Atlas459 of 3,915

I.A.78

From Li, Jing & Liao (2018)

I.A.78 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 103.96 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 0.000165 of each other at a top speed of 77.8, line up 178 times a period, and the computed loop closes to 2.2×10⁻²⁴.

Measured over one period

Period: 103.9566167
Masses: 1 : 1 : 1
Energy: -1.83521
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 77.83
Path length: 274.78
Alignments per period: 178
Stability: stable (|λ|max 1.000)
Loop closure: 2.2×10⁻²⁴

Neighbours on the map

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