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Clock based on the Degrees, Minutes, and Seconds where the sun is overhead.

This clock's "hour" hand is really a degree hand. It points to the longitude where it is solar noon. The minutes and seconds point to the minutes and seconds of the location where it is solar noon. This is partly bases off of New Earth Time, but adjusted to fit geography more.

Based off of: bl.ocks.org/tomgp/6475678 http://bl.ocks.org/mbostock/4364903 and http://bl.ocks.org/mbostock/4597134

TODO: Make the clock less hard coded between the northern and southern hemisphere.

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<!DOCTYPE html>
<meta charset="utf-8">
<style>
body {
background: #fff;
}
.nightN {
stroke: DarkGray;
fill: DarkGray;
fill-opacity: .3;
}
.nightS {
stroke: steelblue;
fill: steelblue;
fill-opacity: .3;
}
.second-hand{
stroke-width:3;
stroke: #000;
stroke-opacity: .5;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.minute-hand{
stroke-width:8;
stroke-linecap:round;
stroke: #000;
stroke-opacity: .5;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.degree-hand{
stroke-width:12;
stroke-linecap:round;
stroke: #000;
stroke-opacity: .5;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.hands-cover{
stroke-width:3;
fill:#fff;
stroke: #000;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.second-tick{
stroke-width:3;
fill:#000;
stroke: #000;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.degree-tick{
stroke-width:8;
stroke: #000;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.second-label{
font-size: 12px;
stroke: #000;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.degree-label{
font-size: 22px;
stroke: #000;
font-family: "HelveticaNeue-Light", "Helvetica Neue Light", "Helvetica Neue", Helvetica, Arial, "Lucida Grande", sans-serif;
}
.stroke {
fill: none;
stroke: #000;
stroke-width: 3px;
}
.fill {
fill: #fff;
}
.graticule {
fill: none;
stroke: #777;
stroke-width: .5px;
stroke-opacity: .5;
}
.land {
fill: #222;
}
.boundary {
fill: none;
stroke: #fff;
stroke-width: .5px;
}
</style>
<body>
<script src="d3.v3.min.js"></script>
<script src="topojson.v1.min.js"></script>
<script>
// var oldDate = Date;
// var fakeTime = '2011-10-10T14:48:00';
// Date = function (fake)
// {
// return new oldDate(fakeTime);
// }
// Date.UTC = function (fake)
// {
// return new oldDate(fakeTime).getTime();
// }
// Date.now = function (fake)
// {
// return new oldDate(fakeTime).getTime();
// }
var refresh = 250, //milliseconds
radians = 0.0174532925,
clockRadius = 130,
margin = 75,
width = (clockRadius+margin)*2,
height = (clockRadius+margin)*2,
degreeHandLength = 2*clockRadius/3,
minuteHandLength = clockRadius,
secondHandLength = clockRadius-12,
secondHandBalance = 30,
secondTickStart = clockRadius,
secondTickLength = -10,
degreeTickStart = clockRadius,
degreeTickLength = -18,
secondLabelRadius = clockRadius + 16,
secondLabelYOffset = 5,
degreeLabelRadius = clockRadius + 40,
degreeLabelYOffset = 7,
π = Math.PI,
radians = π / 180,
degrees = 180 / π;
var circleN = d3.geo.circle()
.angle(90);
var circleS = d3.geo.circle()
.angle(90);
var degreeScaleN = d3.scale.linear()
.range([0,359])
.domain([0,359]);
var minuteScaleN = secondScaleN = d3.scale.linear()
.range([0,354])
.domain([0,59]);
var degreeScaleS = d3.scale.linear()
.range([0,359])
.domain([359,0]);
var minuteScaleS = secondScaleS = d3.scale.linear()
.range([0,354])
.domain([0,59]);
var handData = [
{
type:'degree',
value:0,
length:-degreeHandLength,
scaleN:degreeScaleN,
scaleS:degreeScaleS
},
{
type:'minute',
value:0,
length:-minuteHandLength,
scaleN:minuteScaleN,
scaleS:minuteScaleS
},
{
type:'second',
value:0,
length:-secondHandLength,
scaleN:secondScaleN,
scaleS:secondScaleS,
balance:secondHandBalance
}
];
var projection = d3.geo.azimuthalEqualArea()
.scale(clockRadius/2)
.rotate([180,-90])
