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Milankovitch Cycle Evolution and Uncertainty. Dave Waltham. Outline. C roll-Milankovitch cycles Application to c yclostratigraphy Earth-Moon system evolution The time-varying drag problem Time-evolution of CM cycles and their (big) uncertainties Beware!. Croll-Milankovitch Cycles.
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Milankovitch Cycle Evolution and Uncertainty Dave Waltham
Outline • Croll-Milankovitch cycles • Application to cyclostratigraphy • Earth-Moon system evolution • The time-varying drag problem • Time-evolution of CM cycles and their (big) uncertainties • Beware!
Cyclostratigraphy Wu et al, 2013. Time-calibrated Milankovitch cycles for the late Permian, Nature Communications
Earth-Moon System Evolution da/dt = fa-5.5
Time Varying Drag f= 2.01±0.03 x 1038 m6.5 s-1
Time-Varying Drag Don Dixon f= 6.85±0.08 x 1037 m6.5 s-1 = (0.344±0.004) f0
Time-Varying Drag • Stochastic Variation • Log-normal variation • f = exp( m + s 2/2 ) • Secular Increase • Resonance in oceans is predicted to peak when day length ~ 27 hours (Webb, 1982)
Time-Varying Drag • Stochastic variation • Monte-Carlo Simulation • Secular increase • Exponential approximation
Time-Varying Drag • Geological Constraints • Tidal Rhythmites • Only really good ones are from Elatina/Reynella(Williams, 1989, 2000; Deubner, 1990) • 620±20 Ma • f = (0.51±0.02) f0