Amateur Astronomie

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====== Transit Lichtkurve ======
//Dieser Abschnitt zeigt die grundlegenden Eigenschaften einer Lichtkurve. 
Die hier eingeführten Begriffe und Größen, sind für spätere Analysen wichtig und lassen sich auch experimentell gewonnen (realen) Lichtkurven  bestimmen.
//
<WRAP center  box 100%>

<wrap hi>Übersicht Tutorial: [[cas-008|CAS-008: Exoplaneten]]</wrap>
</WRAP>

===== idealisierte Lichtkurve =====
<PRELOAD>
########################################################################################################## 
/lib/scripts/jqplot/jquery.jqplot.js
/lib/scripts/jqplot/jquery.jqplot.css    
/lib/scripts/jqplot/jquery.min.js        
/lib/scripts/jqplot/jquery.jqplot.min.js 
#
# jsxgraph
#
https://jsxgraph.org/distrib/jsxgraphcore.js
###https://cdn.jsdelivr.net/npm/jsxgraph/distrib/jsxgraphcore.js
##https://jsxgraph.org/distrib/jsxgraph.css
https://cdn.jsdelivr.net/npm/jsxgraph/distrib/jsxgraph.css
#
# personal 
#

############################################################################################################
</PRELOAD>


<JS>

 var a = -7.0;
 var b = 0.0;
 var c = 0.0;
 var f;
 var planet;
 var brd;
 ///////ctrl
 var onoff;
 var bText = true;
 var b1234 = true;
 var bTc   = true;
 var bImpact = true;
 var bDepth  = true;
 var bDuration = true;
  //////////

     function onInit() {
      

/////////////// BOARD 

 brd = JXG.JSXGraph.initBoard('jbox', {boundingbox: [-10, 10, 10, -10], 
          
           axis:false,
           grid:false,
          
           showNavigation:false,
           showCopyright:false,
           needsRegularUpdate:true
            }),
//////////// STAR 
   brd.create('point',[0,5],
           {face:'o',
            strokeColor: '#000',
            size:78,
            fixed: true,
            fillColor: '#FFFFE0',
            fillOpacity:0.3,
           // fillColor:JXG.hsv2rgb(60,1,1),
            needsRegularUpdate:true,
            name:''
            }
           );
////////////////////////
   brd.create('arrow', [ [-7,5],[8.5,5]] ,{dash:2,strokeColor:'#000'});
   brd.create('arrow', [ [0,-1],[0,9.5]] ,{dash:2,strokeColor:'#000'});
///////// flux time
   brd.create('arrow', [ [-7,-9],[-7,-1]] ,{strokeColor:'#000'});  
   brd.create('arrow', [ [-7,-9],[9,-9]] ,{strokeColor:'#000'});  
   brd.create('text',[-8,-0.5,"Helligkeit"]);
   brd.create('text',[8.5,-8,"Zeit"]);
/////////////////////////////////////////////////////////////////////////////////////
//  transit b = 0 center 
////////////////////////////////////////////////////////////////////////////////////
  // b=0 values
  var p1=-3.8;
  var p2=-2.5;
  var p3= 2.5;
  var p4= 3.8;
  // b = 1.5 values
  var q1=-3.45;
  var q2=-2.15;
  var q3= 2.15;
  var q4= 3.45;


 // ingress time
    brd.create('text',[2,8,"Stern (Hoststar)"],{ visible: function() {return bText;}});

  function funcShow0(x){
       if ( b == 0 && bText && b1234 && a >  x) return true;       
       return false;
  }

   function funcShow15(x){
       if ( b == 1.5 && bText && b1234 && a > x) return true;       
       return false;
  }

///////  TC
  function showTC(){ 
   if (bText && bTc && b < 3 && a > 0) return true;
   return false;
}
brd.create('line',[[0,-5],[0,-5.5]] ,{  visible: function() {return showTC();},
needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#000'}); 
  brd.create('text',[-0.1,-5.8,"T_c"],{ visible: function() { return showTC();},needsRegularUpdate:true});

