(adsbygoogle = window.adsbygoogle || []).push({}); GIVE ME A HINT!!!! Fourier series / Kepler's equation

By expanding [tex]e \sin\psi[/tex] in a Fourier series in [tex]\omega t[/tex], show that Kepler's equation has the formal solution

[tex]\psi = \omega t + \sum_{n=1}^{\infty}{\frac{2}{n}J_{n}(ne)\sin{\omega t}}[/tex]

where [tex]J_{n}[/tex] is the Bessel function of order n. For small argument, the Bessel function can be approximated in a power series of the argument. Accordingly, from this result derive the first few terms in the expansion of [tex]\psi[/tex] in powers of [tex]e[/tex].

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# Homework Help: Fourier series / Kpler's equation

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