Atlas404 of 3,942

I.A.94

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.94 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 155.44 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is weakly unstable (largest Floquet multiplier 1.115), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000304 of each other at a top speed of 61.3, line up 306 times a period, and the computed loop closes to 3.4×10⁻²⁴.

Measured over one period

Period: 155.4447268
Masses: 1 : 1 : 0.75
Energy: -1.65374
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 61.34
Path length: 395.02
Alignments per period: 306
Topology: ababABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabABABabaBAbabaBAbabABABabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABababABAbaBABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.115)
Loop closure: 3.4×10⁻²⁴

Neighbours on the map

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