Atlas320 of 3,942

I.A.82

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.82 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 122.9 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 1.002), so a small nudge only makes it wobble. The bodies pass within 0.00000175 of each other at a top speed of 808, line up 262 times a period, and the computed loop closes to 4.5×10⁻²¹.

Measured over one period

Period: 122.9004467
Masses: 1 : 1 : 0.75
Energy: -1.73310
Angular momentum: 0
Closest approach: 1.8×10⁻⁶
Top speed: 807.5
Path length: 308.37
Alignments per period: 262
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.002)
Loop closure: 4.5×10⁻²¹

Neighbours on the map

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