Changes between Version 16 and Version 17 of u/erica/RadFeedback


Ignore:
Timestamp:
11/19/15 14:07:09 (9 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/RadFeedback

    v16 v17  
    1515[[latex($ L = \frac{1}{2}\dot{m} v_{ff}^2 = \frac{G\dot{m}M_{*}}{R_{*}}$)]]
    1616
    17 However, in our simulations the gas parcel isn't falling into the sink from infinity, but rather from some distance r away from the sink. At this radius it has some kinetic and gravitational potential energy, as it does once it falls to the surface of the star. Energy conservation gives:
     17However, in our simulations the gas parcel isn't falling into the sink from infinity, but rather from some distance r away from the sink. At this radius it has some initial kinetic and gravitational potential energy. For this situation, energy conservation gives:
    1818
    1919[[latex($\frac{1}{2}m v^2(r) - \frac{GmM_{r}}{r} = \frac{1}{2}m v^2(R_{*}) - \frac{GmM_{*}}{R_{*}}$)]]