vulcan::orbital::transfer Namespace Reference

Functions
template<typename Scalar>
std::pair< Scalar, Scalar >	hohmann_delta_v (const Scalar &r1, const Scalar &r2, double mu=constants::earth::mu)
	Hohmann transfer delta-v.
template<typename Scalar>
Scalar	hohmann_total_delta_v (const Scalar &r1, const Scalar &r2, double mu=constants::earth::mu)
	Total Hohmann transfer delta-v.
template<typename Scalar>
Scalar	hohmann_transfer_time (const Scalar &r1, const Scalar &r2, double mu=constants::earth::mu)
	Hohmann transfer time.
template<typename Scalar>
std::tuple< Scalar, Scalar, Scalar >	bielliptic_delta_v (const Scalar &r1, const Scalar &r2, const Scalar &r_b, double mu=constants::earth::mu)
	Bielliptic transfer delta-v.
template<typename Scalar>
Scalar	plane_change_delta_v (const Scalar &v, const Scalar &delta_i)
	Simple plane change delta-v.
template<typename Scalar>
Scalar	combined_maneuver_delta_v (const Scalar &v1, const Scalar &v2, const Scalar &delta_i)
	Combined plane change and altitude change.

Function Documentation

bielliptic_delta_v()

template<typename Scalar>

std::tuple< Scalar, Scalar, Scalar > vulcan::orbital::transfer::bielliptic_delta_v	(	const Scalar &	r1,
		const Scalar &	r2,
		const Scalar &	r_b,
		double	mu = constants::earth::mu )

Bielliptic transfer delta-v.

Three-impulse transfer that can be more efficient than Hohmann for large radius ratios (r2/r1 > 11.94).

Template Parameters

Scalar

double or casadi::MX

Parameters

r1	Initial orbit radius [m]
r2	Final orbit radius [m]
r_b	Intermediate apoapsis radius [m] (should be > max(r1, r2))
mu	Gravitational parameter [m³/s²] (default: Earth)

Returns

Tuple of (dv1, dv2, dv3) [m/s]

combined_maneuver_delta_v()

template<typename Scalar>

Scalar vulcan::orbital::transfer::combined_maneuver_delta_v	(	const Scalar &	v1,
		const Scalar &	v2,
		const Scalar &	delta_i )

Combined plane change and altitude change.

For a single-impulse maneuver that changes both plane and altitude.

Template Parameters

Scalar

double or casadi::MX

Parameters

v1	Initial velocity magnitude [m/s]
v2	Final velocity magnitude [m/s]
delta_i	Inclination change [rad]

Returns

Delta-v required [m/s]

hohmann_delta_v()

template<typename Scalar>

std::pair< Scalar, Scalar > vulcan::orbital::transfer::hohmann_delta_v	(	const Scalar &	r1,
		const Scalar &	r2,
		double	mu = constants::earth::mu )

Hohmann transfer delta-v.

Computes the delta-v required for a two-impulse Hohmann transfer between coplanar circular orbits.

Template Parameters

Scalar

double or casadi::MX

Parameters

r1	Initial orbit radius [m]
r2	Final orbit radius [m]
mu	Gravitational parameter [m³/s²] (default: Earth)

Returns

Pair of (dv1, dv2) at periapsis and apoapsis [m/s]

hohmann_total_delta_v()

template<typename Scalar>

Scalar vulcan::orbital::transfer::hohmann_total_delta_v	(	const Scalar &	r1,
		const Scalar &	r2,
		double	mu = constants::earth::mu )

Total Hohmann transfer delta-v.

Template Parameters

Scalar

double or casadi::MX

Parameters

r1	Initial orbit radius [m]
r2	Final orbit radius [m]
mu	Gravitational parameter [m³/s²] (default: Earth)

Returns

Total delta-v [m/s]

hohmann_transfer_time()

template<typename Scalar>

Scalar vulcan::orbital::transfer::hohmann_transfer_time	(	const Scalar &	r1,
		const Scalar &	r2,
		double	mu = constants::earth::mu )

Hohmann transfer time.

Template Parameters

Scalar

double or casadi::MX

Parameters

r1	Initial orbit radius [m]
r2	Final orbit radius [m]
mu	Gravitational parameter [m³/s²] (default: Earth)

Returns

Transfer time (half period) [s]

plane_change_delta_v()

template<typename Scalar>

Scalar vulcan::orbital::transfer::plane_change_delta_v	(	const Scalar &	v,
		const Scalar &	delta_i )

Simple plane change delta-v.

Delta-v for a pure inclination change at constant altitude. Most efficient at apoapsis where velocity is lowest.

Template Parameters

Scalar

double or casadi::MX

Parameters

v	Orbital velocity magnitude [m/s]
delta_i	Inclination change [rad]

Returns

Delta-v required [m/s]