Atlas766 of 3,942

I.A.71

From Li, Jing & Liao (2018)

I.A.71 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 134.17 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 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000302 of each other at a top speed of 57.5, line up 150 times a period, and the computed loop closes to 6.6×10⁻²⁵.

Measured over one period

Period: 134.1667723
Masses: 1 : 1 : 1
Energy: -1.43167
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 57.50
Path length: 341.01
Alignments per period: 150
Topology: aaBAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBAbbABabABaaBAbaBAbbABabABaaBAbaBAbbABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 6.6×10⁻²⁵

Neighbours on the map

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