Atlas778 of 3,942

I.A.162

From Li, Jing & Liao (2018)

I.A.162 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 185.87 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 2.537), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000241 of each other at a top speed of 64.5, line up 210 times a period, and the computed loop closes to 1.9×10⁻²⁴.

Measured over one period

Period: 185.8736776
Masses: 1 : 1 : 1
Energy: -1.44179
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 64.46
Path length: 476.13
Alignments per period: 210
Topology: aaBAbaBAbaBBabABabAAbaBAbaBAbbABabABaaBAbaBAbbABabABabAAbaBAbaBBabABabAAbaBAbaBAbbABabABaaBAbaBAbaBBabABabAAbaBAbaBBabABabABaaBAbaBAbbABabAB (free-group class)
Stability: weakly unstable (|λ|max 2.537)
Loop closure: 1.9×10⁻²⁴

Neighbours on the map

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