<description/> <author>ROGER L. 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<left>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fswiss\fprq2\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\fs24\par \cf1\f1\fs20\{f\}\par }</left> <center>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fswiss\fprq2\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qc\fs24\par \cf1\f1\fs20\{d\}\par }</center> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fswiss\fprq2\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qr\fs24\par \cf1\f1\fs20\{n\}\par }</right> </footer> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.00000001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="mks" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"> <tabs> <tab show-guide="true" position="36"/> </tabs> </ruler> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="2001" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="1998" left="6" top="14.25" width="309" height="40.5" align-x="6" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Magnitude versus Mirror Angle Roger L. Mansfield, February 23, 2006 http://www.astroger.com </text> </region> <region region-id="1967" left="6" top="78.75" width="369.75" height="57" align-x="6" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> This worksheet constructs a mapping of magnitude vs. mirror angle for an Iridium flare. Source of the data is the graph http://home.comcast.net/~skysat/IRID_PLOT2.htm by Randy John, author of SKYSAT [1]. </text> </region> <region region-id="1988" left="204" top="234.75" width="171.75" height="71.25" align-x="204" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Data array obtained manually by picking points off the graph of visual magnitude versus Main Mission Antenna (MMA) mirror angle. </text> </region> <region region-id="1932" left="36" top="139.5" width="74.25" height="231" align-x="57.75" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">mx</ml:id> <ml:matrix rows="11" cols="1"> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> <ml:real>1</ml:real> <ml:real>2.3</ml:real> <ml:real>3</ml:real> <ml:real>4</ml:real> <ml:real>5</ml:real> <ml:real>6</ml:real> <ml:real>7</ml:real> <ml:real>8</ml:real> <ml:real>9</ml:real> <ml:real>10</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="1933" left="114" top="141.75" width="70.5" height="225.75" align-x="135.75" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">my</ml:id> <ml:matrix rows="11" cols="1"> <ml:real>-8</ml:real> <ml:real>-1.6</ml:real> <ml:real>0.0</ml:real> <ml:real>0.5</ml:real> <ml:real>1.2</ml:real> <ml:real>1.5</ml:real> <ml:real>2.0</ml:real> <ml:real>2.3</ml:real> <ml:real>2.6</ml:real> <ml:real>2.7</ml:real> <ml:real>3.1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="1979" left="36" top="390.75" width="156" height="15.75" align-x="106.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">mf</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">c</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">c</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1989" left="204" top="390.75" width="174" height="45.75" align-x="204" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Assumed fitting function. The graph looks like a base 10 logarithmic function, log<f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> 10 </inlineAttr> </f>(x). </text> </region> <region region-id="1980" left="36" top="435.75" width="70.5" height="57.75" align-x="57.75" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">mg</ml:id> <ml:matrix rows="3" cols="1"> <ml:real>0</ml:real> <ml:real>4.7</ml:real> <ml:real>-1.7</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1990" left="204" top="456.75" width="173.25" height="28.5" align-x="204" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Initial estimate of the fitting parameters to Mathcad 13's optimized genfit. </text> </region> <region region-id="1981" left="36" top="522.75" width="147.75" height="15.75" align-x="68.25" align-y="534" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">coeff</ml:id> <ml:apply> <ml:genfit method="optimized levenberg-marquardt"/> <ml:sequence> <ml:id xml:space="preserve">mx</ml:id> <ml:id xml:space="preserve">my</ml:id> <ml:id xml:space="preserve">mg</ml:id> <ml:id xml:space="preserve">mf</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="1991" left="204" top="522.75" width="148.5" height="14.25" align-x="204" align-y="534" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Invoke Mathcad 13's new genfit. </text> </region> <region region-id="1999" left="36" top="555.75" width="97.5" height="57.75" align-x="67.5" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">coeff</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="3" cols="1"> <ml:real>-0.046799903397868936</ml:real> <ml:real>4.7420873619618131</ml:real> <ml:real>-1.7368425662718585</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="7"/> </region> <region