International Standard Atmosphere - part 2 - Equations/Math

This is the second video in the International Standard Atmosphere mini-series. We derive the equations for the ISA, starting from fundamentals (ideal gas and hydrostatics), and learning the basics of sympy, a computer algebra system (CAS) package, to integrate a couple equations . ______Useful Links______ next episode: https://youtu.be/TZJ3B89REHw previous episode: https://youtu.be/79wntFb6wkc Flight Test Channel Github / ISA https://github.com/flight-test-engineering/PEC/tree/main/ISA USAF TPS Textbook https://ntrl.ntis.gov/NTRL/dashboard/searchResults/titleDetail/ADA170957.xhtml Society of Flight Test Engineers http://sfte.org/ http://sfte-ec.org/ JupyterLab https://github.com/jupyterlab/jupyterlab Rob’s Jupyterlab tutorial https://www.youtube.com/watch?v=5pf0_bpNbkw Python Basics https://pythonprogramming.net/python-fundamental-tutorials/ https://www.youtube.com/playlist?list=PLQVvvaa0QuDeAams7fkdcwOGBpGdHpXln Sympy tutorial - Mr P Solver https://www.youtube.com/watch?v=1yBPEPhq54M ______Video Contents______ 00:00 - Intro 00:48 - Differential Equation of State/Hydrostatic 02:35 - Variation of gravity with altitude 04:17 - Geopotential height 05:01 - Sympy basics 11:40 - Geopotential vs tapeline numbers 12:55 - Plot of geopotential vs tapeline heights 15:15 - Hydrostatic Eq with geopotential height 15:30 - Troposphere 17:46 - Sea level values and ISA 18:15 - delta - pressure ratio 19:08 - sigma - density ratio 19:48 - theta - temperature ratio 20:05 - Stratosphere 20:38 - Inverse equations