Atlas941 of 3,915

I.B.62

m₃ = 0.5

From Li & Liao (2017)

I.B.62 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 92.5 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 0.000162 of each other at a top speed of 90.8, line up 136 times a period, and the computed loop closes to 1.1×10⁻²⁴.

Measured over one period

Period: 92.49991753
Masses: 1 : 1 : 0.5
Energy: -1.06852
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 90.81
Path length: 218.37
Alignments per period: 136
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻²⁴

Neighbours on the map

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