- #1

dsilvas

- 7

- 4

- Homework Statement
- Derive eq.(5) and eq.(6) from eq.(3) and (4)

- Relevant Equations
- Unsure how to type the equations correctly in this text box (no formating options). They are below.

This image shows the equations.

I managed to almost get equation 5, but my partial derivative is not squared but instead multiplied by mu, and also I don't have a factor of 1/2.

Here is an image of the work I have. I'm sorry for any sloppiness. I tried to be as concise as possible when writing it down but it should be pretty straightforward. Essentially the only way my final equation could be equal to eq.(5) is if mu is equal 1/2 of its partial derivative with respect to r.

If it helps, here is the link to the paper that these equations are coming from. It is page 2.

https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/98RS01523

I didn't write it out explicitly, so to elaborate, r prime in my work is equal to the full derivative of r with respect to theta. I was able to derive eq. (6) from eq. (4) and that has helped me get closer to deriving eq. (5) but I'm not quite there and I'm stuck.

#### Attachments

Last edited: