Atlas1,205 of 3,942

I.B.10

m₃ = 0.5

From Li & Liao (2017)

I.B.10 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 14.524 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 64.22), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00204 of each other at a top speed of 25.5, line up 32 times a period, and the computed loop closes to 5.4×10⁻²⁶.

Measured over one period

Period: 14.52425610
Masses: 1 : 1 : 0.5
Energy: -1.43475
Angular momentum: 0
Closest approach: 0.002040
Top speed: 25.51
Path length: 39.023
Alignments per period: 32
Topology: aabAbaaBBaBAAbbAABaBB (free-group class)
Stability: unstable (|λ|max 64.22)
Loop closure: 5.4×10⁻²⁶

Neighbours on the map

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