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    SMILE
    v2.5
    
   Schwarzschild Modelling Interactive expLoratory Environment 
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Miyamoto-Nagai axisymmetric potential; equivalent to Plummer if A=0. More...
#include <potential.h>


Public Member Functions | |
| CPotentialMiyamotoNagai (double _mass, double _A, double _B) | |
| 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... | |
  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)  | |
| virtual double | getGamma () const | 
| returns inner density slope estimate (only used in BSE potential expansion for the automatic selection of shape parameter Alpha)  | |
Static Public Member Functions | |
| static const char * | myName () | 
Private Attributes | |
| const double | mass | 
| total mass of the model  | |
| const double | A | 
| const double | B | 
| two shape parameters of Miyamoto-Nagai disk; if A=0 then B is the scale radius of a Plummer sphere  | |
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... | |
Miyamoto-Nagai axisymmetric potential; equivalent to Plummer if A=0.
      
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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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  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.
 1.8.8