Atlas292 of 3,915

I.A.85

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.85 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 124.44 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 2.454), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00026 of each other at a top speed of 71.6, line up 190 times a period, and the computed loop closes to 8.2×10⁻²⁴.

Measured over one period

Period: 124.4362825
Masses: 1 : 1 : 0.5
Energy: -1.08622
Angular momentum: 0
Closest approach: 2.6×10⁻⁴
Top speed: 71.57
Path length: 289.59
Alignments per period: 190
Stability: weakly unstable (|λ|max 2.454)
Loop closure: 8.2×10⁻²⁴

Neighbours on the map

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