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Observational Constraints on The Evolution of Dust in ...

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Evoluti<strong>on</strong> <strong>of</strong> <strong>Dust</strong> <strong>in</strong> Protoplanetary Disks 35<br />

2.6.1 Lum<strong>in</strong>osities<br />

Stellar lum<strong>in</strong>osities were calculated by <strong>in</strong>tegrat<strong>in</strong>g the NEXTGEN stellar photosphere<br />

for each object, scaled to dereddened optical (from the literature) or Two Micr<strong>on</strong> All<br />

Sky Survey (2MASS) fluxes, depend<strong>in</strong>g <strong>on</strong> their availability. <strong>The</strong> errors are derived<br />

from the uncerta<strong>in</strong>ty <strong>in</strong> the distance to the cloud and the error <strong>on</strong> the ext<strong>in</strong>cti<strong>on</strong><br />

(±2 mag). Similar methods for lum<strong>in</strong>osity estimati<strong>on</strong> have been widely used <strong>in</strong> the<br />

literature (van den Ancker et al. 1997, van den Ancker et al. 1998, Alcalá et al. 2008,<br />

Merín et al. 2008). <strong>The</strong> ext<strong>in</strong>cti<strong>on</strong> law <strong>of</strong> We<strong>in</strong>gartner & Dra<strong>in</strong>e (2001) was used to<br />

correct for the redden<strong>in</strong>g, to be c<strong>on</strong>sistent with the analysis <strong>in</strong> Secti<strong>on</strong> 2.5. A careful<br />

<strong>in</strong>specti<strong>on</strong> <strong>of</strong> all the result<strong>in</strong>g SEDs was performed to f<strong>in</strong>d the best-fit ext<strong>in</strong>cti<strong>on</strong><br />

from the two A V values discussed above plus the best-fit A V from the spectral type<br />

and the optical or NIR photometry. <strong>The</strong> result<strong>in</strong>g best-fit ext<strong>in</strong>cti<strong>on</strong>s (A V F<strong>in</strong>al) and<br />

lum<strong>in</strong>osities are shown <strong>in</strong> Table 2.3. Objects # 44 and 47 were not detected by<br />

2MASS and, therefore, no J, H, and K magnitudes are available for them. For this<br />

reas<strong>on</strong>, we could not determ<strong>in</strong>e their lum<strong>in</strong>osities and they are not <strong>in</strong>cluded <strong>in</strong> the<br />

H-R diagram. Objects # 41 and 117 are ris<strong>in</strong>g sources (likely due to an edge-<strong>on</strong> disk<br />

or envelope), result<strong>in</strong>g <strong>in</strong> an unrealistically low lum<strong>in</strong>osity and were marked with a<br />

different symbol (square) <strong>in</strong> the H-R diagram.<br />

2.6.2 Results<br />

<strong>The</strong> H-R diagram <strong>of</strong> the sample is shown <strong>in</strong> Figure 2.7. <strong>The</strong> stars are compared<br />

with evoluti<strong>on</strong>ary tracks from Baraffe et al. (1998) and Siess et al. (2000). Twenty<br />

objects are outside the range <strong>of</strong> the isochr<strong>on</strong>es <strong>in</strong> the H-R diagram (gray circles <strong>in</strong><br />

Figure 2.7). <strong>The</strong>se objects are too lum<strong>in</strong>ous to be at a distance <strong>of</strong> 259 pc even <strong>in</strong> the<br />

extreme case <strong>of</strong> hav<strong>in</strong>g vanish<strong>in</strong>g ext<strong>in</strong>cti<strong>on</strong>. As discussed above, their SEDs <strong>in</strong>deed<br />

show very little IR excess, <strong>on</strong>ly at the l<strong>on</strong>gest wavelengths, and therefore they likely<br />

do not bel<strong>on</strong>g to the cloud. Obviously for these objects, no ages or masses could be<br />

determ<strong>in</strong>ed.<br />

Sixteen <strong>of</strong> these outliers have A V Obs >> A V Cloud and therefore appear <strong>in</strong> the<br />

shaded area <strong>of</strong> Figure 2.6. Thus, there is a 92% corresp<strong>on</strong>dence <strong>of</strong> both methods to<br />

identify background sources. <strong>The</strong> 20 background stars are removed from the sample,<br />

leav<strong>in</strong>g the rema<strong>in</strong>der as a purer YSO sample <strong>in</strong> Serpens.<br />

<strong>The</strong>se rema<strong>in</strong><strong>in</strong>g objects, shown with black circles <strong>in</strong> Figure 2.7, are found to be<br />

c<strong>on</strong>sistent al<strong>on</strong>g the 1–10 Myr isochr<strong>on</strong>es and between the 0.2 and 1.2 M ⊙ mass tracks<br />

<strong>in</strong> both diagrams, <strong>in</strong>dicat<strong>in</strong>g a possibly coeval populati<strong>on</strong> <strong>of</strong> YSOs dom<strong>in</strong>ated by very<br />

low-mass stars. Early type (T eff > 6000K) stars fall outside the Baraffe et al. (1998)<br />

tracks, but are <strong>in</strong> the range <strong>of</strong> the Siess et al. (2000) models. In these cases, ages and<br />

masses could <strong>on</strong>ly be derived from the latter.<br />

Individual ages and masses <strong>of</strong> the YSOs <strong>in</strong> Serpens were derived from the models<br />

and are shown <strong>in</strong> Table 2.3 and Figure 2.8. <strong>The</strong> Baraffe et al. (1998) tracks tend to<br />

produce larger masses and ages than those found with the Siess et al. (2000) tracks<br />

for the same positi<strong>on</strong> <strong>in</strong> the diagram. We also f<strong>in</strong>d that, for the different models, the

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