deletions | additions       diff --git a/Many_Martian_landed_spacecraft_carry__.tex b/Many_Martian_landed_spacecraft_carry__.tex  index d7c0429..91aaaae 100644  --- a/Many_Martian_landed_spacecraft_carry__.tex  +++ b/Many_Martian_landed_spacecraft_carry__.tex 
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Although it is inherent in single-barometer surveys for dust devils, simple geometric considerations can mitigate the influence of the miss distance effect, allowing single-barometer surveys to be corrected. In particular, the physical parameters for dust devils estimated from the pressure time-series can be corrected for the miss distance effect, at least in a statistical sense. In this study, we consider the geometry of encounters between dust devils and barometers and present a statistical model for correcting the miss distance effect. This study is similar to and motivated by \citet{Lorenz_2014}, but, where that study used a numerical simulation to investigate biases in the recovered population of dust devil properties, we employ an analytic framework that allows wider applicability and provides more insight into the problem. As we discuss, though, our model involves some important assumptions and simplifications.  The plan of this paper is as follow: In Section \ref{sec:formulating_the_signal_distortions_and_recovery_biases}, we discuss the typical encounter geometry for a dust devil detection, how the geometry distorts and biases the recovered parameters, and how to convert from the observed to the underlying distribution of dust devil parameters. In Section \ref{sec:fitting_the_observed_distribution}, we apply our scheme to recent datasets for martian and terrestrial dust devils. Finally, in Section \ref{sec:discussion_and_conclusions}, we discuss some of the limitationsof our model, ways to improve it,  and future work. improvements for our model.