pygaia/astrometry/coordinates.py
def transformProperMotionErrors(self, phi, theta, sigMuPhiStar, sigMuTheta, rhoMuPhiMuTheta=0):
        """
        Converts the proper motion errors from one reference system to another, including the covariance
        term. Equations (1.5.4) and (1.5.20) from section 1.5 in the Hipparcos Explanatory Volume 1 are used.

        Parameters
        ----------

        phi             - The longitude-like angle of the position of the source (radians).
        theta           - The latitude-like angle of the position of the source (radians).
        sigMuPhiStar    - Standard error in the proper motion in the longitude-like direction (including
        cos(latitude) factor).
        sigMuTheta      - Standard error in the proper motion in the latitude-like direction.

        Keywords (optional)
        -------------------

        rhoMuPhiMuTheta - Correlation coefficient of the proper motion errors. Set to zero if this 
                          keyword is not provided.

        Retuns
        ------
        
        sigMuPhiRotStar    - The transformed standard error in the proper motion in the longitude direction
        (including cos(latitude) factor).
        sigMuThetaRot      - The transformed standard error in the proper motion in the longitude direction.
        rhoMuPhiMuThetaRot - The transformed correlation coefficient.
        """
        return self.transformSkyCoordinateErrors(phi, theta, sigMuPhiStar, sigMuTheta,
                rhoPhiTheta=rhoMuPhiMuTheta)
def transformProperMotionErrors(self, phi, theta, sigMuPhiStar, sigMuTheta, rhoMuPhiMuTheta=0):
        """
        Converts the proper motion errors from one reference system to another, including the covariance
        term. Equations (1.5.4) and (1.5.20) from section 1.5 in the Hipparcos Explanatory Volume 1 are used.

        Parameters
        ----------

        phi             - The longitude-like angle of the position of the source (radians).
        theta           - The latitude-like angle of the position of the source (radians).
        sigMuPhiStar    - Standard error in the proper motion in the longitude-like direction (including
        cos(latitude) factor).
        sigMuTheta      - Standard error in the proper motion in the latitude-like direction.

        Keywords (optional)
        -------------------

        rhoMuPhiMuTheta - Correlation coefficient of the proper motion errors. Set to zero if this 
                          keyword is not provided.

        Retuns
        ------
        
        sigMuPhiRotStar    - The transformed standard error in the proper motion in the longitude direction
        (including cos(latitude) factor).
        sigMuThetaRot      - The transformed standard error in the proper motion in the longitude direction.
        rhoMuPhiMuThetaRot - The transformed correlation coefficient.
        """
        return self.transformSkyCoordinateErrors(phi, theta, sigMuPhiStar, sigMuTheta,
                rhoPhiTheta=rhoMuPhiMuTheta)
def transformProperMotionErrors ( self , phi , theta , sigMuPhiStar , sigMuTheta , rhoMuPhiMuTheta = 0 ) : return self . transformSkyCoordinateErrors ( phi , theta , sigMuPhiStar , sigMuTheta , rhoPhiTheta = rhoMuPhiMuTheta )
Converts the proper motion errors from one reference system to another, including the covariance
        term. Equations (1.5.4) and (1.5.20) from section 1.5 in the Hipparcos Explanatory Volume 1 are used.

        Parameters
        ----------

        phi             - The longitude-like angle of the position of the source (radians).
        theta           - The latitude-like angle of the position of the source (radians).
        sigMuPhiStar    - Standard error in the proper motion in the longitude-like direction (including
        cos(latitude) factor).
        sigMuTheta      - Standard error in the proper motion in the latitude-like direction.

        Keywords (optional)
        -------------------

        rhoMuPhiMuTheta - Correlation coefficient of the proper motion errors. Set to zero if this 
                          keyword is not provided.

        Retuns
        ------
        
        sigMuPhiRotStar    - The transformed standard error in the proper motion in the longitude direction
        (including cos(latitude) factor).
        sigMuThetaRot      - The transformed standard error in the proper motion in the longitude direction.
        rhoMuPhiMuThetaRot - The transformed correlation coefficient.
Converts the proper motion errors from one reference system to another including the covariance term . Equations ( 1 . 5 . 4 ) and ( 1 . 5 . 20 ) from section 1 . 5 in the Hipparcos Explanatory Volume 1 are used .