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sunrise.html
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sunrise.html
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<HTML>
<HEAD>
<TITLE>NOAA Improved Sunrise/Sunset Calculation</TITLE>
<SCRIPT LANGUAGE="JavaScript">
//***********************************************************************/
//* DATA STRUCTURES */
//***********************************************************************/
function month(name, numdays, abbr)
{
this.name = name;
this.numdays = numdays;
this.abbr = abbr;
}
//*********************************************************************/
function ans(daySave,value)
{
this.daySave = daySave;
this.value = value;
}
//*********************************************************************/
function city(name, lat, lng, zoneHr)
{
this.name = name;
this.lat = lat;
this.lng = lng;
this.zoneHr = zoneHr;
}
//***********************************************************************/
//* Data for Selectbox Controls */
//***********************************************************************/
var monthList = new Array(); // list of months and days for non-leap year
var i = 0;
monthList[i++] = new month("January", 31, "Jan");
monthList[i++] = new month("February", 28, "Feb");
monthList[i++] = new month("March", 31, "Mar");
monthList[i++] = new month("April", 30, "Apr");
monthList[i++] = new month("May", 31, "May");
monthList[i++] = new month("June", 30, "Jun");
monthList[i++] = new month("July", 31, "Jul");
monthList[i++] = new month("August", 31, "Aug");
monthList[i++] = new month("September", 30, "Sep");
monthList[i++] = new month("October", 31, "Oct");
monthList[i++] = new month("November", 30, "Nov");
monthList[i++] = new month("December", 31, "Dec");
//*********************************************************************/
var YesNo = new Array(); //Daylight Saving array
i=0;
YesNo[i++] = new ans("No",0);
YesNo[i++] = new ans("Yes",60);
//*********************************************************************/
var City = new Array();
j = 0;
City[j++] = new city("Enter Lat/Long -->",0,0,0);
City[j++] = new city("",0,0,0);
City[j++] = new city("US CITIES",0,0,0);
City[j++] = new city("Albuquerque, NM", 35.0833,106.65,7);
City[j++] = new city("Anchorage, AK", 61.217, 149.90,9);
City[j++] = new city("Atlanta, GA", 33.733, 84.383, 5);
City[j++] = new city("Austin, TX", 30.283, 97.733, 6);
City[j++] = new city("Birmingham, AL", 33.521, 86.8025, 6);
City[j++] = new city("Bismarck, ND", 46.817, 100.783, 6);
City[j++] = new city("Boston, MA", 42.35, 71.05, 5);
City[j++] = new city("Boulder, CO", 40.125, 105.237, 7);
City[j++] = new city("Chicago, IL", 41.85,87.65,6);
City[j++] = new city("Dallas, TX", 32.46, 96.47,6);
City[j++] = new city("Denver, CO", 39.733, 104.983, 7);
City[j++] = new city("Detroit, MI", 42.333, 83.05, 5);
City[j++] = new city("Honolulu, HI", 21.30, 157.85, 10);
City[j++] = new city("Houston, TX", 29.75, 95.35, 6);
City[j++] = new city("Indianapolis, IN", 39.767, 86.15, 5);
City[j++] = new city("Jackson, MS", 32.283, 90.183, 6);
City[j++] = new city("Kansas City, MO", 39.083, 94.567,6);
