T - type of the field elementspublic class FieldEquinoctialOrbit<T extends org.hipparchus.CalculusFieldElement<T>> extends FieldOrbit<T> implements PositionAngleBased
The parameters used internally are the equinoctial elements which can be related to Keplerian elements as follows:
a
ex = e cos(ω + Ω)
ey = e sin(ω + Ω)
hx = tan(i/2) cos(Ω)
hy = tan(i/2) sin(Ω)
lv = v + ω + Ω
where ω stands for the Perigee Argument and Ω stands for the
Right Ascension of the Ascending Node.
The conversion equations from and to Keplerian elements given above hold only when both sides are unambiguously defined, i.e. when orbit is neither equatorial nor circular. When orbit is either equatorial or circular, the equinoctial parameters are still unambiguously defined whereas some Keplerian elements (more precisely ω and Ω) become ambiguous. For this reason, equinoctial parameters are the recommended way to represent orbits. Note however than the present implementation does not handle non-elliptical cases.
The instance EquinoctialOrbit is guaranteed to be immutable.
Orbit,
KeplerianOrbit,
CircularOrbit,
CartesianOrbit| Constructor and Description |
|---|
FieldEquinoctialOrbit(org.hipparchus.Field<T> field,
EquinoctialOrbit op)
Constructor from Field and EquinoctialOrbit.
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FieldEquinoctialOrbit(org.hipparchus.Field<T> field,
Orbit op)
Constructor from Field and Orbit.
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FieldEquinoctialOrbit(FieldOrbit<T> op)
Constructor from any kind of orbital parameters.
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FieldEquinoctialOrbit(FieldPVCoordinates<T> pvCoordinates,
Frame frame,
FieldAbsoluteDate<T> date,
T mu)
Constructor from Cartesian parameters.
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FieldEquinoctialOrbit(TimeStampedFieldPVCoordinates<T> pvCoordinates,
Frame frame,
T mu)
Constructor from Cartesian parameters.
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FieldEquinoctialOrbit(T a,
T ex,
T ey,
T hx,
T hy,
T l,
PositionAngleType type,
Frame frame,
FieldAbsoluteDate<T> date,
T mu)
Creates a new instance.
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FieldEquinoctialOrbit(T a,
T ex,
T ey,
T hx,
T hy,
T l,
T aDot,
T exDot,
T eyDot,
T hxDot,
T hyDot,
T lDot,
PositionAngleType type,
Frame frame,
FieldAbsoluteDate<T> date,
T mu)
Creates a new instance.
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| Modifier and Type | Method and Description |
|---|---|
void |
addKeplerContribution(PositionAngleType type,
T gm,
T[] pDot)
Add the contribution of the Keplerian motion to parameters derivatives
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protected T[][] |
computeJacobianEccentricWrtCartesian()
Compute the Jacobian of the orbital parameters with eccentric angle with respect to the Cartesian parameters.
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protected T[][] |
computeJacobianMeanWrtCartesian()
Compute the Jacobian of the orbital parameters with mean angle with respect to the Cartesian parameters.
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protected T[][] |
computeJacobianTrueWrtCartesian()
Compute the Jacobian of the orbital parameters with true angle with respect to the Cartesian parameters.
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static <T extends org.hipparchus.CalculusFieldElement<T>> |
eccentricToMean(T lE,
T ex,
T ey)
Computes the mean longitude argument from the eccentric longitude argument.
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static <T extends org.hipparchus.CalculusFieldElement<T>> |
eccentricToTrue(T lE,
T ex,
T ey)
Computes the true longitude argument from the eccentric longitude argument.
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T |
getA()
Get the semi-major axis.
|
T |
getADot()
Get the semi-major axis derivative.
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PositionAngleType |
getCachedPositionAngleType()
Get the cached
PositionAngleType. |
T |
getE()
Get the eccentricity.
|
T |
getEDot()
Get the eccentricity derivative.
|
T |
getEquinoctialEx()
Get the first component of the equinoctial eccentricity vector.
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T |
getEquinoctialExDot()
Get the first component of the equinoctial eccentricity vector.
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T |
getEquinoctialEy()
Get the second component of the equinoctial eccentricity vector.
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T |
getEquinoctialEyDot()
Get the second component of the equinoctial eccentricity vector.
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T |
getHx()
Get the first component of the inclination vector.
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T |
getHxDot()
Get the first component of the inclination vector derivative.
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T |
getHy()
Get the second component of the inclination vector.
