An alternate view of the solar terminator.
-
-
Save liesen/6874818 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
<!DOCTYPE html> | |
<meta charset="utf-8"> | |
<style> | |
body { | |
background: #fcfcfa; | |
} | |
.sun { | |
fill: red; | |
} | |
.stroke { | |
fill: #fff; | |
stroke: #000; | |
stroke-width: 1.5px; | |
} | |
.land { | |
fill: #222; | |
} | |
</style> | |
<body> | |
<script src="http://d3js.org/d3.v3.min.js"></script> | |
<script src="http://d3js.org/topojson.v1.min.js"></script> | |
<script> | |
var width = 960, | |
height = 960; | |
var π = Math.PI, | |
radians = π / 180, | |
degrees = 180 / π; | |
var projection = d3.geo.orthographic() | |
.clipAngle(90) | |
.scale(475) | |
.translate([width / 2, height / 2]) | |
.precision(.1); | |
var path = d3.geo.path() | |
.projection(projection); | |
var svg = d3.select("body").append("svg") | |
.attr("width", width) | |
.attr("height", height); | |
svg.append("circle") | |
.attr("class", "stroke") | |
.attr("transform", "translate(" + width / 2 + "," + height / 2 + ")") | |
.attr("r", projection.scale()); | |
svg.append("circle") | |
.attr("class", "sun") | |
.attr("transform", "translate(" + width / 2 + "," + height / 2 + ")") | |
.attr("r", 2.5); | |
d3.json("/mbostock/raw/4090846/world-50m.json", function(error, world) { | |
var land = svg.insert("path", ".sun") | |
.datum(topojson.feature(world, world.objects.land)) | |
.attr("class", "land") | |
.attr("d", path); | |
var date = new Date(); | |
var dt = 3 * 60 * 1000; | |
redraw(); | |
setInterval(redraw, 50); | |
function redraw() { | |
var position = solarPosition(date); | |
projection.rotate([-position[0], -position[1]]); | |
land.attr("d", path); | |
date = new Date(date.getTime() + dt); | |
} | |
}); | |
function solarPosition(time) { | |
var centuries = (time - Date.UTC(2000, 0, 1, 12)) / 864e5 / 36525, // since J2000 | |
longitude = (d3.time.day.utc.floor(time) - time) / 864e5 * 360 - 180; | |
return [ | |
longitude - equationOfTime(centuries) * degrees, | |
solarDeclination(centuries) * degrees | |
]; | |
} | |
// Equations based on NOAA’s Solar Calculator; all angles in radians. | |
// http://www.esrl.noaa.gov/gmd/grad/solcalc/ | |
function equationOfTime(centuries) { | |
var e = eccentricityEarthOrbit(centuries), | |
m = solarGeometricMeanAnomaly(centuries), | |
l = solarGeometricMeanLongitude(centuries), | |
y = Math.tan(obliquityCorrection(centuries) / 2); | |
y *= y; | |
return y * Math.sin(2 * l) | |
- 2 * e * Math.sin(m) | |
+ 4 * e * y * Math.sin(m) * Math.cos(2 * l) | |
- 0.5 * y * y * Math.sin(4 * l) | |
- 1.25 * e * e * Math.sin(2 * m); | |
} | |
function solarDeclination(centuries) { | |
return Math.asin(Math.sin(obliquityCorrection(centuries)) * Math.sin(solarApparentLongitude(centuries))); | |
} | |
function solarApparentLongitude(centuries) { | |
return solarTrueLongitude(centuries) - (0.00569 + 0.00478 * Math.sin((125.04 - 1934.136 * centuries) * radians)) * radians; | |
} | |
function solarTrueLongitude(centuries) { | |
return solarGeometricMeanLongitude(centuries) + solarEquationOfCenter(centuries); | |
} | |
function solarGeometricMeanAnomaly(centuries) { | |
return (357.52911 + centuries * (35999.05029 - 0.0001537 * centuries)) * radians; | |
} | |
function solarGeometricMeanLongitude(centuries) { | |
var l = (280.46646 + centuries * (36000.76983 + centuries * 0.0003032)) % 360; | |
return (l < 0 ? l + 360 : l) / 180 * π; | |
} | |
function solarEquationOfCenter(centuries) { | |
var m = solarGeometricMeanAnomaly(centuries); | |
return (Math.sin(m) * (1.914602 - centuries * (0.004817 + 0.000014 * centuries)) | |
+ Math.sin(m + m) * (0.019993 - 0.000101 * centuries) | |
+ Math.sin(m + m + m) * 0.000289) * radians; | |
} | |
function obliquityCorrection(centuries) { | |
return meanObliquityOfEcliptic(centuries) + 0.00256 * Math.cos((125.04 - 1934.136 * centuries) * radians) * radians; | |
} | |
function meanObliquityOfEcliptic(centuries) { | |
return (23 + (26 + (21.448 - centuries * (46.8150 + centuries * (0.00059 - centuries * 0.001813))) / 60) / 60) * radians; | |
} | |
function eccentricityEarthOrbit(centuries) { | |
return 0.016708634 - centuries * (0.000042037 + 0.0000001267 * centuries); | |
} | |
d3.select(self.frameElement).style("height", height + "px"); | |
</script> |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment