SMILE
v2.5
Schwarzschild Modelling Interactive expLoratory Environment
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Ferrers density profile (with finite size R and density (1-(r/R)^2)^2). More...
#include <potential.h>
Public Member Functions | |
CPotentialFerrers (double _mass, double _R, double _q, double _p) | |
virtual CPotential * | clone () const |
Return a pointer to a copy of this instance of potential. More... | |
virtual POTENTIALTYPE | PotentialType () const |
enumerable potential type | |
virtual const char * | PotentialName () const |
string representation of potential type | |
virtual SYMMETRYTYPE | symmetry () const |
returns symmetry type of this potential | |
virtual double | Rho (double X, double Y, double Z, double t=0) const |
returns density at given coordinates, this should obviously be overriden in derivative classes | |
virtual double | Phi (double X, double Y, double Z, double t=0) const |
Return potential at a given spatial point (possibly a time-varying one). More... | |
virtual void | Force (const double xyz[N_DIM], const double t, double *force, double *forceDeriv=NULL) const |
Compute forces and, optionally, force derivatives at a given point. More... | |
virtual double | getGamma () const |
returns inner density slope estimate (only used in BSE potential expansion for the automatic selection of shape parameter Alpha) | |
Public Member Functions inherited from smile::CDensity | |
virtual double | Mass (const double r) const |
returns mass inside given radius (approximately! not necessary to integrate density over sphere, just a rough estimate used e.g. in choosing radial nodes of Schwarzschild grid) | |
virtual double | totalMass () const |
returns estimated M(r=infinity) or -1 if mass is infinite | |
double | getRadiusByMass (const double m) const |
solves for Mass(r)=m | |
void | getRadiiByMass (const vectord &masses, vectord *radii) const |
solves for Mass(r)=m for an array of sorted values of m (more efficient than doing it one-by-one) | |
bool | checkMassMonotonic () const |
safety measure: check (roughly) that mass is increasing with radius | |
bool | checkDensityNonzero () const |
another safety measure: check that density doesn't drop to zero along any of three axes (important to assess spherical-harmonic approximation quality) | |
Static Public Member Functions | |
static const char * | myName () |
Private Member Functions | |
void | computeW (double lambda, double W[20]) const |
compute the array of 20 coefficients W_{ijk} listed in Pfenniger(1984), in order of appearance in that paper; More... | |
Private Attributes | |
const double | a |
const double | b |
const double | c |
principal axis of ellipsoidal density | |
const double | mass |
const double | rho0 |
total mass and central density of the model | |
double | W0 [20] |
pre-computed coefficients for lambda=0 | |
Additional Inherited Members | |
Public Types inherited from smile::CDensity | |
enum | POTENTIALTYPE { PT_UNKNOWN, PT_DIRECT, PT_COMPOSITE, PT_COEFS, PT_NB, PT_BSE, PT_BSECOMPACT, PT_SPLINE, PT_CYLSPLINE, PT_LOG, PT_HARMONIC, PT_SCALEFREE, PT_SCALEFREESH, PT_SPHERICAL, PT_DEHNEN, PT_MIYAMOTONAGAI, PT_FERRERS, PT_PLUMMER, PT_ISOCHRONE, PT_PERFECTELLIPSOID, PT_NFW, PT_SERSIC, PT_EXPDISK, PT_ELLIPSOIDAL, PT_MGE } |
list of all existing types of density or density/potential models, each of them implemented in its own class More... | |
enum | SYMMETRYTYPE { ST_NONE = 0, ST_REFLECTION = 1, ST_PLANESYM = 2, ST_ZROTSYM = 4, ST_SPHSYM = 8, ST_TRIAXIAL = ST_REFLECTION | ST_PLANESYM, ST_AXISYMMETRIC = ST_TRIAXIAL | ST_ZROTSYM, ST_SPHERICAL = ST_AXISYMMETRIC | ST_SPHSYM, ST_DEFAULT = ST_TRIAXIAL } |
Type of symmetry. More... | |
Ferrers density profile (with finite size R and density (1-(r/R)^2)^2).
The potential is calculated using expressions from Pfenniger(1984) with elliptic integrals, under assumption that p<q<1 strictly (will not work if any of two axes are equal).
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inlinevirtual |
Return a pointer to a copy of this instance of potential.
A standard copy constructor or assignment is disabled because of different amount of data needed to be copied in different derived classes).
Implements smile::CPotential.
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private |
compute the array of 20 coefficients W_{ijk} listed in Pfenniger(1984), in order of appearance in that paper;
[in] | lambda | is zero inside the model and >0 outside; |
[out] | W | is the array of 20 coefs |
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virtual |
Compute forces and, optionally, force derivatives at a given point.
[in] | xyz | - coordinates of the point to compute forces (array of 3 numbers) |
[in] | t | - time to compute forces (matters only if potential is time-dependent) |
[out] | force | - computed values of -d Phi/d x_i; output array must exist and contain N_DIM values. |
[out] | forceDeriv | - if not NULL, then also compute the second derivatives of potential (which is a symmetric matrix of size N_DIM^2, thus the array must be of size N_DIM*(N_DIM+1)/2 ): first 3 values contain , second three contain mixed derivatives . |
Implements smile::CPotential.
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virtual |
Return potential at a given spatial point (possibly a time-varying one).
Implements smile::CPotential.