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T |
getHyDot()
Get the second component of the inclination vector derivative.
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T |
getI()
Get the inclination.
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T |
getIDot()
Get the inclination derivative.
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T |
getL(PositionAngleType type)
Get the longitude argument.
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T |
getLDot(PositionAngleType type)
Get the longitude argument derivative.
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T |
getLE()
Get the eccentric longitude argument.
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T |
getLEDot()
Get the eccentric longitude argument derivative.
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T |
getLM()
Get the mean longitude argument.
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T |
getLMDot()
Get the mean longitude argument derivative.
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T |
getLv()
Get the true longitude argument.
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T |
getLvDot()
Get the true longitude argument derivative.
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OrbitType |
getType()
Get the orbit type.
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boolean |
hasDerivatives()
Check if orbit includes derivatives.
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boolean |
hasRates()
Tells whether the instance holds rates (first-order time derivatives) for dependent variables.
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protected org.hipparchus.geometry.euclidean.threed.FieldVector3D<T> |
initPosition()
Compute the position coordinates from the canonical parameters.
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protected TimeStampedFieldPVCoordinates<T> |
initPVCoordinates()
Compute the position/velocity coordinates from the canonical parameters.
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static <T extends org.hipparchus.CalculusFieldElement<T>> |
meanToEccentric(T lM,
T ex,
T ey)
Computes the eccentric longitude argument from the mean longitude argument.
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FieldEquinoctialOrbit<T> |
removeRates()
Create a new instance such that
PositionAngleBased.hasRates() is false. |
FieldEquinoctialOrbit<T> |
shiftedBy(double dt)
Get a time-shifted instance.
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FieldEquinoctialOrbit<T> |
shiftedBy(T dt)
Get a time-shifted orbit.
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EquinoctialOrbit |
toOrbit()
Transforms the FieldOrbit instance into an Orbit instance.
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String |
toString()
Returns a string representation of this equinoctial parameters object.
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static <T extends org.hipparchus.CalculusFieldElement<T>> |
trueToEccentric(T lv,
T ex,
T ey)
Computes the eccentric longitude argument from the true longitude argument.
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fillHalfRow, fillHalfRow, fillHalfRow, fillHalfRow, fillHalfRow, fillHalfRow, getDate, getField, getFrame, getJacobianWrtCartesian, getJacobianWrtParameters, getKeplerianMeanMotion, getKeplerianPeriod, getMeanAnomalyDotWrtA, getMu, getOne, getPosition, getPosition, getPVCoordinates, getPVCoordinates, getPVCoordinates, getZero, hasNonKeplerianAcceleration, isEllipticalclone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, waitgetPositiondurationFrompublic FieldEquinoctialOrbit(T a, T ex, T ey, T hx, T hy, T l, PositionAngleType type, Frame frame, FieldAbsoluteDate<T> date, T mu) throws IllegalArgumentException
a - semi-major axis (m)ex - e cos(ω + Ω), first component of eccentricity vectorey - e sin(ω + Ω), second component of eccentricity vectorhx - tan(i/2) cos(Ω), first component of inclination vectorhy - tan(i/2) sin(Ω), second component of inclination vectorl - (M or E or v) + ω + Ω, mean, eccentric or true longitude argument (rad)type - type of longitude argumentframe - the frame in which the parameters are defined
(must be a pseudo-inertial frame)date - date of the orbital parametersmu - central attraction coefficient (m³/s²)IllegalArgumentException - if eccentricity is equal to 1 or larger or
if frame is not a pseudo-inertial framepublic FieldEquinoctialOrbit(T a, T ex, T ey, T hx, T hy, T l, T aDot, T exDot, T eyDot, T hxDot, T hyDot, T lDot, PositionAngleType type, Frame frame, FieldAbsoluteDate<T> date, T mu) throws IllegalArgumentException
a - semi-major axis (m)ex - e cos(ω + Ω), first component of eccentricity vectorey - e sin(ω + Ω), second component of eccentricity vectorhx - tan(i/2) cos(Ω), first component of inclination vectorhy - tan(i/2) sin(Ω), second component of inclination vectorl - (M or E or v) + ω + Ω, mean, eccentric or true longitude argument (rad)aDot - semi-major axis derivative (m/s)exDot - d(e cos(ω + Ω))/dt, first component of eccentricity vector derivativeeyDot - d(e sin(ω + Ω))/dt, second component of eccentricity vector derivativehxDot - d(tan(i/2) cos(Ω))/dt, first component of inclination vector derivativehyDot - d(tan(i/2) sin(Ω))/dt, second component of inclination vector derivativelDot - d(M or E or v) + ω + Ω)/dr, mean, eccentric or true longitude argument derivative (rad/s)type - type of longitude argumentframe - the frame in which the parameters are defined
(must be a pseudo-inertial frame)date - date of the orbital parametersmu - central attraction coefficient (m³/s²)IllegalArgumentException - if eccentricity is equal to 1 or larger or
if frame is not a pseudo-inertial framepublic FieldEquinoctialOrbit(TimeStampedFieldPVCoordinates<T> pvCoordinates, Frame frame, T mu) throws IllegalArgumentException
The acceleration provided in pvCoordinates is accessible using
FieldOrbit.getPVCoordinates() and FieldOrbit.getPVCoordinates(Frame). All other methods
use mu and the position to compute the acceleration, including
shiftedBy(CalculusFieldElement) and FieldOrbit.getPVCoordinates(FieldAbsoluteDate, Frame).
