Atlas784 of 3,915

I.B.145

m₃ = 0.5

From Li & Liao (2017)

I.B.145 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 193.35 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 0.00000636 of each other at a top speed of 458, line up 312 times a period, and the computed loop closes to 7.0×10⁻²¹.

Measured over one period

Period: 193.3516823
Masses: 1 : 1 : 0.5
Energy: -1.12119
Angular momentum: 0
Closest approach: 6.4×10⁻⁶
Top speed: 458.0
Path length: 449.85
Alignments per period: 312
Stability: stable (|λ|max 1.000)
Loop closure: 7.0×10⁻²¹

Neighbours on the map

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