physics::orbit::frame::bci Namespace Reference

Body-centered inertial (BCI) frame. More...

Functions
template<class T >
math::vec3< T >	cartesian (const math::vec3< T > &v)
	Converts BCI coordinates from spherical to Cartesian. More...
template<class T >
math::vec3< T >	spherical (const math::vec3< T > &v)
	Converts BCI coordinates from Cartesian to spherical. More...
template<typename T >
math::se3< T >	to_bcbf (T ra, T dec, T w)
	Constructs an SE(3) transformation from a BCI frame to a BCBF frame. More...
template<typename T >
math::se3< T >	to_pqw (T om, T in, T w)
	Constructs an SE(3) transformation from a BCI frame to a PQW frame. More...

Detailed Description

Body-centered inertial (BCI) frame.

Function Documentation

cartesian()

template<class T >

math::vec3<T> physics::orbit::frame::bci::cartesian

(

const math::vec3< T > &

v

)

Converts BCI coordinates from spherical to Cartesian.

Parameters

v	BCI spherical coordinates, in the ISO order of radial distance, declination (radians), and right ascension (radians).

Returns

BCI Cartesian coordinates.

Definition at line 170 of file frame.hpp.

spherical()

template<class T >

math::vec3<T> physics::orbit::frame::bci::spherical

(

const math::vec3< T > &

v

)

Converts BCI coordinates from Cartesian to spherical.

Parameters

v	BCI Cartesian coordinates.

Returns

BCI spherical coordinates, in the ISO order of radial distance, declination (radians), and right ascension (radians).

Definition at line 189 of file frame.hpp.

to_bcbf()

template<typename T >

math::se3<T> physics::orbit::frame::bci::to_bcbf	(	T	ra,
		T	dec,
		T	w
	)

Constructs an SE(3) transformation from a BCI frame to a BCBF frame.

Parameters

ra	Right ascension of the north pole, in radians.
dec	Declination of the north pole, in radians.
w	Location of the prime meridian, as a rotation about the north pole, in radians.

Returns

BCI to BCBF transformation.

See also

Archinal, B.A., A’Hearn, M.F., Bowell, E. et al. Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2009. Celest Mech Dyn Astr 109, 101–135 (2011). https://doi.org/10.1007/s10569-010-9320-4

Definition at line 213 of file frame.hpp.

to_pqw()

template<typename T >

math::se3<T> physics::orbit::frame::bci::to_pqw	(	T	om,
		T	in,
		T	w
	)

Constructs an SE(3) transformation from a BCI frame to a PQW frame.

Parameters

om	Right ascension of the ascending node (OMEGA), in radians.
in	Orbital inclination (i), in radians.
w	Argument of periapsis (omega), in radians.

Returns

BCI to PQW transformation.

Definition at line 234 of file frame.hpp.