on the map

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