Has Anyone Experienced Challenges with the Weber-Davis Solar Wind Model?

[JvD]

Hi, I was wondering if anyone here had any experience (preferably intimate) with the Weber-Davis solar wind model, i.e. : http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?db_key=AST&bibcode=1967ApJ...148..217W&letter=0&classic=YES&defaultprint=YES&whole_paper=YES&page=217&epage=217&send=Send+PDF&filetype=.pdf

I'm currently usuing their results on a related project and I'm in need of some help!

Thanks

 

[Greg Bernhardt]

What is your problem specifically?

 

[JvD]

What is your problem specifically?

Integrating (22) to get (24) (or a variation of).

The problem is that, after making the substitution and reducing the function to only u and r (as per the text below (22)), the integral seems paradoxically impossible. That is, I'm ultimately, via way of transcendental equation, looking to express u (which is in itself a function of r, i.e. u=u(r)) in terms of r, but in order to integrate (22) you need to know u, creating an infinite loop of head-against-the-wall confusion.

My best guess is to estimate u and iterate, but I'm really not sure