vulcan::ussa1976 Namespace Reference

Namespaces
namespace	detail

Classes
struct	AtmosphericState
	Complete atmospheric state at a given altitude. More...

Functions
template<typename Scalar>
Scalar	temperature (const Scalar &altitude)
	US Standard Atmosphere 1976 - Temperature (table-based).
template<typename Scalar>
Scalar	pressure (const Scalar &altitude)
	US Standard Atmosphere 1976 - Pressure (table-based).
template<typename Scalar>
Scalar	density (const Scalar &altitude)
	US Standard Atmosphere 1976 - Density (table-based).
template<typename Scalar>
Scalar	speed_of_sound (const Scalar &altitude)
	US Standard Atmosphere 1976 - Speed of Sound (table-based).
template<typename Scalar>
Scalar	gravity (const Scalar &altitude)
	US Standard Atmosphere 1976 - Gravitational Acceleration (table-based).
template<typename Scalar>
Scalar	dynamic_viscosity (const Scalar &altitude)
	US Standard Atmosphere 1976 - Dynamic Viscosity.
template<typename Scalar>
AtmosphericState< Scalar >	state (const Scalar &altitude)
	US Standard Atmosphere 1976 - Complete atmospheric state.

Variables
constexpr double	MIN_ALTITUDE = -500.0
	Minimum supported altitude [m].
constexpr double	MAX_ALTITUDE = 1000000.0
	Maximum supported altitude [m].
constexpr double	SUTHERLAND_BETA = 1.458e-6
	kg/(s·m·K^0.5)
constexpr double	SUTHERLAND_S = 110.4
	K.

Function Documentation

density()

template<typename Scalar>

Scalar vulcan::ussa1976::density

(

const Scalar &

altitude

)

US Standard Atmosphere 1976 - Density (table-based).

Template Parameters

Scalar

double or casadi::MX for symbolic computation

Parameters

altitude

Geometric altitude [m]

Returns

Density [kg/m³]

dynamic_viscosity()

template<typename Scalar>

Scalar vulcan::ussa1976::dynamic_viscosity

(

const Scalar &

altitude

)

US Standard Atmosphere 1976 - Dynamic Viscosity.

Computed using Sutherland's formula: μ = β·T^(3/2) / (T + S) Valid for all altitudes where temperature is defined.

Template Parameters

Scalar

double or casadi::MX for symbolic computation

Parameters

altitude

Geometric altitude [m]

Returns

Dynamic viscosity [Pa·s]

gravity()

template<typename Scalar>

Scalar vulcan::ussa1976::gravity

(

const Scalar &

altitude

)

US Standard Atmosphere 1976 - Gravitational Acceleration (table-based).

Effective gravity at altitude, accounting for altitude variation.

Template Parameters

Scalar

double or casadi::MX for symbolic computation

Parameters

altitude

Geometric altitude [m]

Returns

Gravitational acceleration [m/s²]

pressure()

template<typename Scalar>

Scalar vulcan::ussa1976::pressure

(

const Scalar &

altitude

)

US Standard Atmosphere 1976 - Pressure (table-based).

Template Parameters

Scalar

double or casadi::MX for symbolic computation

Parameters

altitude

Geometric altitude [m]

Returns

Pressure [Pa]

speed_of_sound()

template<typename Scalar>

Scalar vulcan::ussa1976::speed_of_sound

(

const Scalar &

altitude

)

US Standard Atmosphere 1976 - Speed of Sound (table-based).

Template Parameters

Scalar

double or casadi::MX for symbolic computation

Parameters

altitude

Geometric altitude [m]

Returns

Speed of sound [m/s]

state()

template<typename Scalar>

AtmosphericState< Scalar > vulcan::ussa1976::state

(

const Scalar &

altitude

)

US Standard Atmosphere 1976 - Complete atmospheric state.

Returns all atmospheric properties in a single evaluation. Efficient for trajectory optimization where multiple properties are needed.

Template Parameters

Scalar

double or casadi::MX for symbolic computation

Parameters

altitude

Geometric altitude [m]

Returns

AtmosphericState containing T, P, ρ, a, g

temperature()

template<typename Scalar>

Scalar vulcan::ussa1976::temperature

(

const Scalar &

altitude

)

US Standard Atmosphere 1976 - Temperature (table-based).

Interpolated from vetted reference data covering -500m to 1000km. Values outside this range are clamped to boundary values.

Template Parameters

Scalar

double or casadi::MX for symbolic computation

Parameters

altitude

Geometric altitude [m]

Returns

Temperature [K]

Variable Documentation

MAX_ALTITUDE

double vulcan::ussa1976::MAX_ALTITUDE = 1000000.0

inlineconstexpr

Maximum supported altitude [m].

MIN_ALTITUDE

double vulcan::ussa1976::MIN_ALTITUDE = -500.0

inlineconstexpr

Minimum supported altitude [m].

SUTHERLAND_BETA

double vulcan::ussa1976::SUTHERLAND_BETA = 1.458e-6

inlineconstexpr

kg/(s·m·K^0.5)

SUTHERLAND_S

double vulcan::ussa1976::SUTHERLAND_S = 110.4

inlineconstexpr

K.