Atlas2,132 of 3,942

II.C.154

m₃ = 0.75

From Li & Liao (2017)

II.C.154 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 152.56 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 0.0000436 of each other at a top speed of 162, line up 288 times a period, and the computed loop closes to 3.7×10⁻²³.

Measured over one period

Period: 152.5558687
Masses: 1 : 1 : 0.75
Energy: -1.60125
Angular momentum: 0
Closest approach: 4.4×10⁻⁵
Top speed: 161.9
Path length: 375.71
Alignments per period: 288
Topology: ababABababABAbabABAbabABAbabABAbabABAbabABAbabaBABabABABabaBABabaBABabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabABAbabABAbabABABabABAbabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.7×10⁻²³

Neighbours on the map

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