Atlas412 of 3,942

I.A.97

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.97 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 192.37 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000271 of each other at a top speed of 205, line up 310 times a period, and the computed loop closes to 9.7×10⁻²³.

Measured over one period

Period: 192.3672015
Masses: 1 : 1 : 0.75
Energy: -1.45453
Angular momentum: 0
Closest approach: 2.7×10⁻⁵
Top speed: 205.2
Path length: 472.06
Alignments per period: 310
Topology: abaBAbabABAbabABAbabABabaBABabaBABabaBABabABAbabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbabABAbaBABabaBABabaBABabABAbabABAbabABAbabABabaBABabaBABabaBABabABAbabABAbabABAbaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.7×10⁻²³

Neighbours on the map

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