Atlas334 of 3,942

I.A.18

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.18 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 59.772 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 0.0000382 of each other at a top speed of 187, line up 66 times a period, and the computed loop closes to 1.3×10⁻²².

Measured over one period

Period: 59.77229195
Masses: 1 : 1 : 0.5
Energy: -0.887482
Angular momentum: 0
Closest approach: 3.8×10⁻⁵
Top speed: 186.8
Path length: 124.53
Alignments per period: 66
Topology: aabAbaBABaBAbaBBaaBAbbAABaBAbabAbaBAbbAAbaBB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻²²

Neighbours on the map

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