Recent content by _Stew_

I used the word “but” to indicate I was talking about something conflicting with that statement. The reason I suspected that the orbital velocity of the L1 body around Earth was zero is a bit harder to explain. Which is why I didn’t put it in, but I will now. When trying to find Lagrange point...

When considering the Lagrange point 1 in the Sun/Earth system, Does Lagrange Point 1 have any orbital velocity around Earth? I suspect a body at L1 has no orbital velocity around earth. But consider the Earth's position 6months later when it is opposite the sun. The Lagrange point would also...

I have a tutorial question for maths involving the heat equation and Fourier transform. {\frac{∂u}{∂t}} = {\frac{∂^2u}{∂x^2}} you are given the initial condition: u(x,0) = 70e^{-{\frac{1}{2}}{x^2}} the answer is: u(x,t) = {\frac{70}{\sqrt{1+2t}}}{e^{-{\frac{x^2}{2+4t}}}} In this course...

I looked over the two links you gave me, thanks. They don't give a proof but bring up some good ideas. I noticed it is similar to implicit differentiation.

I actually don't understand your first equation. dz= (∂z/∂x)dx + (∂z/∂y)dy I tried to look up the proof on Wikipedia but it also doesn't explain it. There must be something intuitive about it but I don't see how you can mix dx,dy,dz with ∂x,∂y,∂z. My fluid mechanics lecturer used the same...

I hadn't heard of that rule before. Thanks for clearing this up !

Given a function: z(x,y) = 2x +2y^2 Determine ∂x/∂y [the partial differentiation of x with respect to y], Method 1: x = (z/2) - y^2 ∂x/∂y = -2y Method 2: ∂z/∂x = 2 ∂z/∂y = 4y ∂x/∂y = ∂x/∂z X ∂z/∂y = (1/2) X 4y = 2y One or both of these is wrong. Can someone point out...