Atlas282 of 3,942

I.A.102

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.102 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 138.97 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 0.00000469 of each other at a top speed of 533, line up 230 times a period, and the computed loop closes to 9.5×10⁻¹⁷.

Measured over one period

Period: 138.9734918
Masses: 1 : 1 : 0.5
Energy: -1.13569
Angular momentum: 0
Closest approach: 4.7×10⁻⁶
Top speed: 533.4
Path length: 320.30
Alignments per period: 230
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.5×10⁻¹⁷

Neighbours on the map

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