org.orekit.utils

Class FieldPVCoordinates<T extends RealFieldElement<T>>

java.lang.Object

org.orekit.utils.FieldPVCoordinates<T>

Type Parameters:

T - the type of the field elements

All Implemented Interfaces:

TimeShiftable<FieldPVCoordinates<T>>

Direct Known Subclasses:

TimeStampedFieldPVCoordinates

public class FieldPVCoordinates<T extends RealFieldElement<T>>
extends Object
implements TimeShiftable<FieldPVCoordinates<T>>

Simple container for Position/Velocity pairs, using RealFieldElement.

The state can be slightly shifted to close dates. This shift is based on a simple linear model. It is not intended as a replacement for proper orbit propagation (it is not even Keplerian!) but should be sufficient for either small time shifts or coarse accuracy.

This class is the angular counterpart to FieldAngularCoordinates.

Instances of this class are guaranteed to be immutable.

Since:

6.0

Author:

Luc Maisonobe

See Also:

PVCoordinates

Constructor Summary

Constructors

Constructor and Description
FieldPVCoordinates(double a, FieldPVCoordinates<T> pv) Multiplicative constructor.
FieldPVCoordinates(double a1, FieldPVCoordinates<T> pv1, double a2, FieldPVCoordinates<T> pv2) Linear constructor.
FieldPVCoordinates(double a1, FieldPVCoordinates<T> pv1, double a2, FieldPVCoordinates<T> pv2, double a3, FieldPVCoordinates<T> pv3) Linear constructor.
FieldPVCoordinates(double a1, FieldPVCoordinates<T> pv1, double a2, FieldPVCoordinates<T> pv2, double a3, FieldPVCoordinates<T> pv3, double a4, FieldPVCoordinates<T> pv4) Linear constructor.
FieldPVCoordinates(Field<T> field, PVCoordinates pv) Builds a FieldPVCoordinates from a field and a regular PVCoordinates.
FieldPVCoordinates(FieldPVCoordinates<T> start, FieldPVCoordinates<T> end) Subtractive constructor.
FieldPVCoordinates(FieldVector3D<T> position, FieldVector3D<T> velocity) Builds a FieldPVCoordinates triplet with zero acceleration.
FieldPVCoordinates(FieldVector3D<T> position, FieldVector3D<T> velocity, FieldVector3D<T> acceleration) Builds a FieldPVCoordinates triplet.
FieldPVCoordinates(T a, FieldPVCoordinates<T> pv) Multiplicative constructor.
FieldPVCoordinates(T a1, FieldPVCoordinates<T> pv1, T a2, FieldPVCoordinates<T> pv2) Linear constructor.
FieldPVCoordinates(T a1, FieldPVCoordinates<T> pv1, T a2, FieldPVCoordinates<T> pv2, T a3, FieldPVCoordinates<T> pv3) Linear constructor.
FieldPVCoordinates(T a1, FieldPVCoordinates<T> pv1, T a2, FieldPVCoordinates<T> pv2, T a3, FieldPVCoordinates<T> pv3, T a4, FieldPVCoordinates<T> pv4) Linear constructor.
FieldPVCoordinates(T a, PVCoordinates pv) Multiplicative constructor.
FieldPVCoordinates(T a1, PVCoordinates pv1, T a2, PVCoordinates pv2) Linear constructor.
FieldPVCoordinates(T a1, PVCoordinates pv1, T a2, PVCoordinates pv2, T a3, PVCoordinates pv3) Linear constructor.
FieldPVCoordinates(T a1, PVCoordinates pv1, T a2, PVCoordinates pv2, T a3, PVCoordinates pv3, T a4, PVCoordinates pv4) Linear constructor.

Method Summary

Modifier and Type	Method and Description
FieldPVCoordinates<T>	crossProduct(FieldPVCoordinates<T> pv2) Compute the cross-product of two instances.
static <T extends RealFieldElement<T>> FieldVector3D<T>	estimateVelocity(FieldVector3D<T> start, FieldVector3D<T> end, double dt) Estimate velocity between two positions.
FieldVector3D<T>	getAcceleration() Gets the acceleration.
FieldVector3D<T>	getAngularVelocity() Get the angular velocity (spin) of this point as seen from the origin.
FieldVector3D<T>	getMomentum() Gets the momentum.
FieldVector3D<T>	getPosition() Gets the position.
FieldVector3D<T>	getVelocity() Gets the velocity.
static <T extends RealFieldElement<T>> FieldPVCoordinates<T>	getZero(Field<T> field) Get fixed position/velocity at origin (both p, v and a are zero vectors).
FieldPVCoordinates<T>	negate() Get the opposite of the instance.
FieldPVCoordinates<T>	normalize() Normalize the position part of the instance.
FieldPVCoordinates<T>	shiftedBy(double dt) Get a time-shifted state.
FieldPVCoordinates<T>	shiftedBy(T dt) Get a time-shifted state.
PVCoordinates	toPVCoordinates() Convert to a constant position-velocity.
String	toString() Return a string representation of this position/velocity pair.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

FieldPVCoordinates

public FieldPVCoordinates(FieldVector3D<T> position,
                          FieldVector3D<T> velocity)

Builds a FieldPVCoordinates triplet with zero acceleration.

