| 38 | | [[br]]'''''Velocity of outer radius as a function of the outer radius.''''' '''That is to say, "when the outer radius has fell to a new position of "r outer", the velocity of that outer radius is "v outer"''' |
| | 38 | [[br]]'''''Velocity of outer radius as a function of the outer radius.''''' '''That is to say, "when the outer radius has fell to a new position of "r outer", the velocity of that outer radius is "v outer" How can you check this plot? You would look at the r vs. t plot, see at what time does the radius reach X, and then read off the velocity at that time. These numbers will match what you are seeing in this plot.''' |
| | 39 | |
| | 40 | Now, all this beckons -- what is the radial velocity profile of the collapsing sphere over time? This should be roughly vertical lines in the velocity of outer radius over time plots, and after some fancy coding in mathematica (see attached notebook if interested), one can arrive at this beauty: |
| | 41 | |
| | 42 | [[Image(radialvelocity.png, 40%)]] |
| | 43 | [[br]]'''''Velocity of outer radius as a function of the outer radius.''''' '''That is to say, "when the outer radius has fell to a new position of "r outer", the velocity of that outer radius is "v outer" How can you check this plot? You would look at the r vs. t plot, see at what time does the radius reach X, and then read off the velocity at that time. These numbers will match what you are seeing in this plot.''' |