region-id="2000" left="204" top="576.75" width="174" height="28.5" align-x="204" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Fitting function coefficients returned by genfit. </text> </region> <region region-id="2001" left="0" top="618" width="6000" height="6" align-x="0" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="1951" left="6" top="642.75" width="318" height="14.25" align-x="6" align-y="654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Now plot fitting function and data points to see how good the fit looks. </text> </region> <region region-id="1993" left="36" top="684.75" width="189.75" height="17.25" align-x="67.5" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">m</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">coeff</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">coeff</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">coeff</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1954" left="6" top="738" width="419.25" height="217.5" align-x="6" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="9"/> <rendering item-idref="10"/> </region> <region region-id="1965" left="6" top="984.75" width="312.75" height="14.25" align-x="6" align-y="996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> The fit is snug and the Magnitude versus Mirror Angle function is </text> </region> <region region-id="1996" left="36" top="1014.75" width="186.75" height="15.75" align-x="66.75" align-y="1026" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:real>-1.737</ml:real> <ml:apply> <ml:mult style="default"/> <ml:real>4.742</ml:real> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0.047</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="11"/> </region> <region region-id="1997" left="6" top="1064.25" width="371.25" height="54.75" align-x="6" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Reference [1] John, Randy, <inlineAttr underline="false">SKYSAT v0.65 by Randy John</inlineAttr> <inlineAttr underline="false">.</inlineAttr> <inlineAttr underline="false"> To see</inlineAttr> the graph IRID_PLOT2.htm, go to the second plot link at <inlineAttr underline="false">http://home.comcast.net/~skysat/</inlineAttr>. </text> </region> </regions> <binaryContent> <item item-id="1" 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Mathcad Professional 13.0 <description/> <author>ROGER L. 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</mathStyles> <dimensionNames mass="mass" length="length" time="time" current="charge" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="10" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="true" page-width="612" page-height="792"> <margins left="72" right="158.4" top="86.4" bottom="86.76"/> <header use-full-page-width="true"/> <footer use-full-page-width="false"> <left>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fswiss\fprq2\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\fs24\par \cf1\f1\fs20\{f\}\par }</left> <center>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fswiss\fprq2\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qc\fs24\par \cf1\f1\fs20\{d\}\par }</center> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Arial;}{\f1\fswiss\fprq2\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qr\fs24\par \cf1\f1\fs20\{n\}\par }</right> </footer> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.00000001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="mks" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"> <tabs> <tab show-guide="true" position="36"/> </tabs> </ruler> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="2001" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="1998" left="6" top="14.25" width="309" height="40.5" align-x="6" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Magnitude versus Mirror Angle Roger L. Mansfield, February 23, 2006 http://www.astroger.com </text> </region> <region region-id="1967" left="6" top="78.75" width="369.75" height="57" align-x="6" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> This worksheet constructs a mapping of magnitude vs. mirror angle for an Iridium flare. Source of the data is the graph http://home.comcast.net/~skysat/IRID_PLOT2.htm by Randy John, author of SKYSAT [1]. </text> </region> <region region-id="1988" left="204" top="234.75" width="171.75" height="71.25" align-x="204" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Data array obtained manually by picking points off the graph of visual magnitude versus Main Mission Antenna (MMA) mirror angle. </text> </region> <region region-id="1932" left="36" top="139.5" width="74.25" height="231" align-x="57.75" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">mx</ml:id> <ml:matrix rows="11" cols="1"> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> <ml:real>1</ml:real> <ml:real>2.3</ml:real> <ml:real>3</ml:real> <ml:real>4</ml:real> <ml:real>5</ml:real> <ml:real>6</ml:real> <ml:real>7</ml:real> <ml:real>8</ml:real> <ml:real>9</ml:real> <ml:real>10</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="1933" left="114" top="141.75" width="70.5" height="225.75" align-x="135.75" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">my</ml:id> <ml:matrix