I study the book of A.BOISSON called l'aerodynamic du vol de l'avion (french book). In this book, At the end of the first chapter you have to follow the demonstration of the error margin between the altitude given by the at mosphere standard and the real altitude in the real athmosphere according to the temperature. This is the demonstration: So I understand that dp/p=-gdZ/RT(0)+aZ no problem but the next line I can't understand why they use the logarithme ? Someone can explain me ?
Je ne parle pas francais Therefore I don't understand the context of the question. The formulas I'm familiar with which appear to correlate with your image are the equation for static equilibrium dp = -rgdz Ideal gas law p= rRT The atmospheric temperature gradient dT/dz I'm not familiar with Laplace's equation, typically the relationship between the temperature and pressure of the atmosphere during adiabatic expansion is expressed in Poisson's equation. I'm of no help to you as my atmospheric studies are rusty. I wouldn't think too many people on a political oriented website would be able to answer your question either. I would try a physics forum, or more specifically atmospheric science. Au revoir
Yes, I was surprise to see a topic in science so I tried. I will see the Poissnon's equation. If I succed in my resolving I will inform you quickly ! Thank to you !