Atlas897 of 3,915

I.B.40

m₃ = 0.75

From Li & Liao (2017)

I.B.40 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 81.48 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 0.000186 of each other at a top speed of 78.3, line up 128 times a period, and the computed loop closes to 5.1×10⁻²⁴.

Measured over one period

Period: 81.47975948
Masses: 1 : 1 : 0.75
Energy: -1.43403
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 78.30
Path length: 200.55
Alignments per period: 128
Stability: stable (|λ|max 1.000)
Loop closure: 5.1×10⁻²⁴

Neighbours on the map

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