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## com.bbn.openmap.layer.daynight
Class SunPosition

    java.lang.Object
      com.bbn.openmap.layer.daynight.SunPosition

public class SunPosition
extends java.lang.Object

SunPosition calculates the latitude/longitude on the Earth that is closest to the Sun, the point on the Earth where the sun is directly overhead.

All of these calculations are based on an epoch, or a starting point where the Sun's position is known. From the reference book, the epoch is 1990 January 0.0.

Also, all of the equations, and understanding of this whole algorithm, was gained from a great book - Practical Astronomy with Your Calculator, by Peter Duffett-Smith, Third Edition, Cambridge University Press 1988.

Field Summary
`static double` | `ECCENTRICITY` Eccentricity of orbit, from Duffett-Smith, chapter 46, table 6.
`static double` | `ECLIPTIC_LONGITUDE_EPOCH` Ecliptic Longitude of earth at 1990 January epoch.
`static double` | `ECLIPTIC_LONGITUDE_PERIGEE` Ecliptic Longitude of of perigee.
`static double` | `el0` The algorithm representation for the moon MOON_EPOCH_MEAN_LONGITUDE, "l".
`static double` | `EPOCH_JULIAN_DATE` Epoch Julian Date.
`static double` | `EPOCH_TIME_SECS` Epoch start time in seconds.
`static double` | `epsilon_g` Variable notation of ECLIPTIC_LONGITUDE_EPOCH from Duffett-Smith.
`static double` | `eye` The algorithm representation for the moon MOON_ORBIT_INCLINATION, "i".
`static double` | `MAJOR_AXIS_MOON_ORBIT` Moon parameter, from Duffett-Smith, chapter 65, table 10.
`static double` | `MEAN_OBLIQUITY_OF_EPOCH` MEAN_OBLIQUITY_OF_EPOCH gives the mean obliquity of the ecliptic, which is the angle between the planes of the equator and the ecliptic.
`static double` | `MOON_ANGULAR_SIZE` Moon parameter, from Duffett-Smith, chapter 65, table 10.
`static double` | `MOON_ECCENTRICITY` Moon parameter, from Duffett-Smith, chapter 65, table 10.
`static double` | `MOON_EPOCH_MEAN_LONGITUDE` Moon parameter, from Duffett-Smith, chapter 65, table 10.
`static double` | `MOON_ORBIT_INCLINATION` Moon parameter, from Duffett-Smith, chapter 65, table 10.
`static double` | `MOON_PARALLAX` Moon parameter, from Duffett-Smith, chapter 65, table 10.
`static double` | `N0` The algorithm representation for the moon NODE_EPOCH_MEAN_LONGITUDE.
`static double` | `NODE_EPOCH_MEAN_LONGITUDE` Moon parameter, from Duffett-Smith, chapter 65, table 10.
`static double` | `omega_bar_g` Variable notation of ECLIPTIC_LONGITUDE_PERIGEE from Duffett-Smith.
`static double` | `ORBIT_RADS_PER_DAY` Constant denoting the number of radians an object would travel if it orbited around the earth in a day.
`static double` | `P0` The algorithm representation for the moon PERIGEE_EPOCH_MEAN_LONGITUDE.
`static double` | `PERIGEE_EPOCH_MEAN_LONGITUDE` Moon parameter, from Duffett-Smith, chapter 65, table 10.

Constructor Summary
`SunPosition()`

Method Summary
`protected static double` | `adjustWithin2PI(double num)` Little function that resets the input to be within 0 - 2*PI, by adding or subtracting 2PI as needed.
`static double` | `calculateJulianDate(java.util.GregorianCalendar cal)` Given a date from a gregorian calendar, give back a julian date.
`static double` | `eccentricAnomaly(double M)` Use Kepllers's equation to find the eccentric anomaly.
`protected static double` | `eclipticToEquatorialAscension(double lambda, double beta)` Conversion from ecliptic to equatorial coordinates for ascension.
`protected static double` | `eclipticToEquatorialDeclination(double lambda, double beta)` Conversion from ecliptic to equatorial coordinates for declination.
`static double` | `greenwichSiderealTime(double julianDate, java.util.GregorianCalendar time)` Calculate the greenwich sidereal time (GST).
`static void` | `main(java.lang.String[] arg)`
`static LatLonPoint` | `moonPosition(long mssue)` Given the number of milliseconds since the unix epoch, compute position on the earth (lat, lon) such that moon is directly overhead.
`protected static double` | `sunEclipticLongitude(double M0)` Calculate the ecliptic longitude of sun, in radians.
`protected static double` | `sunMeanAnomaly(double daysSinceEpoch)` Calculate the mean anomaly of sun, in radians.
`static LatLonPoint` | `sunPosition(long mssue)` Given the number of milliseconds since the unix epoch, compute position on the earth (lat, lon) such that sun is directly overhead.

