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/*
* Methods of class Bin_bhns to compute an orbital angular velocity
* from two points at the stellar surface
*
* (see file bin_bhns.h for documentation).
*
*/
/*
* Copyright (c) 2006-2007 Keisuke Taniguchi
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License version 2
* as published by the Free Software Foundation.
*
* LORENE is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
char star_bhns_omega_tp_C[] = "$Header: /cvsroot/Lorene/C++/Source/Bin_bhns/bin_bhns_omega_tp.C,v 1.4 2014/10/13 08:52:41 j_novak Exp $" ;
/*
* $Id: bin_bhns_omega_tp.C,v 1.4 2014/10/13 08:52:41 j_novak Exp $
* $Log: bin_bhns_omega_tp.C,v $
* Revision 1.4 2014/10/13 08:52:41 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:13:00 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2008/05/15 19:00:27 k_taniguchi
* Change of some parameters.
*
* Revision 1.1 2007/06/22 01:10:00 k_taniguchi
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Bin_bhns/bin_bhns_omega_tp.C,v 1.4 2014/10/13 08:52:41 j_novak Exp $
*
*/
// C++ headers
//#include <>
// C headers
#include <cmath>
// Lorene headers
#include "bin_bhns.h"
#include "unites.h"
#include "utilitaires.h"
//---------------------------------------------------//
// Orbaital angular velocity from two points //
//---------------------------------------------------//
namespace Lorene {
double Bin_bhns::omega_two_points() const {
// Fundamental constants and units
// -------------------------------
using namespace Unites ;
if (p_omega_two_points == 0x0) { // a new computation is required
double omega_two ;
const Scalar& lapconf = star.get_lapconf_tot() ;
const Scalar& confo = star.get_confo_tot() ;
const Scalar& psi4 = star.get_psi4() ;
const Vector& shift = star.get_shift_tot() ;
const Scalar& gam = star.get_gam() ;
int ii = (star.get_mp()).get_mg()->get_nr(0) - 1 ;
int jj = (star.get_mp()).get_mg()->get_nt(0) - 1 ;
int ka = 0 ;
int kb = (star.get_mp()).get_mg()->get_np(0) / 2 ;
double psi4_a = psi4.val_grid_point(0,ka,jj,ii) ;
double psi4_b = psi4.val_grid_point(0,kb,jj,ii) ;
double con2_a = confo.val_grid_point(0,ka,jj,ii)
* confo.val_grid_point(0,ka,jj,ii) ;
double con2_b = confo.val_grid_point(0,kb,jj,ii)
* confo.val_grid_point(0,kb,jj,ii) ;
double gam2_a = gam.val_grid_point(0,ka,jj,ii)
* gam.val_grid_point(0,ka,jj,ii) ;
double gam2_b = gam.val_grid_point(0,kb,jj,ii)
* gam.val_grid_point(0,kb,jj,ii) ;
double lap2_a = lapconf.val_grid_point(0,ka,jj,ii)
* lapconf.val_grid_point(0,ka,jj,ii) ;
double lap2_b = lapconf.val_grid_point(0,kb,jj,ii)
* lapconf.val_grid_point(0,kb,jj,ii) ;
double shiftx_a = shift(1).val_grid_point(0,ka,jj,ii) ;
double shiftx_b = shift(1).val_grid_point(0,kb,jj,ii) ;
double shifty_a = shift(2).val_grid_point(0,ka,jj,ii) ;
double shifty_b = shift(2).val_grid_point(0,kb,jj,ii) ;
double shiftz_a = shift(3).val_grid_point(0,ka,jj,ii) ;
double shiftz_b = shift(3).val_grid_point(0,kb,jj,ii) ;
double xns_rot = (star.get_mp()).get_ori_x() - x_rot ;
double yns_rot = (star.get_mp()).get_ori_y() - y_rot ;
double ra = star.ray_eq() ;
double rb = star.ray_eq_pi() ;
if (hole.is_kerrschild()) {
cout << "!!!!! WARNING: Not yet available !!!!!" << endl ;
abort() ;
/*
double y_separ = (star.get_mp()).get_ori_y() ;
double xbh_rot = (hole.get_mp()).get_ori_x() - x_rot ;
double mass = ggrav * hole.get_mass_bh() ;
