Atlas819 of 3,915

I.B.70

m₃ = 0.75

From Li & Liao (2017)

I.B.70 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 105.49 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 0.0000327 of each other at a top speed of 187, line up 184 times a period, and the computed loop closes to 2.0×10⁻¹⁶.

Measured over one period

Period: 105.4909744
Masses: 1 : 1 : 0.75
Energy: -1.51996
Angular momentum: 0
Closest approach: 3.3×10⁻⁵
Top speed: 187.0
Path length: 254.34
Alignments per period: 184
Stability: stable (|λ|max 1.000)
Loop closure: 2.0×10⁻¹⁶

Neighbours on the map

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