From: David Jonsson 

 

> Integral from -r0 to +r0 of (r0^2-r^2)/(R0-r)^2 dr

> 

> r0 is radius of star. R0 is distance to star center from a

> satellite of the star.

> 

> The integral is most often approxiamted with something proportional to

> 1/R0² which is the case when r0 -> 0. I think the approximation is too

> course for modern precision demands.

> 

> David

 

I’m still wading through a week’s worth of email, having been on vacation.
So I don’t yet know if someone has already responded to this query.

 

But yes, I do recognize 1/r^2. I’ve been using this simple formula in my own
Celestial Mechanics research for several years now. I’ve also been
experimenting with hybrid formulas as well. I’ve been researching not so
much what might be called the Macro Celestial Mechanics aspects but more the
theoretical/mathematical chaotic aspects, particularly when one’s feed-back
approximations are too coarse. I’m fascinated with what I’m uncovering.

 

BTW, Mauro Lacy suggest googling "Miles Mathis", for an entertaining read on
certain formulas used in regards to Celestial Mechanics. I’ve waded through
Mathis’ article on Mercury’s Precision. Lots of interesting stuff there. 

 

Hope this is  helpful.

 

Regards

 

Steven Vincent Johnson
www.OrionWorks.com
www.zazzle.com/orionworks 

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