Atlas1,177 of 3,915

I.B.101

m₃ = 0.5

From Li & Liao (2017)

I.B.101 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 170.16 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 6.492), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000463 of each other at a top speed of 53.7, line up 192 times a period, and the computed loop closes to 2.0×10⁻²⁴.

Measured over one period

Period: 170.1648226
Masses: 1 : 1 : 0.5
Energy: -0.924176
Angular momentum: 0
Closest approach: 4.6×10⁻⁴
Top speed: 53.66
Path length: 392.65
Alignments per period: 192
Stability: weakly unstable (|λ|max 6.492)
Loop closure: 2.0×10⁻²⁴

Neighbours on the map

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