Atlas1,143 of 3,942

I.B.95

m₃ = 0.5

From Li & Liao (2017)

I.B.95 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 90.656 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 197.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000432 of each other at a top speed of 55.5, line up 188 times a period, and the computed loop closes to 2.1×10⁻²⁴.

Measured over one period

Period: 90.65587754
Masses: 1 : 1 : 0.5
Energy: -1.35483
Angular momentum: 0
Closest approach: 4.3×10⁻⁴
Top speed: 55.49
Path length: 238.62
Alignments per period: 188
Topology: aabAbaBABaBAbaBAbaBAbaBABaBAbabABaBABabABabABabABaBABabAbaaBBaBAAbbABaaBBabABabABabABaaBBabAAbaBBaaBAbaBAbaBAbaBBaaBAbbAABaBB (free-group class)
Stability: unstable (|λ|max 197.4)
Loop closure: 2.1×10⁻²⁴

Neighbours on the map

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