Atlas818 of 3,942

I.B.100

m₃ = 0.75

From Li & Liao (2017)

I.B.100 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 171.76 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.089), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000103 of each other at a top speed of 105, line up 264 times a period, and the computed loop closes to 3.1×10⁻¹⁷.

Measured over one period

Period: 171.7557976
Masses: 1 : 1 : 0.75
Energy: -1.39807
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 105.4
Path length: 397.68
Alignments per period: 264
Topology: ababABababABAbaBABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABABabABAbabaBAbabaBABabABABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.089)
Loop closure: 3.1×10⁻¹⁷

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.