Atlas1,840 of 3,915

II.C.84

m₃ = 0.75

From Li & Liao (2017)

II.C.84 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 51.532 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 284.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00104 of each other at a top speed of 33, line up 124 times a period, and the computed loop closes to 8.8×10⁻²⁵.

Measured over one period

Period: 51.53176220
Masses: 1 : 1 : 0.75
Energy: -1.91219
Angular momentum: 0
Closest approach: 0.001043
Top speed: 32.95
Path length: 145.48
Alignments per period: 124
Stability: unstable (|λ|max 284.6)
Loop closure: 8.8×10⁻²⁵

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.