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\begin{document}

\title{An Iterative Mathematical Climate Model of the Atmosphere of Titan}



\author[1]{Philip Mulholland}%
\author[1]{Stephen Paul Rathbone Wilde}%
\affil[1]{Mulholland Geoscience}%


\vspace{-1em}



  
  \date{May 23, 2024}


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\begin{abstract}
Titan, the giant moon of the planet Saturn, is recognized to have
meteorological processes involving liquid methane that are analogous to
the water generated atmospheric dynamics of planet Earth. We propose
here that the climatic features of Titan by contrast are more akin to
those of the planet Venus, and that this structural similarity is a
direct result of the slow daily rotation rate of these two terrestrial
bodies. We present here a simple mathematical climate model based on
meteorological principles, and intended to be a replacement for the
standard radiation balance equation used in current studies of planetary
climate. The Dynamic-Atmosphere Energy-Transport climate model (DAET) is
designed to be applied to terrestrial bodies that have sufficient mass
and surface gravity to be able to retain a dense atmosphere under a
given solar radiation loading. All solar orbiting bodies have both an
illuminated hemisphere of net energy collection and a dark hemisphere of
net energy loss. The DAET model acknowledges the existence of these dual
day and nighttime radiation environments and uses a fully transparent
non-condensing atmosphere as the primary mechanism of energy storage and
transport in a metrological process that links the two hemispheres. The
DAET model has the following distinct advantages as a founding model of
climate: It can be applied to all terrestrial planets, including those
that are tidally locked. It is an atmospheric mass motion and energy
circulation process, and so is fully representative of a Hadley cell;
the observed fundamental meteorological process of a terrestrial
planet's climate. The diabatic form of the DAET model fully replicates
the traditional vacuum planet equation, and as it applies to a totally
transparent atmosphere it therefore demonstrates that thermal radiant
opacity, due to the presence of polyatomic molecular gases, is not a
fundamental requirement for atmospheric energy retention. For the
adiabatic form of the DAET model, where the turbulent asymmetric daytime
process of forced radiant convection applies, the intercepted solar
energy is preferentially retained by the ascending air. The adiabatic
DAET climate model shows that the atmospheric greenhouse effect of
surface thermal enhancement is a mass motion process, and that it is
completely independent of an atmosphere's thermal radiant opacity.%
\end{abstract}%



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Figure 5: Stable Adiabatic Model of Titan: Showing Energy Vectors and
Total Energy Distributions.

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