LORENE
binaire_omega_ana.C
1/*
2 * Methods of class Binaire to set analytical value to omega
3 *
4 */
5
6/*
7 * Copyright (c) 2000-2001 Eric Gourgoulhon
8 * Copyright (c) 2000-2001 Keisuke Taniguchi
9 *
10 * This file is part of LORENE.
11 *
12 * LORENE is free software; you can redistribute it and/or modify
13 * it under the terms of the GNU General Public License as published by
14 * the Free Software Foundation; either version 2 of the License, or
15 * (at your option) any later version.
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
28
29char binaire_omega_ana_C[] = "$Header: /cvsroot/Lorene/C++/Source/Binaire/binaire_omega_ana.C,v 1.3 2014/10/13 08:52:44 j_novak Exp $" ;
30
31/*
32 * $Id: binaire_omega_ana.C,v 1.3 2014/10/13 08:52:44 j_novak Exp $
33 * $Log: binaire_omega_ana.C,v $
34 * Revision 1.3 2014/10/13 08:52:44 j_novak
35 * Lorene classes and functions now belong to the namespace Lorene.
36 *
37 * Revision 1.2 2004/03/25 10:28:59 j_novak
38 * All LORENE's units are now defined in the namespace Unites (in file unites.h).
39 *
40 * Revision 1.1.1.1 2001/11/20 15:19:30 e_gourgoulhon
41 * LORENE
42 *
43 * Revision 2.1 2000/03/17 15:53:28 eric
44 * *** empty log message ***
45 *
46 * Revision 2.0 2000/03/17 15:27:41 eric
47 * *** empty log message ***
48 *
49 *
50 * $Header: /cvsroot/Lorene/C++/Source/Binaire/binaire_omega_ana.C,v 1.3 2014/10/13 08:52:44 j_novak Exp $
51 *
52 */
53
54// Headers C
55#include "math.h"
56
57// Headers Lorene
58#include "binaire.h"
59#include "unites.h"
60
61
62namespace Lorene {
64
65 using namespace Unites ;
66
67 double rr = separation() ;
68 double mtot = star1.mass_g() + star2.mass_g() ;
69
70 // Compacity factor
71 double compact = ggrav * mtot / rr ;
72
73 // The compacity factor is set to zero in the Newtonian case
74 if ( !star1.is_relativistic() ) {
75 assert( !star2.is_relativistic() ) ;
76 compact = 0 ;
77 }
78
79
80 double omega2 ;
81
82 if ( star1.is_irrotational() ) {
83
84 // Irrotational case
85 // -----------------
86
87 assert( star2.is_irrotational() ) ;
88
89 omega2 = ggrav * mtot / pow(rr, 3)
90 * (1. - 2.75 * compact + 8.625 * compact*compact ) ;
91
92 }
93 else{ // Corotating case
94 // ---------------
95
96 assert( !star2.is_irrotational() ) ;
97
98 // a0/R
99 double a0sr = star1.ray_eq() / rr ;
100
101 // Rescaled moment of inertia 5 I / (2 M a0^2)
102 double ired = double(5)/double(3) * ( 1. - double(6) / M_PI / M_PI ) ;
103 omega2 = ggrav * mtot / pow(rr, 3)
104 * (1. - compact * ( 2.75 + 2.*a0sr*a0sr * ired
105 - 0.48*pow(a0sr, 4) * ired*ired )
106 + compact*compact * ( 8.625 + 2.75*a0sr*a0sr * ired
107 + 2.*pow(a0sr, 4) * ired*ired ) ) ;
108
109 }
110
111 omega = sqrt( omega2 ) ;
112
113 // The derived quantities are obsolete:
114 del_deriv() ;
115
116}
117}
void analytical_omega()
Sets the orbital angular velocity to some 2-PN analytical value (Keplerian value in the Newtonian cas...
double separation() const
Returns the coordinate separation of the two stellar centers [{\tt r_unit}].
Definition binaire.C:457
void del_deriv() const
Destructor.
Definition binaire.C:177
Etoile_bin star2
Second star of the system.
Definition binaire.h:118
double omega
Angular velocity with respect to an asymptotically inertial observer.
Definition binaire.h:129
Etoile_bin star1
First star of the system.
Definition binaire.h:115
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.