- #1
vaibhavtewari
- 65
- 0
Hello,
while solving bending of light problem, where I shoot a light ray from one tower to other. How much light has fallen upto the middle point ? I was able to reduce the eq to
[tex]\phi=\int[1-a(\cos\theta+\frac{1}{1+\cos \theta})]^{-1/2}d\theta[/tex]
a is very small, also if there is no gravity "a" will be zero.
Is there a way I can express this integral as a series ? the first term being [tex]\phi=\theta+...[/tex]
I tried expanding the square root but the higher order integrals become ugly. I was hoping to find a neat looking series..please help
while solving bending of light problem, where I shoot a light ray from one tower to other. How much light has fallen upto the middle point ? I was able to reduce the eq to
[tex]\phi=\int[1-a(\cos\theta+\frac{1}{1+\cos \theta})]^{-1/2}d\theta[/tex]
a is very small, also if there is no gravity "a" will be zero.
Is there a way I can express this integral as a series ? the first term being [tex]\phi=\theta+...[/tex]
I tried expanding the square root but the higher order integrals become ugly. I was hoping to find a neat looking series..please help
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