SpringerLink
Forum Springer Astron. Astrophys.
Forum Whats New Search Orders


Astron. Astrophys. 361, 781-787 (2000)

Previous Section Next Section Title Page Table of Contents

Appendix A

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 [FORMULA] in the unit of Keplerian angular momentum at [FORMULA] for [FORMULA]=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:

Consider

[FORMULA].

Next, we use Eq. (29) to sustitute for [FORMULA]

[EQUATION]

If we take [FORMULA], [FORMULA] and [FORMULA], [FORMULA] 0.33 and thus one can have [FORMULA]. Since [FORMULA], our assumption [FORMULA] is justified.

Previous Section Next Section Title Page Table of Contents

© European Southern Observatory (ESO) 2000

Online publication: October 2, 2000
helpdesk.link@springer.de