Calculation of the log of the illuminance of the moon outside the atmosphere.
This is the base 10 log of equation 20, converted from foot-candles to lux, from: Krisciunas K. and Schaefer B.E. (1991). A model of the brightness of moonlight, Publ. Astron. Soc. Pacif. 103(667), 1033-1039 (DOI: http://dx.doi.org/10.1086/132921).
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@@ -26,6 +26,7 @@
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#include <string.h>
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#include <simgear/debug/logstream.hxx>
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#include <simgear/math/SGMath.hxx>
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#include <math.h>
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@@ -82,8 +83,9 @@ void MoonPos::updatePosition(double mjd, double lst, double lat, Star *ourSun)
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Ls, Lm, D, F, mpar, gclat, rho, HA, g,
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geoRa, geoDec,
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cosN, sinN, cosvw, sinvw, sinvw_cosi, cosecl, sinecl, rcoslatEcl,
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FlesstwoD, MlesstwoD, twoD, twoM, twolat;
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FlesstwoD, MlesstwoD, twoD, twoM, twolat, alpha;
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double conv = 1.0319696543787917; // The log foot-candle to log lux conversion factor.
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updateOrbElements(mjd);
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actTime = sgCalcActTime(mjd);
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@@ -215,4 +217,14 @@ void MoonPos::updatePosition(double mjd, double lst, double lat, Star *ourSun)
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// Moon age and phase calculation
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age = lonEcl - ourSun->getlonEcl();
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phase = (1 - cos(age)) / 2;
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// The log of the illuminance of the moon outside the atmosphere.
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// This is the base 10 log of equation 20 from Krisciunas K. and Schaefer B.E.
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// (1991). A model of the brightness of moonlight, Publ. Astron. Soc. Pacif.
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// 103(667), 1033-1039 (DOI: http://dx.doi.org/10.1086/132921).
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alpha = SGD_RADIANS_TO_DEGREES * SGMiscd::normalizeAngle(age + SGMiscd::pi());
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log_I = -0.4 * (3.84 + 0.026*fabs(alpha) + 4e-9*pow(alpha, 4.0));
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// Convert from foot-candles to lux.
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log_I += conv;
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}
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@@ -41,6 +41,7 @@ private:
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double distance; // the moon's distance to the earth
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double age; // the moon's age from 0 to 2pi
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double phase; // the moon's phase
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double log_I; // the moon's illuminance outside the atmosphere (logged)
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// void TexInit(); // This should move to the constructor eventually.
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// GLUquadricObj *moonObject;
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@@ -68,6 +69,7 @@ public:
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double getDistance() const;
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double getAge() const;
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double getPhase() const;
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double getLogIlluminance() const;
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};
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inline double MoonPos::getM() const
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@@ -115,4 +117,9 @@ inline double MoonPos::getPhase() const
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return phase;
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}
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inline double MoonPos::getLogIlluminance() const
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{
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return log_I;
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}
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#endif // _MOONPOS_HXX_
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