City[j++] = new city("Los Angeles, CA",34.05,118.233,8);
City[j++] = new city("Menomonee Falls, WI",43.11,88.10,6);
City[j++] = new city("Miami, FL", 25.767, 80.183,5);
City[j++] = new city("Minneapolis, MN", 44.967, 93.25, 6);
City[j++] = new city("New Orleans, LA", 29.95, 90.067, 6);
City[j++] = new city("New York City, NY", 40.7167, 74.0167, 5);
City[j++] = new city("Oklahoma City, OK", 35.483, 97.533,6);
City[j++] = new city("Philadelphia, PA", 39.95, 75.15, 5);
City[j++] = new city("Phoenix, AZ",33.433,112.067,7);
City[j++] = new city("Pittsburgh, PA",40.433,79.9833,5);
City[j++] = new city("Portland, ME", 43.666, 70.283, 5);
City[j++] = new city("Portland, OR", 45.517, 122.65, 8);
City[j++] = new city("Raleigh, NC", 35.783, 78.65, 5);
City[j++] = new city("Richmond, VA", 37.5667, 77.450, 5);
City[j++] = new city("Saint Louis, MO", 38.6167,90.1833,6);
City[j++] = new city("San Antonio, TX", 29.53, 98.47, 6);
City[j++] = new city("San Diego, CA", 32.7667, 117.2167, 8);
City[j++] = new city("San Francisco, CA",37.7667,122.4167,8);
City[j++] = new city("Seattle, WA",47.60,122.3167,8);
City[j++] = new city("Washington DC", 38.8833, 77.0333,5);
City[j++] = new city("",0,0,0);
City[j++] = new city("WORLD CITIES",0,0,0);
City[j++] = new city("Beijing, China",39.9167, -116.4167,-8);
City[j++] = new city("Berlin, Germany",52.33, -13.30, -1);
City[j++] = new city("Bombay, India", 18.9333, -72.8333, -5.5);
City[j++] = new city("Buenos Aires, Argentina", -34.60,58.45,3);
City[j++] = new city("Cairo, Egypt", 30.10,-31.3667,-2);
City[j++] = new city("Cape Town, South Africa",-33.9167,-18.3667,-2);
City[j++] = new city("Caracas, Venezuela", 10.50,66.9333,4);
City[j++] = new city("Helsinki, Finland", 60.1667, -24.9667,-2);
City[j++] = new city("Hong Kong, China", 22.25,-114.1667, -8);
City[j++] = new city("Jerusalem, Israel", 31.7833, -35.2333, -2);
City[j++] = new city("London, England", 51.50, 0.1667,0);
City[j++] = new city("Mexico City, Mexico", 19.4,99.15,6);
City[j++] = new city("Moscow, Russia", 55.75, -37.5833, -3);
City[j++] = new city("New Delhi, India",28.6, -77.2, -5.5);
City[j++] = new city("Ottawa, Canada", 45.41667,75.7,5);
City[j++] = new city("Paris, France", 48.8667, -2.667, -1);
City[j++] = new city("Rio de Janeiro, Brazil",-22.90,43.2333,3);
City[j++] = new city("Riyadh, Saudi Arabia", 24.633, -46.71667, -3);
City[j++] = new city("Rome, Italy",41.90, -12.4833,-1);
City[j++] = new city("Sydney, Australia",-33.8667,-151.2167,-10);
City[j++] = new city("Tokyo, Japan", 35.70, -139.7667, -9);
City[j++] = new city("Zurich, Switzerland", 47.3833, -8.5333,-1);
City[j++] = new city("",0,0,0);
City[j++] = new city("SURFRAD NETWORK",0,0,0);
City[j++] = new city("Goodwin Creek, MS",34.2544444,89.8738888, 6);
City[j++] = new city("Fort Peck, MT",48.310555,105.1025, 7);
City[j++] = new city("Bondville, IL",40.055277,88.371944, 6);
City[j++] = new city("Table Mountain, CO",40.125,105.23694, 7);
City[j++] = new city("Desert Rock, NV",36.626, 116.018, 8);
City[j++] = new city("Penn State, PA", 40.72, 77.93, 5);
City[j++] = new city("Canaan Valley, WV", 39.1, 79.4, 5);
