Atlas1,159 of 3,942

I.B.143

m₃ = 0.5

From Li & Liao (2017)

I.B.143 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 150.29 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000149 of each other at a top speed of 94.5, line up 284 times a period, and the computed loop closes to 5.1×10⁻²³.

Measured over one period

Period: 150.2890501
Masses: 1 : 1 : 0.5
Energy: -1.28789
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 94.53
Path length: 389.96
Alignments per period: 284
Topology: aabAbaBABabAbaaBBabAAbaBBaabAbaBABabAbaaBBabAAbaBBaabAbaBABabAbaaBBabAAbaBBaabAbaBABabAbaaBBaBAAbbABaaBAbbAABaBAbabABaBAAbbABaaBAbbAABaBAbabABaBAAbbABaaBAbbAABaBAbabABaBAAbbABaaBAbbAABaBB (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 5.1×10⁻²³

Neighbours on the map

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