Atlas477 of 3,942

I.A.144

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.144 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 183.7 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 0.0000472 of each other at a top speed of 168, line up 342 times a period, and the computed loop closes to 4.5×10⁻²³.

Measured over one period

Period: 183.7049132
Masses: 1 : 1 : 0.5
Energy: -1.25642
Angular momentum: 0
Closest approach: 4.7×10⁻⁵
Top speed: 168.0
Path length: 463.32
Alignments per period: 342
Topology: aabAbaBABaBAbabAbaBABaBAbabAbaBABaBAbabAbaBABaBAbabAbaBAbaBAbaBAbbAAbaBBaaBAbbAAbaBBaaBAbbAAbaBBaaBAbbAAbaBBaaBAbbAABaBAbabAbaBABaBAbabAbaBABaBAbabAbaBABaBAbabAbaBABaBAbaBAbaBAbaBBaaBAbbAAbaBBaaBAbbAAbaBBaaBAbbAAbaBBaaBAbbAAbaBB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.5×10⁻²³

Neighbours on the map

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