Flmp Class Reference

Class that computes and stores the normalized inclination functions and its derivatives at a given inclination. More...

#include <Flmp.hpp>

Public Member Functions
	Flmp ()
	Flmp (int l_max, double I, bool compute_derivatives=false)
Flmp &	operator= (const Flmp &other)
	Flmp (const Flmp &other)
	~Flmp ()
int	get_l_max () const
double	get_Flmp (int l, int m, int p) const
double	get_Flmk (int l, int m, int k) const
double	get_dFlmp (int l, int m, int p) const
double	get_dFlmk (int l, int m, int k) const
double	get_Flmk_star (int l, int m, int k) const

Detailed Description

Class that computes and stores the normalized inclination functions and its derivatives at a given inclination.

This class computes the fully-normalized inclination functions and its derivatives applying a real FFdouble to a disturbing potential along a great circle at the associated inclination without approximation (Wagner, 1983). The same procedure can be followed for the derivative of the disturbing potential w.r.t. the inclination in order to compute the derivatives of the inclination function.

Further details on the normalization can also be found in Nlm.hpp

The class enables two different formulations found in literature, both \(\bar{F}_{lmp}\) (e.g. Kaula, 1966) and \(\bar{F}_{lmk}\) with \(k=l-2p\). The latter is more useful for gravity field spectral analysis.

Constructor & Destructor Documentation

Flmp() [1/3]

Flmp::Flmp

(

)

Class default constructor

Flmp() [2/3]

Flmp::Flmp	(	int	l_max,
		double	I,
		bool	compute_derivatives = false
	)

Class constructor

Parameters

l_max	Maximum degree to which the inclination functions (and its derivatives) will be computed
I	Inclination at which the inclination functions (and its derivatives) are evaluated
compute_derivatives	Flag to determine whether inclination functions derivatives shall be computed or not

Flmp() [3/3]

Flmp::Flmp

(

const Flmp &

other

)

Copy constructor

~Flmp()

Flmp::~Flmp

(

)

Destructor

Member Function Documentation

get_dFlmk()

double Flmp::get_dFlmk	(	int	l,
		int	m,
		int	k
	)		const

Inclination function derivative getter for l,m,k set

Parameters

l	Degree
m	Order
k	k-index

Returns

\(\bar{F}_{lmk}\)

get_dFlmp()

double Flmp::get_dFlmp	(	int	l,
		int	m,
		int	p
	)		const

Inclination function derivative getter for l,m,p set

Parameters

l	Degree
m	Order
p	k-index

Returns

\(\bar{F}_{lmp}\)

get_Flmk()

double Flmp::get_Flmk	(	int	l,
		int	m,
		int	k
	)		const

Inclination function getter for l,m,k set

Parameters

l	Degree
m	Order
k	k-index

Returns

\(\bar{F}_{lmk}\)

get_Flmk_star()

double Flmp::get_Flmk_star	(	int	l,
		int	m,
		int	k
	)		const

Cross-track inclination function derivative getter for l,m,k set

Parameters

l	Degree
m	Order
k	k-index

Returns

\(\bar{F}_{lmk}\)

get_Flmp()

double Flmp::get_Flmp	(	int	l,
		int	m,
		int	p
	)		const

Inclination function getter for l,m,p set

Parameters

l	Degree
m	Order
p	p-index

Returns

\(\bar{F}_{lmp}\)

get_l_max()

int Flmp::get_l_max

(

)

const

Getter for maximum degree computed

operator=()

Flmp & Flmp::operator=

(

const Flmp &

other

)

Copy assignment operator

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The documentation for this class was generated from the following files:

• Flmp.hpp
• Flmp.cpp