GGR 423 Equation Sheet

Spring 1997




Platforms



where:

To = orbital period, sec

Rp = planet radius, km (about 6380 km for earth)

H' = orbit altitude (above planet's surface), km

gs = gravitational acceleration at planet's surface (.00981 km/sec2 for earth)

where: N = # different color composites,

n = # of single-band images available

3 = # of color assignments (blue, green, and red), and

! = factorial







Thermal Infrared

where: E = spectral emission in W/m2 m at a wavelength ,

= wavelength in m,

C1 = 3.74 X 10-6 Wm2 (first radiation constant) ,

C2 = 1.44 X 10-2 mK (second radiation constant),

e = 2.718 (base of natural logarithms), and

T = absolute temperature (K).

where: Ebb = radiant emittance from a blackbody in W/m2,

= 5.67 X 10-8 W/m2K-4 (Stefan-Boltzmann constant), and

T = absolute temperature (K).



where: W = 2,897 mK (Wiens constant), and

T = absolute temperature (K)



where: C = thermal storage

= density

and c = thermal capacity



where: k = thermal diffusivity

and K = thermal conductivity



where: P = thermal inertia