Atlas697 of 3,915

I.A.50

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.50 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 131.74 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 unstable (largest Floquet multiplier 11.74), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000952 of each other at a top speed of 37.4, line up 114 times a period, and the computed loop closes to 3.0×10⁻²⁵.

Measured over one period

Period: 131.7357122
Masses: 1 : 1 : 0.5
Energy: -0.849020
Angular momentum: 0
Closest approach: 9.5×10⁻⁴
Top speed: 37.42
Path length: 306.63
Alignments per period: 114
Stability: unstable (|λ|max 11.74)
Loop closure: 3.0×10⁻²⁵

Neighbours on the map

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