/////// Duration ////////////////////////////////////////////////
function showDuration1(x){ 
   if (bText && bDuration && b == 0 && a > p4) return true;
   return false;
}

 brd.create('text',[-1.5,-1.1,"T_{tot}"],{ visible: function() { return showDuration1();},needsRegularUpdate:true});
 brd.create('text',[-0.1,-2,"T"],{ visible: function() { return showDuration1();},needsRegularUpdate:true});
 brd.create('text',[0.6,-2.7,"T_{full}"],{ visible: function() { return showDuration1();},needsRegularUpdate:true});

function showDuration2(x){ 
   if (bText && bDuration && b == 1.5 && a > q4) return true;
   return false;
}

 brd.create('text',[-1.5,-1.1,"T_{tot}"],{ visible: function() { return showDuration2();},needsRegularUpdate:true});
 brd.create('text',[-0.1,-2,"T"],{ visible: function() { return showDuration2();},needsRegularUpdate:true});
 brd.create('text',[0.6,-2.7,"T_{full}"],{ visible: function() { return showDuration2();},needsRegularUpdate:true});





/////// Depth /////////////////////////////////////////////////////////////
function showDepth(){ 
   if (bText && bDepth && b < 3 && a > 5) return true;
   return false;
}
brd.create('arrow', [ [5,-4],[5,-3]] ,{visible: function() {return showDepth();},strokeColor:'#000'});
brd.create('arrow', [ [5,-4],[5,-5]] ,{visible: function() {return showDepth();},strokeColor:'#000'});

brd.create('line',[[-6,-5],[6,-5]] ,{  visible: function() {return showDepth();},
needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'}); 

 brd.create('text',[5.5,-4,"ΔF"],{ visible: function() { return showDepth();},needsRegularUpdate:true});

/////// Impact ////////////////////////////////////////////////////////////////

function showImpact0(){ 
   if (bText && bImpact && b == 0) return true;
   return false;
}
 brd.create('text',[0.5,5.5,"b"],{ visible: function() { return showImpact0();},needsRegularUpdate:true});
 brd.create('arrow', [ [0,5+0.8],[0,5]] ,{visible: function() {return showImpact0();},strokeColor:'#000'});
 brd.create('arrow', [ [0,5-0.8],[0,5]] ,{visible: function() {return showImpact0();},strokeColor:'#000'});

//
function showImpact15(){ 
   if (bText && bImpact && b == 1.5) return true;
   return false;
}
 brd.create('text',[0.5,4.2,"b"],{ visible: function() { return showImpact15();},needsRegularUpdate:true});
 brd.create('arrow', [ [0,5-0.8],[0,5]] ,{visible: function() {return showImpact15();},strokeColor:'#000'});
 brd.create('arrow', [ [0,5-0.8],[0,5-1.5]] ,{visible: function() {return showImpact15();},strokeColor:'#000'});
//

function showImpact3(){ 
   if (bText && bImpact && b == 3.0) return true;
   return false;
}
 brd.create('text',[0.5,5-1.5,"b"],{ visible: function() { return showImpact3();},needsRegularUpdate:true});
 brd.create('arrow', [ [0,5-0.8],[0,5]] ,{visible: function() {return showImpact3();},strokeColor:'#000'});
 brd.create('arrow', [ [0,5-0.8],[0,5-3]] ,{visible: function() {return showImpact3();},strokeColor:'#000'});

//

function showImpact45(){ 
   if (bText && bImpact && b == 4.5) return true;
   return false;
}
 brd.create('text',[0.5,5-2.2,"b"],{ visible: function() { return showImpact45();},needsRegularUpdate:true});
 brd.create('arrow', [ [0,5-0.8],[0,5]] ,{visible: function() {return showImpact45();},strokeColor:'#000'});
 brd.create('arrow', [ [0,5-0.8],[0,5-4.5]] ,{visible: function() {return showImpact45();},strokeColor:'#000'});





////////////////////////7

brd.create('text',[p1-0.1,-8,"t_1"],{ visible: function() { return funcShow0(p2);},needsRegularUpdate:true});
brd.create('text',[p2-0.1,-8,"t_2"],{ visible: function() { return funcShow0(p2);},needsRegularUpdate:true});
brd.create('text',[p3-0.1,-8,"t_3"],{ visible: function() { return funcShow0(p4);},needsRegularUpdate:true});
brd.create('text',[p4-0.1,-8,"t_4"],{ visible: function() { return funcShow0(p4);},needsRegularUpdate:true});
 

