OsculatingElements.h

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//     ____   ______ __
//    / __ \ / ____// /
//   / /_/ // /    / /
//  / ____// /___ / /___   PixInsight Class Library
// /_/     \____//_____/   PCL 2.7.0
// ----------------------------------------------------------------------------
// pcl/OsculatingElements.h - Released 2024-06-18T15:48:54Z
// ----------------------------------------------------------------------------
// This file is part of the PixInsight Class Library (PCL).
// PCL is a multiplatform C++ framework for development of PixInsight modules.
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// ----------------------------------------------------------------------------
 
#ifndef __PCL_OsculatingElements_h
#define __PCL_OsculatingElements_h
 
 
#include <pcl/Defs.h>
 
#include <pcl/TimePoint.h>
#include <pcl/Vector.h>
 
namespace pcl
{
 
// ----------------------------------------------------------------------------
 
class PCL_CLASS OsculatingElements
{
public:
 
   double    a = 0.0; 
   double    q = 0.0; 
   double    e = 0.0; 
   double    M = 0.0; 
   TimePoint T = 0.0; 
   double    i = 0.0; 
   double    O = 0.0; 
   double    w = 0.0; 
 
   OsculatingElements() = default;
 
   OsculatingElements( const OsculatingElements& ) = default;
 
   OsculatingElements( const Vector& r, const Vector& v, const TimePoint& t, double GM = 0, double m = 0 );
 
   static OsculatingElements FromStateVectors( const Vector& r, const Vector& v, const TimePoint& t, double GM = 0, double m = 0 )
   {
      return OsculatingElements( r, v, t, GM, m );
   }
 
   void ToStateVectors( Vector& r, Vector& v, const TimePoint& t, double GM = 0, double m = 0 ) const;
 
   inline bool IsNearParabolic() const
   {
      return Abs( 1 - this->e ) < 0.001;
   }
 
   double MeanMotion( double GM = 0, double m = 0 ) const;
 
   double OrbitalPeriod( double GM = 0, double m = 0 ) const;
 
   double MeanAnomalyFromTimeOfPerifocalPassage( const TimePoint& t, double GM = 0, double m = 0 ) const
   {
      return Norm2Pi( MeanMotion( GM, m )*(t - this->T) );
   }
 
   double MeanAnomalyFromTimeOfPerihelionPassage( const TimePoint& t, double GM = 0, double m = 0 ) const
   {
      return MeanAnomalyFromTimeOfPerifocalPassage( t, GM, m );
   }
 
   TimePoint TimeOfPerifocalPassageFromMeanAnomaly( const TimePoint& t, double GM = 0, double m = 0 ) const
   {
      return t - this->M/MeanMotion( GM, m );
   }
 
   TimePoint TimeOfPerihelionPassageFromMeanAnomaly( const TimePoint& t, double GM = 0, double m = 0 ) const
   {
      return TimeOfPerifocalPassageFromMeanAnomaly( t, GM, m );
   }
 
   double PerifocalDistanceFromSemimajorAxis() const
   {
      return (1 - this->e)*this->a;
   }
 
   double PerihelionDistanceFromSemimajorAxis() const
   {
      return PerifocalDistanceFromSemimajorAxis();
   }
 
   double SemimajorAxisFromPerifocalDistance() const
   {
      double ai = (1 - this->e)/this->q;
      if ( Abs( ai ) < 2*std::numeric_limits<double>::epsilon() )
         return 0;
      return 1/ai;
   }
 
   double SemimajorAxisFromPerihelionDistance() const
   {
      return SemimajorAxisFromPerifocalDistance();
   }
 
   void ToPerifocalPositionAndVelocity( double& xp, double& yp, double& xv, double& yv, const TimePoint& t, double GM = 0, double m = 0 ) const;
 
   void ToPerifocalPosition( double& xp, double& yp, const TimePoint& t, double GM = 0, double m = 0 ) const
   {
      double u1, u2;
      ToPerifocalPositionAndVelocity( xp, yp, u1, u2, t, GM, m );
   }
 
   static void GetOrbitOrientationFromStateVectors( double& i, double& O, double& w, const Vector& r, const Vector& v, double GM = 0, double m = 0 );
};
 
// ----------------------------------------------------------------------------
 
} // pcl
 
#endif   // __PCL_OsculatingElements_h
 
// ----------------------------------------------------------------------------
// EOF pcl/OsculatingElements.h - Released 2024-06-18T15:48:54Z