City[j++] = new city("Sioux Falls, SD", 43.733, 96.6233, 6);
City[j++] = new city("",0,0,0);
City[j++] = new city("ARM/CART NETWORK",0,0,0);
City[j++] = new city("Atqasuk, AK", 70.47215, 157.4078, 9);
City[j++] = new city("Barrow, AK", 71.30,156.683, 9);
City[j++] = new city("Manus Island, PNG", -2.06, -147.425,-10);
City[j++] = new city("Nauru Island", -0.52, -166.92, -12);
City[j++] = new city("Darwin, Australia", -12.425, -130.891, -9.5);
City[j++] = new city("SGP Central Facility", 36.6167, 97.5, 6);
City[j++] = new city("",0,0,0);
City[j++] = new city("ISIS NETWORK",0,0,0);
City[j++] = new city("Albuquerque, NM", 35.04, 106.62,7);
City[j++] = new city("Bismarck, ND", 46.77, 100.77,6);
City[j++] = new city("Hanford, CA", 36.31, 119.63,8);
City[j++] = new city("Madison, WI", 43.13, 89.33,6);
City[j++] = new city("Oak Ridge, TN", 35.96, 84.37,5);
City[j++] = new city("Salt Lake City, UT", 40.77,111.97,7);
City[j++] = new city("Seattle, WA", 47.68, 122.25,8);
City[j++] = new city("Sterling, VA", 38.98, 77.47,5);
City[j++] = new city("Tallahassee, FL", 30.38, 84.37,5);
//*********************************************************************/
</SCRIPT>
</HEAD>
<BODY BACKGROUND="./hasunset1.jpg" bgcolor="#99CCFF">
<CENTER>
<TABLE BORDER=0 CELLPADDING=5>
<TR><TD>
<A HREF="http://www.doc.gov"><IMG SRC="./doclogo.gif" ALT="Dept of Commerce Seal" BORDER=0></A>
</TD>
<TD>
<CENTER>
<FONT SIZE="4"><B><A HREF="/index.html">NOAA ESRL</A></B></FONT><BR>
<FONT SIZE="6"><B>Sunrise/Sunset Calculator</B></FONT>
</CENTER>
</TD>
<TD>
<CENTER>
<A HREF="http://www.noaa.gov"><IMG SRC="./noaaemblemt.gif" ALT="National Oceanic and Atmospheric Administration" BORDER=0></A><BR>
<A HREF="http://www.esrl.noaa.gov"><FONT SIZE="2">Earth System<br>Research Lab</FONT></A>
</CENTER>
</TD>
</TR>
</TABLE>
<HR>
<FONT SIZE="6">
*** <A HREF="http://www.esrl.noaa.gov/gmd/grad/solcalc/">Click here to try NOAA's New Solar Calculator</A> ***
</FONT>
</CENTER>
<HR>
<SCRIPT LANGUAGE="JavaScript">
//*********************************************************************/
function setLatLong(f, index)
{
// Decimal degrees are passed in the array. Temporarily store these
// degs in lat and lon deg and have convLatLong modify them.
f["latDeg"].value = City[index].lat;
f["lonDeg"].value = City[index].lng;
// These are needed to prevent iterative adding of min and sec when
// set button is clicked.
f["latMin"].value = 0;
f["latSec"].value = 0;
f["lonMin"].value = 0;
f["lonSec"].value = 0;
//call convLatLong to convert decimal degrees into table form.
convLatLong(f);
//Local time zone value set in table
f["hrsToGMT"].value = City[index].zoneHr;
}
//*********************************************************************/
// isLeapYear returns 1 if the 4-digit yr is a leap year, 0 if it is not
function isLeapYear(yr)
{
return ((yr % 4 == 0 && yr % 100 != 0) || yr % 400 == 0);
}
//*********************************************************************/
// isPosInteger returns false if the value is not a positive integer, true is
// returned otherwise. The code is from taken from Danny Goodman's Javascript
// Handbook, p. 372.
