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// |
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// stdafx.h |
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// |
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#ifndef sgp4_h |
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#define sgp4_h |
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|
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//#define WIN32_LEAN_AND_MEAN // Exclude rarely-used stuff from Windows headers |
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#include <stdio.h> |
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//#include <tchar.h> |
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#include <ctype.h> |
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#include <string> |
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#include <map> |
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#include <vector> |
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#include <algorithm> |
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#include <assert.h> |
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#include <time.h> |
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#include <math.h> |
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|
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using namespace std; |
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// |
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// globals.h |
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// |
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|
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const double PI = 3.141592653589793; |
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const double TWOPI = 2.0 * PI; |
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const double RADS_PER_DEG = PI / 180.0; |
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|
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const double GM = 398601.2; // Earth gravitational constant, km^3/sec^2 |
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const double GEOSYNC_ALT = 42241.892; // km |
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const double EARTH_DIA = 12800.0; // km |
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const double DAY_SIDERAL = (23 * 3600) + (56 * 60) + 4.09; // sec |
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const double DAY_24HR = (24 * 3600); // sec |
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|
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const double AE = 1.0; |
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const double AU = 149597870.0; // Astronomical unit (km) (IAU 76) |
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const double SR = 696000.0; // Solar radius (km) (IAU 76) |
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const double TWOTHRD = 2.0 / 3.0; |
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const double XKMPER_WGS72 = 6378.135; // Earth equatorial radius - km (WGS '72) |
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const double F = 1.0 / 298.26; // Earth flattening (WGS '72) |
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const double GE = 398600.8; // Earth gravitational constant (WGS '72) |
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const double J2 = 1.0826158E-3; // J2 harmonic (WGS '72) |
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const double J3 = -2.53881E-6; // J3 harmonic (WGS '72) |
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const double J4 = -1.65597E-6; // J4 harmonic (WGS '72) |
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const double CK2 = J2 / 2.0; |
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const double CK4 = -3.0 * J4 / 8.0; |
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const double XJ3 = J3; |
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const double E6A = 1.0e-06; |
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const double QO = AE + 120.0 / XKMPER_WGS72; |
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const double S = AE + 78.0 / XKMPER_WGS72; |
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const double HR_PER_DAY = 24.0; // Hours per day (solar) |
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const double MIN_PER_DAY = 1440.0; // Minutes per day (solar) |
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const double SEC_PER_DAY = 86400.0; // Seconds per day (solar) |
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const double OMEGA_E = 1.00273790934; // earth rotation per sideral day |
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const double XKE = sqrt(3600.0 * GE / //sqrt(ge) ER^3/min^2 |
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(XKMPER_WGS72 * XKMPER_WGS72 * XKMPER_WGS72)); |
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const double QOMS2T = pow((QO - S), 4); //(QO - S)^4 ER^4 |
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|
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// Utility functions |
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double sqr (const double x); |
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double Fmod2p(const double arg); |
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double AcTan (const double sinx, double cosx); |
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|
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double rad2deg(const double); |
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double deg2rad(const double); |
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// |
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// coord.h |
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// |
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// Copyright 2002-2003 Michael F. Henry |
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// |
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////////////////////////////////////////////////////////////////////// |
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// Geocentric coordinates. |
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class cCoordGeo |
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{ |
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public: |
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cCoordGeo(); |
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cCoordGeo(double lat, double lon, double alt) : |
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m_Lat(lat), m_Lon(lon), m_Alt(alt) {} |
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virtual ~cCoordGeo() {}; |
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|
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double m_Lat; // Latitude, radians (negative south) |
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double m_Lon; // Longitude, radians (negative west) |
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double m_Alt; // Altitude, km (above mean sea level) |
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}; |
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|
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////////////////////////////////////////////////////////////////////// |
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// Topocentric-Horizon coordinates. |
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class cCoordTopo |
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{ |
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public: |
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cCoordTopo(); |
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cCoordTopo(double az, double el, double rng, double rate) : |
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m_Az(az), m_El(el), m_Range(rng), m_RangeRate(rate) {} |
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virtual ~cCoordTopo() {}; |
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|
