Chapman's model for ozone concentration: earth`s slowing rotation effect in the atmospheric past
Abstract
Chapman's model for ozone concentration is studied. In this nonlinear model, the photodissociation coefficients for $O_{2}$ and $O_{3}$ are timedepending due to earthrotation. From the Kapitsa's method, valid in the high frequency limit, we find the criterion for the existence of equilibrium solutions. These solutions are depending on the frequency, and require a rotation period $T$ which satisfies $T<T_{1}$ or $T>T_{2}$. Where the critical periods $T_{1}$ and $T_{2}$, with $T_{2}>T_{1}$, are a function of the parameters of the system (reaction rates and photodissociation coefficients). Conjectures respect to the retardation of the earth's rotation, due to friction, suggest that the criterion was not even verified in the atmospheric past.
 Publication:

arXiv eprints
 Pub Date:
 July 2000
 arXiv:
 arXiv:physics/0007032
 Bibcode:
 2000physics...7032F
 Keywords:

 Physics  Atmospheric and Oceanic Physics;
 Physics  Chemical Physics;
 Physics  Geophysics
 EPrint:
 12 pages