LORENE
bin_ns_bh_omegaana.C
1/*
2 * Methods of class Bin_ns_bh to set analytical value to omega
3 *
4 * (see file bin_ns_bh.h for documentation).
5 *
6 */
7
8/*
9 * Copyright (c) 2004 Keisuke Taniguchi
10 *
11 * This file is part of LORENE.
12 *
13 * LORENE is free software; you can redistribute it and/or modify
14 * it under the terms of the GNU General Public License version 2
15 * as published by the Free Software Foundation.
16 *
17 * LORENE is distributed in the hope that it will be useful,
18 * but WITHOUT ANY WARRANTY; without even the implied warranty of
19 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
20 * GNU General Public License for more details.
21 *
22 * You should have received a copy of the GNU General Public License
23 * along with LORENE; if not, write to the Free Software
24 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
25 *
26 */
27
28char bin_ns_bh_omegaana_C[] = "$Header: /cvsroot/Lorene/C++/Source/Bin_ns_bh/bin_ns_bh_omegaana.C,v 1.4 2014/10/13 08:52:43 j_novak Exp $" ;
29
30/*
31 * $Id: bin_ns_bh_omegaana.C,v 1.4 2014/10/13 08:52:43 j_novak Exp $
32 * $Log: bin_ns_bh_omegaana.C,v $
33 * Revision 1.4 2014/10/13 08:52:43 j_novak
34 * Lorene classes and functions now belong to the namespace Lorene.
35 *
36 * Revision 1.3 2014/10/06 15:13:01 j_novak
37 * Modified #include directives to use c++ syntax.
38 *
39 * Revision 1.2 2005/11/30 11:09:06 p_grandclement
40 * Changes for the Bin_ns_bh project
41 *
42 * Revision 1.1 2004/06/09 06:27:40 k_taniguchi
43 * First revision.
44 *
45 *
46 * $Header: /cvsroot/Lorene/C++/Source/Bin_ns_bh/bin_ns_bh_omegaana.C,v 1.4 2014/10/13 08:52:43 j_novak Exp $
47 *
48 */
49
50// C headers
51#include <cmath>
52
53// Lorene headers
54#include "bin_ns_bh.h"
55#include "unites.h"
56
57namespace Lorene {
59
60 // NS-BH binary systems should be relativistic
61 // -------------------------------------------
62 if ( !star.is_relativistic() ) {
63 abort() ;
64 }
65
66 using namespace Unites ;
67
68 double rr = separation() ;
69 double mtot = star.mass_g() + hole.masse_adm_seul() / ggrav ;
70
71 // Compaction factor
72 double compact = ggrav * mtot / rr ;
73
74 double omega2 ;
75
76 if ( star.is_irrotational() ) {
77
78 // Irrotational case
79 // -----------------
80
81 omega2 = ggrav * mtot / pow(rr, 3.)
82 * (1. - 2.75 * compact + 8.625 * compact*compact ) ;
83
84 }
85 else {
86 // Corotating case
87 // ---------------
88
89 // a0/R
90 double a0sr = star.ray_eq() / rr ;
91
92 // Rescaled moment of inertia 5 I / (2 M a0^2)
93 double ired = double(5)/double(3) * ( 1. - double(6)/M_PI/M_PI ) ;
94 omega2 = ggrav * mtot / pow(rr, 3.)
95 * (1. - compact * ( 2.75 + 2.*a0sr*a0sr * ired
96 - 0.48*pow(a0sr, 4) * ired*ired )
97 + compact*compact * ( 8.625 + 2.75*a0sr*a0sr * ired
98 + 2.*pow(a0sr, 4) * ired*ired ) ) ;
99
100 }
101
102 set_omega (sqrt( omega2 )) ;
103
104 // The derived quantities are obsolete:
105 del_deriv() ;
106
107}
108}
double masse_adm_seul() const
Calculates the ADM mass of the black hole using : .
void set_omega(double)
Sets the orbital angular velocity [{\tt f_unit}].
Definition bin_ns_bh.C:218
Et_bin_nsbh star
The neutron star.
Definition bin_ns_bh.h:128
Bhole hole
The black hole.
Definition bin_ns_bh.h:131
void analytical_omega()
Sets the orbital angular velocity of the neutron star to some 2-PN analytical value.
double separation() const
Return the separation.
Definition bin_ns_bh.C:235
void del_deriv() const
Destructor.
Definition bin_ns_bh.C:163
bool is_irrotational() const
Returns true for an irrotational motion, false for a corotating one.
Definition etoile.h:1092
virtual double mass_g() const
Gravitational mass.
double ray_eq() const
Coordinate radius at , [r_unit].
bool is_relativistic() const
Returns true for a relativistic star, false for a Newtonian one.
Definition etoile.h:667
Cmp sqrt(const Cmp &)
Square root.
Definition cmp_math.C:220
Cmp pow(const Cmp &, int)
Power .
Definition cmp_math.C:348
Lorene prototypes.
Definition app_hor.h:64
Standard units of space, time and mass.