Atlas425 of 3,942

I.A.101

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.101 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 153.93 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 1.031), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000218 of each other at a top speed of 229, line up 350 times a period, and the computed loop closes to 9.7×10⁻²².

Measured over one period

Period: 153.9336180
Masses: 1 : 1 : 0.75
Energy: -1.82912
Angular momentum: 0
Closest approach: 2.2×10⁻⁵
Top speed: 229.2
Path length: 406.47
Alignments per period: 350
Topology: ababAbabaBABabABABabABAbabaBababABAbaBABAbaBABabaBAbabaBABabABABabABAbabABababABabaBABAbaBABabaBAbabaBAbabABABaBABAbabABababABabaBABAbABABabaBAbabaBAbabABAbaBABAbabABababABabaBABabABABabABAbabaBAbabABAbaBABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.031)
Loop closure: 9.7×10⁻²²

Neighbours on the map

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