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double m_Az; // Azimuth, radians |
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double m_El; // Elevation, radians |
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double m_Range; // Range, kilometers |
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double m_RangeRate; // Range rate of change, km/sec |
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// Negative value means "towards observer" |
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}; |
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|
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// cVector.h: interface for the cVector class. |
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// |
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// Copyright 2003 (c) Michael F. Henry |
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// |
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////////////////////////////////////////////////////////////////////// |
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|
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class cVector |
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{ |
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public: |
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cVector(double x = 0.0, double y = 0.0, double z = 0.0, double w = 0.0) : |
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m_x(x), m_y(y), m_z(z), m_w(w) {} |
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virtual ~cVector() {}; |
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|
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void Sub(const cVector&); // subtraction |
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void Mul(double factor); // multiply each component by 'factor' |
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|
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double Angle(const cVector&) const; // angle between two vectors |
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double Magnitude() const; // vector magnitude |
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double Dot(const cVector& vec) const; // dot product |
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|
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// protected: |
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double m_x; |
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double m_y; |
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double m_z; |
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double m_w; |
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}; |
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// |
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// cTle.h |
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// |
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// This class will accept a single set of two-line elements and then allow |
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// a client to request specific fields, such as epoch, mean motion, |
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// etc., from the set. |
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// |
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// Copyright 1996-2003 Michael F. Henry |
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// |
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///////////////////////////////////////////////////////////////////////////// |
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class cTle |
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{ |
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public: |
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cTle(string&, string&, string&); |
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cTle(const cTle &tle); |
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~cTle(); |
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|
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enum eTleLine |
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{ |
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LINE_ZERO, |
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LINE_ONE, |
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LINE_TWO |
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}; |
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|
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enum eField |
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{ |
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FLD_FIRST, |
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FLD_NORADNUM = FLD_FIRST, |
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FLD_INTLDESC, |
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FLD_SET, // TLE set number |
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FLD_EPOCHYEAR, // Epoch: Last two digits of year |
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FLD_EPOCHDAY, // Epoch: Fractional Julian Day of year |
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FLD_ORBITNUM, // Orbit at epoch |
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FLD_I, // Inclination |
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FLD_RAAN, // R.A. ascending node |
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FLD_E, // Eccentricity |
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FLD_ARGPER, // Argument of perigee |
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FLD_M, // Mean anomaly |
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FLD_MMOTION, // Mean motion |
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FLD_MMOTIONDT, // First time derivative of mean motion |
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FLD_MMOTIONDT2,// Second time derivative of mean motion |
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FLD_BSTAR, // BSTAR Drag |
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FLD_LAST // MUST be last |
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}; |
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|
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enum eUnits |
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{ |
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U_FIRST, |
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U_RAD = U_FIRST, // radians |
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U_DEG, // degrees |
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U_NATIVE, // TLE format native units (no conversion) |
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U_LAST // MUST be last |
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}; |
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|
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void Initialize(); |
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|
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static int CheckSum(const string&); |
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static bool IsValidLine(string&, eTleLine); |
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static string ExpToDecimal(const string&); |
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|
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static void TrimLeft(string&); |
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static void TrimRight(string&); |
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|
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double getField(eField fld, // which field to retrieve |
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eUnits unit = U_NATIVE, // return units in rad, deg etc. |
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string *pstr = NULL, // return ptr for str value |
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bool bStrUnits = false) // 'true': append units to str val |
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const; |
