Changes between Version 16 and Version 17 of u/erica/RadFeedback
- Timestamp:
- 11/19/15 14:07:09 (9 years ago)
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u/erica/RadFeedback
v16 v17 15 15 [[latex($ L = \frac{1}{2}\dot{m} v_{ff}^2 = \frac{G\dot{m}M_{*}}{R_{*}}$)]] 16 16 17 However, in our simulations the gas parcel isn't falling into the sink from infinity, but rather from some distance r away from the sink. At this radius it has some kinetic and gravitational potential energy, as it does once it falls to the surface of the star. Energy conservation gives:17 However, in our simulations the gas parcel isn't falling into the sink from infinity, but rather from some distance r away from the sink. At this radius it has some initial kinetic and gravitational potential energy. For this situation, energy conservation gives: 18 18 19 19 [[latex($\frac{1}{2}m v^2(r) - \frac{GmM_{r}}{r} = \frac{1}{2}m v^2(R_{*}) - \frac{GmM_{*}}{R_{*}}$)]]