Atlas323 of 3,942

I.A.98

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.98 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 181.92 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 0.00000775 of each other at a top speed of 384, line up 322 times a period, and the computed loop closes to 3.2×10⁻²¹.

Measured over one period

Period: 181.9192923
Masses: 1 : 1 : 0.75
Energy: -1.53236
Angular momentum: 0
Closest approach: 7.8×10⁻⁶
Top speed: 383.9
Path length: 436.16
Alignments per period: 322
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.2×10⁻²¹

Neighbours on the map

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