Atlas620 of 3,915

I.A.77

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.77 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 130.07 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000148 of each other at a top speed of 95, line up 162 times a period, and the computed loop closes to 8.5×10⁻²⁴.

Measured over one period

Period: 130.0686379
Masses: 1 : 1 : 0.5
Energy: -0.981846
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 94.99
Path length: 307.31
Alignments per period: 162
Stability: stable (|λ|max 1.000)
Loop closure: 8.5×10⁻²⁴

Neighbours on the map

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