double rbh_a = sqrt( (ra+separ)*(ra+separ) + y_separ*y_separ ) ;
double rbh_b = sqrt( (-rb+separ)*(-rb+separ) + y_separ*y_separ ) ;
double msr_a = 2.*mass / pow(rbh_a, 3.) ;
double msr_b = 2.*mass / pow(rbh_b, 3.) ;
double sa = shiftx_a*shiftx_a+shifty_a*shifty_a+shiftz_a*shiftz_a
+ msr_a * ((ra+separ)*shiftx_a + y_separ*shifty_a)
* ((ra+separ)*shiftx_a + y_separ*shifty_a) ;
double sb = shiftx_b*shiftx_b+shifty_b*shifty_b+shiftz_b*shiftz_b
+ msr_b * ((-rb+separ)*shiftx_b + y_separ*shifty_b)
* ((-rb+separ)*shiftx_b + y_separ*shifty_b) ;
double ta = -shiftx_a*yns_rot + shifty_a*(ra+xns_rot)
+ msr_a * ((ra+separ)*shiftx_a + y_separ*shifty_a)
* y_separ * xbh_rot ;
double tb = -shiftx_b*yns_rot + shifty_b*(-rb+xns_rot)
+ msr_b * ((-rb+separ)*shiftx_b + y_separ*shifty_b)
* y_separ * xbh_rot ;
double ua = yns_rot*yns_rot + (ra+xns_rot)*(ra+xns_rot)
+ msr_a * y_separ * y_separ * xbh_rot * xbh_rot ;
double ub = yns_rot*yns_rot + (-rb+xns_rot)*(-rb+xns_rot)
+ msr_b * y_separ * y_separ * xbh_rot * xbh_rot ;
// Coefficients : Omega^2 * aaa + 2*Omega * bbb + ccc = 0
// ------------------------------------------------------
double aaa = psi4_a * gam2_a * ua - psi4_b * gam2_b * ub ;
double bbb = psi4_a * gam2_a * ta - psi4_b * gam2_b * tb ;
double ccc = psi4_a * gam2_a * sa - psi4_b * gam2_b * sb
- lap2_a * gam2_a + lap2_b * gam2_b ;
// Term inside the square root : ddd = bbb*bbb - aaa*ccc
// -----------------------------------------------------
double ddd = bbb*bbb - aaa*ccc ;
if ( ddd < 0 ) {
cout <<
"!!! WARNING : Omega (from two points) does not exist !!!"
<< endl ;
omega_two = 0. ;
}
else {
double omega_1 = (-bbb + sqrt(ddd)) / aaa ;
double omega_2 = (-bbb - sqrt(ddd)) / aaa ;
cout << "Bin_bhns::omega_two_points:" << endl ;
cout << " omega_1 : " << omega_1 * f_unit << " [rad/s]"
<< endl ;
cout << " omega_2 : " << omega_2 * f_unit << " [rad/s]"
<< endl ;
omega_two = omega_1 ;
}
*/
}
else { // Isotropic coordinates with the maximal slicing
double sa = shiftx_a*shiftx_a+shifty_a*shifty_a+shiftz_a*shiftz_a ;
double sb = shiftx_b*shiftx_b+shifty_b*shifty_b+shiftz_b*shiftz_b ;
double ta = -shiftx_a*yns_rot + shifty_a*(ra+xns_rot) ;
double tb = -shiftx_b*yns_rot + shifty_b*(-rb+xns_rot) ;
double ua = yns_rot*yns_rot + (ra+xns_rot)*(ra+xns_rot) ;
double ub = yns_rot*yns_rot + (-rb+xns_rot)*(-rb+xns_rot) ;
// Coefficients : Omega^2 * aaa + 2*Omega * bbb + ccc = 0
// ------------------------------------------------------
double aaa = psi4_a * gam2_a * ua - psi4_b * gam2_b * ub ;
double bbb = psi4_a * gam2_a * ta - psi4_b * gam2_b * tb ;
double ccc = psi4_a * gam2_a * sa - psi4_b * gam2_b * sb
- lap2_a * gam2_a / con2_a + lap2_b * gam2_b / con2_b ;
// Term inside the square root : ddd = bbb*bbb - aaa*ccc
// -----------------------------------------------------
double ddd = bbb*bbb - aaa*ccc ;
if ( ddd < 0 ) {
cout <<
"!!! WARNING : Omega (from two points) does not exist !!!"
<< endl ;
omega_two = 0. ;
}
else {
double omega_1 = (-bbb + sqrt(ddd)) / aaa ;
double omega_2 = (-bbb - sqrt(ddd)) / aaa ;
cout << "Bin_bhns::omega_two_points:" << endl ;
cout << " omega_1 : " << omega_1 * f_unit << " [rad/s]"
<< endl ;
cout << " omega_2 : " << omega_2 * f_unit << " [rad/s]"
<< endl ;
omega_two = omega_1 ;
}
}
p_omega_two_points = new double( omega_two ) ;
}
return *p_omega_two_points ;
}
}
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