brd.create('arrow', [ [p1+(p2-p1)/2,-7.3],[p2,-7.3]] ,{visible: function() {return funcShow0(p2);},strokeColor:'#000'});
brd.create('arrow', [ [p1+(p2-p1)/2,-7.3],[p1,-7.3]] ,{visible: function() {return funcShow0(p2);},strokeColor:'#000'});

brd.create('text',[p1 -0.5,-7.3,"&tau;"],{label: {useMathJax: true}, visible: function() { return funcShow0(p2);},needsRegularUpdate:true});
////////////////////////////  b = 0
// t tot
brd.create('arrow', [ [p1+(p4-p1)/2,-1.5],[p4,-1.5]] ,{visible: function() {return showDuration1();},strokeColor:'#000'});
brd.create('arrow', [ [p1+(p4-p1)/2,-1.5],[p1,-1.5]] ,{visible: function() {return showDuration1();},strokeColor:'#000'});
// t
pl = (p2-p1)/2+p1;
pr = (p4-p3)/2+p3;
mp = p1+(p4-p1)/2;
brd.create('arrow', [ [mp,-2.3],[pl,-2.3]] ,{visible: function() {return showDuration1();},strokeColor:'#000'});
brd.create('arrow', [ [mp,-2.3],[pr,-2.3]] ,{visible: function() {return showDuration1();},strokeColor:'#000'});
// tfull
brd.create('arrow', [ [p2+(p3-p2)/2,-3.1],[p3,-3.1]] ,{visible: function() {return showDuration1();},strokeColor:'#000'});
brd.create('arrow', [ [p2+(p3-p2)/2,-3.1],[p2,-3.1]] ,{visible: function() {return showDuration1();},strokeColor:'#000'});
////////////////////////////  b = 1.5
// t tot
brd.create('arrow', [ [q1+(q4-q1)/2,-1.5],[q4,-1.5]] ,{visible: function() {return showDuration2();},strokeColor:'#000'});
brd.create('arrow', [ [q1+(q4-q1)/2,-1.5],[q1,-1.5]] ,{visible: function() {return showDuration2();},strokeColor:'#000'});
// t
ql = (q2-q1)/2+q1;
qr = (q4-q3)/2+q3;
mq = q1+(q4-q1)/2;
brd.create('arrow', [ [mq,-2.3],[ql,-2.3]] ,{visible: function() {return showDuration2();},strokeColor:'#000'});
brd.create('arrow', [ [mq,-2.3],[qr,-2.3]] ,{visible: function() {return showDuration2();},strokeColor:'#000'});
// tfull
brd.create('arrow', [ [q2+(q3-q2)/2,-3.1],[q3,-3.1]] ,{visible: function() {return showDuration2();},strokeColor:'#000'});
brd.create('arrow', [ [q2+(q3-q2)/2,-3.1],[q2,-3.1]] ,{visible: function() {return showDuration2();},strokeColor:'#000'});




  brd.create('line',[[p1,5],[p1,-7.5]] ,{  visible: function() {return funcShow0(p2);},
needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'}); 
  brd.create('line',[[-3.15,5],[-3.15,-6.5]] ,{visible: function() {return funcShow0(p2);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  
  brd.create('line',[[p2,5],[p2,-7.5]] ,{visible: function() {return funcShow0(p2);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  

  // egress time
  brd.create('line',[[p4,5],[p4,-7.5]] ,{visible: function() {return funcShow0(p4);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'}); 
  brd.create('line',[[3.15,5],[3.15,-6.5]] ,{visible: function() {return funcShow0(p4);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  
  brd.create('line',[[p3,5],[p3,-7.5]] ,{visible: function() {return funcShow0(p4);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  

////////////

 brd.create('text',[q1-0.1,-8,"t_1"],{ visible: function() { return funcShow15(q2);},needsRegularUpdate:true});
 brd.create('text',[q2-0.1,-8,"t_2"],{ visible: function() { return funcShow15(q2);},needsRegularUpdate:true});
 brd.create('text',[q3-0.1,-8,"t_3"],{ visible: function() { return funcShow15(q4);},needsRegularUpdate:true});
 brd.create('text',[q4-0.1,-8,"t_4"],{ visible: function() { return funcShow15(q4);},needsRegularUpdate:true});
 

