org.orekit.utils

Class FieldAbsolutePVCoordinates<T extends RealFieldElement<T>>

java.lang.Object

org.orekit.utils.FieldPVCoordinates<T>

org.orekit.utils.TimeStampedFieldPVCoordinates<T>

org.orekit.utils.FieldAbsolutePVCoordinates<T>

All Implemented Interfaces:

FieldTimeInterpolable<FieldAbsolutePVCoordinates<T>,T>, FieldTimeStamped<T>, TimeShiftable<FieldPVCoordinates<T>>, FieldPVCoordinatesProvider<T>

public class FieldAbsolutePVCoordinates<T extends RealFieldElement<T>>
extends TimeStampedFieldPVCoordinates<T>
implements FieldTimeStamped<T>, FieldTimeInterpolable<FieldAbsolutePVCoordinates<T>,T>, FieldPVCoordinatesProvider<T>

Field implementation of AbsolutePVCoordinates.

Author:

Vincent Mouraux

See Also:

AbsolutePVCoordinates

Constructor Summary

Constructors

Constructor and Description
FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date, FieldAbsolutePVCoordinates<T> start, FieldAbsolutePVCoordinates<T> end) Subtractive constructor
FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date, T a, FieldAbsolutePVCoordinates<T> AbsPva) Multiplicative constructor
FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date, T a1, FieldAbsolutePVCoordinates<T> absPv1, T a2, FieldAbsolutePVCoordinates<T> absPv2) Linear constructor
FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date, T a1, FieldAbsolutePVCoordinates<T> absPv1, T a2, FieldAbsolutePVCoordinates<T> absPv2, T a3, FieldAbsolutePVCoordinates<T> absPv3) Linear constructor
FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date, T a1, FieldAbsolutePVCoordinates<T> absPv1, T a2, FieldAbsolutePVCoordinates<T> absPv2, T a3, FieldAbsolutePVCoordinates<T> absPv3, T a4, FieldAbsolutePVCoordinates<T> absPv4) Linear constructor
FieldAbsolutePVCoordinates(Frame frame, FieldAbsoluteDate<T> date, FieldPVCoordinates<T> pva) Build from frame, date and FieldPVA coordinates.
FieldAbsolutePVCoordinates(Frame frame, FieldAbsoluteDate<T> date, FieldVector3D<FieldDerivativeStructure<T>> p) Builds a FieldAbsolutePVCoordinates triplet from a FieldVector3D<DerivativeStructure>.
FieldAbsolutePVCoordinates(Frame frame, FieldAbsoluteDate<T> date, FieldVector3D<T> position, FieldVector3D<T> velocity) Build from position and velocity.
FieldAbsolutePVCoordinates(Frame frame, FieldAbsoluteDate<T> date, FieldVector3D<T> position, FieldVector3D<T> velocity, FieldVector3D<T> acceleration) Build from position, velocity, acceleration.
FieldAbsolutePVCoordinates(Frame frame, TimeStampedFieldPVCoordinates<T> pva) Build from frame and TimeStampedFieldPVCoordinates.

Method Summary

Modifier and Type	Method and Description
Frame	getFrame() Get the frame in which the coordinates are defined.
TimeStampedFieldPVCoordinates<T>	getPVCoordinates() Get the TimeStampedFieldPVCoordinates.
TimeStampedFieldPVCoordinates<T>	getPVCoordinates(FieldAbsoluteDate<T> otherDate, Frame outputFrame) Get the FieldPVCoordinates of the body in the selected frame.
TimeStampedFieldPVCoordinates<T>	getPVCoordinates(Frame outputFrame) Get the TimeStampedFieldPVCoordinates in a specified frame.
FieldAbsolutePVCoordinates<T>	interpolate(FieldAbsoluteDate<T> date, Stream<FieldAbsolutePVCoordinates<T>> sample) Get an interpolated instance.
static <T extends RealFieldElement<T>> FieldAbsolutePVCoordinates<T>	interpolate(Frame frame, FieldAbsoluteDate<T> date, CartesianDerivativesFilter filter, Stream<FieldAbsolutePVCoordinates<T>> sample) Interpolate position-velocity.
FieldAbsolutePVCoordinates<T>	shiftedBy(double dt) Get a time-shifted state.
FieldAbsolutePVCoordinates<T>	shiftedBy(T dt) Get a time-shifted state.
AbsolutePVCoordinates	toAbsolutePVCoordinates() Converts to an AbsolutePVCoordinates instance.
FieldPVCoordinatesProvider<T>	toTaylorProvider() Create a local provider using simply Taylor expansion through shiftedBy(double).

