# How to derive wind variation equation in the planetary rotating atmosphere

In this picture is the equation of wind variation on rotating earth atmosphere. Does anyone know how to get this equation ? what is the basic idea ? Thank you

• Is there any way you can find a link to this so that people can read the whole thing?It would be helpful to know all the variables. How are the following defined? $q, A_{\omega}, \alpha, \delta, \omega_x, \omega_y$ It would be great to show that diagram at least. Thanks! – uhoh Oct 21 '19 at 9:07
• I second @uhoh's comment. We need more context to tell you what this is. On the first look, this looks like the rate of change of a position vector from a non-rotating into a rotating frame of reference. The second term on the right-hand side of the equations looks like the coriolis force, although in weird notation. So it would definetly help to clarify the notation. – AtmosphericPrisonEscape Oct 21 '19 at 11:21