Atlas434 of 3,915

I.A.2

m₃ = 5

From Li, Jing & Liao (2018)

I.A.2 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 87.301 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 1.004), so a small nudge only makes it wobble. The bodies pass within 0.0000753 of each other at a top speed of 333, line up 318 times a period, and the computed loop closes to 2.0×10⁻²⁴.

Measured over one period

Period: 87.30085181
Masses: 1 : 1 : 5
Energy: -9.11155
Angular momentum: 0
Closest approach: 7.5×10⁻⁵
Top speed: 332.6
Path length: 379.58
Alignments per period: 318
Stability: stable (|λ|max 1.004)
Loop closure: 2.0×10⁻²⁴

Neighbours on the map

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