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/*
* Methods of class Bin_bhns_extr to set analytical value to omega
*
* (see file bin_bhns_extr.h for documentation).
*
*/
/*
* Copyright (c) 2004 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 bin_bhns_extr_omegaana_C[] = "$Header: /cvsroot/Lorene/C++/Source/Bin_bhns_extr/bin_bhns_extr_omegaana.C,v 1.3 2014/10/13 08:52:42 j_novak Exp $" ;
/*
* $Id: bin_bhns_extr_omegaana.C,v 1.3 2014/10/13 08:52:42 j_novak Exp $
* $Log: bin_bhns_extr_omegaana.C,v $
* Revision 1.3 2014/10/13 08:52:42 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:13:00 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2004/11/30 20:46:36 k_taniguchi
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Bin_bhns_extr/bin_bhns_extr_omegaana.C,v 1.3 2014/10/13 08:52:42 j_novak Exp $
*
*/
// C headers
#include <cmath>
// Lorene headers
#include "bin_bhns_extr.h"
#include "unites.h"
namespace Lorene {
void Bin_bhns_extr::analytical_omega() {
using namespace Unites ;
// BH-NS binary systems should be relativistic
// -------------------------------------------
if ( !star.is_relativistic() ) {
cout << "BH-NS binary systems should be relativistic !!!" << endl ;
abort() ;
}
double rr = separ ;
double mtot = mass_bh ; // Approximates the extreme mass ratio
// Compaction factor
double compact = ggrav * mtot / rr ;
double omega2 ;
if ( star.is_irrotational() ) {
// Irrotational case
// -----------------
omega2 = ggrav * mtot / pow(rr, 3.)
* (1. - 2.75 * compact + 8.625 * compact*compact ) ;
}
else {
// Corotating case
// ---------------
// a0/R
double a0sr = star.ray_eq() / rr ;
// Rescaled moment of inertia 5 I / (2 M a0^2)
double ired = double(5)/double(3) * ( 1. - double(6)/M_PI/M_PI ) ;
omega2 = ggrav * mtot / pow(rr, 3.)
* (1. - compact * ( 2.75 + 2.*a0sr*a0sr * ired
- 0.48*pow(a0sr, 4) * ired*ired )
+ compact*compact * ( 8.625 + 2.75*a0sr*a0sr * ired
+ 2.*pow(a0sr, 4) * ired*ired ) ) ;
}
omega = sqrt( omega2 ) ;
// The derived quantities are obsolete:
del_deriv() ;
}
}
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