Parameters:

position - the position vector (m)

velocity - the velocity vector (m/s)

FieldPVCoordinates

public FieldPVCoordinates(FieldVector3D<T> position,
                          FieldVector3D<T> velocity,
                          FieldVector3D<T> acceleration)

Builds a FieldPVCoordinates triplet.

Parameters:

position - the position vector (m)

velocity - the velocity vector (m/s)

acceleration - the acceleration vector (m/s²)

FieldPVCoordinates

public FieldPVCoordinates(Field<T> field,
                          PVCoordinates pv)

Builds a FieldPVCoordinates from a field and a regular PVCoordinates.

Parameters:

field - field for the components

pv - PVCoordinates triplet to convert

FieldPVCoordinates

public FieldPVCoordinates(double a,
                          FieldPVCoordinates<T> pv)

Multiplicative constructor.

Build a PVCoordinates from another one and a scale factor.

The PVCoordinates built will be a * pv

Parameters:

a - scale factor

pv - base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a,
                          FieldPVCoordinates<T> pv)

Multiplicative constructor.

Build a PVCoordinates from another one and a scale factor.

The PVCoordinates built will be a * pv

Parameters:

a - scale factor

pv - base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a,
                          PVCoordinates pv)

Multiplicative constructor.

Build a PVCoordinates from another one and a scale factor.

The PVCoordinates built will be a * pv

Parameters:

a - scale factor

pv - base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(FieldPVCoordinates<T> start,
                          FieldPVCoordinates<T> end)

Subtractive constructor.

Build a relative PVCoordinates from a start and an end position.

The PVCoordinates built will be end - start.

Parameters:

start - Starting PVCoordinates

end - ending PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(double a1,
                          FieldPVCoordinates<T> pv1,
                          double a2,
                          FieldPVCoordinates<T> pv2)

Linear constructor.

Build a PVCoordinates from two other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a1,
                          FieldPVCoordinates<T> pv1,
                          T a2,
                          FieldPVCoordinates<T> pv2)

Linear constructor.

Build a PVCoordinates from two other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a1,
                          PVCoordinates pv1,
                          T a2,
                          PVCoordinates pv2)

Linear constructor.

Build a PVCoordinates from two other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(double a1,
                          FieldPVCoordinates<T> pv1,
                          double a2,
                          FieldPVCoordinates<T> pv2,
                          double a3,
                          FieldPVCoordinates<T> pv3)

Linear constructor.

Build a PVCoordinates from three other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2 + a3 * u3

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

a3 - third scale factor

pv3 - third base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a1,
                          FieldPVCoordinates<T> pv1,
                          T a2,
                          FieldPVCoordinates<T> pv2,
                          T a3,
                          FieldPVCoordinates<T> pv3)

Linear constructor.

Build a PVCoordinates from three other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2 + a3 * u3

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

a3 - third scale factor

pv3 - third base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a1,
                          PVCoordinates pv1,
                          T a2,
                          PVCoordinates pv2,
                          T a3,
                          PVCoordinates pv3)

Linear constructor.

Build a PVCoordinates from three other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2 + a3 * u3

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

a3 - third scale factor

pv3 - third base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(double a1,
                          FieldPVCoordinates<T> pv1,
                          double a2,
                          FieldPVCoordinates<T> pv2,
                          double a3,
                          FieldPVCoordinates<T> pv3,
                          double a4,
                          FieldPVCoordinates<T> pv4)

Linear constructor.

Build a PVCoordinates from four other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

a3 - third scale factor

pv3 - third base (unscaled) PVCoordinates

a4 - fourth scale factor

pv4 - fourth base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a1,
                          FieldPVCoordinates<T> pv1,
                          T a2,
                          FieldPVCoordinates<T> pv2,
                          T a3,
                          FieldPVCoordinates<T> pv3,
                          T a4,
                          FieldPVCoordinates<T> pv4)

Linear constructor.

