vulcan::gravity::point_mass Namespace Reference

Functions
template<typename Scalar>
Vec3< Scalar >	acceleration (const Vec3< Scalar > &r_ecef, double mu=constants::earth::mu)
	Point mass gravitational acceleration.
template<typename Scalar>
Scalar	potential (const Vec3< Scalar > &r_ecef, double mu=constants::earth::mu)
	Point mass gravitational potential.
template<typename Scalar>
Scalar	acceleration_magnitude (const Scalar &r_mag, double mu=constants::earth::mu)
	Gravitational acceleration magnitude at distance r.

Function Documentation

acceleration()

template<typename Scalar>

Vec3< Scalar > vulcan::gravity::point_mass::acceleration	(	const Vec3< Scalar > &	r_ecef,
		double	mu = constants::earth::mu )

Point mass gravitational acceleration.

The simplest gravity model treating Earth as a uniform sphere.

g = -μ/r³ · r_vec

Template Parameters

Scalar

double or casadi::MX

Parameters

r_ecef	Position in ECEF frame [m]
mu	Gravitational parameter [m³/s²] (default: Earth)

Returns

Gravitational acceleration in ECEF [m/s²]

acceleration_magnitude()

template<typename Scalar>

Scalar vulcan::gravity::point_mass::acceleration_magnitude	(	const Scalar &	r_mag,
		double	mu = constants::earth::mu )

Gravitational acceleration magnitude at distance r.

|g| = μ/r²

Convenience function when only magnitude is needed.

Template Parameters

Scalar

double or casadi::MX

Parameters

r_mag	Radial distance from center [m]
mu	Gravitational parameter [m³/s²]

Returns

Acceleration magnitude [m/s²]

potential()

template<typename Scalar>

Scalar vulcan::gravity::point_mass::potential	(	const Vec3< Scalar > &	r_ecef,
		double	mu = constants::earth::mu )

Point mass gravitational potential.

U = -μ/r

Template Parameters

Scalar

double or casadi::MX

Parameters

r_ecef	Position in ECEF frame [m]
mu	Gravitational parameter [m³/s²]

Returns

Gravitational potential [m²/s²]