planetary data and Ptolemy's model

planet

deferent radius(AU), Rd

epicycle
radius(AU), Rc

period of deferent

period of epicycle, Tc

radii ratio
my value
def/epi

radii ratio
Ptolemy
def/epi

Mercury

Jupiter

Saturn

Planetary Data and the Ptolemy's Model

planet	semi-major axis(AU), radii	sidereal period, Te & Tp (Tropical years)	PtolemyDeferent radius (arbitrary units)	Ptolemy epicycle radius (arbitrary units)
Mercury	0.3871	0.241	60	22.5
Venus	0.7233	0.615	60	43.16
Earth	1.000	1.000	***	***
Mars	1.5237	1.880	60	39.5
Jupiter	5.2028	11.862	60	11.5
Saturn	9.5388	29.458	60	6.5

Fill in the table below using the information from above (first three columns) which converts these heliocentric observations to a geocentric observation. Then in the last two columns compare your ratio of (deferent radius)/(epicycle radius) to that from Ptolemy's model.
Note that when you determine the period of the epicycle you will use the formula Tc = Te*Tp/|Te-Tp|

Rd = larger of re or rp
Rc = smaller of re or rp
wc = | wp - we| , the rate of rotation in the epicycle.
wd = rate of rotation of the larger circle in the heliocentric system. This is the rate of rotation of the deferent.