Atlas535 of 3,915

I.A.70

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.70 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 110.75 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 4.853), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000922 of each other at a top speed of 38, line up 158 times a period, and the computed loop closes to 3.4×10⁻²⁵.

Measured over one period

Period: 110.7531533
Masses: 1 : 1 : 0.5
Energy: -1.06783
Angular momentum: 0
Closest approach: 9.2×10⁻⁴
Top speed: 38.02
Path length: 270.37
Alignments per period: 158
Stability: weakly unstable (|λ|max 4.853)
Loop closure: 3.4×10⁻²⁵

Neighbours on the map

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