Atlas825 of 3,942

I.B.62

m₃ = 0.75

From Li & Liao (2017)

I.B.62 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 94.192 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000557 of each other at a top speed of 453, line up 172 times a period, and the computed loop closes to 7.3×10⁻¹⁹.

Measured over one period

Period: 94.19184857
Masses: 1 : 1 : 0.75
Energy: -1.55897
Angular momentum: 0
Closest approach: 5.6×10⁻⁶
Top speed: 452.9
Path length: 221.96
Alignments per period: 172
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.3×10⁻¹⁹

Neighbours on the map

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