We can now compare the effect of non-Newtonian potential with the finite specific angular momentum constant j. Values of j should be determined from an eigen-value problem (e.g. Chen et al. 1997 determine in the unit of Keplerian angular momentum at for =0.1). Typically values of j ranges from 0.4 to 1.0 in the above mentioned units. Exact numerical calculations of Gammie & Popham 1998 (see Fig. 1) indicates that this is indeed true. Moreover, one can estimate that this is the case from the approximate solutions as follows:
Next, we use Eq. (29) to sustitute for
If we take , and , 0.33 and thus one can have . Since , our assumption is justified.
© European Southern Observatory (ESO) 2000
Online publication: October 2, 2000