 

brd.create('arrow', [ [q1+(q2-q1)/2,-7.3],[q2,-7.3]] ,{visible: function() {return funcShow15(q2);},strokeColor:'#000'});
brd.create('arrow', [ [q1+(q2-q1)/2,-7.3],[q1,-7.3]] ,{visible: function() {return funcShow15(q2);},strokeColor:'#000'});

brd.create('text',[q1 -0.5,-7.3,"&tau;"],{label: {useMathJax: true}, visible: function() { return funcShow15(q2);},needsRegularUpdate:true});


  brd.create('line',[[q1,3.5],[q1,-7.5]] ,{  visible: function() {return funcShow15(q2);},
needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'}); 
  brd.create('line',[[-2.8,3.5],[-2.8,-6.5]] ,{visible: function() {return funcShow15(q2);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  
  brd.create('line',[[q2,3.5],[q2,-7.5]] ,{visible: function() {return funcShow15(q2);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  
  // egress time
  brd.create('line',[[q4,3.5],[q4,-7.5]] ,{visible: function() {return funcShow15(q4);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'}); 
  brd.create('line',[[2.8,3.5],[2.8,-6.5]] ,{visible: function() {return funcShow15(q4);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  
  brd.create('line',[[q3,3.5],[q3,-7.5]] ,{visible: function() {return funcShow15(q4);},needsRegularUpdate:true,strokeWidth:1,straightFirst:false, straightLast:false,strokeColor:'#D3D3D3'});  

/////////////////////////////////////
         function transit_0(x) {          
          return  -2.0/(p4-p3)*x -8.8461538461538;
         }
// line
    brd.create('line',[[-7,-3],[ function(){
           if (b != 0) return; 
           if( a < p1) { return a }
           else{ return p1}       
         } ,-3]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
// down
    brd.create('line',[[p1,-3],[ function(){ 
            if (b != 0) return; 
           if( a > p1 && a < p2) { return a }
           else { if (a > p2) {return p2 }}             
         },function(){ 
                if (b != 0) return; 
                if( a >p1 && a < p2) { return transit_0(a); }
                else { if (a >= p2) {return -5 }}         
                }
]],  {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
 // line
    brd.create('line',[[p2,-5],[ function(){ 
         if (b != 0) return; 
           if( a >p2 && a < p3) { return a }
           else { if (a > p3) {return p3 }}         
       
         } ,-5]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
// up
   brd.create('line',[[p3,-5],[ function(){ 
           if (b != 0) return; 
           if( a > p3 && a <= p4) { return a; }
           else { if (a > p4) {return p4; }}        
       
         } , function(){ 
                if (b != 0) return; 
                if( a > p3 && a < p4) { return transit_0(-a); }
                else { if (a >= p4) {return -3; }}         
                }]],      {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
 // line
    brd.create('line',[[p4,-3],[ function(){ 
             if (b != 0) return; 
             if( a > p4 && a <= 7) { return a; }               
         } ,-3]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 


  ///////////////////////////////////////////////////////////////////////////////////////
  // transit b = 1.5
  ///////////////////////////////////////////////////////////////////////////////////////
 

         function transit_15(x) {
          return  -2.0/(q4-q3)*x -8.307692307692307;
         }
// line
    brd.create('line',[[-7,-3],[ function(){
           if (b != 1.5) return; 
           if( a < q1) { return a }
           else{ return q1}       
         } ,
-3]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
// down
    brd.create('line',[[q1,-3],[ function(){ 
            if (b != 1.5) return; 
           if( a >q1 && a < q2) { return a }
           else { if (a > q2) {return q2 }}             
         },function(){ 
                if (b != 1.5) return; 
                if( a >q1 && a < q2) { return transit_15(a); }
                else { if (a >= q2) {return -5 }}         
                }
]],  {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
 // line
    brd.create('line',[[q2,-5],[ function(){ 
         if (b != 1.5) return; 
           if( a >q2 && a < q3) { return a }
           else { if (a > q3) {return q3 }}
         
       
         } ,-5]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
// up
   brd.create('line',[[q3,-5],[ function(){ 
           if (b != 1.5) return; 
           if( a >q3 && a <= q4) { return a; }
           else { if (a > q4) {return q4; }}        
       