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string getName() const { return m_strName; } |
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string getLine1() const { return m_strLine1;} |
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string getLine2() const { return m_strLine2;} |
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|
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protected: |
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static double ConvertUnits(double val, eField fld, eUnits units); |
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|
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private: |
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string getUnits(eField) const; |
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double getFieldNumeric(eField) const; |
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|
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// Satellite name and two data lines |
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string m_strName; |
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string m_strLine1; |
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string m_strLine2; |
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|
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// Converted fields, in atof()-readable form |
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string m_Field[FLD_LAST]; |
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|
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// Cache of field values in "double" format |
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typedef int FldKey; |
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FldKey Key(eUnits u, eField f) const { return (u * 100) + f; } |
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mutable map<FldKey, double> m_mapCache; |
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}; |
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|
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/////////////////////////////////////////////////////////////////////////// |
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// |
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// TLE data format |
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// |
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// [Reference: T.S. Kelso] |
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// |
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// Two line element data consists of three lines in the following format: |
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// |
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// AAAAAAAAAAAAAAAAAAAAAA |
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// 1 NNNNNU NNNNNAAA NNNNN.NNNNNNNN +.NNNNNNNN +NNNNN-N +NNNNN-N N NNNNN |
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// 2 NNNNN NNN.NNNN NNN.NNNN NNNNNNN NNN.NNNN NNN.NNNN NN.NNNNNNNNNNNNNN |
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// |
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// Line 0 is a twenty-two-character name. |
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// |
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// Lines 1 and 2 are the standard Two-Line Orbital Element Set Format identical |
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// to that used by NORAD and NASA. The format description is: |
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// |
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// Line 1 |
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// Column Description |
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// 01-01 Line Number of Element Data |
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// 03-07 Satellite Number |
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// 10-11 International Designator (Last two digits of launch year) |
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// 12-14 International Designator (Launch number of the year) |
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// 15-17 International Designator (Piece of launch) |
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// 19-20 Epoch Year (Last two digits of year) |
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// 21-32 Epoch (Julian Day and fractional portion of the day) |
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// 34-43 First Time Derivative of the Mean Motion |
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// or Ballistic Coefficient (Depending on ephemeris type) |
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// 45-52 Second Time Derivative of Mean Motion (decimal point assumed; |
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// blank if N/A) |
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// 54-61 BSTAR drag term if GP4 general perturbation theory was used. |
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// Otherwise, radiation pressure coefficient. (Decimal point assumed) |
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// 63-63 Ephemeris type |
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// 65-68 Element number |
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// 69-69 Check Sum (Modulo 10) |
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// (Letters, blanks, periods, plus signs = 0; minus signs = 1) |
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// |
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// Line 2 |
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// Column Description |
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// 01-01 Line Number of Element Data |
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// 03-07 Satellite Number |
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// 09-16 Inclination [Degrees] |
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// 18-25 Right Ascension of the Ascending Node [Degrees] |
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// 27-33 Eccentricity (decimal point assumed) |
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// 35-42 Argument of Perigee [Degrees] |
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// 44-51 Mean Anomaly [Degrees] |
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// 53-63 Mean Motion [Revs per day] |
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// 64-68 Revolution number at epoch [Revs] |
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// 69-69 Check Sum (Modulo 10) |
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// |
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// All other columns are blank or fixed. |
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// |
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// Example: |
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// |
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// NOAA 6 |
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// 1 11416U 86 50.28438588 0.00000140 67960-4 0 5293 |
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// 2 11416 98.5105 69.3305 0012788 63.2828 296.9658 14.24899292346978 |
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|
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// |
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// cJulian.h |
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// |
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// Copyright (c) 2003 Michael F. Henry |
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// |
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// |
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// See note in cJulian.cpp for information on this class and the epoch dates |
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// |
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const double EPOCH_JAN1_00H_1900 = 2415019.5; // Jan 1.0 1900 = Jan 1 1900 00h UTC |
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const double EPOCH_JAN1_12H_1900 = 2415020.0; // Jan 1.5 1900 = Jan 1 1900 12h UTC |
