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Orbit2D

Struct Orbit2D 

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pub struct Orbit2D { /* private fields */ }
Expand description

A struct representing a 2D Keplerian orbit with some cached values.

This struct consumes significantly more memory because of the cache. However, this will slightly speed up orbital calculations. If memory efficiency is your goal, you may consider using the CompactOrbit2D struct instead.

§Example

use keplerian_sim::{Orbit2D, OrbitTrait2D};

let orbit = Orbit2D::new(
    // Initialize using eccentricity, periapsis,
    // argument of periapsis, mean anomaly at epoch,
    // and gravitational parameter

    // Eccentricity
    0.0,

    // Periapsis
    1.0,

    // Argument of periapsis
    0.0,

    // Mean anomaly at epoch
    0.0,

    // Gravitational parameter of the parent body
    1.0,
);

let orbit = Orbit2D::with_apoapsis(
    // Initialize using apoapsis in place of eccentricity
     
    // Apoapsis
    2.0,

    // Periapsis
    1.0,

    // Argument of periapsis
    0.0,

    // Mean anomaly at epoch
    0.0,

    // Gravitational parameter of the parent body
    1.0,
);

See Orbit2D::new and Orbit2D::with_apoapsis for more information.

Implementations§

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impl Orbit2D

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pub fn new( eccentricity: f64, periapsis: f64, arg_pe: f64, mean_anomaly: f64, mu: f64, ) -> Self

Creates a new orbit with the given parameters.

Note: This function uses eccentricity instead of periapsis.
If you want to provide an apoapsis instead, consider using the Orbit2D::with_apoapsis function instead.

§Parameters
  • eccentricity: The eccentricity of the orbit.
  • periapsis: The periapsis of the orbit, in meters.
  • arg_pe: The argument of periapsis of the orbit, in radians.
  • mean_anomaly: The mean anomaly of the orbit at epoch, in radians.
  • mu: The gravitational parameter of the parent body, in m^3 s^-2.
§Example
use keplerian_sim::{Orbit2D, OrbitTrait2D};

let eccentricity = 0.2;
let periapsis = 2.8;
let argument_of_periapsis = 0.7;
let mean_anomaly_at_epoch = 2.9;
let gravitational_parameter = 9.2;

let orbit = Orbit2D::new(
    eccentricity,
    periapsis,
    argument_of_periapsis,
    mean_anomaly_at_epoch,
    gravitational_parameter
);

assert_eq!(orbit.get_eccentricity(), eccentricity);
assert_eq!(orbit.get_periapsis(), periapsis);
assert_eq!(orbit.get_arg_pe(), argument_of_periapsis);
assert_eq!(orbit.get_mean_anomaly_at_epoch(), mean_anomaly_at_epoch);
assert_eq!(orbit.get_gravitational_parameter(), gravitational_parameter);
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pub fn with_apoapsis( apoapsis: f64, periapsis: f64, arg_pe: f64, mean_anomaly: f64, mu: f64, ) -> Self

Creates a new orbit with the given parameters.

Note: This function uses apoapsis instead of eccentricity.
Because of this, it’s not recommended to initialize parabolic or hyperbolic ‘orbits’ with this function.
If you’re looking to initialize a parabolic or hyperbolic trajectory, consider using the Orbit2D::new function instead.

§Parameters
  • apoapsis: The apoapsis of the orbit, in meters.
  • periapsis: The periapsis of the orbit, in meters.
  • arg_pe: The argument of periapsis of the orbit, in radians.
  • mean_anomaly: The mean anomaly of the orbit at epoch, in radians.
  • mu: The gravitational parameter of the parent body, in m^3 s^-2.
§Example
use keplerian_sim::{Orbit2D, OrbitTrait2D};

let apoapsis = 4.1;
let periapsis = 2.8;
let argument_of_periapsis = 0.7;
let mean_anomaly_at_epoch = 2.9;
let gravitational_parameter = 9.2;

let orbit = Orbit2D::with_apoapsis(
    apoapsis,
    periapsis,
    argument_of_periapsis,
    mean_anomaly_at_epoch,
    gravitational_parameter
);

let eccentricity = (apoapsis - periapsis) / (apoapsis + periapsis);

assert_eq!(orbit.get_eccentricity(), eccentricity);
assert_eq!(orbit.get_periapsis(), periapsis);
assert_eq!(orbit.get_arg_pe(), argument_of_periapsis);
assert_eq!(orbit.get_mean_anomaly_at_epoch(), mean_anomaly_at_epoch);
assert_eq!(orbit.get_gravitational_parameter(), gravitational_parameter);
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pub fn new_circular(radius: f64, mean_anomaly: f64, mu: f64) -> Self

Creates a new circular Orbit2D instance with the given parameters.

