32voidcalc_cartesian_for_ellipse(double& x,double& y, double & z, double &vx, double &vy, double &vz, constdouble a, constdouble e, constdouble i, constdouble O, constdouble w, constdouble M, constdouble GM);
33void calc_keplerian_for_cartesian( double& a, double& e, double& i, double& O, double& w, double& M, constdoublex,constdouble y, constdouble z, constdouble vx, constdouble vy, constdouble vz, constdouble GM);