Atlas737 of 3,942

I.A.151

From Li, Jing & Liao (2018)

I.A.151 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 127.41 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 9.506), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00886 of each other at a top speed of 10.6, line up 126 times a period, and the computed loop closes to 2.2×10⁻²⁵.

Measured over one period

Period: 127.4097756
Masses: 1 : 1 : 1
Energy: -1.31336
Angular momentum: 0
Closest approach: 0.008865
Top speed: 10.62
Path length: 316.30
Alignments per period: 126
Topology: abaBAbabABabABAbaBAbabABabABAbaBAbabABabABAbaBABabABabaBAbaBABabABabaBAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 9.506)
Loop closure: 2.2×10⁻²⁵

Neighbours on the map

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