test01
Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
Beide Seiten der vorigen RevisionVorhergehende ÜberarbeitungNächste Überarbeitung | Vorhergehende ÜberarbeitungNächste ÜberarbeitungBeide Seiten der Revision | ||
test01 [2022/03/22 11:36] – torsten.roehl | test01 [2022/07/11 09:28] – torsten.roehl | ||
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Zeile 1: | Zeile 1: | ||
- | ====== Transit Lichtkurve ====== | + | ==AA== |
- | //Dieser Abschnitt zeigt die grundlegenden Eigenschaften einer Lichtkurve. | + | < |
- | Die hier eingeführten Begriffe, sind für spätere Analysen wichtig. | ||
- | |||
- | Zuerst untersuchten wir eine idealisierte Lichtkurve, diese existiert zwar nur theoretisch, | ||
- | |||
- | Die reale Lichtkurve beinhaltet noch weitere Effekte, wovon hier im Wesentlichen nur die Randverdunkelung (engl. Limb darkening), und die Abhängekit des beobachteten Lichts (Wellenlängenbereich) | ||
- | // | ||
- | ===== idealisierte Lichtkurve ===== | ||
- | |||
- | ==== Transitphasen ==== | ||
- | Es existieren zwei Hauptphasen. Die **Primärphase**, | ||
- | Es existiert aber noch ein zweiter (kleinerer) Transit, die sogenannten Sekundärphase. Für die Amateurastronomie ist diese | ||
- | aber nur vom theoretischen Interesse, denn schon die Primärphase | ||
- | Erwähnt werden soll noch, das weitere Objekte (z.B. Asteroiden oder Monde von Exoplaneten) ebenfalls eine Änderung der Lichtkurve bewirken. | ||
- | |||
- | ==== Lichtkurve ==== | ||
- | < | ||
- | ########################################################################################################## | ||
- | / | ||
- | / | ||
- | / | ||
- | / | ||
# | # | ||
# jsxgraph | # jsxgraph | ||
Zeile 28: | Zeile 7: | ||
https:// | https:// | ||
https:// | https:// | ||
- | # | + | |
- | # personal | + | |
- | # | + | |
- | / | + | |
- | / | + | |
- | ############################################################################################################ | + | |
</ | </ | ||
+ | hhjkjkj | ||
<JS> | <JS> | ||
- | var a = -7.0; | ||
- | var b = 0.0; | ||
- | var c = 0.0; | ||
- | var f; | ||
- | var planet; | ||
- | var brd; | ||
- | | + | JXG.JSXGraph.freeBoard(board); |
- | writeMainHeader(); | + | board = JXG.JSXGraph.initBoard('box',{originX:100, originY:100, unitX:1, unitY:1, axis:true}); |
- | + | board.create(' | |
- | /////////////// | + | |
- | + | ||
- | brd = JXG.JSXGraph.initBoard(' | + | |
- | + | ||
- | | + | |
- | | + | |
- | + | ||
- | | + | |
- | | + | |
- | | + | |
- | }), | + | |
- | //////////// | + | |
- | | + | |
- | | + | |
- | strokeColor: | + | |
- | size:78, | + | |
- | fixed: true, | + | |
- | fillColor: '# | + | |
- | fillOpacity: | + | |
- | // fillColor: | + | |
- | needsRegularUpdate: | + | |
- | name:'' | + | |
- | } | + | |
- | ); | + | |
- | //////////////////////// | + | |
- | | + | |
- | | + | |
- | ///////// flux time | + | |
- | | + | |
- | | + | |
- | | + | |
- | | + | |
- | ///////////////////////////////////////////////////////////////////////////////////// | + | |
- | // transit b = 0 center | + | |
- | //////////////////////////////////////////////////////////////////////////////////// | + | |
- | // b=0 values | + | |
- | var p1=-3.78; | + | |
- | var p2=-2.52; | + | |
- | var p3= 2.52; | + | |
- | var p4= 3.78; | + | |
