Recent content by xoureo

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    Problem: Orbital Period - eclipse time - Illumination time ?

    Problem: Orbital Period - eclipse time - Illumination time ?? Homework Statement An educational institute has decided to launch a small satellite having mass and volume of CubeSat specifications i.e. mass of 1.33kg and volume of 10 cm cube. Due to some launch constraints, there are three...
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    Fourier Transform Properties: Deriving TF{∫f(x)dx} = -iF(k)/k + πF(0)δ(k)

    Ok,i understand it now, thanks for the help :smile:
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    Fourier Transform Properties: Deriving TF{∫f(x)dx} = -iF(k)/k + πF(0)δ(k)

    Homework Statement If F(k)=TF\{f(x)\},k\neq 0 where TF is the Fourier transform ,and F(0)=\frac{1}{\sqrt{2\pi}}\int_{-\infty}^{\infty}f(u)du\neq 0 , show that TF\{\int_{-\infty}^{x}f(u)du\}=-i \frac{F(k)}{k} +\pi F(0)\delta(k) Homework Equations The Attempt at a...
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    Fourier Transform of cos(x^2): A Complex Analysis Approach

    Hi tiny-tim Im sorry, i don't understand you. If i use the formula that jeffreydk give, i obtain: \frac{1}{2}\int_{-\infty}^{\infty}e^{i(x^2-kx)}dx +\frac{1}{2}\int_{-\infty}^{\infty}e^{-i(x^2-kx)}dx The first term is: \frac{1}{2} \left( \int_{-\infty}^{\infty}cos(x^2)e^{-ikx}dx...
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    Fourier Transform of cos(x^2): A Complex Analysis Approach

    I try to do that, but when i get \int_{-\infty}^{\infty} cos(x^2)cos(kx)dx i get blocked. How should i solve it?, i tried integration by parts ,whithout result. Should i try complex integration? i don't know how to proceed here. Thanks for the answers and the welcome :smile: PD...
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    Fourier Transform of cos(x^2): A Complex Analysis Approach

    Homework Statement Calculate Fourier transform of cos(x^2)Homework Equations The Attempt at a Solution I want, if it possible, a clue to solve the integral. I don't know how to proceed. I tried integration by parts, but i can't solve it. Sorry for my english. How can i use latex? Can...
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