The Gravitational Field of Flat Galaxies
Abstract
A set of biorthogonal pairs of functions is derived which is especially suited for the calculation of the gravitational field of flat galaxies. The functions are Hankel tranforms of associated Laguerre functions, or ‘HankelLaguerre functions’. They can be calculated by means of recurrence relations, which are derived from a generating function. Numerical computations are most efficiently performed using a related set of Chebyshev type functions, which have more economic recurrence relations. The necessary algorithms for efficient calculation of the field are derived using the properties of HankelLaguerre functions. This field calculation, can be used for a relatively cheap and simple computer simulation of galaxies.
 Publication:

Astrophysics and Space Science
 Pub Date:
 April 1972
 DOI:
 10.1007/BF00643095
 Bibcode:
 1972Ap&SS..16..101C