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Field Detail

### EPOCH_JULIAN_DATE

    public static final double EPOCH_JULIAN_DATE

  Epoch Julian Date.

  See Also:
    Constant Field Values

### EPOCH_TIME_SECS

    public static final double EPOCH_TIME_SECS

  Epoch start time in seconds.

  See Also:
    Constant Field Values

### ORBIT_RADS_PER_DAY

    public static double ORBIT_RADS_PER_DAY

  Constant denoting the number of radians an object would travel if it orbited around the earth in a day.

### ECLIPTIC_LONGITUDE_EPOCH

    public static final double ECLIPTIC_LONGITUDE_EPOCH

  Ecliptic Longitude of earth at 1990 January epoch. From Duffett-Smith, chapter 46, table 6. (279.403303 degrees converted to radians).

  See Also:
    Constant Field Values

### epsilon_g

    public static final double epsilon_g

  Variable notation of ECLIPTIC_LONGITUDE_EPOCH from Duffett-Smith.

  See Also:
    Constant Field Values

### ECLIPTIC_LONGITUDE_PERIGEE

    public static final double ECLIPTIC_LONGITUDE_PERIGEE

  Ecliptic Longitude of of perigee. From Duffett-Smith, chapter 46, table 6. (282.768422 degrees converted to radians).

  See Also:
    Constant Field Values

### omega_bar_g

    public static final double omega_bar_g

  Variable notation of ECLIPTIC_LONGITUDE_PERIGEE from Duffett-Smith.

  See Also:
    Constant Field Values

### ECCENTRICITY

    public static final double ECCENTRICITY

  Eccentricity of orbit, from Duffett-Smith, chapter 46, table 6.

  See Also:
    Constant Field Values

### MEAN_OBLIQUITY_OF_EPOCH

    public static final double MEAN_OBLIQUITY_OF_EPOCH

  MEAN_OBLIQUITY_OF_EPOCH gives the mean obliquity of the ecliptic, which is the angle between the planes of the equator and the ecliptic. Using the algorithm described in Duffett-Smith, chapter 27, this is calculated for the 1990 January epoch to be .4091155 radians (23.440592 degrees).

  See Also:
    Constant Field Values

### MOON_EPOCH_MEAN_LONGITUDE

    public static final double MOON_EPOCH_MEAN_LONGITUDE

  Moon parameter, from Duffett-Smith, chapter 65, table 10. In radians.

  See Also:
    Constant Field Values

### el0

    public static final double el0

  The algorithm representation for the moon MOON_EPOCH_MEAN_LONGITUDE, "l".

  See Also:
    Constant Field Values

### PERIGEE_EPOCH_MEAN_LONGITUDE

    public static final double PERIGEE_EPOCH_MEAN_LONGITUDE

  Moon parameter, from Duffett-Smith, chapter 65, table 10. In radians.

  See Also:
    Constant Field Values

### P0

    public static final double P0

  The algorithm representation for the moon PERIGEE_EPOCH_MEAN_LONGITUDE.

  See Also:
    Constant Field Values

### NODE_EPOCH_MEAN_LONGITUDE

    public static final double NODE_EPOCH_MEAN_LONGITUDE

  Moon parameter, from Duffett-Smith, chapter 65, table 10. In radians.

  See Also:
    Constant Field Values

### N0

    public static final double N0

  The algorithm representation for the moon NODE_EPOCH_MEAN_LONGITUDE.

  See Also:
    Constant Field Values

### MOON_ORBIT_INCLINATION

    public static final double MOON_ORBIT_INCLINATION

  Moon parameter, from Duffett-Smith, chapter 65, table 10. In radians.

