Atlas925 of 3,942

I.B.95

m₃ = 0.75

From Li & Liao (2017)

I.B.95 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 105.71 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000942 of each other at a top speed of 348, line up 256 times a period, and the computed loop closes to 1.3×10⁻²⁰.

Measured over one period

Period: 105.7114373
Masses: 1 : 1 : 0.75
Energy: -1.89983
Angular momentum: 0
Closest approach: 9.4×10⁻⁶
Top speed: 348.4
Path length: 279.92
Alignments per period: 256
Topology: ababABabaBABabaBABabaBAbabaBABabABABabaBAbabaBABabABABabABAbabaBAbabABABabABAbabaBAbabABAbabABAbabABababABAbaBABAbabABababABAbaBABAbaBABababABabaBABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻²⁰

Neighbours on the map

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