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Jason W. Barnes Assistant Professor of Physics University of Idaho. Variations in Earth's Axis Tilt over Time: How Necessary is a Moon for Climatic Stability?. Earth's Obliquity. Obliquity Drives Seasons. Average Yearly Flux changes as a function of Obliquity. How Can Obliquity Change?.
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Jason W. Barnes Assistant Professor of Physics University of Idaho Variations in Earth's Axis Tilt over Time:How Necessary is a Moon for Climatic Stability?
How Can Obliquity Change? oblateness
Obliquity Changes on Real Earth Varies on ~41,000 year timescales
Planetary Obliquities are Chaotic • Frequency map analysis gives chaotic region for Earth w/o Moon, 0º - 85º. For Mars, 0º - 60º (Laskar & Robutel 1993). • Uncertainties grow exponentially with time in chaotic zone.
Did Mars Ever Really Have Such a High Obliquity? Pavonis Mons
What might the obliquity evolution of a Moonless Earth be like?Timescales
What might the obliquity evolution of a Moonless Earth be like?Changing Axis Angle
Conclusions • Astronomers call rotational axis tilt ‘obliquity’ • Angle between angular momentum vectors of rotation & orbit • Rotation axis and orbit both precess • When precessions are of commensurate periods, chaos ensues • Current prevailing conventional wisdom is that moon is necessary for obliquity & climatic stability • Assumes solar system • Assumes Earth’s present rotation & obliquity • We use explicit, brute-force numerical integrations to explore the obliquity evolution of Moonless Earths • Typical integrations show variations +/- 10 degrees – survivable. • Some show the predicted large excursions • Retrograde rotators are totally stable • Conclusion: Moons are NOT necessary for climatic stability. They help in some cases, and hurt in others. Need to know full system parameters. • Greatly increases estimates for number of habitable worlds in galaxy