Saturday, April 25, 2009
Having just encountered Bessel Functions for the second time in my life, I must say that they did not seem any friendlier. For a non-axisymmetric galaxy gravitational potential (think of a barred spiral galaxy), the surface brightness of the galaxy may be defined using a double integral over two Bessel Functions, J0 and J1, both with different arguments. I have to say, it was gruelling and a pain in the ass, but I was finally able to get it to work out earlier today. It involved doing one integral on the computer, but the rest was a lot of calculus to get it to work. As hard as it was, it was fun, and the satisfaction of actually obtaining a result was great. Still, Bessel Functions and I are not close friends. There are relations between them and various integrals that are easier to do than others, it's just a matter of finding which form you need and how to get there. Rather annoying, but worth the time and effort put in. Maybe I'll post the solution later.
Posted by stellar astronomer at 12:45 AM