physics::orbit::anomaly Namespace Reference

Orbital anomaly functions. More...

Functions
template<class T >
T	true_to_eccentric (T ec, T ta)
	Derives the eccentric anomaly given eccentricity and true anomaly. More...
template<class T >
T	true_to_mean (T ec, T ta)
	Derives the mean anomaly given eccentricity and true anomaly. More...
template<class T >
T	eccentric_to_true (T ec, T ea)
	Derives the true anomaly given eccentricity and eccentric anomaly. More...
template<class T >
T	eccentric_to_mean (T ec, T ea)
	Derives the mean anomaly given eccentricity and eccentric anomaly. More...
template<class T >
T	mean_to_eccentric (T ec, T ma, std::size_t iterations, T tolerance)
	Iteratively derives the eccentric anomaly given eccentricity and mean anomaly. More...
template<class T >
T	mean_to_true (T ec, T ma, std::size_t iterations, T tolerance)
	Iteratively derives the true anomaly given eccentricity and mean anomaly. More...

Detailed Description

Orbital anomaly functions.

Function Documentation

eccentric_to_mean()

template<class T >

T physics::orbit::anomaly::eccentric_to_mean	(	T	ec,
		T	ea
	)

Derives the mean anomaly given eccentricity and eccentric anomaly.

Parameters

ec	Eccentricity (e).
ea	Eccentric anomaly (E).

Returns

Mean anomaly (M).

Definition at line 137 of file anomaly.hpp.

eccentric_to_true()

template<class T >

T physics::orbit::anomaly::eccentric_to_true	(	T	ec,
		T	ea
	)

Derives the true anomaly given eccentricity and eccentric anomaly.

Parameters

ec	Eccentricity (e).
ea	Eccentric anomaly (E).

Returns

True anomaly (nu).

Definition at line 122 of file anomaly.hpp.

mean_to_eccentric()

template<class T >

T physics::orbit::anomaly::mean_to_eccentric	(	T	ec,
		T	ma,
		std::size_t	iterations,
		T	tolerance
	)

Iteratively derives the eccentric anomaly given eccentricity and mean anomaly.

Parameters

ec	Eccentricity (e).
ma	Mean anomaly (M).
iterations	Maximum number of iterations.
tolerance	Solution error tolerance.

Returns

Eccentric anomaly (E).

See also

Murison, Marc. (2006). A Practical Method for Solving the Kepler Equation. 10.13140/2.1.5019.6808.

Definition at line 152 of file anomaly.hpp.

mean_to_true()

template<class T >

T physics::orbit::anomaly::mean_to_true	(	T	ec,
		T	ma,
		std::size_t	iterations,
		T	tolerance
	)

Iteratively derives the true anomaly given eccentricity and mean anomaly.

Parameters

ec	Eccentricity (e).
ma	Mean anomaly (M).
iterations	Maximum number of iterations.
tolerance	Solution error tolerance.

Returns

True anomaly (nu).

Definition at line 190 of file anomaly.hpp.

true_to_eccentric()

template<class T >

T physics::orbit::anomaly::true_to_eccentric	(	T	ec,
		T	ta
	)

Derives the eccentric anomaly given eccentricity and true anomaly.

Parameters

ec	Eccentricity (e).
ta	True anomaly (nu).

Returns

Eccentric anomaly (E).

Definition at line 101 of file anomaly.hpp.

true_to_mean()

template<class T >

T physics::orbit::anomaly::true_to_mean	(	T	ec,
		T	ta
	)

Derives the mean anomaly given eccentricity and true anomaly.

Parameters

ec	Eccentricity (e).
ta	True anomaly (nu).

Returns

Mean anomaly (M).

Definition at line 116 of file anomaly.hpp.