Planetary Data System

PDS Information

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This bar indicates that you are within the PDS enterprise which includes 6 science discipline nodes and 2 support nodes which are overseen by the Project Management Office at NASA's Goddard Space Flight Center (GSFC). Each node is led by an expert in the subject discipline, supported by an advisory group of other practitioners of that discipline, and subject to selection and approval under a regular NASA Research Announcement.

Latitude: planeto-graphic and planeto-centric

Planeto-centric latitude, theta

theta

and the planeto-graphic latitude, phi

phi

beta

ident

R_eq/R_pl

theta

= tan^-1 [ tan( phi

phi

)/

beta

² ]

phi

= tan^-1 [ tan( theta

theta

) ·

beta

² ]

R(

theta

) = R_eq R_pl/ sqrt

sqrt

[R²_eq · sin²( theta

theta

) + R²_pl · cos²( theta

theta

)]

f = (R_eq - R_pl)/R_eq

e =

sqrt

[ R²_eq - R²_pl]/R_eq = sqrt

sqrt

[ 1 - (R_pl/R_eq)²]

S = total area = 2

· R²_eq +

(R²_pl/e) · log_e [ (1 + e)/(1 - e) ]

V = total volume = 4/3

R²_eq · Rpl
If e = 0 then

S = 4

· R_eq · R_eq

CRC Standard Mathematical Tables 26th edition, pg. 129. The volume of an oblate sphere is equal to a sphere with radius <R>.

<R> = (R²_eq · R_pl)^(1/3)

	R_eq Km	R_pl Km	R_eq/R_pl	f	e	<R> Km
Venus	6051.0	6051.0	1.000000	0.000000	0.000000	6051.00
Earth	6378.5	6356.0	1.003540	0.003527	0.083920	6370.99
Mars	3393.0	3375.0	1.005333	0.005305	0.102869	3386.99
Jupiter	71492.0	66854.0	1.069375	0.064874	0.354316	69911.33
Saturn	60268.0	54364.0	1.108601	0.097962	0.431658	58232.01
Uranus	25559.0	24973.0	1.023465	0.022927	0.212906	25362.16
Neptune	24820.0	24274.0	1.022493	0.021998	0.208597	24636.66
Titan	2575.0	2575.0	1.000000	0.000000	0.000000	2575.00