Methods inherited from class org.orekit.utils.TimeStampedFieldPVCoordinates

getDate, interpolate, interpolate, toString, toTimeStampedPVCoordinates

Methods inherited from class org.orekit.utils.FieldPVCoordinates

crossProduct, estimateVelocity, getAcceleration, getAngularVelocity, getMomentum, getPosition, getVelocity, getZero, negate, normalize, toDerivativeStructurePV, toDerivativeStructureVector, toPVCoordinates

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.orekit.time.FieldTimeStamped

getDate

Methods inherited from interface org.orekit.time.FieldTimeInterpolable

interpolate

Constructor Detail

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(Frame frame,
                                  FieldAbsoluteDate<T> date,
                                  FieldVector3D<T> position,
                                  FieldVector3D<T> velocity,
                                  FieldVector3D<T> acceleration)

Build from position, velocity, acceleration.

Parameters:

frame - the frame in which the coordinates are defined

date - coordinates date

position - the position vector (m)

velocity - the velocity vector (m/s)

acceleration - the acceleration vector (m/sÂý)

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(Frame frame,
                                  FieldAbsoluteDate<T> date,
                                  FieldVector3D<T> position,
                                  FieldVector3D<T> velocity)

Build from position and velocity. Acceleration is set to zero.

Parameters:

frame - the frame in which the coordinates are defined

date - coordinates date

position - the position vector (m)

velocity - the velocity vector (m/s)

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(Frame frame,
                                  FieldAbsoluteDate<T> date,
                                  FieldPVCoordinates<T> pva)

Build from frame, date and FieldPVA coordinates.

Parameters:

frame - the frame in which the coordinates are defined

date - date of the coordinates

pva - TimeStampedPVCoordinates

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(Frame frame,
                                  TimeStampedFieldPVCoordinates<T> pva)

Build from frame and TimeStampedFieldPVCoordinates.

Parameters:

frame - the frame in which the coordinates are defined

pva - TimeStampedFieldPVCoordinates

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date,
                                  T a,
                                  FieldAbsolutePVCoordinates<T> AbsPva)

Multiplicative constructor

Build a FieldAbsolutePVCoordinates from another one and a scale factor.

The TimeStampedFieldPVCoordinates built will be a * AbsPva

Parameters:

date - date of the built coordinates

a - scale factor

AbsPva - base (unscaled) FieldAbsolutePVCoordinates

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date,
                                  FieldAbsolutePVCoordinates<T> start,
                                  FieldAbsolutePVCoordinates<T> end)

Subtractive constructor

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

The FieldAbsolutePVCoordinates built will be end - start.

In case start and end use two different pseudo-inertial frames, the new FieldAbsolutePVCoordinates arbitrarily be defined in the start frame.

Parameters:

date - date of the built coordinates

start - Starting FieldAbsolutePVCoordinates

end - ending FieldAbsolutePVCoordinates

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date,
                                  T a1,
                                  FieldAbsolutePVCoordinates<T> absPv1,
                                  T a2,
                                  FieldAbsolutePVCoordinates<T> absPv2)

Linear constructor

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

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

In case the FieldAbsolutePVCoordinates use different pseudo-inertial frames, the new FieldAbsolutePVCoordinates arbitrarily be defined in the first frame.

Parameters:

date - date of the built coordinates

a1 - first scale factor

absPv1 - first base (unscaled) FieldAbsolutePVCoordinates

a2 - second scale factor

absPv2 - second base (unscaled) FieldAbsolutePVCoordinates

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date,
                                  T a1,
                                  FieldAbsolutePVCoordinates<T> absPv1,
                                  T a2,
                                  FieldAbsolutePVCoordinates<T> absPv2,
                                  T a3,
                                  FieldAbsolutePVCoordinates<T> absPv3)

Linear constructor

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

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

In case the FieldAbsolutePVCoordinates use different pseudo-inertial frames, the new FieldAbsolutePVCoordinates arbitrarily be defined in the first frame.

Parameters:

date - date of the built coordinates

a1 - first scale factor

absPv1 - first base (unscaled) FieldAbsolutePVCoordinates

a2 - second scale factor

absPv2 - second base (unscaled) FieldAbsolutePVCoordinates

a3 - third scale factor

absPv3 - third base (unscaled) FieldAbsolutePVCoordinates

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(FieldAbsoluteDate<T> date,
                                  T a1,
                                  FieldAbsolutePVCoordinates<T> absPv1,
                                  T a2,
                                  FieldAbsolutePVCoordinates<T> absPv2,
                                  T a3,
                                  FieldAbsolutePVCoordinates<T> absPv3,
                                  T a4,
                                  FieldAbsolutePVCoordinates<T> absPv4)

Linear constructor

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

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

In case the FieldAbsolutePVCoordinates use different pseudo-inertial frames, the new AbsolutePVCoordinates arbitrarily be defined in the first frame.

Parameters:

date - date of the built coordinates

a1 - first scale factor

absPv1 - first base (unscaled) FieldAbsolutePVCoordinates

a2 - second scale factor

absPv2 - second base (unscaled) FieldAbsolutePVCoordinates

a3 - third scale factor

absPv3 - third base (unscaled) FieldAbsolutePVCoordinates

a4 - fourth scale factor

absPv4 - fourth base (unscaled) FieldAbsolutePVCoordinates

FieldAbsolutePVCoordinates

public FieldAbsolutePVCoordinates(Frame frame,
                                  FieldAbsoluteDate<T> date,
                                  FieldVector3D<FieldDerivativeStructure<T>> p)

Builds a FieldAbsolutePVCoordinates triplet from a FieldVector3D<DerivativeStructure>.