- | // b = 1.5 values | + | |
- | var q1=-3.5; | + | |
- | var q2=-2.1; | + | |
- | var q3= 2.1; | + | |
- | var q4= 3.5; | + | |
- | + | ||
- | + | ||
- | // ingress time | + | |
- | function showMark(x){ | + | |
- | if ( b != 0 ) return; | + | |
- | | + | |
- | } | + | |
- | + | ||
- | brd.create('line',[[function(){return showMark(p1)}, | + | |
- | brd.create(' | + | |
- | brd.create(' | + | |
- | // egress time | + | |
- | brd.create(' | + | |
- | brd.create(' | + | |
- | brd.create(' | + | |
- | + | ||
- | //////////// | + | |
- | + | ||
- | | + | |
- | return | + | |
- | } | + | |
- | // line | + | |
- | brd.create(' | + | |
- | if (b != 0) return; | + | |
- | if( a < p1) { return a } | + | |
- | else{ return p1} | + | |
- | } ,-3]], | + | |
- | | + | |
- | // down | + | |
- | brd.create(' | + | |
- | if (b != 0) return; | + | |
- | if( a > p1 && a < p2) { return a } | + | |
- | else { if (a > p2) {return p2 }} | + | |
- | | + | |
- | if (b != 0) return; | + | |
- | if( a >p1 && a < p2) { return transit_0(a); | + | |
- | else { if (a >= p2) {return -5 }} | + | |
- | } | + | |
- | ]], {straightFirst: | + | |
- | // line | + | |
- | brd.create(' | + | |
- | if (b != 0) return; | + | |
- | if( a >p2 && a < p3) { return a } | + | |
- | else { if (a > p3) {return p3 }} | + | |
- | + | ||
- | } ,-5]], | + | |
- | | + | |
- | // up | + | |
- | | + | |
- | 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: | + | |
- | // line | + | |
- | brd.create(' | + | |
- | if (b != 0) return; | + | |
- | if( a > p4 && a <= 7) { return a; } | + | |
- | } ,-3]], | + | |
- | | + | |
- | + | ||
- | + | ||
- | /////////////////////////////////////////////////////////////////////////////////////// | + | |
- | // transit b = 1.5 | + | |
- | /////////////////////////////////////////////////////////////////////////////////////// | + | |
- | + | ||
- | + | ||
- | | + | |
- | return | + | |
- | } | + | |
- | // line | + | |
- | brd.create(' | + | |
- | if (b != 1.5) return; | + | |
- | if( a < q1) { return a } | + | |
- | else{ return q1} | + | |
- | } , | + | |
- | -3]], | + | |
- | | + | |
- | // down | + | |
- | brd.create(' | + | |
- | if (b != 1.5) return; | + | |
- | if( a >q1 && a < q2) { return a } | + | |
- | else { if (a > q2) {return q2 }} | + | |
- | | + | |
- | if (b != 1.5) return; | + | |
- | if( a >q1 && a < q2) { return transit_15(a); | + | |
- | else { if (a >= q2) {return -5 }} | + | |
- | } | + | |
- | ]], {straightFirst: | + | |
- | // line | + | |
- | brd.create(' | + | |
- | if (b != 1.5) return; | + | |
- | if( a >q2 && a < q3) { return a } | + | |
- | else { if (a > q3) {return q3 }} | + | |
- | + | ||
- | + | ||
- | } ,-5]], | + | |
- | | + | |
- | // up | + | |
- | | + | |
- | 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: | + | |
- | // line | + | |
- | brd.create(' | + | |
- | if (b != 1.5) return; | + | |
- | if( a <= 7 && a > q4) { return a; } | + | |
- | + | ||
- | } ,-3]], | + | |
- | | + | |
- | + | ||
- | + | ||
- | + | ||
- | /////////////////////////////// | + | |
- | // gracing trantic b=3 | + | |
- | // | + | |
- | var qq1 = -2.38; | + | |
- | var qq2 = 2.38; | + | |
- | // line | + | |
- | | + | |
- | if (b != 3 ) return; | + | |
- | if( a < qq1 ) { return a ;} | + | |
- | else{ return qq1;} | + | |
- | } ,-3]], | + | |
- | | + | |