function isPosInteger(inputVal)
{
inputStr = ("" + inputVal);
for (var i = 0; i < inputStr.length; i++) {
var oneChar = inputStr.charAt(i);
if (oneChar < "0" || oneChar > "9")
return false;
}
return true;
}
//*********************************************************************/
function isInteger(inputVal)
{
inputStr = "" + inputVal;
if(inputStr == "NaN") return false;
if(inputStr == "-NaN") return false;
for (var i = 0; i < inputStr.length; i++)
{
var oneChar = inputStr.charAt(i);
if (i == 0 && (oneChar == "-" || oneChar == "+"))
{
continue;
}
if (oneChar < "0" || oneChar > "9")
{
return false;
}
}
return true;
}
//*********************************************************************/
function isNumber(inputVal)
{
var oneDecimal = false;
var inputStr = "" + inputVal;
for (var i = 0; i < inputStr.length; i++)
{
var oneChar = inputStr.charAt(i);
if (i == 0 && (oneChar == "-" || oneChar == "+"))
{
continue;
}
if (oneChar == "." && !oneDecimal)
{
oneDecimal = true;
continue;
}
if (oneChar < "0" || oneChar > "9")
{
return false;
}
}
return true;
}
//*********************************************************************/
// isValidInput makes sure valid input is entered before going ahead to
// calculate the sunrise and sunset. False is returned if an invalid entry
// was made, true is the entry is valid.
function isValidInput(f, index, latLongForm)
{
if (f["day"].value == "")
{ // see if the day field is empty
alert("You must enter a day before attempting the calculation.");
return false;
}
else if (f["year"].value == "")
{ // see if the year field is empty
alert("You must enter a year before attempting the calculation.");
return false;
}
else if (!isPosInteger(f["day"].value) || f["day"].value == 0)
{
alert("The day must be a positive integer.");
return false;
}
else if (!isInteger(f["year"].value))
{
alert("The year must be an integer.");
return false;
}
else if ( (f["year"].value < -1000) || (f["year"].value > 3000) )
{
alert("The algorithm used is not valid for years outside of/nthe range -1000 to 3000.");
return false;
}
// For the non-February months see if the day entered is greater than
// the number of days in the selected month
else if ((index != 1) && (f["day"].value > monthList[index].numdays))
{
alert("There are only " + monthList[index].numdays + " days in "
+ monthList[index].name + ".");
return false;
}
// First see if the year entered is a leap year. If so we have to make sure
// the days entered is <= 29. If not a leap year we make sure that the days
// entered is <= 28.
else if (index == 1)
{ // month selected is February the screwball month
if (isLeapYear(f["year"].value)) { // year entered is a leap year
if (f["day"].value > (monthList[index].numdays + 1))
{
alert("There are only " + (monthList[index].numdays + 1)
+ " days in " + monthList[index].name + ".");
return false;
}
else
return true;
}
else
{ // year entered is not a leap year
if (f["day"].value > monthList[index].numdays)
{
alert("There are only " + monthList[index].numdays
+ " days in " + monthList[index].name + ".");
return false;
}
else
return true;
}
}
else
return true;
}
//*********************************************************************/
//convLatLong converts any type of lat/long input
//into the table form and then handles bad input
//it is nested in the calcSun function.
function convLatLong(f)
{
if(f["latDeg"].value == "")
{
f["latDeg"].value = 0;
}
if(f["latMin"].value == "")
{
f["latMin"].value = 0;
}
if(f["latSec"].value == "")
{
f["latSec"].value = 0;
}
if(f["lonDeg"].value == "")
{
f["lonDeg"].value = 0;
}
if(f["lonMin"].value == "")
{
f["lonMin"].value = 0;
}
if(f["lonSec"].value == "")
{
f["lonSec"].value = 0;
}
var neg = 0;
if(f["latDeg"].value.charAt(0) == '-')
{
neg = 1;
}
if(neg != 1)
{
var latSeconds = (parseFloat(f["latDeg"].value))*3600
+ parseFloat(f["latMin"].value)*60
+ parseFloat(f["latSec"].value)*1;
f["latDeg"].value = Math.floor(latSeconds/3600);
