Atlas776 of 3,915

I.A.95

From Li, Jing & Liao (2018)

I.A.95 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 199.43 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 65.12), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000527 of each other at a top speed of 43.6, line up 190 times a period, and the computed loop closes to 2.7×10⁻²⁴.

Measured over one period

Period: 199.4325295
Masses: 1 : 1 : 1
Energy: -1.28761
Angular momentum: 0
Closest approach: 5.3×10⁻⁴
Top speed: 43.56
Path length: 503.16
Alignments per period: 190
Stability: unstable (|λ|max 65.12)
Loop closure: 2.7×10⁻²⁴

Neighbours on the map

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