§Parameters
  • radius: The radius of the orbit, in meters.
  • arg_pe: The argument of periapsis of the orbit, in radians.
  • mean_anomaly: The mean anomaly of the orbit at epoch, in radians.
  • mu: The gravitational parameter of the parent body, in m^3 s^-2.
§Example
use keplerian_sim::{Orbit2D, OrbitTrait2D};

let radius = 4.2;
let mean_anomaly_at_epoch = 1.5;
let gravitational_parameter = 5.0;

let orbit = Orbit2D::new_circular(
    radius,
    mean_anomaly_at_epoch,
    gravitational_parameter,
);

assert_eq!(orbit.get_eccentricity(), 0.0);
assert_eq!(orbit.get_periapsis(), radius);
assert_eq!(orbit.get_arg_pe(), 0.0);
assert_eq!(orbit.get_mean_anomaly_at_epoch(), mean_anomaly_at_epoch);
assert_eq!(orbit.get_gravitational_parameter(), gravitational_parameter);

Trait Implementations§

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impl Clone for Orbit2D

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fn clone(&self) -> Orbit2D

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for Orbit2D

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl Default for Orbit2D

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fn default() -> Self

Creates a unit orbit.

The unit orbit is a perfect circle of radius 1 and zero mean anomaly at epoch.

It also uses a gravitational parameter of 1.

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impl From<CompactOrbit2D> for Orbit2D

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fn from(compact: CompactOrbit2D) -> Self

Converts to this type from the input type.
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impl From<Orbit2D> for CompactOrbit2D

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fn from(cached: Orbit2D) -> Self

Converts to this type from the input type.
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impl OrbitTrait2D for Orbit2D

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fn set_apoapsis(&mut self, apoapsis: f64) -> Result<(), ApoapsisSetterError>

Sets the apoapsis of the orbit.\ Read more
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fn set_apoapsis_force(&mut self, apoapsis: f64)

Sets the apoapsis of the orbit, with a best-effort attempt at interpreting possibly-invalid values.
This function will not error, but may have undesirable behavior: Read more
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fn get_transformation_matrix(&self) -> DMat2

Gets the transformation matrix needed to tilt a 2D vector into the tilted orbital plane. Read more
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fn get_pqw_basis_vector_p(&self) -> DVec2

Gets the p basis vector for the perifocal coordinate (PQW) system. Read more
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fn get_pqw_basis_vector_q(&self) -> DVec2

Gets the q basis vector for the perifocal coordinate (PQW) system. Read more
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fn get_eccentricity(&self) -> f64

Gets the eccentricity of the orbit. Read more
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fn get_periapsis(&self) -> f64

Gets the periapsis of the orbit. Read more
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fn get_arg_pe(&self) -> f64

Gets the argument of periapsis of the orbit in radians. Read more
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fn get_mean_anomaly_at_epoch(&self) -> f64

Gets the mean anomaly of the orbit at a certain epoch. Read more
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fn get_gravitational_parameter(&self) -> f64

Gets the gravitational parameter of the parent body. Read more
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fn set_eccentricity(&mut self, value: f64)

Sets the eccentricity of the orbit. Read more
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fn set_periapsis(&mut self, value: f64)

Sets the periapsis of the orbit. Read more
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fn set_arg_pe(&mut self, value: f64)

Sets the argument of periapsis of the orbit in radians. Read more
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fn set_mean_anomaly_at_epoch(&mut self, value: f64)

Sets the mean anomaly of the orbit at a certain epoch. Read more
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fn set_gravitational_parameter( &mut self, gravitational_parameter: f64, mode: MuSetterMode2D, )

Sets the gravitational parameter of the parent body. Read more
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fn get_semi_major_axis(&self) -> f64

Gets the semi-major axis of the orbit. Read more
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fn get_semi_minor_axis(&self) -> f64