The vector components must have time as their only derivation parameter and have consistent derivation orders.

Parameters:

frame - the frame in which the parameters are defined

date - date of the built coordinates

p - vector with time-derivatives embedded within the coordinates

Method Detail

shiftedBy

public FieldAbsolutePVCoordinates<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 Taylor expansion. 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.

Overrides:

shiftedBy in class TimeStampedFieldPVCoordinates<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 FieldAbsolutePVCoordinates<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 Taylor expansion. 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>>>

Overrides:

shiftedBy in class TimeStampedFieldPVCoordinates<T extends RealFieldElement<T>>

Parameters:

dt - time shift in seconds

Returns:

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

toTaylorProvider

public FieldPVCoordinatesProvider<T> toTaylorProvider()

Create a local provider using simply Taylor expansion through shiftedBy(double).

The time evolution is based on a simple Taylor expansion. 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.

Returns:

provider based on Taylor expansion, for small time shifts around instance date

getFrame

public Frame getFrame()

Get the frame in which the coordinates are defined.

Returns:

frame in which the coordinates are defined

getPVCoordinates

public TimeStampedFieldPVCoordinates<T> getPVCoordinates()

Get the TimeStampedFieldPVCoordinates.

Returns:

TimeStampedFieldPVCoordinates

getPVCoordinates

public TimeStampedFieldPVCoordinates<T> getPVCoordinates(Frame outputFrame)

Get the TimeStampedFieldPVCoordinates in a specified frame.

Parameters:

outputFrame - frame in which the position/velocity coordinates shall be computed

Returns:

TimeStampedFieldPVCoordinates

Throws:

OrekitException - if transformation between frames cannot be computed

See Also:

getPVCoordinates()

getPVCoordinates

public TimeStampedFieldPVCoordinates<T> getPVCoordinates(FieldAbsoluteDate<T> otherDate,
                                                         Frame outputFrame)

Description copied from interface: FieldPVCoordinatesProvider

Get the FieldPVCoordinates of the body in the selected frame.

Specified by:

getPVCoordinates in interface FieldPVCoordinatesProvider<T extends RealFieldElement<T>>

Parameters:

otherDate - current date

outputFrame - the frame where to define the position

Returns:

time-stamped position/velocity of the body (m and m/s)

interpolate

public FieldAbsolutePVCoordinates<T> interpolate(FieldAbsoluteDate<T> date,
                                                 Stream<FieldAbsolutePVCoordinates<T>> sample)

Description copied from interface: FieldTimeInterpolable

Get an interpolated instance.

Note that the state of the current instance may not be used in the interpolation process, only its type and non interpolable fields are used (for example central attraction coefficient or frame when interpolating orbits). The interpolable fields taken into account are taken only from the states of the sample points. So if the state of the instance must be used, the instance should be included in the sample points.

Note that this method is designed for small samples only (say up to about 10-20 points) so it can be implemented using polynomial interpolation (typically Hermite interpolation). Using too much points may induce Runge's phenomenon and numerical problems (including NaN appearing).

Specified by:

interpolate in interface FieldTimeInterpolable<FieldAbsolutePVCoordinates<T extends RealFieldElement<T>>,T extends RealFieldElement<T>>

Parameters:

date - interpolation date

sample - sample points on which interpolation should be done

Returns:

a new instance, interpolated at specified date

interpolate

public static <T extends RealFieldElement<T>> FieldAbsolutePVCoordinates<T> interpolate(Frame frame,
                                                                                        FieldAbsoluteDate<T> date,
                                                                                        CartesianDerivativesFilter filter,
                                                                                        Stream<FieldAbsolutePVCoordinates<T>> sample)

Interpolate position-velocity.

The interpolated instance is created by polynomial Hermite interpolation ensuring velocity remains the exact derivative of position.

Note that even if first time derivatives (velocities) from sample can be ignored, the interpolated instance always includes interpolated derivatives. This feature can be used explicitly to compute these derivatives when it would be too complex to compute them from an analytical formula: just compute a few sample points from the explicit formula and set the derivatives to zero in these sample points, then use interpolation to add derivatives consistent with the positions.

Type Parameters:

T - the type of the field elements

Parameters:

frame - frame for the interpolted instance

date - interpolation date

filter - filter for derivatives from the sample to use in interpolation

sample - sample points on which interpolation should be done

Returns:

a new position-velocity, interpolated at specified date

Throws:

OrekitIllegalArgumentException - if some elements in the sample do not have the same defining frame as other

toAbsolutePVCoordinates

public AbsolutePVCoordinates toAbsolutePVCoordinates()

Converts to an AbsolutePVCoordinates instance.

Returns:

AbsolutePVCoordinates with same properties