f["latMin"].value = Math.floor((latSeconds
- (parseFloat(f["latDeg"].value)*3600))/60);
f["latSec"].value = Math.floor((latSeconds
- (parseFloat(f["latDeg"].value)*3600)
- (parseFloat(f["latMin"].value)*60)) + 0.5);
}
else if(parseFloat(f["latDeg"].value) > -1)
{
var latSeconds = parseFloat(f["latDeg"].value)*3600
- parseFloat(f["latMin"].value)*60
- parseFloat(f["latSec"].value)*1;
f["latDeg"].value = "-0";
f["latMin"].value = Math.floor((-latSeconds)/60);
f["latSec"].value = Math.floor( (-latSeconds
- (parseFloat(f["latMin"].value)*60)) + 0.5);
}
else
{
var latSeconds = parseFloat(f["latDeg"].value)*3600
- parseFloat(f["latMin"].value)*60
- parseFloat(f["latSec"].value)*1;
f["latDeg"].value = Math.ceil(latSeconds/3600);
f["latMin"].value = Math.floor((-latSeconds
+ (parseFloat(f["latDeg"].value)*3600))/60);
f["latSec"].value = Math.floor((-latSeconds
+ (parseFloat(f["latDeg"].value)*3600)
- (parseFloat(f["latMin"].value)*60)) + 0.5);
}
neg = 0;
if(f["lonDeg"].value.charAt(0) == '-')
{
neg = 1;
}
if(neg != 1)
{
var lonSeconds = parseFloat(f["lonDeg"].value)*3600
+ parseFloat(f["lonMin"].value)*60
+ parseFloat(f["lonSec"].value)*1;
f["lonDeg"].value = Math.floor(lonSeconds/3600);
f["lonMin"].value = Math.floor((lonSeconds
- (parseFloat(f["lonDeg"].value)*3600))/60);
f["lonSec"].value = Math.floor((lonSeconds
- (parseFloat(f["lonDeg"].value)*3600)
- (parseFloat(f["lonMin"].value))*60) + 0.5);
}
else if(parseFloat(f["lonDeg"].value) > -1)
{
var lonSeconds = parseFloat(f["lonDeg"].value)*3600
- parseFloat(f["lonMin"].value)*60
- parseFloat(f["lonSec"].value)*1;
f["lonDeg"].value = "-0";
f["lonMin"].value = Math.floor((-lonSeconds)/60);
f["lonSec"].value = Math.floor((-lonSeconds
- (parseFloat(f["lonMin"].value)*60)) + 0.5);
}
else
{
var lonSeconds = parseFloat(f["lonDeg"].value)*3600
- parseFloat(f["lonMin"].value)*60
- parseFloat(f["lonSec"].value)*1;
f["lonDeg"].value = Math.ceil(lonSeconds/3600);
f["lonMin"].value = Math.floor((-lonSeconds
+ (parseFloat(f["lonDeg"].value)*3600))/60);
f["lonSec"].value = Math.floor((-lonSeconds
+ (parseFloat(f["lonDeg"].value)*3600)
- (parseFloat(f["lonMin"].value)*60)) + 0.5);
}
//Test for invalid lat/long input
if(latSeconds > 324000)
{
alert("You have entered an invalid latitude.\n Setting lat = 89.");
f["latDeg"].value = 89;
f["latMin"].value = 0;
f["latSec"].value = 0;
}
if(latSeconds < -324000)
{
alert("You have entered an invalid latitude.\n Setting lat = -89.");
f["latDeg"].value = -89;
f["latMin"].value = 0;
f["latSec"].value = 0;
}
if(lonSeconds > 648000)
{
alert("You have entered an invalid longitude.\n Setting lon = 180.");
f["lonDeg"].value = 180;
f["lonMin"].value = 0;
f["lonSec"].value = 0;
}
if(lonSeconds < -648000)
{
alert("You have entered an invalid longitude.\n Setting lon = -180.");
f["lonDeg"].value = -180;
f["lonMin"].value = 0;
f["lonSec"].value =0;
}
}
//***********************************************************************/
//***********************************************************************/
//* */
//*This section contains subroutines used in calculating solar position */
//* */
//***********************************************************************/
//***********************************************************************/
// Convert radian angle to degrees
function radToDeg(angleRad)
{
return (180.0 * angleRad / Math.PI);
}
//*********************************************************************/
// Convert degree angle to radians
function degToRad(angleDeg)
{
return (Math.PI * angleDeg / 180.0);
}
//*********************************************************************/
//***********************************************************************/
//* Name: calcDayOfYear */
//* Type: Function */
//* Purpose: Finds numerical day-of-year from mn, day and lp year info */
//* Arguments: */
//* month: January = 1 */
//* day : 1 - 31 */
//* lpyr : 1 if leap year, 0 if not */
//* Return value: */
//* The numerical day of year */