Gets the semi-minor axis of the orbit. Read more
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fn get_semi_latus_rectum(&self) -> f64

Gets the semi-latus rectum of the orbit, in meters. Read more
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fn get_linear_eccentricity(&self) -> f64

Gets the linear eccentricity of the orbit, in meters. Read more
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fn get_true_anomaly_at_asymptote(&self) -> f64

Gets the true anomaly asymptote (f_∞) of the hyperbolic trajectory. Read more
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fn get_position_at_periapsis(&self) -> DVec2

Gets the position of the orbit at periapsis. Read more
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fn get_position_at_periapsis_unchecked(&self, p_vector: DVec2) -> DVec2

Gets the position of the orbit at periapsis based on a known P basis vector. Read more
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fn get_position_at_apoapsis(&self) -> DVec2

Gets the position of the orbit at apoapsis. Read more
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fn get_position_at_apoapsis_unchecked(&self, p_vector: DVec2) -> DVec2

Gets the position of the orbit at apoapsis based on a known P basis vector. Read more
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fn get_apoapsis(&self) -> f64

Gets the apoapsis of the orbit.
Returns infinity for parabolic orbits.
Returns negative values for hyperbolic orbits.\ Read more
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fn get_mean_motion(&self) -> f64

Gets the mean motion of the orbit, in radians per second. Read more
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fn get_focal_parameter(&self) -> f64

Gets the focal parameter of the orbit, in meters. Read more
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fn get_specific_angular_momentum(&self) -> f64

Gets the specific angular momentum of the orbit, in square meters per second (m^2/s). Read more
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fn get_specific_orbital_energy(&self) -> f64

Gets the specific orbital energy ε of the orbit, in joules per kilogram (J/kg, equiv. to m^2 ⋅ s^-2). Read more
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fn get_area_sweep_rate(&self) -> f64

Gets the area swept out by the orbit in square meters per second (m^2/s). Read more
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fn get_time_of_periapsis(&self) -> f64

Gets the time when the orbit is in periapsis, in seconds since epoch. Read more
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fn get_time_of_apoapsis(&self) -> f64

Gets the time when the orbit is in apoapsis, in seconds since epoch. Read more
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fn get_pqw_basis_vectors(&self) -> (DVec2, DVec2)

Gets the basis vectors for the perifocal coordinate (PQW) system. Read more
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fn get_eccentricity_vector(&self) -> DVec2

Gets the eccentricity vector of this orbit. Read more
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fn get_eccentricity_vector_unchecked(&self, p_vector: DVec2) -> DVec2

Gets the eccentricity vector of this orbit. Read more
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fn get_eccentric_anomaly_at_mean_anomaly(&self, mean_anomaly: f64) -> f64

Gets the eccentric anomaly at a given mean anomaly in the orbit. Read more
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fn get_approx_hyperbolic_eccentric_anomaly(&self, mean_anomaly: f64) -> f64

Get an initial guess for the hyperbolic eccentric anomaly of an orbit. Read more
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fn get_hyperbolic_eccentric_anomaly(&self, mean_anomaly: f64) -> f64

Gets the hyperbolic eccentric anomaly of the orbit. Read more
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fn get_elliptic_eccentric_anomaly(&self, mean_anomaly: f64) -> f64

Gets the elliptic eccentric anomaly of the orbit. Read more
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fn get_eccentric_anomaly_at_true_anomaly(&self, true_anomaly: f64) -> f64

Gets the eccentric anomaly at a given true anomaly in the orbit. Read more
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fn get_eccentric_anomaly_at_time(&self, time: f64) -> f64

Gets the eccentric anomaly at a given time in the orbit. Read more
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fn get_true_anomaly_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> f64

Gets the true anomaly at a given eccentric anomaly in the orbit. Read more
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fn get_true_anomaly_at_mean_anomaly(&self, mean_anomaly: f64) -> f64

Gets the true anomaly at a given mean anomaly in the orbit. Read more
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fn get_true_anomaly_at_time(&self, time: f64) -> f64

Gets the true anomaly at a given time in the orbit. Read more
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fn get_true_anomaly_at_altitude(&self, altitude: f64) -> f64

Gets the true anomaly where a certain altitude is reached. Read more
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fn get_true_anomaly_at_altitude_unchecked( &self, semi_latus_rectum: f64, altitude: f64, eccentricity_recip: f64, ) -> f64

