in this webpage: http://www.mathpages.com/rr/s2-07/2-07.htm we have an explanation to the saganc effect and in page 2 and 3 i got stumbled:(adsbygoogle = window.adsbygoogle || []).push({});

i cant get to the quadratic equation in page 3 i.e:

[c^2-R^2*w^2*cos(theta)]*T^2+-[2R^2*w*sin(theta)]*T-2R^2[1-cos(thata)]=0

from this:

c^2*T^2=2R^2*[1-cos(w*T)*cos(theta)+-sin(wT)sin(theta)]

in page 2.

i tried to use limits because in the paper the said that w*T is extremely small, but what i got is

c^2*T^2=2R^2*[1-cos(theta)]

(i took limits to both the sin and cos functions with w*T as the angle), but as you see it doesnt match, then what have idone wrong?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Sagnac effect- the maths

**Physics Forums | Science Articles, Homework Help, Discussion**