- #1

MathematicalPhysicist

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## Main Question or Discussion Point

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:

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?

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?