// .clipAngle(180 - 90 + 23.4370998) // to the opposite tropic
.clipAngle(180 - 30) // As does the United nations, so do we
.translate([width / 2, height / 2])
.precision(.1);
// var projection = d3.geo.orthographic()
// .scale(clockRadius)
// .translate([width/2,width/2])
// .clipAngle(90)
// .precision(.1);
var path = d3.geo.path()
.projection(projection);
var graticule = d3.geo.graticule();
graticule.step([45,30]); // UN again
var svgN = d3.select("body").append("svg")
.attr("id", "clockN")
.attr("width", width)
.attr("height", height);
svgN.append("defs").append("path")
.datum({type: "Sphere"})
.attr("id", "sphere")
.attr("d", path);
svgN.append("use")
.attr("class", "stroke")
.attr("xlink:href", "#sphere");
svgN.append("use")
.attr("class", "fill")
.attr("xlink:href", "#sphere");
svgN.append("path")
.datum(graticule)
.attr("class", "graticule")
.attr("d", path);
var nightN = svgN.append("path")
.attr("class", "nightN")
.attr("d", path);
var faceN = svgN.append('g')
.attr('id','clock-face')
.attr('transform','translate(' + (clockRadius + margin) + ',' + (clockRadius + margin) + ')');
//add marks for seconds
faceN.selectAll('.second-tick')
.data(d3.range(0,60)).enter()
.append('line')
.attr('class', 'second-tick')
.attr('x1',0)
.attr('x2',0)
.attr('y1',secondTickStart)
.attr('y2',secondTickStart + secondTickLength)
.attr('transform',function(d){
return 'rotate(' + secondScaleN(d) + ')';
});
//and labels
faceN.selectAll('.second-label')
.data(d3.range(5,61,5))
.enter()
.append('text')
.attr('class', 'second-label')
.attr('text-anchor','middle')
.attr('x',function(d){
return secondLabelRadius*Math.sin(secondScaleN(d)*radians);
})
.attr('y',function(d){
return -secondLabelRadius*Math.cos(secondScaleN(d)*radians) + secondLabelYOffset;
})
.text(function(d){
return d;
});
//... and degrees
faceN.selectAll('.degree-tick')
.data(d3.range(180,-179,-30)).enter()
.append('line')
.attr('class', 'degree-tick')
.attr('x1',0)
.attr('x2',0)
.attr('y1',degreeTickStart)
.attr('y2',degreeTickStart + degreeTickLength)
.attr('transform',function(d){
return 'rotate(' + d + ')';
});
faceN.selectAll('.degree-label')
.data(d3.range(180,-180,-30))
.enter()
.append('text')
.attr('class', 'degree-label')
.attr('text-anchor','middle')
.attr('x',function(d){
return degreeLabelRadius*Math.sin(d*radians);
})
.attr('y',function(d){
return -degreeLabelRadius*Math.cos(d*radians) + degreeLabelYOffset;
})
.text(function(d){
return d == 180 ? "±" + d : - d;
});
var handsN = faceN.append('g').attr('id','clock-hands');
faceN.append('g').attr('id','face-overlay')
.append('circle').attr('class','hands-cover')
.attr('x',0)
.attr('y',0)
.attr('r',clockRadius/20);
handsN.selectAll('line')
.data(handData)
.enter()
.append('line')
.attr('class', function(d){
return d.type + '-hand';
})
.attr('x1',0)
.attr('y1',function(d){
return d.balance ? d.balance : 0;
})
.attr('x2',0)
.attr('y2',function(d){
return d.length;
})
.attr('transform',function(d){
return 'rotate('+ d.scaleN(d.value) +')';
});
var svgS = d3.select("body").append("svg")
.attr("id", "clockS")
.attr("width", width)
.attr("height", height);
svgS.append("defs").append("path")
.datum({type: "Sphere"})
.attr("id", "sphere")
.attr("d", path);
svgS.append("use")
.attr("class", "stroke")
.attr("xlink:href", "#sphere");
svgS.append("use")
.attr("class", "fill")
.attr("xlink:href", "#sphere");
svgS.append("path")
.datum(graticule)
.attr("class", "graticule")
.attr("d", path);
var nightS = svgS.append("path")
.attr("class", "nightS")
.attr("d", path);
d3.json("world-110m.json", function(error, world) {
projection.rotate([180,-90]);
svgN.insert("path", ".graticule")
.datum(topojson.feature(world, world.objects.land))
.attr("class", "land")
.attr("d", path);
svgN.insert("path", ".graticule")
.datum(topojson.mesh(world, world.objects.countries, function(a, b) { return a !== b; }))
.attr("class", "boundary")
.attr("d", path);
