Atlas615 of 3,942

I.A.77

From Li, Jing & Liao (2018)

I.A.77 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 114.59 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 0.00123 of each other at a top speed of 28.5, line up 174 times a period, and the computed loop closes to 7.9×10⁻¹⁴.

Measured over one period

Period: 114.5883062
Masses: 1 : 1 : 1
Energy: -1.71298
Angular momentum: 0
Closest approach: 0.001230
Top speed: 28.52
Path length: 305.91
Alignments per period: 174
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.9×10⁻¹⁴

Neighbours on the map

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