//***********************************************************************/
function calcDayOfYear(mn, dy, lpyr)
{
var k = (lpyr ? 1 : 2);
var doy = Math.floor((275 * mn)/9) - k * Math.floor((mn + 9)/12) + dy -30;
return doy;
}
//***********************************************************************/
//* Name: calcDayOfWeek */
//* Type: Function */
//* Purpose: Derives weekday from Julian Day */
//* Arguments: */
//* juld : Julian Day */
//* Return value: */
//* String containing name of weekday */
//***********************************************************************/
function calcDayOfWeek(juld)
{
var A = (juld + 1.5) % 7;
var DOW = (A==0)?"Sunday":(A==1)?"Monday":(A==2)?"Tuesday":(A==3)?"Wednesday":(A==4)?"Thursday":(A==5)?"Friday":"Saturday";
return DOW;
}
//***********************************************************************/
//* Name: calcJD */
//* Type: Function */
//* Purpose: Julian day from calendar day */
//* Arguments: */
//* year : 4 digit year */
//* month: January = 1 */
//* day : 1 - 31 */
//* Return value: */
//* The Julian day corresponding to the date */
//* Note: */
//* Number is returned for start of day. Fractional days should be */
//* added later. */
//***********************************************************************/
function calcJD(year, month, day)
{
if (month <= 2) {
year -= 1;
month += 12;
}
var A = Math.floor(year/100);
var B = 2 - A + Math.floor(A/4);
var JD = Math.floor(365.25*(year + 4716)) + Math.floor(30.6001*(month+1)) + day + B - 1524.5;
return JD;
}
//***********************************************************************/
//* Name: calcDateFromJD */
//* Type: Function */
//* Purpose: Calendar date from Julian Day */
//* Arguments: */
//* jd : Julian Day */
//* Return value: */
//* String date in the form DD-MONTHNAME-YYYY */
//* Note: */
//***********************************************************************/
function calcDateFromJD(jd)
{
var z = Math.floor(jd + 0.5);
var f = (jd + 0.5) - z;
if (z < 2299161) {
var A = z;
} else {
alpha = Math.floor((z - 1867216.25)/36524.25);
var A = z + 1 + alpha - Math.floor(alpha/4);
}
var B = A + 1524;
var C = Math.floor((B - 122.1)/365.25);
var D = Math.floor(365.25 * C);
var E = Math.floor((B - D)/30.6001);
var day = B - D - Math.floor(30.6001 * E) + f;
var month = (E < 14) ? E - 1 : E - 13;
var year = (month > 2) ? C - 4716 : C - 4715;
// alert ("date: " + day + "-" + monthList[month-1].name + "-" + year);
return (day + "-" + monthList[month-1].name + "-" + year);
}
//***********************************************************************/
//* Name: calcDayFromJD */
//* Type: Function */
//* Purpose: Calendar day (minus year) from Julian Day */
//* Arguments: */
//* jd : Julian Day */
//* Return value: */
//* String date in the form DD-MONTH */
//***********************************************************************/
function calcDayFromJD(jd)
{
var z = Math.floor(jd + 0.5);
var f = (jd + 0.5) - z;
if (z < 2299161) {
var A = z;
} else {
alpha = Math.floor((z - 1867216.25)/36524.25);
var A = z + 1 + alpha - Math.floor(alpha/4);
}
var B = A + 1524;
var C = Math.floor((B - 122.1)/365.25);
var D = Math.floor(365.25 * C);
var E = Math.floor((B - D)/30.6001);
var day = B - D - Math.floor(30.6001 * E) + f;
var month = (E < 14) ? E - 1 : E - 13;
var year = (month > 2) ? C - 4716 : C - 4715;
return ((day<10 ? "0" : "") + day + monthList[month-1].abbr);
}
//***********************************************************************/
//* Name: calcTimeJulianCent */
//* Type: Function */
//* Purpose: convert Julian Day to centuries since J2000.0. */
//* Arguments: */
//* jd : the Julian Day to convert */
//* Return value: */
//* the T value corresponding to the Julian Day */
//***********************************************************************/
function calcTimeJulianCent(jd)
{
var T = (jd - 2451545.0)/36525.0;
return T;
}
//***********************************************************************/
