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Clmate Modeling

Clmate Modeling. In-Class Discussion: Constraints on Dynamic Fluxes. Dynamic Regimes of Planets. Venus ~ III Earth ~ II, III Mars ~ I, II Jupiter ~ I. Is there a physical reason for the transition from inner to outer planets? FOCUS HERE: Jupiter. Max Flux vs. D: North ’ s Model.

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Clmate Modeling

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  1. Clmate Modeling In-Class Discussion: Constraints on Dynamic Fluxes

  2. Dynamic Regimes of Planets Venus ~ III Earth ~ II, III Mars ~ I, II Jupiter ~ I Is there a physical reason for the transition from inner to outer planets? FOCUS HERE: Jupiter

  3. Max Flux vs. D: North’s Model III I II (Stone, 1978) Regime 1 => Relatively weak dynamic flux Other energy terms in near equilibrium at all latitudes.

  4. Recall from Lecture 15:Series Representations Represent Q, albedo and I by series in Pn(x) Asuume hemispheric symmetry (e.g., annual average) Note: I is scaled by Qo, so that in is non-dimensional, as is an and Sn. Use Then (Equation is non-dimensional)

  5. Observed Series Representations~ For Earth ~ Stone (1978), using Ellis & Vonder Haar (1976) data: • n=0 n=2 n=4 • Sn 1 - 0.473 - 0.086 • an 0.675 - 0.192 - 0.057 • in 0.687 - 0.165 - 0.032 • n=4 values < 10% of n=0 values - rapid convergence • overall accuracy (obs. and fit) is ~ 10% a0 + a2S2/5 - i2 = 0.693 - 0.687 = 0.006 (Hemispheric equilibrium, within observational accuracy)

  6. What might we expect for Jupiter?Why? n=0 n=2 n=4 n=6…? Sn 1 - 0.473 (?) - 0.086 (?) ?? an - - - ?? in - - - ?? • What makes Jupiter different from Earth?

  7. Structure in Jupiter's Atmosphere n=0 n=2 n=4 n=6…? Sn 1 - 0.473(?) - 0.086(?) ?? an - - - ?? in - - - ?? What makes Jupiter different from Earth? axial tilt ~ 3˚ … … (pds.jpl.nasa.gov)

  8. Flux for Jupiter? Does It Matter? Represent Q, albedo and I by series in Pn(x) Asuume hemispheric symmetry (e.g., annual average) Note: I is scaled by Qo, so that in is non-dimensional, as is an and Sn. Use Then (Equation is non-dimensional)

  9. Dynamic Regimes of Planets Venus ~ III Earth ~ II, III Mars ~ I, II Jupiter ~ I Is there a physical reason for the transition from inner to outer planets? FOCUS NOW: Venus

  10. Dynamics Range III: D >> 1 • For D >> 1, dynamics are super-efficient: • Temp gradients wiped out quickly, so • T2 and hence i2  0 • Then F determined entirely by geometry of differential solar heating F transports heat to balance differences between solar heating and infrared cooling to space.

  11. Dynamics Range III: D >> 1 • For D >> 1, dynamics are super-efficient: • Temp gradients wiped out quickly, so • T2 and hence i2  0 • Then F determined entirely by geometry of differential solar heating What makes Venus different from Earth? axial tilt ~ 3˚ … … (www.solarviews.com)

  12. In-Class Discussion~ End ~

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