rows="11" cols="1"> <ml:real>-8</ml:real> <ml:real>-1.6</ml:real> <ml:real>0.0</ml:real> <ml:real>0.5</ml:real> <ml:real>1.2</ml:real> <ml:real>1.5</ml:real> <ml:real>2.0</ml:real> <ml:real>2.3</ml:real> <ml:real>2.6</ml:real> <ml:real>2.7</ml:real> <ml:real>3.1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="1979" left="36" top="390.75" width="156" height="15.75" align-x="106.5" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">mf</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">c</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">c</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1989" left="204" top="390.75" width="174" height="45.75" align-x="204" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Assumed fitting function. The graph looks like a base 10 logarithmic function, log<f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> 10 </inlineAttr> </f>(x). </text> </region> <region region-id="1980" left="36" top="435.75" width="70.5" height="57.75" align-x="57.75" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">mg</ml:id> <ml:matrix rows="3" cols="1"> <ml:real>0</ml:real> <ml:real>4.7</ml:real> <ml:real>-1.7</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1990" left="204" top="456.75" width="173.25" height="28.5" align-x="204" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Initial estimate of the fitting parameters to Mathcad 13's optimized genfit. </text> </region> <region region-id="1981" left="36" top="522.75" width="147.75" height="15.75" align-x="68.25" align-y="534" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">coeff</ml:id> <ml:apply> <ml:genfit method="optimized levenberg-marquardt"/> <ml:sequence> <ml:id xml:space="preserve">mx</ml:id> <ml:id xml:space="preserve">my</ml:id> <ml:id xml:space="preserve">mg</ml:id> <ml:id xml:space="preserve">mf</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="1991" left="204" top="522.75" width="148.5" height="14.25" align-x="204" align-y="534" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Invoke Mathcad 13's new genfit. </text> </region> <region region-id="1999" left="36" top="555.75" width="97.5" height="57.75" align-x="67.5" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">coeff</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:matrix rows="3" cols="1"> <ml:real>-0.046799903397868936</ml:real> <ml:real>4.7420873619618131</ml:real> <ml:real>-1.7368425662718585</ml:real> </ml:matrix> </result> </ml:eval> </math> <rendering item-idref="7"/> </region> <region region-id="2000" left="204" top="576.75" width="174" height="28.5" align-x="204" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Fitting function coefficients returned by genfit. </text> </region> <region region-id="2001" left="0" top="618" width="6000" height="6" align-x="0" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="1951" left="6" top="642.75" width="318" height="14.25" align-x="6" align-y="654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Now plot fitting function and data points to see how good the fit looks. </text> </region> <region region-id="1993" left="36" top="684.75" width="189.75" height="17.25" align-x="67.5" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">m</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">coeff</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">coeff</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">coeff</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1954" left="6" top="738" width="419.25" height="217.5" align-x="6" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="9"/> <rendering item-idref="10"/> </region> <region region-id="1965" left="6" top="984.75" width="312.75" height="14.25" align-x="6" align-y="996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> The fit is snug and the Magnitude versus Mirror Angle function is </text> </region> <region region-id="1996" left="36" top="1014.75" width="186.75" height="15.75" align-x="66.75" align-y="1026" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:real>-1.737</ml:real> <ml:apply> <ml:mult style="default"/> <ml:real>4.742</ml:real> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>0.047</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="11"/> </region> <region region-id="1997" left="6" top="1064.25" width="371.25" height="54.75" align-x="6" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Reference [1] John, Randy, <inlineAttr underline="false">SKYSAT v0.65 by Randy John</inlineAttr> <inlineAttr underline="false">.</inlineAttr> <inlineAttr underline="false"> To see</inlineAttr> the graph IRID_PLOT2.htm, go to the second plot link at <inlineAttr underline="false">http://home.comcast.net/~skysat/</inlineAttr>. </text> </region> </regions> <binaryContent> <item item-id="1" 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