Atlas2,004 of 3,942

II.C.135

m₃ = 0.75

From Li & Liao (2017)

II.C.135 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 131.29 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 0.00000272 of each other at a top speed of 649, line up 226 times a period, and the computed loop closes to 5.1×10⁻²¹.

Measured over one period

Period: 131.2899349
Masses: 1 : 1 : 0.75
Energy: -1.49863
Angular momentum: 0
Closest approach: 2.7×10⁻⁶
Top speed: 648.6
Path length: 302.64
Alignments per period: 226
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.1×10⁻²¹

Neighbours on the map

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