k3ng_rotator_controller/libraries/P13/P13.h

//
// Plan13.cpp
//
// An implementation of Plan13 in C++ by Mark VandeWettering
//
// Plan13 is an algorithm for satellite orbit prediction first formulated
// by James Miller G3RUH.  I learned about it when I saw it was the basis 
// of the PIC based antenna rotator project designed by G6LVB.
//
// http://www.g6lvb.com/Articles/LVBTracker2/index.htm
//
// I ported the algorithm to Python, and it was my primary means of orbit
// prediction for a couple of years while I operated the "Easy Sats" with 
// a dual band hand held and an Arrow antenna.
//
// I've long wanted to redo the work in C++ so that I could port the code
// to smaller processors including the Atmel AVR chips.  Bruce Robertson,
// VE9QRP started the qrpTracker project to fufill many of the same goals,
// but I thought that the code could be made more compact and more modular,
// and could serve not just the embedded targets but could be of more
// use for more general applications.  And, I like the BSD License a bit
// better too.
//
// So, here it is!
//

/*

Copyright 2011, Mark VandeWettering. All rights reserved.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:

   1. Redistributions of source code must retain the above copyright
      notice, this list of conditions and the following disclaimer.

   2. Redistributions in binary form must reproduce the above copyright
      notice, this list of conditions and the following disclaimer 
      in the documentation and/or other materials provided with the 
      distribution.

THIS SOFTWARE IS PROVIDED BY MARK VANDEWETTERING ''AS IS'' AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL <COPYRIGHT HOLDER> OR
CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

The views and conclusions contained in the software and documentation
are those of the authors and should not be interpreted as representing
official policies, either expressed or implied, of Mark VandeWettering

*/

// Modification by Anthony Good, K3NG 2020-07-24: Change DateTime to SatDateTime to avoid a conflict with an RTC library I'm using

//----------------------------------------------------------------------

#if defined(ARDUINO) && ARDUINO >= 100
  #include "Arduino.h"
#else
  #include "WProgram.h"
#endif

// here are a bunch of constants that will be used throughout the 
// code, but which will probably not be helpful outside.

static const double RE = 6378.137f ;
static const double FL = 1.f/298.257224f ;
static const double GM = 3.986E5f ;
static const double J2 = 1.08263E-3f ;
static const double YM = 365.25f ;
static const double YT = 365.2421874f ;
static const double WW = 2.f*M_PI/YT ;
static const double WE = 2.f*M_PI+ WW ;
static const double W0 = WE/86400.f ;


static const double YG = 2014.f;
static const double G0 = 99.5828f;
static const double MAS0 = 356.4105f;
static const double MASD = 0.98560028f;
static const double EQC1 = 0.03340;
static const double EQC2 = 0.00035;
static const double INS = radians(23.4375f);

// static const double YG = 2000.f ;
// static const double G0 = 98.9821f ;
// static const double MAS0 = 356.0507f ;
// static const double MASD = 0.98560028f ;
// static const double EQC1 = 0.03342 ;
// static const double EQC2 = 0.00035 ;
// static const double INS = radians(23.4393f) ;

static const double CNS = cos(INS) ;
static const double SNS = sin(INS) ;

//----------------------------------------------------------------------

// the original BASIC code used three variables (e.g. Ox, Oy, Oz) to
// represent a vector quantity.  I think that makes for slightly more
// obtuse code, so I going to collapse them into a single variable 
// which is an array of three elements

typedef double Vec3[3] ;

//----------------------------------------------------------------------

class SatDateTime {
public:
	long DN ;
 	double TN ;
   	SatDateTime(int year, int month, int day, int h, int m, int s) ;
	SatDateTime(const SatDateTime &) ;
	SatDateTime() ;
	~SatDateTime() { } 
	void add(double) ;
   	void settime(int year, int month, int day, int h, int m, int s) ;
        void gettime(int& year, int& mon, int& day, int& h, int& m, int& s) ;
        void ascii(char *) ;
	void roundup(double) ;
} ;

//----------------------------------------------------------------------

class Observer {
public:
    const char *name ;
    double LA ;
    double LO ;
    double HT ;
    Vec3 U, E, N, O, V  ;
    
    Observer(const char *, double, double, double) ;
    ~Observer() { } ;
} ;

//----------------------------------------------------------------------


class Satellite { 
  	long N ;
	long YE ;	
        long DE ;
	double TE ;
	double IN ;
	double RA ;
	double EC ;
	double WP ;
	double MA ;
	double MM ;
	double M2 ;
	double RV ;
	double ALON ;
	double ALAT ;


	// these values are stored, but could be calculated on the fly
	// during calls to predict() 
	// classic space/time tradeoff

        double N0, A_0, B_0 ;
        double PC ;
        double QD, WD, DC ;
        double RS ;

public:
        const char *name ;
	Vec3 SAT, VEL ;		// celestial coordinates
    	Vec3 S, V ; 		// geocentric coordinates
 
	Satellite() { } ;
	Satellite(const char *name, const char *l1, const char *l2) ;
	~Satellite() ;
        void tle(const char *name, const char *l1, const char *l2) ;
        void predict(const SatDateTime &dt) ;
 	void LL(double &lat, double &lng) ;
	void altaz(const Observer &obs, double &alt, double &az) ;
} ;

class Sun {
public:
	Vec3 SUN, H ;
	Sun() ;
	~Sun() { } ;
        void predict(const SatDateTime &dt) ;
 	void LL(double &lat, double &lng) ;
	void altaz(const Observer &obs, double &alt, double &az) ;
} ;