A Specie Cued Continuous Mass Distribution

It is of some interest to investigate the case where … inside the cluster is constant 4u StAcrly specking eau outaide of our condiaons es ought to duce tow.d the point • • 0 et leset es lut r. in orders hat the density in the neighborhood of the center should Am finite. We een swirly Will condition by choosing n for instance (29) where c is to be an ANA, eon…

We then corner from the start the caw e • . Thin sucial Awn is diseusud here in order to supple- the discuarions of part 4. There tbe whole mus was distributed inn outside (within the woo radius A) u wMW hue we have • strong centration of mass toward the utter of the cluster. As • is the gravitating mar enclosed by a spheriul eurface of the radius dr/(4.36) is the mean density of the gravitating rue in the point r. As • Revue obtain for this mean density re/2er’, i.e. a nulial decrease of the den-shy ue up to Ate cluster boundary r • A. From (18), In accordance with (M) (in the limiting cue of vanishing expo outial Pau), we obtain (18a)

….

and since for • — A ,A and B have barium, the value 1

…

For r = 0 we obtain a w and 4 • 0.

This type of Angularity, however, is not to be taken seriously became it would be avoided if we had taken into con-sideration the exponential turn in (29).

It noted that through suitable choice of the mane diegribution this Angularity care be approAmated, bt net reached. We make use of (2I) order to determine the relation ruwng between the ruin of the rest muses of the pardelee M M=Lmr n.41, de, and the total gravitating mare of the e n. oan be shown that the first tam, (00 gives 0.7, wslatiwg sontrillntiell for i.e., great values of This follows from the feet that (1 vanishes everywhere veheretheirAluence