Joel2: /* Taff and Van Horn (1974) */

2026-08-02T21:07:30Z

Taff and Van Horn (1974)

← Older revision		Revision as of 16:07, 2 August 2026
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	where, <math>C_0</math> is the integration constant. Once again, taking into account the different adopted sign on <math>\psi</math>, acknowledging the variable substitution, <math>\lambda \leftrightarrow i\omega</math>, and considering only an isothermal equation of state <math>(\gamma = 1)</math>, we recognize that this is precisely the same form of the governing wave equation that appears as equation (2.19) of {{ Yabushita68 }}.		where, <math>C_0</math> is the integration constant. Once again, taking into account the different adopted sign on <math>\psi</math>, acknowledging the variable substitution, <math>\lambda \leftrightarrow i\omega</math>, and considering only an isothermal equation of state <math>(\gamma = 1)</math>, we recognize that this is precisely the same form of the governing wave equation that appears as equation (2.19) of {{ Yabushita68 }}.

	====Taff and ~~Van~~ Horn (1974)====		====Taff and van Horn (1974)====
	Drawing on the expressions for the radial profiles of various physical variables in equilibrium isothermal spheres, [[#IsothermalVariables\|as provided above]], our more familiar, "key" form of the wave equation can be rewritten as,		Drawing on the expressions for the radial profiles of various physical variables in equilibrium isothermal spheres, [[#IsothermalVariables\|as provided above]], our more familiar, "key" form of the wave equation can be rewritten as,
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Joel2: Created page with "FORCETOC =Radial Oscillations of Pressure-Truncated Isothermal Spheres= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:white;" | via
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Integration |} ==Overview== Both {{ Ebert55full }} and {{ Bonnor56f..."

2024-01-09T16:52:50Z

Created page with "__FORCETOC__  =Radial Oscillations of Pressure-Truncated Isothermal Spheres= {| class="PGEclass" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:white;" | via Direct Numerical Integration |} ==Overview== Both {{ Ebert55full }} and {{ Bonnor56f..."

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Joel2: /* Taff and Van Horn (1974) */