Gets the true anomaly where a certain altitude is reached. Read more
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fn get_mean_anomaly_at_time(&self, time: f64) -> f64

Gets the mean anomaly at a given time in the orbit. Read more
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fn get_mean_anomaly_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> f64

Gets the mean anomaly at a given eccentric anomaly in the orbit. Read more
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fn get_mean_anomaly_at_elliptic_eccentric_anomaly( &self, eccentric_anomaly: f64, sin_eccentric_anomaly: f64, ) -> f64

Gets the mean anomaly at a given eccentric anomaly in the orbit and its precomputed sine. Read more
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fn get_mean_anomaly_at_hyperbolic_eccentric_anomaly( &self, eccentric_anomaly: f64, sinh_eccentric_anomaly: f64, ) -> f64

Gets the mean anomaly at a given eccentric anomaly in the orbit and its precomputed sine. Read more
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fn get_mean_anomaly_at_true_anomaly(&self, true_anomaly: f64) -> f64

Gets the mean anomaly at a given true anomaly in the orbit. Read more
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fn get_position_at_true_anomaly(&self, angle: f64) -> DVec2

Gets the position at a given angle (true anomaly) in the orbit. Read more
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fn get_position_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> DVec2

Gets the position at a given eccentric anomaly in the orbit. Read more
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fn get_speed_at_true_anomaly(&self, angle: f64) -> f64

Gets the speed at a given angle (true anomaly) in the orbit. Read more
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fn get_speed_at_altitude(&self, altitude: f64) -> f64

Gets the speed at a given altitude in the orbit. Read more
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fn get_speed_at_periapsis(&self) -> f64

Gets the speed at the periapsis of the orbit. Read more
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fn get_speed_at_apoapsis(&self) -> f64

Gets the speed at the apoapsis of the orbit. Read more
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fn get_speed_at_infinity(&self) -> f64

Gets the hyperbolic excess speed (v_∞) of the trajectory. Read more
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fn get_speed_at_time(&self, time: f64) -> f64

Gets the speed at a given time in the orbit. Read more
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fn get_speed_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> f64

Gets the speed at a given eccentric anomaly in the orbit. Read more
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fn get_speed_at_mean_anomaly(&self, mean_anomaly: f64) -> f64

Gets the speed at a given mean anomaly in the orbit. Read more
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fn get_pqw_velocity_at_true_anomaly(&self, angle: f64) -> DVec2

Gets the velocity at a given angle (true anomaly) in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_periapsis(&self) -> DVec2

Gets the velocity at the periapsis of the orbit in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_apoapsis(&self) -> DVec2

Gets the velocity at the apoapsis of the orbit in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_incoming_asymptote(&self) -> DVec2

Gets the velocity at the incoming asymptote of the trajectory in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_outgoing_asymptote(&self) -> DVec2

Gets the velocity at the outgoing asymptote of the trajectory in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> DVec2

Gets the velocity at a given eccentric anomaly in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_mean_anomaly(&self, mean_anomaly: f64) -> DVec2

Gets the velocity at a given mean anomaly in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_eccentric_anomaly_unchecked( &self, outer_mult: f64, q_mult: f64, trig_ecc_anom: (f64, f64), ) -> DVec2

Gets the velocity at a given eccentric anomaly in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_velocity_at_time(&self, time: f64) -> DVec2

Gets the velocity at a given time in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_position_at_true_anomaly(&self, angle: f64) -> DVec2

Gets the position at a given angle (true anomaly) in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_position_at_true_anomaly_unchecked( &self, altitude: f64, sincos_angle: (f64, f64), ) -> DVec2

Gets the position at a certain point in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_position_at_time(&self, time: f64) -> DVec2

Gets the position at a given time in the orbit in the perifocal coordinate system. Read more
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fn get_pqw_position_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> DVec2

Gets the position at a given eccentric anomaly in the orbit in the perifocal coordinate system. Read more
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fn get_velocity_at_true_anomaly(&self, angle: f64) -> DVec2

Gets the velocity at a given angle (true anomaly) in the orbit. Read more
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fn get_velocity_at_periapsis(&self) -> DVec2

Gets the velocity at the periapsis of the orbit. Read more
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fn get_velocity_at_apoapsis(&self) -> DVec2

