Atlas1,111 of 3,942

I.B.83

m₃ = 0.5

From Li & Liao (2017)

I.B.83 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 94.992 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 4.391), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00176 of each other at a top speed of 27.5, line up 168 times a period, and the computed loop closes to 3.3×10⁻²⁶.

Measured over one period

Period: 94.99206522
Masses: 1 : 1 : 0.5
Energy: -1.22734
Angular momentum: 0
Closest approach: 0.001760
Top speed: 27.54
Path length: 240.42
Alignments per period: 168
Topology: aabAbaBABabAbabABabAAbbABaaBAbbAABaBAbabAbaBABabAbabABaBAAbbABaaBAbbAAbaBAbabAbaBABabAbaaBBabAAbbABaaBAbbAAbaBB (free-group class)
Stability: weakly unstable (|λ|max 4.391)
Loop closure: 3.3×10⁻²⁶

Neighbours on the map

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