         } , function(){ 
                if (b != 1.5) return; 
                if( a > q3 && a < q4) { return transit_15(-a); }
                else { if (a >= q4) {return -3; }}         
                }]],      {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
 // line
    brd.create('line',[[q4,-3],[ function(){ 
             if (b != 1.5) return; 
             if( a <= 7 && a > q4) { return a; }        
       
         } ,-3]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 



  ///////////////////////////////
  // gracing trantic b=3
  //
   var qq1 = -2.38;
   var qq2 = 2.38;
      // line
       brd.create('line',[[-7,-3],[ function(){
           if (b != 3 ) return;             
           if( a < qq1 ) { return a ;}   
           else{ return qq1;}                  
         } ,-3]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 

        //
         function gracing(x) {
          return  -1.0/2.38*x  -4;
         }

         // down
        brd.create('line',[[qq1,-3],[ function(){ 
                if (b != 3) return; 
                if( a > qq1 && a < 0) { return a; }
                else { if (a >= 0) {return 0 }}         
                } ,  function(){ 
                if (b != 3) return; 
                if( a > qq1 && a < 0) { return gracing(a); }
                else { if (a >= 0) {return -4 }}         
                }

                  ]], {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
        // up
       
           brd.create('line',[[0,-4],[ function(){ 
                if (b != 3) return; 
                if( a >0 && a < qq2) { return a; }
                else { if (a >= qq2) {return qq2 }}         
                } ,  function(){ 
                if (b != 3) return; 
                if( a > 0 && a < qq2) { return gracing(-a); }
                else { if (a >= qq2) {return -3 }}         
                }   ]], {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 


        // line
        brd.create('line',[[qq2,-3],[ function(){
           if (b != 3 ) return;             
           if( a <= 7 && a >qq2) { return a; }               
           } ,-3]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 
 
 //
  // no transit b = 4.5
  // 
      brd.create('line',[[-7,-3],[ function(){
           if (b != 4.5) return; 
           if( a < 7) { return a; }
           else{ return 7;}
       
         } ,-3]], 
         {straightFirst:false, straightLast:false, strokeWidth:4, needsRegularUpdate:true}); 

  
  //
  // planet line 
  // 
  function fpos(x) {
  return 5-x;
   }
      brd.create('line',[[-7, function(){ return fpos(b)}],[ 7,function(){ return fpos(b)}]], 
    {straightFirst:false, strokeColor: '#808080',straightLast:false, strokeWidth:1,dash:2, needsRegularUpdate:true}); 
   
//////////////////////////////////////////////////////
    planet = brd.create('point',[function(){ return a}, function() { return 5-b}],
           {face:'o',
            size:14,
            strokeColor: '#000',
            fillColor: '#000',
//            fillColor:JXG.hsv2rgb(0,0,0),
            needsRegularUpdate:true,
             name: ''
            }
           );

    $("#betaOut").text(a.toFixed(2));
}


function beschriftungChanged(value) {
            if (value.checked ){
              bText = true;             
            }else { bText = false ;}   
           
            brd.fullUpdate();            
        }  

function onoffChanged(source) {
     checkboxes = document.getElementsByName('foo');
     for(var i=0, n=checkboxes.length;i<n;i++) {
             checkboxes[i].checked = source.checked;
             /////
             if( i == 0 ) onImpaktChanged(source);
             if( i == 1 ) onDepthChanged(source);
             if( i == 2 ) on1234Changed(source);
             if( i == 3 ) onDurationChanged(source);
             if( i == 4 ) onTcChanged(source);
            
          }  
      brd.fullUpdate();         
     }  

function on1234Changed(value) {
            if (value.checked ){
              b1234 = true;             
            }else { b1234 = false ;}   
           
            brd.fullUpdate();    
        } 

function onTcChanged(value) {
            if (value.checked ){
              bTc = true;             
            }else { bTc = false ;} 
          
            brd.fullUpdate();    
        } 
 
function onBetaChanged() {
            a = parseFloat($("#betaSlider").val());
            a = a*14 -7;
          ///  xpos = a*14-7;
            $("#betaOut").text(a.toFixed(2));
            brd.fullUpdate();
            
        }
function onBChanged() {
            b = parseFloat($("#bSlider").val());           
            $("#bOut").text(b.toFixed(2));
            brd.fullUpdate();
            
