Atlas465 of 3,915

I.A.74

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.74 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 94.45 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 5.125), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000107 of each other at a top speed of 354, line up 162 times a period, and the computed loop closes to 1.6×10⁻¹⁶.

Measured over one period

Period: 94.44964913
Masses: 1 : 1 : 0.5
Energy: -1.18961
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 353.7
Path length: 233.38
Alignments per period: 162
Stability: weakly unstable (|λ|max 5.125)
Loop closure: 1.6×10⁻¹⁶

Neighbours on the map

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