//* Name: calcJDFromJulianCent */
//* Type: Function */
//* Purpose: convert centuries since J2000.0 to Julian Day. */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* the Julian Day corresponding to the t value */
//***********************************************************************/
function calcJDFromJulianCent(t)
{
var JD = t * 36525.0 + 2451545.0;
return JD;
}
//***********************************************************************/
//* Name: calGeomMeanLongSun */
//* Type: Function */
//* Purpose: calculate the Geometric Mean Longitude of the Sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* the Geometric Mean Longitude of the Sun in degrees */
//***********************************************************************/
function calcGeomMeanLongSun(t)
{
var L0 = 280.46646 + t * (36000.76983 + 0.0003032 * t);
while(L0 > 360.0)
{
L0 -= 360.0;
}
while(L0 < 0.0)
{
L0 += 360.0;
}
return L0; // in degrees
}
//***********************************************************************/
//* Name: calGeomAnomalySun */
//* Type: Function */
//* Purpose: calculate the Geometric Mean Anomaly of the Sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* the Geometric Mean Anomaly of the Sun in degrees */
//***********************************************************************/
function calcGeomMeanAnomalySun(t)
{
var M = 357.52911 + t * (35999.05029 - 0.0001537 * t);
return M; // in degrees
}
//***********************************************************************/
//* Name: calcEccentricityEarthOrbit */
//* Type: Function */
//* Purpose: calculate the eccentricity of earth's orbit */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* the unitless eccentricity */
//***********************************************************************/
function calcEccentricityEarthOrbit(t)
{
var e = 0.016708634 - t * (0.000042037 + 0.0000001267 * t);
return e; // unitless
}
//***********************************************************************/
//* Name: calcSunEqOfCenter */
//* Type: Function */
//* Purpose: calculate the equation of center for the sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* in degrees */
//***********************************************************************/
function calcSunEqOfCenter(t)
{
var m = calcGeomMeanAnomalySun(t);
var mrad = degToRad(m);
var sinm = Math.sin(mrad);
var sin2m = Math.sin(mrad+mrad);
var sin3m = Math.sin(mrad+mrad+mrad);
var C = sinm * (1.914602 - t * (0.004817 + 0.000014 * t)) + sin2m * (0.019993 - 0.000101 * t) + sin3m * 0.000289;
return C; // in degrees
}
//***********************************************************************/
//* Name: calcSunTrueLong */
//* Type: Function */
//* Purpose: calculate the true longitude of the sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* sun's true longitude in degrees */
//***********************************************************************/
function calcSunTrueLong(t)
{
var l0 = calcGeomMeanLongSun(t);
var c = calcSunEqOfCenter(t);
var O = l0 + c;
return O; // in degrees
}
//***********************************************************************/
//* Name: calcSunTrueAnomaly */
//* Type: Function */
//* Purpose: calculate the true anamoly of the sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* sun's true anamoly in degrees */
//***********************************************************************/
function calcSunTrueAnomaly(t)
{
var m = calcGeomMeanAnomalySun(t);
var c = calcSunEqOfCenter(t);
var v = m + c;
return v; // in degrees
}
//***********************************************************************/
//* Name: calcSunRadVector */
//* Type: Function */
//* Purpose: calculate the distance to the sun in AU */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* sun radius vector in AUs */
//***********************************************************************/
function calcSunRadVector(t)
{
var v = calcSunTrueAnomaly(t);
var e = calcEccentricityEarthOrbit(t);
