kepler.hpp File Reference

Declarations for the utilities related to the Kepler problem. More...

Declarations for the utilities related to the Kepler problem.

Author

Jared R. Males

Definition in file kepler.hpp.

#include <iostream>
#include <cmath>
#include <cstdlib>
#include "units.hpp"

Go to the source code of this file.

Namespaces
namespace	mx
	The mxlib c++ namespace.

Macros
#define	KEPLER_TOL   ( 1e-8 )
	The default tolerance for solutions to the Kepler problem.
#define	KEPLER_ITMAX   ( 1000 )
	The default maximum number of iterations for solutions to the Kepler problem.

Functions
template<typename realT >
long	mx::astro::hyperbolic_kepler (realT &E, realT &err, realT e, realT M, realT tol, long itmax)
	Solve the hyperbolic kepler equation (for e> 1).
template<typename realT >
realT	mx::astro::kepler_danby_1 (realT e, realT M, realT Ei)
	Calculate the next iteration of Danby's quartic Newton-Raphson method.
template<typename realT >
long	mx::astro::solve_kepler_danby (realT &E, realT &D, realT e, realT M, realT tol, long itmax)
	Solve Kepler's equation using Danby's quartic Newton-Raphson method.
template<typename realT >
long	mx::astro::solve_kepler (realT &E, realT &D, realT e, realT M, realT tol=KEPLER_TOL, long itmax=KEPLER_ITMAX)
	Solve Kepler's equation for any e. Uses solve_kepler_danby if e < 1.0, hyperbolic_kepler otherwise.

Macro Definition Documentation

KEPLER_ITMAX

#define KEPLER_ITMAX   ( 1000 )

The default maximum number of iterations for solutions to the Kepler problem.

Definition at line 30 of file kepler.hpp.

KEPLER_TOL

#define KEPLER_TOL   ( 1e-8 )

The default tolerance for solutions to the Kepler problem.

Definition at line 25 of file kepler.hpp.