Erratum: ``Generalized Collapse Solutions with Nonzero Initial Velocities for Star Formation in Molecular Cloud Cores'' (ApJ, 615, 813 [2004])

Details Erratum: ``Generalized Collapse Solutions with Nonzero Initial Velocities for Star Formation in Molecular Cloud Cores'' (ApJ, 615, 813 [2004]) Erratum: ``Generalized Collapse Solutions with Nonzero Initial Velocities for Star Formation in Molecular Cloud Cores'' (ApJ, 615, 813 [2004])

Sep 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005apj...630..642f&link_type=abstract

The Astrophysical Journal, Volume 630, Issue 1, pp. 642-642.

Astronomy and Astrophysics

Astronomy

Errata, Addenda

Scientific paper

In § 5, for starting states that are not isothermal and that have v∞≠0, the collapse solutions are not self-similar. To account for this complication, a few lines of explanation should be added to (changed in) the paper at three places in the manuscript.
1. After equations (71)-(72), the following should be added:
``Note that inclusion of the constant term v∞ in the velocity expansion breaks the self-similarity. Solutions with v∞≠0 can be found, but, unlike the case of isothermal solutions discussed in the previous section, the results depend on the choice of outer boundary condition (see below).''
2. In the last paragraph of § 5.1, the last sentence should read ``Solutions can still be found'' rather than ``Self-similar solutions can still be found''.
And the following lines of text should be added:
``As a result, the solutions depend on the boundary conditions, i.e., on the starting value x0 of the similarity variable where integration of the equations of motion begins. The solutions shown in Figure 9 have been calculated by applying the outer boundary condition (eq. [71]) at x0=100. In contrast to the self-similar isothermal case of the previous section, the resulting values of m0 depend on the choice of x0. Nonetheless, the curves shown in Figure 9 illustrate the expected property-that collapse solutions with initial inward motions lead to larger infall rates than those found in the hydrostatic limit.''
3. The caption to Figure 9 should include the following sentence:
``Because the inclusion of v∞≠0 breaks the similarity, only the lowest curve is self-similar. The other curves of m0/mH(Γ) depend on the value x0 at which the outer boundary condition is applied; x0=100 for the cases shown here.''

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