projection.rotate([0,90]);
svgS.insert("path", ".graticule")
.datum(topojson.feature(world, world.objects.land))
.attr("class", "land")
.attr("d", path);
svgS.insert("path", ".graticule")
.datum(topojson.mesh(world, world.objects.countries, function(a, b) { return a !== b; }))
.attr("class", "boundary")
.attr("d", path);
});
var faceS = svgS.append('g')
.attr('id','clock-face')
.attr('transform','translate(' + (clockRadius + margin) + ',' + (clockRadius + margin) + ')');
//add marks for seconds
faceS.selectAll('.second-tick')
.data(d3.range(0,60)).enter()
.append('line')
.attr('class', 'second-tick')
.attr('x1',0)
.attr('x2',0)
.attr('y1',secondTickStart)
.attr('y2',secondTickStart + secondTickLength)
.attr('transform',function(d){
return 'rotate(' + secondScaleS(d) + ')';
});
//and labels
faceS.selectAll('.second-label')
.data(d3.range(5,61,5))
.enter()
.append('text')
.attr('class', 'second-label')
.attr('text-anchor','middle')
.attr('x',function(d){
return secondLabelRadius*Math.sin(secondScaleS(d)*radians);
})
.attr('y',function(d){
return -secondLabelRadius*Math.cos(secondScaleS(d)*radians) + secondLabelYOffset;
})
.text(function(d){
return d;
});
//... and degrees
faceS.selectAll('.degree-tick')
.data(d3.range(180,-179,-30)).enter()
.append('line')
.attr('class', 'degree-tick')
.attr('x1',0)
.attr('x2',0)
.attr('y1',degreeTickStart)
.attr('y2',degreeTickStart + degreeTickLength)
.attr('transform',function(d){
return 'rotate(' + d + ')';
});
faceS.selectAll('.degree-label')
.data(d3.range(-180,180,30))
.enter()
.append('text')
.attr('class', 'degree-label')
.attr('text-anchor','middle')
.attr('x',function(d){
return degreeLabelRadius*Math.sin(d*radians);
})
.attr('y',function(d){
return -degreeLabelRadius*Math.cos(d*radians) + degreeLabelYOffset;
})
.text(function(d){
return d == -180 ? "±" + (- d ): d;
});
var handsS = faceS.append('g').attr('id','clock-hands');
faceS.append('g').attr('id','face-overlay')
.append('circle').attr('class','hands-cover')
.attr('x',0)
.attr('y',0)
.attr('r',clockRadius/20);
handsS.selectAll('line')
.data(handData)
.enter()
.append('line')
.attr('class', function(d){
return d.type + '-hand';
})
.attr('x1',0)
.attr('y1',function(d){
return d.balance ? d.balance : 0;
})
.attr('x2',0)
.attr('y2',function(d){
return d.length;
})
.attr('transform',function(d){
return 'rotate('+ d.scaleS(d.value) +')';
});
function moveHands(){
d3.select('#clockN').selectAll('#clock-hands').selectAll('line')
.data(handData)
.transition().duration(refresh).ease("linear")
.attr('transform',function(d){
return 'rotate('+ d.scaleN(d.value) +')';
});
projection.rotate([180,-90])
nightN.datum(circleN.origin(antipode(solarPosition(new Date)))).attr("d", path);
d3.select('#clockS').selectAll('#clock-hands').selectAll('line')
.data(handData)
.transition().duration(refresh).ease("linear")
.attr('transform',function(d){
return 'rotate('+ d.scaleS(d.value) +')';
});
projection.rotate([0,90]);
nightS.datum(circleS.origin(antipode(solarPosition(new Date)))).attr("d", path);
}
function updateData(){
var t = new Date();
var day = new Date(Date.UTC(t.getFullYear(),t.getMonth(),t.getDate(),0,0,0));
millisecondsUTC = t.getTime()-day.getTime();
millisecondsInDay = 86400000;
var decDegrees = (millisecondsUTC)*360/millisecondsInDay;
var degrees = Math.floor(decDegrees);
var minutes = Math.floor(60*(decDegrees - degrees));
var seconds = Math.floor(3600 * (decDegrees - degrees - minutes/60));
handData[0].value = (degrees + 180) % 360;
handData[1].value = minutes;
handData[2].value = seconds;
}
setInterval(function(){
updateData();
moveHands();
}, refresh);
d3.select(self.frameElement).style("height", height + "px");
function antipode(position) {
return [position[0] + 180, -position[1]];
}
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);
}
</script>
</html>
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