Normalized Radius
Fig. 6.15 Density as a function of normalized radius is shown during the very late stages of the
expansion of the isothermal sphere at the times indicated. For the numerical procedure the following
parameters apply; Δλ ¼ 0.00914, λ s ¼ 0.0457, κ ¼ 1.2, Δτ ¼ 1.2 Â 10
À4 and γ ¼ 1.4
Normalized Radius
Fig. 6.16 Particle velocity as a function of normalized radius is shown during the earliest stages of
the expansion of the isothermal sphere at the times indicated. For the numerical procedure the
following parameters apply; Δλ ¼ 0.000457, λ s ¼ 0.0457,κ ¼ 1.2, Δτ ¼ 2 Â 10
À6 and γ ¼ 1.4
6.10 Results of the Numerical Integration for the Expanding Sphere
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