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Pressure Variation in Planetary Atmosphere

  1. Jan 14, 2010 #1
    1. Show that the variation of pressure with altitude for a planetary atmosphere (assuming constant temperature) is more accurately given by: p = poek(1/r-1/R), where g is taken to vary as 1/r2 (with r being the distance from the centre of the planet), po is the pressure at the surface, R is the radius of the planet, and k is a constant.

    lower case p = pressure
    upper case P = density

    2. P/Po = p/po
    dP/dy = -pg

    3. dP/P = -g(po/Po)dy
  2. jcsd
  3. Jan 14, 2010 #2
    g = k/r^2 and since both dy and dr represent a change in height dr = dy
  4. Jan 15, 2010 #3
    Thank you, makes sense.
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