Atlas922 of 3,942

I.B.84

m₃ = 0.75

From Li & Liao (2017)

I.B.84 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 94.474 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 0.00000449 of each other at a top speed of 504, line up 224 times a period, and the computed loop closes to 7.3×10⁻¹⁷.

Measured over one period

Period: 94.47364966
Masses: 1 : 1 : 0.75
Energy: -1.86682
Angular momentum: 0
Closest approach: 4.5×10⁻⁶
Top speed: 504.3
Path length: 239.97
Alignments per period: 224
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.3×10⁻¹⁷

Neighbours on the map

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