SSC/Structure/BiPolytropes/AnalyzeStepFunction - Revision history

Jet53man: /* Mapping Between Lagrangian Coordinates (Mass and Radius) */

2022-07-05T00:55:10Z

Mapping Between Lagrangian Coordinates (Mass and Radius)

@@ Line 4,183: / Line 4,183: @@
 (-\alpha_\mathrm{scale}) \cdot 0.1926402 \cdot \biggl( \frac{\mu_e}{\mu_c} \biggr)^{-1}
 \biggl[ 8.5761836 \biggr]
 </math>
    </td>

2022-07-05T00:51:17Z

Mapping Between Lagrangian Coordinates (Mass and Radius)

← Older revision		Revision as of 20:51, 4 July 2022
Line 4,182:		Line 4,182:
	<math>		<math>
	(-\alpha_\mathrm{scale}) \cdot 0.1926402 \cdot \biggl( \frac{\mu_e}{\mu_c} \biggr)^{-1}		(-\alpha_\mathrm{scale}) \cdot 0.1926402 \cdot \biggl( \frac{\mu_e}{\mu_c} \biggr)^{-1}
	\biggl[ ~~\frac{1}{6}\theta^{-5}_i \xi_i^{-2}~~ \biggr]		\biggl[ 8.5761836 \biggr]
	</math>		</math>
	</td>		</td>

2022-07-05T00:45:11Z

Envelope

@@ Line 4,144: / Line 4,144: @@
 \frac{1}{6}\biggl( \frac{\mu_e}{\mu_c} \biggr)^{-1} \theta^{-5}_i \xi_i^{-2}
 \, .
 </math>
    </td>

2022-07-05T00:32:44Z

Envelope

2022-07-05T00:00:24Z

Mapping Between Lagrangian Coordinates (Mass and Radius)

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    <td align="center">
 <math>=</math>
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 <math>
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 <math>=</math>
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 <math>=</math>
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 <math>\equiv</math>
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 <math>\equiv</math>
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 <math>\equiv</math>
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 <math>\equiv</math>
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 <math>\equiv</math>
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 <math>=</math>
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 <math>
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    <td align="center">
 <math>=</math>
    <td align="left">
 <math>
-e_M\cdot A \biggl[ \eta\sin(\eta-B) \biggr]d\eta \, .
+\frac{e_r}{e_M\cdot A} \biggl[ \eta\sin(\eta-B) \biggr]^{-1} \, .
 </math>
    </td>

2022-07-04T23:49:28Z

Mapping Between Lagrangian Coordinates (Mass and Radius)

@@ Line 3,957: / Line 3,957: @@
 <math>
 e_r d\eta
 </math>
    </td>

2022-07-04T23:41:42Z

Mapping Between Lagrangian Coordinates (Mass and Radius)

@@ Line 3,816: / Line 3,816: @@
 ===Envelope===
 =See Also=
 {{ SGFfooter }}

2022-07-04T18:10:42Z

Core

2022-07-03T23:57:49Z

Core

← Older revision		Revision as of 19:57, 3 July 2022
Line 3,601:		Line 3,601:
	<math>		<math>
	(-\alpha_\mathrm{scale}) \cdot 1.7395297 \times 8.5761836		(-\alpha_\mathrm{scale}) \cdot 1.7395297 \times 8.5761836
	=		=(-\alpha_\mathrm{scale}) \cdot
	14.9185261 \, .		14.9185261 \, .
	</math>		</math>
Line 3,607:		Line 3,607:
	</tr>		</tr>
	</table>		</table>

	===Envelope===		===Envelope===

2022-07-03T23:57:05Z

Mapping Between Lagrangian Coordinates (Mass and Radius)

← Older revision		Revision as of 19:57, 3 July 2022
Line 3,600:		Line 3,600:
	<td align="left">		<td align="left">
	<math>		<math>
	8.5761836 \~~times~~		(-\alpha_\mathrm{scale}) \cdot 1.7395297 \times 8.5761836
			=
			14.9185261 \, .
	</math>		</math>
	</td>		</td>
	</tr>		</tr>
	</table>		</table>

	===Envelope===		===Envelope===