  See Also:
    Constant Field Values

### eye

    public static final double eye

  The algorithm representation for the moon MOON_ORBIT_INCLINATION, "i".

  See Also:
    Constant Field Values

### MOON_ECCENTRICITY

    public static final double MOON_ECCENTRICITY

  Moon parameter, from Duffett-Smith, chapter 65, table 10.

  See Also:
    Constant Field Values

### MAJOR_AXIS_MOON_ORBIT

    public static final double MAJOR_AXIS_MOON_ORBIT

  Moon parameter, from Duffett-Smith, chapter 65, table 10.

  See Also:
    Constant Field Values

### MOON_ANGULAR_SIZE

    public static final double MOON_ANGULAR_SIZE

  Moon parameter, from Duffett-Smith, chapter 65, table 10. In radians.

  See Also:
    Constant Field Values

### MOON_PARALLAX

    public static final double MOON_PARALLAX

  Moon parameter, from Duffett-Smith, chapter 65, table 10. In radians.

  See Also:
    Constant Field Values

Constructor Detail

### SunPosition

    public SunPosition()

Method Detail

### eccentricAnomaly

    public static double eccentricAnomaly(double M)

  Use Kepllers's equation to find the eccentric anomaly. From Duffett-Smith, chapter 47.

  Parameters:
    `M` - the angle that the Sun has moved since it passed through perigee.

### sunMeanAnomaly

    protected static double sunMeanAnomaly(double daysSinceEpoch)

  Calculate the mean anomaly of sun, in radians. From Duffett-Smith, chapter 47.

  Parameters:
    `daysSinceEpoch` - number of days since 1990 January epoch.

### sunEclipticLongitude

    protected static double sunEclipticLongitude(double M0)

  Calculate the ecliptic longitude of sun, in radians. From Duffett-Smith, chapter 47.

  Parameters:
    `M0` - sun's mean anomaly, calculated for the requested time relative to the 1990 epoch.

### eclipticToEquatorialAscension

    protected static double eclipticToEquatorialAscension(double lambda,
                                                          double beta)

  Conversion from ecliptic to equatorial coordinates for ascension. From Duffett-Smith, chapter 27.

  Parameters:
    `lambda` - ecliptic longitude
    `beta` - ecliptic latitude

### eclipticToEquatorialDeclination

    protected static double eclipticToEquatorialDeclination(double lambda,
                                                            double beta)

  Conversion from ecliptic to equatorial coordinates for declination. From Duffett-Smith, chapter 27.

  Parameters:
    `lambda` - ecliptic longitude
    `beta` - ecliptic latitude

### calculateJulianDate

    public static double calculateJulianDate(java.util.GregorianCalendar cal)

  Given a date from a gregorian calendar, give back a julian date. From Duffet-Smith, chapter 4.

  Parameters:
    `cal` - Gregorian calendar for requested date.
  Returns:
    julian date of request.

### greenwichSiderealTime

    public static double greenwichSiderealTime(double julianDate,
                                               java.util.GregorianCalendar time)

  Calculate the greenwich sidereal time (GST). From Duffett-Smith, chapter 12.

  Parameters:
    `julianDate` - julian date of request
    `time` - calendar reflecting local time zone change to greenwich
  Returns:
    GST relative to unix epoch.

### sunPosition

    public static LatLonPoint sunPosition(long mssue)

  Given the number of milliseconds since the unix epoch, compute position on the earth (lat, lon) such that sun is directly overhead. From Duffet-Smith, chapter 46-47.

  Parameters:
    `mssue` - milliseconds since unix epoch
  Returns:
    LatLonPoint of the point on the earth that is closest.

### moonPosition

    public static LatLonPoint moonPosition(long mssue)

  Given the number of milliseconds since the unix epoch, compute position on the earth (lat, lon) such that moon is directly overhead. From Duffet-Smith, chapter 65. Note: This is acting like it works, but I don't have anything to test it against. No promises.

  Parameters:
    `mssue` - milliseconds since unix epoch
  Returns:
    LatLonPoint of the point on the earth that is closest.

### adjustWithin2PI

    protected static double adjustWithin2PI(double num)

  Little function that resets the input to be within 0 - 2*PI, by adding or subtracting 2PI as needed.

  Parameters:
    `num` - The number to be modified, if needed.

### main

    public static void main(java.lang.String[] arg)

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