Build a PVCoordinates from four other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

a3 - third scale factor

pv3 - third base (unscaled) PVCoordinates

a4 - fourth scale factor

pv4 - fourth base (unscaled) PVCoordinates

FieldPVCoordinates

public FieldPVCoordinates(T a1,
                          PVCoordinates pv1,
                          T a2,
                          PVCoordinates pv2,
                          T a3,
                          PVCoordinates pv3,
                          T a4,
                          PVCoordinates pv4)

Linear constructor.

Build a PVCoordinates from four other ones and corresponding scale factors.

The PVCoordinates built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4

Parameters:

a1 - first scale factor

pv1 - first base (unscaled) PVCoordinates

a2 - second scale factor

pv2 - second base (unscaled) PVCoordinates

a3 - third scale factor

pv3 - third base (unscaled) PVCoordinates

a4 - fourth scale factor

pv4 - fourth base (unscaled) PVCoordinates

Method Detail

getZero

public static <T extends RealFieldElement<T>> FieldPVCoordinates<T> getZero(Field<T> field)

Get fixed position/velocity at origin (both p, v and a are zero vectors).

Type Parameters:

T - the type of the field elements

Parameters:

field - field for the components

Returns:

a new fixed position/velocity at origin

estimateVelocity

public static <T extends RealFieldElement<T>> FieldVector3D<T> estimateVelocity(FieldVector3D<T> start,
                                                                                FieldVector3D<T> end,
                                                                                double dt)

Estimate velocity between two positions.

Estimation is based on a simple fixed velocity translation during the time interval between the two positions.

Type Parameters:

T - the type of the field elements

Parameters:

start - start position

end - end position

dt - time elapsed between the dates of the two positions

Returns:

velocity allowing to go from start to end positions

shiftedBy

public FieldPVCoordinates<T> shiftedBy(double dt)

Get a time-shifted state.

The state can be slightly shifted to close dates. This shift is based on a simple quadratic model. It is not intended as a replacement for proper orbit propagation (it is not even Keplerian!) but should be sufficient for either small time shifts or coarse accuracy.

Specified by:

shiftedBy in interface TimeShiftable<FieldPVCoordinates<T extends RealFieldElement<T>>>

Parameters:

dt - time shift in seconds

Returns:

a new state, shifted with respect to the instance (which is immutable)

shiftedBy

public FieldPVCoordinates<T> shiftedBy(T dt)

Get a time-shifted state.

The state can be slightly shifted to close dates. This shift is based on a simple quadratic model. It is not intended as a replacement for proper orbit propagation (it is not even Keplerian!) but should be sufficient for either small time shifts or coarse accuracy.

Parameters:

dt - time shift in seconds

Returns:

a new state, shifted with respect to the instance (which is immutable)

getPosition

public FieldVector3D<T> getPosition()

Gets the position.

Returns:

the position vector (m).

getVelocity

public FieldVector3D<T> getVelocity()

Gets the velocity.

Returns:

the velocity vector (m/s).

getAcceleration

public FieldVector3D<T> getAcceleration()

Gets the acceleration.

Returns:

the acceleration vector (m/s²).

getMomentum

public FieldVector3D<T> getMomentum()

Gets the momentum.

This vector is the p ⊗ v where p is position, v is velocity and ⊗ is cross product. To get the real physical angular momentum you need to multiply this vector by the mass.

The returned vector is recomputed each time this method is called, it is not cached.

Returns:

a new instance of the momentum vector (m²/s).

getAngularVelocity

public FieldVector3D<T> getAngularVelocity()

Get the angular velocity (spin) of this point as seen from the origin.

The angular velocity vector is parallel to the angular * momentum and is computed by ω = p × v / ||p||²

Returns:

the angular velocity vector

See Also:

Angular Velocity on Wikipedia

negate

public FieldPVCoordinates<T> negate()

Get the opposite of the instance.

Returns:

a new position-velocity which is opposite to the instance

normalize

public FieldPVCoordinates<T> normalize()

Normalize the position part of the instance.

The computed coordinates first component (position) will be a normalized vector, the second component (velocity) will be the derivative of the first component (hence it will generally not be normalized), and the third component (acceleration) will be the derivative of the second component (hence it will generally not be normalized).

Returns:

a new instance, with first component normalized and remaining component computed to have consistent derivatives

crossProduct

public FieldPVCoordinates<T> crossProduct(FieldPVCoordinates<T> pv2)

Compute the cross-product of two instances.

Parameters:

pv2 - second instances

Returns:

the cross product v1 ^ v2 as a new instance

toPVCoordinates

public PVCoordinates toPVCoordinates()

Convert to a constant position-velocity.

Returns:

a constant position-velocity

toString

public String toString()

Return a string representation of this position/velocity pair.

Overrides:

toString in class Object

Returns:

string representation of this position/velocity pair