Looking for an equation...

[Externet]

Hi.

Trying to create an equation, what is left from my brain gets twisted and stuck there. With a flat mirror I have no problem, but with a convex one is different.

Can anyone please try, or provide heavy guidance ?

 

It is necessary to take a look at this mirror and its reflection :

----> http://www.cleardomesolar.com/solareflexpanels.html

 

The variables are

The mirror arc (mirror lenght or size) A

The mirror curvature (its radius) R

The illuminated target span S

The illuminated target position P

Time of day (or sun azimuth angle) T

The target-to-mirror distance D

 

I see the relationships as:

A (larger) curvature radius R is inversely proportional to a (smaller) span S

A larger mirror arc A is directly proportional to the times T (azimuth) it will work

The sun azimuth T is inverse to the illuminated target position P

The distance D is inversely proportional to the span S

 

The purpose is calculating for a desired span S, which radius R and arc A will illuminate a target at position P, from T being 8AM to 4PM (azimuth 60 to 120 degrees) and requiered distance D

Edited March 2, 2014 by Externet