Gets the velocity at the apoapsis of the orbit. Read more
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fn get_velocity_at_incoming_asymptote(&self) -> DVec2

Gets the velocity at the incoming asymptote of the trajectory. Read more
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fn get_velocity_at_outgoing_asymptote(&self) -> DVec2

Gets the velocity at the outgoing asymptote of the trajectory. Read more
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fn get_velocity_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> DVec2

Gets the velocity at a given eccentric anomaly in the orbit. Read more
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fn get_velocity_at_time(&self, time: f64) -> DVec2

Gets the velocity at a given time in the orbit. Read more
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fn get_velocity_at_mean_anomaly(&self, mean_anomaly: f64) -> DVec2

Gets the velocity at a given mean anomaly in the orbit. Read more
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fn get_altitude_at_true_anomaly(&self, true_anomaly: f64) -> f64

Gets the altitude of the body from its parent at a given angle (true anomaly) in the orbit. Read more
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fn get_altitude_at_true_anomaly_unchecked( &self, semi_latus_rectum: f64, cos_true_anomaly: f64, ) -> f64

Gets the altitude of the body from its parent given the cosine of the true anomaly. Read more
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fn get_altitude_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> f64

Gets the altitude at a given eccentric anomaly in the orbit. Read more
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fn get_altitude_at_time(&self, time: f64) -> f64

Gets the altitude of the body from its parent at a given time in the orbit. Read more
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fn get_position_at_time(&self, time: f64) -> DVec2

Gets the position at a given time in the orbit. Read more
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fn get_position_at_mean_anomaly(&self, mean_anomaly: f64) -> DVec2

Gets the position at a given mean anomaly in the orbit. Read more
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fn get_state_vectors_at_eccentric_anomaly( &self, eccentric_anomaly: f64, ) -> StateVectors2D

Gets the position and velocity at a given eccentric anomaly in the orbit. Read more
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fn get_state_vectors_at_true_anomaly(&self, true_anomaly: f64) -> StateVectors2D

Gets the position and velocity at a given angle (true anomaly) in the orbit. Read more
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fn get_state_vectors_at_mean_anomaly(&self, mean_anomaly: f64) -> StateVectors2D

Gets the position and velocity at a given mean anomaly in the orbit. Read more
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fn get_state_vectors_at_time(&self, time: f64) -> StateVectors2D

Gets the position and velocity at a given time in the orbit. Read more
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fn get_state_vectors_from_unchecked_parts( &self, sqrt_abs_gm_a: f64, altitude: f64, q_mult: f64, trig_ecc_anom: (f64, f64), sincos_angle: (f64, f64), ) -> StateVectors2D

Gets the position and velocity at a certain point in the orbit. Read more
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fn get_time_at_mean_anomaly(&self, mean_anomaly: f64) -> f64

Gets the time of the orbit at a certain mean anomaly. Read more
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fn get_time_at_eccentric_anomaly(&self, eccentric_anomaly: f64) -> f64

Gets the time of the orbit at a certain eccentric anomaly. Read more
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fn get_time_at_true_anomaly(&self, true_anomaly: f64) -> f64

Gets the time of the orbit at a certain true anomaly. Read more
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fn transform_pqw_vector(&self, position: DVec2) -> DVec2

Transforms a position from the perifocal coordinate (PQW) system into world space, using the orbital parameters. Read more
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fn is_circular(&self) -> bool

Gets whether or not the orbit is circular. Read more
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fn is_elliptic(&self) -> bool

Gets whether or not the orbit is strictly elliptic. Read more
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fn is_closed(&self) -> bool

Gets whether or not the orbit is closed. Read more
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fn is_parabolic(&self) -> bool

Gets whether or not the trajectory is parabolic. Read more
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fn is_hyperbolic(&self) -> bool

Gets whether or not the trajectory is hyperbolic. Read more
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fn is_open(&self) -> bool

Gets whether or not the trajectory is open. Read more
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fn get_orbital_period(&self) -> f64

Gets the time it takes to complete one revolution of the orbit. Read more
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impl PartialEq for Orbit2D

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fn eq(&self, other: &Orbit2D) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Copy for Orbit2D

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impl StructuralPartialEq for Orbit2D

Auto Trait Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
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fn from(t: T) -> T

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That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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type Owned = T

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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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