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172 Spectral Energy Distributi<strong>on</strong>s <strong>of</strong> the Young Stars with Disks <strong>in</strong> Serpens<br />

7.2.3 Masses and Ages Revisited<br />

<strong>The</strong> new stellar lum<strong>in</strong>osities, derived for the distance <strong>of</strong> 415 pc, imply that the young<br />

stars <strong>in</strong> Serpens move <strong>in</strong> the Hertzsprung-Russell (HR) diagram. <strong>The</strong> physical HR<br />

diagram relates the effective temperature (T eff ) and lum<strong>in</strong>osity <strong>of</strong> a star. Follow<strong>in</strong>g<br />

Oliveira et al. (2009), T eff is determ<strong>in</strong>ed from the object’s spectral type as follows:<br />

stars earlier than M0 follow the relati<strong>on</strong>ship <strong>of</strong> Keny<strong>on</strong> & Hartmann (1995), while stars<br />

<strong>of</strong> later spectral type follow that <strong>of</strong> Luhman et al. (2003). <strong>The</strong> errors <strong>in</strong> temperature<br />

are translated directly from the errors <strong>in</strong> spectral types. With L star and T eff <strong>in</strong> hand,<br />

the objects can be placed <strong>in</strong> the HR diagram.<br />

For young stellar objects, ages and masses can be derived by overlay<strong>in</strong>g pre-ma<strong>in</strong><br />

sequence (PMS) evoluti<strong>on</strong>ary tracks <strong>on</strong> the HR diagram, and compar<strong>in</strong>g the positi<strong>on</strong><br />

<strong>of</strong> an object to the isochr<strong>on</strong>es and mass tracks, us<strong>in</strong>g the PMS models <strong>of</strong> Baraffe<br />

et al. (1998) and Siess et al. (2000). Due to the <strong>in</strong>tr<strong>in</strong>sic physics and validati<strong>on</strong> <strong>of</strong><br />

parameters, the models <strong>of</strong> Baraffe et al. (1998) are used for stars with masses smaller<br />

than 1.4 M ⊙ , while more massive stars are compared to the models <strong>of</strong> Siess et al.<br />

(2000). <strong>The</strong> new <strong>in</strong>dividual ages and masses are presented <strong>in</strong> Table A.1.<br />

Figure 7.2 shows the distributi<strong>on</strong> <strong>of</strong> masses and ages for the YSOs <strong>in</strong> Serpens.<br />

Compared to the results <strong>of</strong> Oliveira et al. (2009) for d = 259 pc, it is seen that<br />

the mass distributi<strong>on</strong> does not change much, while the age distributi<strong>on</strong> does. This<br />

is understood by look<strong>in</strong>g at the isochr<strong>on</strong>es and mass tracks <strong>of</strong> a given model (e.g.<br />

Figure 7 <strong>of</strong> Oliveira et al. 2009): for the temperature range <strong>of</strong> the stars <strong>in</strong> Serpens<br />

(mostly K- and M-type), mass tracks are almost vertical. This means that a change<br />

<strong>in</strong> lum<strong>in</strong>osity due to the new distance hardly affects the <strong>in</strong>ferred mass. From the<br />

isochr<strong>on</strong>es, however, it can be noted that <strong>in</strong> general higher stellar lum<strong>in</strong>osities (for<br />

this further distance) imply younger ages. Indeed, the median mass derived here is<br />

∼0.7 M ⊙ and median age is ∼2.3 Myr, while Oliveira et al. (2009) found ∼0.7 M ⊙<br />

and ∼5 Myr.<br />

Figure 7.2 – Distributi<strong>on</strong> <strong>of</strong> masses and ages <strong>of</strong> the young stellar objects <strong>in</strong> Serpens, assum<strong>in</strong>g d =<br />

415 pc.

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