- | + | ||
- | // | + | |
- | | + | |
- | return | + | |
- | } | + | |
- | + | ||
- | // down | + | |
- | brd.create(' | + | |
- | 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: | + | |
- | // up | + | |
- | + | ||
- | | + | |
- | 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: | + | |
- | + | ||
- | + | ||
- | // line | + | |
- | brd.create(' | + | |
- | if (b != 3 ) return; | + | |
- | if( a <= 7 && a >qq2) { return a; } | + | |
- | } ,-3]], | + | |
- | | + | |
- | + | ||
- | // | + | |
- | // no transit b = 4.5 | + | |
- | // | + | |
- | brd.create(' | + | |
- | if (b != 4.5) return; | + | |
- | if( a < 7) { return a; } | + | |
- | else{ return 7;} | + | |
- | + | ||
- | } ,-3]], | + | |
- | | + | |
- | + | ||
- | + | ||
- | // | + | |
- | // planet line | + | |
- | // | + | |
- | function fpos(x) { | + | |
- | return 5-x; | + | |
- | } | + | |
- | brd.create(' | + | |
- | {straightFirst: | + | |
- | + | ||
- | ////////////////////////////////////////////////////// | + | |
- | planet = brd.create(' | + | |
- | | + | |
- | size:14, | + | |
- | strokeColor: | + | |
- | fillColor: '# | + | |
- | // fillColor: | + | |
- | needsRegularUpdate: | + | |
- | name: '' | + | |
- | } | + | |
- | ); | + | |
- | + | ||
- | $("# | + | |
- | } | + | |
- | function onBetaChanged() { | + | |
- | a = parseFloat($("# | + | |
- | a = a*14 -7; | + | |
- | /// xpos = a*14-7; | + | |
- | $("# | + | |
- | brd.fullUpdate(); | + | |
- | + | ||
- | } | + | |
- | | + | |
- | b = parseFloat($("# | + | |
- | $("# | + | |
- | brd.fullUpdate(); | + | |
- | + | ||
- | } | + | |
</JS> | </JS> | ||
- | |||
- | |||
- | < | ||
- | |||
- | <body onload=" | ||
- | < | ||
- | < | ||
- | |||
- | |||
- | | ||
- | < | ||
- | </ | ||
- | |||
- | Idealisierte Lichtkurve. Ein Transit ist nur zu beobachten, wenn der Impaktparameter < | ||
- | Impaktparameter < | ||
- | <input id=" | ||
- | step=" | ||
- | <br> | ||
- | Zeit: & | ||
- | <input id=" | ||
- | step=" | ||
- | | ||
- | <div> | ||
- | <input type=" | ||
- | | ||
- | <label for=" | ||
- | |||
- | </ | ||
- | |||
- | |||
- | </ | ||
- | |||
- | </ | ||
- | </ | ||
- | ++++ Details | | ||
- | |||
- | < | ||
- | |||
- | <body onload=" | ||
- | <div> | ||
- | <input type=" | ||
- | | ||
- | <label for=" | ||
- | </ | ||
- | < | ||
- | |||
- | <div> | ||
- | <input type=" | ||
- | | ||
- | <label for=" | ||
- | < | ||
- | </ | ||
- | <div> | ||
- | <input type=" | ||
- | | ||
- | <label for=" | ||
- | < | ||
- | </ | ||
- | <div> | ||
- | <input type=" | ||
- | | ||
- | <label for=" | ||
- | <div> | ||
- | Die vier Zeiten $t_1, | ||
- | </ | ||
- | < | ||
- | < | ||
- | < | ||
- | </ | ||
- | |||
- | |||
- | <div> | ||
- | <input type=" | ||
- | | ||
- | <label for=" | ||
- | < | ||
- | < | ||
- | < | ||
- | </ | ||
- | <div> | ||
- | <input type=" | ||
- | | ||
- | <label for=" | ||
- | </ | ||
- | </ | ||
- | </ | ||
- | |||
- | |||
- | ++++ | ||
- | |||
- | |||
- | |||
- | |||
- | ===== reale Lichtkurve ===== | ||
- | |||
- | ==== Randverdunkelung (engl. limb darkening) und Sternenflecke ==== | ||
- | |||
- | ==== Die Abhängigkeit der verwendeten Wellenlänge $\lambda$ ==== | ||
- | |||
- | |||
- | |||
- | |||
- | |||
- | |||
- | |||
- | |||
- | |||
- |
test01.txt · Zuletzt geändert: 2022/07/11 09:57 von torsten.roehl