The fourth one in order is the yearly revolution which includes the earth with the moon's orbit as an epicycle.
"A History of Science, Volume 2(of 5)" by Henry Smith Williams
In both classes, the action involves the use of some sort of epicyclic train, since the motions to be explained are both orbital and axial.
"Scientific American Supplement, No. 447, July 26, 1884" by Various
The theories of eccentrics and epicycles accomplished the end of explaining all the known phenomena.
"Beacon Lights of History, Volume III" by John Lord
Cycle and epicycle, orb in orb.
"Familiar Quotations" by Various
The moons, of those solar planets which have them, represent the epi-epicyclical orbits of the Ptolemaic theory.
"Harper's New Monthly Magazine, Vol. 3, July, 1851" by Various
Motion still supposed to be in epicycles.
"Pioneers of Science" by Oliver Lodge
Epicycles and eccentrics, Hipparchus's theory of, i.
"History of the Intellectual Development of Europe, Volume II (of 2)" by John William Draper
They even supposed the moon to have one, perhaps two epicycles and we shall find this notion reflected in Chaucer.
"Astronomical Lore in Chaucer" by Florence M. Grimm
To help out of this difficulty, the worst possible mechanical scheme was invented, that known as the epicycle.
"Astronomy" by David Todd
Hang early plummets upon the heels of Pride, and let Ambition have but an Epicycle and narrow circuit in thee.
"The Works of Sir Thomas Browne" by Thomas Browne
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Fig. 5.— Radial epicyclic frequency κr as a function of radius for a black hole of spin a = 0.4M and for several values of the parameter ǫ.
Testing the No-Hair Theorem with Observations in the Electromagnetic Spectrum. III. Quasi-Periodic Variability
Zeros of the radial epicyclic frequency correspond to marginally stable orbits.
Testing the No-Hair Theorem with Observations in the Electromagnetic Spectrum. III. Quasi-Periodic Variability
Stability would be a ﬂuid element that oscillates at the local epicyclic frequency.
Foundations of Black Hole Accretion Disk Theory
In the slender-torus limit, one can write down analytic expressions for a few of the lowest order modes besides just the radial and vertical epicyclic ones.
Foundations of Black Hole Accretion Disk Theory
Here y = (z/H )[γg /(γg − 1)]1/2 is the re-scaled vertical coordinate, γg is the adiabatic index, ˜ω(r) = ωr /ωθ is the ratio of the epicyclic frequencies from Section 2.3, Ψ is the eigenvalue of the (WKB) separation function, and g = (P /Pc )/(ρ/ρc ), where Pc and ρc are the midplane values.
Foundations of Black Hole Accretion Disk Theory
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