        } 

function onImpaktChanged(value)  { 
            if (value.checked ){
              bImpact = true;             
            }else { bImpact = false ;}              
            brd.fullUpdate();    
        } 
function onDepthChanged(value) { 
          if (value.checked ){
              bDepth = true;             
            }else { bDepth = false ;} 
            brd.fullUpdate();    
        } 

function onDurationChanged(value) {
         if (value.checked ){
              bDuration = true;             
            }else { bDuration = false ;}         
            brd.fullUpdate();    
        } 

</JS>


<HTML>

<body onload="onInit()">
<center>
<section>

   
    
               <div id="jbox" class="jxgbox" style="width:400px; height:400px;"></div>
</center> 
           
            Idealisierte Lichtkurve. Ein Transit ist nur zu beobachten, wenn der Impaktparameter <b>b</b> nicht zu groß ist,. <br>Einstellungen<br><br>
            Impaktparameter <b>b</b>: 
          <input id="bSlider" type="range" min="0.0" max="4.5" value="0.0"
                step="1.5" style="width:250px" oninput="onBChanged()"> 
            <br>
            Zeit: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
            <input id="betaSlider" type="range" min="0.0" max="1.0" value="0.0"
                step="0.01" style="width:250px" oninput="onBetaChanged()">  
    
<div>
  <input type="checkbox" id="beschriftung" name="beschriftung"
         checked onchange="beschriftungChanged(this)">
  <label for="beschriftung">Beschriftung</label>

</div>


</section>   


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 <HTML>

<div>
  <input type="checkbox" id="onoff" name="onoff" onchange="onoffChanged(this)"
         checked>
  <label for="onoff">alle markieren</label>
</div>
<br> 

<div>
  <input type="checkbox"  name="foo" onchange="onImpaktChanged(this)"
         checked>
  <label for="scales">Impaktparameter: b</label>
<div>Der Impaktparameter bestimmt ob ein Transit stattfinden kann. Während b=0 bedeutet, dass der Transit durch die Mitte des Sterns verläuft, verringert sich die Transitzeiten wenn b größer wird. Ein Randtransit (engl. gracing Transit) erzeugt nur noch eine V-Kurve. Noch größeres b erzeugt keinen Transit mehr. Der Impaktparameter ist mit weiteren wichtigen Parametern z.B. die sogenannte Inklination $i$ verknüpft, auf die wie später zurückkommen.</div>
</div>
<div>
  <input type="checkbox"  name="foo" onchange="onDepthChanged(this)"
         checked>
  <label for="scales">Transittiefe: $\delta$ oder ($\Delta F$) </label> 
<div>Diese Größe ist experimentell zu bestimmen und liefert wichtige physikalische Parameter, z.B. ergibt sich unmittelbar aus $\Delta F$ das verhältnis der Radien von Stern und Planet.</div>
</div>
<div>
  <input type="checkbox"  name="foo"
         checked onchange="on1234Changed(this)">
  <label for="t1234">$t_1$, $t_2$ und $t_3$,  $t_4$</label>
<div>
Die vier Zeiten $t_1,t_2,t_3,t_4$ beschreiben das Eintauchen (engl. ingress) und Auftauchen (engl. egress) in den Transit
</div>
<div>$\tau_{ing}=t_2-t1$&emsp;</div>
<div>$\tau_{egr}=t_4-t3$&emsp;</div>
<div>$\tau = \tau_{ing} = \tau_{egr}$  &emsp;  Die Annahme, dass die Ingress-/Egresszeiten gleich lang sind, gilt für exzentrische Bahnen im allgemeinen nicht, der hierdurch entstehende Fehler ist aber in der Regel sehr klein.
</div>


<div>
  <input type="checkbox"  name="foo" onchange="onDurationChanged(this)"
         checked>
  <label for="scales">Transitdauer (engl. trasit duration)</label> 
<div>$T_{tot}=t_4-t_1$ &emsp; totale Transitdauer</div>
<div>$T_{full}=t_3-t_2$ &emsp; volle Transitdauer </div>
<div>$T=T_{tot}-\tau$ &emsp; Zeispanne zwischen den Kontaktlienien (halbe Ingrees/Egress Positon)r </div>
</div>
<div>
  <input type="checkbox"  name="foo" onchange="onTcChanged(this)"
         checked>
  <label for="for">$T_c$ &emsp; Die Mitte (engl. center oder midpoints) des Transits. </label>
</div>
</body>
</HTML>


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