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/***********************************************/
/**
* @file miscAccelerationsRelativisticEffect.h
*
* @brief Relativistic effect (IERS2010).
* @see MiscAccelerations
*
* @author Torsten Mayer-Guerr
* @date 2014-03-15
*
*/
/***********************************************/
#ifndef __GROOPS_MISCACCELERATIONSRELATIVISTICEFFECT__
#define __GROOPS_MISCACCELERATIONSRELATIVISTICEFFECT__
// Latex documentation
#ifdef DOCSTRING_MiscAccelerations
static const char *docstringMiscAccelerationsRelativisticEffect = R"(
\subsection{Relativistic effect}\label{miscAccelerationsType:relativisticEffect}
The relativistic effect to the acceleration of an artificial Earth satellite
according to IERS2010 conventions.
The macro model and the attitude of the satellite is not needed.
)";
#endif
/***********************************************/
#include "base/planets.h"
#include "inputOutput/logging.h"
#include "classes/miscAccelerations/miscAccelerations.h"
/***** CLASS ***********************************/
/** @brief Relativistic effect (IERS2010).
* @ingroup miscAccelerationsGroup
* @see MiscAccelerations */
class MiscAccelerationsRelativisticEffect : public MiscAccelerationsBase
{
Double factor;
Double GM;
Double beta, gamma;
Vector3d J;
public:
MiscAccelerationsRelativisticEffect(Config &config);
Vector3d acceleration(SatelliteModelPtr satellite, const Time &time, const Vector3d &position, const Vector3d &velocity,
const Rotary3d &rotSat, const Rotary3d &rotEarth, EphemeridesPtr ephemerides) override;
};
/***********************************************/
inline MiscAccelerationsRelativisticEffect::MiscAccelerationsRelativisticEffect(Config &config)
{
try
{
Double momentum;
readConfig(config, "beta", beta, Config::DEFAULT, "1.0", "PPN (parameterized post-Newtonian) parameter");
readConfig(config, "gamma", gamma, Config::DEFAULT, "1.0", "PPN (parameterized post-Newtonian) parameter");
readConfig(config, "J", momentum, Config::DEFAULT, "9.8e8", "Earth’s angular momentum per unit mass [m**2/s]");
readConfig(config, "GM", GM, Config::DEFAULT, STRING_DEFAULT_GM, "Geocentric gravitational constant");
readConfig(config, "factor", factor, Config::DEFAULT, "1.0", "the result is multiplied by this factor");
if(isCreateSchema(config)) return;
J = Vector3d(0, 0, momentum);
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
inline Vector3d MiscAccelerationsRelativisticEffect::acceleration(SatelliteModelPtr /*satellite*/, const Time &time,
const Vector3d &pos, const Vector3d &vel,
const Rotary3d &/*rotSat*/, const Rotary3d &rotEarth, EphemeridesPtr ephemerides)
{
try
{
if(!ephemerides)
throw(Exception("No ephemerides given"));
if(vel.r() == 0.)
logWarning<<"MiscAccelerationsRelativisticEffect: velocity is zero"<<Log::endl;
// Position and velocity of sun relative to Earth
Vector3d posSun, velSun;
ephemerides->ephemeris(time, Ephemerides::SUN, posSun, velSun);
const Double r = pos.r();
const Vector3d a = GM/pow(LIGHT_VELOCITY,2)/pow(r,3) * ((2*(beta+gamma)*GM/r-gamma*vel.quadsum())*pos + 2*(1+gamma)*inner(pos,vel) * vel
+(1+gamma)*(3/r/r*inner(pos,J)*crossProduct(pos,vel) + crossProduct(vel,J)))
+ GM_Sun/pow(LIGHT_VELOCITY,2)/pow(posSun.r(),3) * (1+2*gamma) * crossProduct(crossProduct(velSun, posSun), vel);
return factor * rotEarth.rotate(a);
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
#endif
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