Equation for predicting contrail formation

Question

I am working on a data visualisation of airline flight paths and their probability of forming contrails.

Given weather data for a specific area (location, time, temperature, pressure and humidity) and aircraft data (location, time, altitude, speed and engine efficiency)

Is there an equation that will give me a rough estimate of the probability contrails will form at this point?

Answer 1

Schmidt-Appleman criterion (SAC) is used to model contrail formation. I advise reading in full Ulrich Schumann's article "A contrail cirrus prediction model" (http://www.geosci-model-dev.net/5/543/2012/gmd-5-543-2012.pdf) to get all the relevant formulae and literature references.

_{While it is possible to transcribe the formulae here, the reference cited does a better job of presenting state of the art (2012).}