var R = (1.000001018 * (1 - e * e)) / (1 + e * Math.cos(degToRad(v)));
return R; // in AUs
}
//***********************************************************************/
//* Name: calcSunApparentLong */
//* Type: Function */
//* Purpose: calculate the apparent longitude of the sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* sun's apparent longitude in degrees */
//***********************************************************************/
function calcSunApparentLong(t)
{
var o = calcSunTrueLong(t);
var omega = 125.04 - 1934.136 * t;
var lambda = o - 0.00569 - 0.00478 * Math.sin(degToRad(omega));
return lambda; // in degrees
}
//***********************************************************************/
//* Name: calcMeanObliquityOfEcliptic */
//* Type: Function */
//* Purpose: calculate the mean obliquity of the ecliptic */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* mean obliquity in degrees */
//***********************************************************************/
function calcMeanObliquityOfEcliptic(t)
{
var seconds = 21.448 - t*(46.8150 + t*(0.00059 - t*(0.001813)));
var e0 = 23.0 + (26.0 + (seconds/60.0))/60.0;
return e0; // in degrees
}
//***********************************************************************/
//* Name: calcObliquityCorrection */
//* Type: Function */
//* Purpose: calculate the corrected obliquity of the ecliptic */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* corrected obliquity in degrees */
//***********************************************************************/
function calcObliquityCorrection(t)
{
var e0 = calcMeanObliquityOfEcliptic(t);
var omega = 125.04 - 1934.136 * t;
var e = e0 + 0.00256 * Math.cos(degToRad(omega));
return e; // in degrees
}
//***********************************************************************/
//* Name: calcSunRtAscension */
//* Type: Function */
//* Purpose: calculate the right ascension of the sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* sun's right ascension in degrees */
//***********************************************************************/
function calcSunRtAscension(t)
{
var e = calcObliquityCorrection(t);
var lambda = calcSunApparentLong(t);
var tananum = (Math.cos(degToRad(e)) * Math.sin(degToRad(lambda)));
var tanadenom = (Math.cos(degToRad(lambda)));
var alpha = radToDeg(Math.atan2(tananum, tanadenom));
return alpha; // in degrees
}
//***********************************************************************/
//* Name: calcSunDeclination */
//* Type: Function */
//* Purpose: calculate the declination of the sun */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* sun's declination in degrees */
//***********************************************************************/
function calcSunDeclination(t)
{
var e = calcObliquityCorrection(t);
var lambda = calcSunApparentLong(t);
var sint = Math.sin(degToRad(e)) * Math.sin(degToRad(lambda));
var theta = radToDeg(Math.asin(sint));
return theta; // in degrees
}
//***********************************************************************/
//* Name: calcEquationOfTime */
//* Type: Function */
//* Purpose: calculate the difference between true solar time and mean */
//* solar time */
//* Arguments: */
//* t : number of Julian centuries since J2000.0 */
//* Return value: */
//* equation of time in minutes of time */
//***********************************************************************/
function calcEquationOfTime(t)
{
var epsilon = calcObliquityCorrection(t);
var l0 = calcGeomMeanLongSun(t);
var e = calcEccentricityEarthOrbit(t);
var m = calcGeomMeanAnomalySun(t);
var y = Math.tan(degToRad(epsilon)/2.0);
y *= y;
var sin2l0 = Math.sin(2.0 * degToRad(l0));
var sinm = Math.sin(degToRad(m));
var cos2l0 = Math.cos(2.0 * degToRad(l0));
var sin4l0 = Math.sin(4.0 * degToRad(l0));
var sin2m = Math.sin(2.0 * degToRad(m));
var Etime = y * sin2l0 - 2.0 * e * sinm + 4.0 * e * y * sinm * cos2l0
- 0.5 * y * y * sin4l0 - 1.25 * e * e * sin2m;