LORENE
binary_omegaana.C
1/*
2 * Methods of class Binary to set analytical value to omega
3 *
4 */
5
6/*
7 * Copyright (c) 2004 Francois Limousin
8 *
9 * This file is part of LORENE.
10 *
11 * LORENE is free software; you can redistribute it and/or modify
12 * it under the terms of the GNU General Public License as published by
13 * the Free Software Foundation; either version 2 of the License, or
14 * (at your option) any later version.
15 *
16 * LORENE is distributed in the hope that it will be useful,
17 * but WITHOUT ANY WARRANTY; without even the implied warranty of
18 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19 * GNU General Public License for more details.
20 *
21 * You should have received a copy of the GNU General Public License
22 * along with LORENE; if not, write to the Free Software
23 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
24 *
25 */
26
27
28char binary_omegaana_C[] = "$Header: /cvsroot/Lorene/C++/Source/Binary/binary_omegaana.C,v 1.4 2014/10/13 08:52:45 j_novak Exp $" ;
29
30/*
31 * $Id: binary_omegaana.C,v 1.4 2014/10/13 08:52:45 j_novak Exp $
32 * $Log: binary_omegaana.C,v $
33 * Revision 1.4 2014/10/13 08:52:45 j_novak
34 * Lorene classes and functions now belong to the namespace Lorene.
35 *
36 * Revision 1.3 2004/03/25 10:29:01 j_novak
37 * All LORENE's units are now defined in the namespace Unites (in file unites.h).
38 *
39 * Revision 1.2 2004/01/20 15:21:52 f_limousin
40 * First version
41 *
42 *
43 * $Header: /cvsroot/Lorene/C++/Source/Binary/binary_omegaana.C,v 1.4 2014/10/13 08:52:45 j_novak Exp $
44 *
45 */
46
47// Headers C
48#include "math.h"
49
50// Headers Lorene
51#include "binary.h"
52#include "unites.h"
53
54
55namespace Lorene {
57
58 using namespace Unites ;
59
60 double rr = separation() ;
61 double mtot = star1.mass_g() + star2.mass_g() ;
62
63 // Compacity factor
64 double compact = ggrav * mtot / rr ;
65
66 double omega2 ;
67
68 if ( star1.is_irrotational() ) {
69
70 // Irrotational case
71 // -----------------
72
73 assert( star2.is_irrotational() ) ;
74
75 omega2 = ggrav * mtot / pow(rr, 3)
76 * (1. - 2.75 * compact + 8.625 * compact*compact ) ;
77
78 }
79 else{ // Corotating case
80 // ---------------
81
82 assert( !star2.is_irrotational() ) ;
83
84 // a0/R
85 double a0sr = star1.ray_eq() / rr ;
86
87 // Rescaled moment of inertia 5 I / (2 M a0^2)
88 double ired = double(5)/double(3) * ( 1. - double(6) / M_PI / M_PI ) ;
89 omega2 = ggrav * mtot / pow(rr, 3)
90 * (1. - compact * ( 2.75 + 2.*a0sr*a0sr * ired
91 - 0.48*pow(a0sr, 4) * ired*ired )
92 + compact*compact * ( 8.625 + 2.75*a0sr*a0sr * ired
93 + 2.*pow(a0sr, 4) * ired*ired ) ) ;
94
95 }
96
97 omega = sqrt( omega2 ) ;
98
99 // The derived quantities are obsolete:
100 del_deriv() ;
101
102}
103}
void del_deriv() const
Deletes all the derived quantities.
Definition binary.C:161
double omega
Angular velocity with respect to an asymptotically inertial observer.
Definition binary.h:94
void analytical_omega()
Sets the orbital angular velocity to some 2-PN analytical value (Keplerian value in the Newtonian cas...
Star_bin star2
Second star of the system.
Definition binary.h:83
Star_bin star1
First star of the system.
Definition binary.h:80
double separation() const
Returns the coordinate separation of the two stellar centers [r_unit].
Definition binary.C:604
bool is_irrotational() const
Returns true for an irrotational motion, false for a corotating one.
Definition star.h:773
virtual double mass_g() const
Gravitational mass.
double ray_eq() const
Coordinate radius at , [r_unit].
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.