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Solutions for the shock-wave motion | Blow-out time tb |
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1.0 |
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for
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for
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for
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|
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where
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for
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for
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for
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|
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where
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for
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for
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for
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|
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0.5-0.78 |
where
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where
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and,
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for
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for
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for
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a Density
distribution of the plane-parallel stratified medium, with respect to a
Z axis (Col. 1) and to a z axis (Col. 2). The z and Z axes are
along the line that passes through the explosion point and is perpendicular to the
stratification plane. The origin of Z-axis lies on the plane of maximum
gas density
or symmetry plane, e.g. the Galactic plane. Both
positive axes point in the same sense, toward decreasing densities. We denote the Z-position
(or altitude) of
the explosion point by Z0, origin of the z axis. The positions (r, z) of the wave, given by
the parametric equations (Col. 3), are referred to the cylindrical
coordinate system (r, z) with origin
in the explosion
point and symmetry around the z-axis. The valid range for each function is given.
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