Atlas618 of 3,915

I.A.65

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.65 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 129.68 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 6.284), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000623 of each other at a top speed of 46.3, line up 150 times a period, and the computed loop closes to 8.8×10⁻²⁵.

Measured over one period

Period: 129.6770893
Masses: 1 : 1 : 0.5
Energy: -0.936134
Angular momentum: 0
Closest approach: 6.2×10⁻⁴
Top speed: 46.25
Path length: 299.81
Alignments per period: 150
Stability: weakly unstable (|λ|max 6.284)
Loop closure: 8.8×10⁻²⁵

Neighbours on the map

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