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const double EPOCH_JAN1_12H_2000 = 2451545.0; // Jan 1.5 2000 = Jan 1 2000 12h UTC |
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|
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////////////////////////////////////////////////////////////////////////////// |
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class cJulian |
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{ |
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public: |
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cJulian() { Initialize(2000, 1); } |
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explicit cJulian(time_t t); // Create from time_t |
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explicit cJulian(int year, double day); // Create from year, day of year |
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explicit cJulian(int year, // i.e., 2004 |
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int mon, // 1..12 |
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int day, // 1..31 |
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int hour, // 0..23 |
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int min, // 0..59 |
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double sec = 0.0); // 0..(59.999999...) |
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~cJulian() {}; |
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|
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double toGMST() const; // Greenwich Mean Sidereal Time |
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double toLMST(double lon) const; // Local Mean Sideral Time |
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time_t toTime() const; // To time_t type - avoid using |
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|
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double FromJan1_00h_1900() const { return m_Date - EPOCH_JAN1_00H_1900; } |
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double FromJan1_12h_1900() const { return m_Date - EPOCH_JAN1_12H_1900; } |
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double FromJan1_12h_2000() const { return m_Date - EPOCH_JAN1_12H_2000; } |
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|
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void getComponent(int *pYear, int *pMon = NULL, double *pDOM = NULL) const; |
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double getDate() const { return m_Date; } |
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|
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void addDay (double day) { m_Date += day; } |
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void addHour(double hr ) { m_Date += (hr / HR_PER_DAY ); } |
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void addMin (double min) { m_Date += (min / MIN_PER_DAY); } |
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void addSec (double sec) { m_Date += (sec / SEC_PER_DAY); } |
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|
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double spanDay (const cJulian& b) const { return m_Date - b.m_Date; } |
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double spanHour(const cJulian& b) const { return spanDay(b) * HR_PER_DAY; } |
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double spanMin (const cJulian& b) const { return spanDay(b) * MIN_PER_DAY; } |
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double spanSec (const cJulian& b) const { return spanDay(b) * SEC_PER_DAY; } |
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|
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static bool IsLeapYear(int y) |
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{ return (y % 4 == 0 && y % 100 != 0) || (y % 400 == 0); } |
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|
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protected: |
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void Initialize(int year, double day); |
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|
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double m_Date; // Julian date |
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}; |
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// |
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// cEci.h |
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// |
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// Copyright (c) 2003 Michael F. Henry |
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// |
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////////////////////////////////////////////////////////////////////// |
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// class cEci |
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// Encapsulates an Earth-Centered Inertial position, velocity, and time. |
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class cEci |
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{ |
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public: |
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cEci() { m_VecUnits = UNITS_NONE; } |
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cEci(const cCoordGeo &geo, const cJulian &cJulian); |
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cEci(const cVector &pos, const cVector &vel, |
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const cJulian &date, bool IsAeUnits = true); |
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virtual ~cEci() {}; |
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|
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cCoordGeo toGeo(); |
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|
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cVector getPos() const { return m_pos; } |
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cVector getVel() const { return m_vel; } |
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cJulian getDate() const { return m_date; } |
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|
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void setUnitsAe() { m_VecUnits = UNITS_AE; } |
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void setUnitsKm() { m_VecUnits = UNITS_KM; } |
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bool UnitsAreAe() const { return m_VecUnits == UNITS_AE; } |
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bool UnitsAreKm() const { return m_VecUnits == UNITS_KM; } |
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void ae2km(); // Convert position, velocity vector units from AE to km |
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|
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protected: |
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void MulPos(double factor) { m_pos.Mul(factor); } |
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void MulVel(double factor) { m_vel.Mul(factor); } |
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|
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enum VecUnits |
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{ |
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UNITS_NONE, // not initialized |
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UNITS_AE, |
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UNITS_KM, |
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}; |
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|
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cVector m_pos; |
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cVector m_vel; |
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cJulian m_date; |
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VecUnits m_VecUnits; |
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}; |
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#endif |
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