Atlas1,158 of 3,942

I.B.63

m₃ = 0.5

From Li & Liao (2017)

I.B.63 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 69.593 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 0.000179 of each other at a top speed of 86.1, line up 132 times a period, and the computed loop closes to 3.7×10⁻²⁴.

Measured over one period

Period: 69.59332645
Masses: 1 : 1 : 0.5
Energy: -1.28964
Angular momentum: 0
Closest approach: 1.8×10⁻⁴
Top speed: 86.14
Path length: 180.50
Alignments per period: 132
Topology: aabAbaBABabAbaaBBabAAbaBBaabAbaBABabAbaaBBaBAAbbABaaBAbbAABaBAbabABaBAAbbABaaBAbbAABaBB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.7×10⁻²⁴

Neighbours on the map

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