Atlas1,175 of 3,915

I.B.102

m₃ = 0.5

From Li & Liao (2017)

I.B.102 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 146.55 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 13.61), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00024 of each other at a top speed of 74.6, line up 192 times a period, and the computed loop closes to 2.6×10⁻²⁴.

Measured over one period

Period: 146.5524883
Masses: 1 : 1 : 0.5
Energy: -1.02095
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 74.57
Path length: 355.42
Alignments per period: 192
Stability: unstable (|λ|max 13.61)
Loop closure: 2.6×10⁻²⁴

Neighbours on the map

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