Three-dimensional renderings of the disk warp
The following figures show three-dimensional renderings of each of the m=0,...,3 response. Clicking on an image should launch a vrml viewer (if configured). I chose the orientation of the image to be "interesting". The virtual world will begin looking downward from the NGP.
The features in the figures and virtual worlds are as follows:
- The x-axis points from the solar position toward 270 degrees
- The y-axis points from the solar postion toward the galactic center
- The z-axis points toward the NGP
- The origin is the galactic center (indicated by the cyan ball)
- The tube is the computed LMC/SMC orbit color coded to be red at pericenter and blue at apocenter.
- The yellow sphere is the position of the LMC/SMC at the current time.
The outline box around the disk warp has been scaled to illustrate the shape of the warp. The following table describes the units for each figure:
Response | Vmin, Vmax (in kpc) | Vertical scaling factor |
m=0 | -0.2, 0.4 | 5 |
m=1 | -1.4, 1.4 | 5 |
m=2 | -0.5, 0.5 | 10 |
m=3 | -0.07, 0.07 | 10 |
total | -1.1, 1.1 | 3 |
The amplitude is based on a 2.0×1010 M° for the LMC. You can multiply by a mass factor (e.g. 0.5) if you want a smaller LMC mass.
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M=0 | M=1 |
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M=2 | M=3 |
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Response of disk to sum of m=0,...,3 components |