Kerbin Temperature

[RocketSon4]

I've been trying to create a program that can simulate reentry in Kerbin's SOI. However, I cannot figure out the temperature of Kerbin's atmosphere. There is a graph of the temperature of Kerbin's atmosphere on the KSP Wiki https://wiki.kerbalspaceprogram.com/wiki/Kerbin I have been trying unsuccessfully to use. I also cannot figure out the method the wiki proposes. Does anyone have a set of equations that governs Kerbin's temperature? Right now, I am not including day night temperature fluctuations into this program. Thank you.

[Gargamel]

Iirc the atmospheric temperature was established arbitrarily and not algorithmically.  But there’s been a number of versions of this over the years so I’m not sure what the current version uses.   And I really don’t think night and day make a difference in the game.   
 

But the best way to get atmospheric data would be to generate your own.   Use the thermometer science part, slap it onto an aircraft or whatnot, and get sample readings every so often.     There are mods that can help you log the data into a csv or whatever.   
 

But, to be honest, I don’t see a real application for this.    Density will play a far greater influence on reentry temps than ambient temperature.   And KSP’s heat shields are so over powered that unless you’re coming in with interstellar-esque speeds, there’s not many scenarios that can’t be solved with some Oberths and gentle aero braking.     
 

But hey, you have your own reasons for asking, hopefully you’ll find the help you need.  

[RocketSon4]

I was going to use the temperature and pressure with the adiabatic index to find the density of the atmosphere because I did not find an equation in my research which governs density. Is there an equation which governs density? Also, to clarify, my program is not intended to determine heating on reentry. Instead, based on the craft's current orbit, my program will determine the best periapsis to change to for the least g-forces on reentry with a user defined amount of skip reentries.

[Royale37]

Use the thermometer science part and turn on temp display lol.