Atlas313 of 3,942

I.A.133

From Li, Jing & Liao (2018)

I.A.133 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 141.32 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 2.544), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000584 of each other at a top speed of 414, line up 302 times a period, and the computed loop closes to 1.3×10⁻²⁰.

Measured over one period

Period: 141.3166710
Masses: 1 : 1 : 1
Energy: -2.09509
Angular momentum: 0
Closest approach: 5.8×10⁻⁶
Top speed: 413.8
Path length: 360.10
Alignments per period: 302
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 2.544)
Loop closure: 1.3×10⁻²⁰

Neighbours on the map

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