pvCoordinates - the position, velocity and accelerationframe - the frame in which are defined the FieldPVCoordinates
(must be a pseudo-inertial frame)mu - central attraction coefficient (m³/s²)IllegalArgumentException - if eccentricity is equal to 1 or larger or
if frame is not a pseudo-inertial framepublic FieldEquinoctialOrbit(FieldPVCoordinates<T> pvCoordinates, Frame frame, FieldAbsoluteDate<T> date, T mu) throws IllegalArgumentException
The acceleration provided in pvCoordinates is accessible using
FieldOrbit.getPVCoordinates() and FieldOrbit.getPVCoordinates(Frame). All other methods
use mu and the position to compute the acceleration, including
shiftedBy(CalculusFieldElement) and FieldOrbit.getPVCoordinates(FieldAbsoluteDate, Frame).
pvCoordinates - the position end velocityframe - the frame in which are defined the FieldPVCoordinates
(must be a pseudo-inertial frame)date - date of the orbital parametersmu - central attraction coefficient (m³/s²)IllegalArgumentException - if eccentricity is equal to 1 or larger or
if frame is not a pseudo-inertial framepublic FieldEquinoctialOrbit(FieldOrbit<T> op)
op - orbital parameters to copypublic FieldEquinoctialOrbit(org.hipparchus.Field<T> field, EquinoctialOrbit op)
Build a FieldEquinoctialOrbit from non-Field EquinoctialOrbit.
field - CalculusField to base object onop - non-field orbit with only "constant" termspublic OrbitType getType()
getType in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getA()
Note that the semi-major axis is considered negative for hyperbolic orbits.
getA in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getADot()
Note that the semi-major axis is considered negative for hyperbolic orbits.
If the orbit was created without derivatives, the value returned is null.
getADot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getEquinoctialEx()
getEquinoctialEx in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getEquinoctialExDot()
If the orbit was created without derivatives, the value returned is null.
getEquinoctialExDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getEquinoctialEy()
getEquinoctialEy in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getEquinoctialEyDot()
If the orbit was created without derivatives, the value returned is null.
getEquinoctialEyDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getHx()
getHx in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getHxDot()
If the orbit was created without derivatives, the value returned is null.
getHxDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getHy()
getHy in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getHyDot()
getHyDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getLv()
getLv in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getLvDot()
If the orbit was created without derivatives, the value returned is null.
getLvDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getLE()
getLE in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getLEDot()
If the orbit was created without derivatives, the value returned is null.
getLEDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getLM()
getLM in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getLMDot()
If the orbit was created without derivatives, the value returned is null.
getLMDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getL(PositionAngleType type)
type - type of the anglepublic T getLDot(PositionAngleType type)
type - type of the anglepublic boolean hasDerivatives()
hasDerivatives in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>FieldOrbit.getADot(),
FieldOrbit.getEquinoctialExDot(),
FieldOrbit.getEquinoctialEyDot(),
FieldOrbit.getHxDot(),
FieldOrbit.getHyDot(),
FieldOrbit.getLEDot(),
FieldOrbit.getLvDot(),
FieldOrbit.getLMDot(),
FieldOrbit.getEDot(),
FieldOrbit.getIDot()public static <T extends org.hipparchus.CalculusFieldElement<T>> T eccentricToTrue(T lE,
T ex,
T ey)
T - Type of the field elementslE - = E + ω + Ω eccentric longitude argument (rad)ex - first component of the eccentricity vectorey - second component of the eccentricity vectorpublic static <T extends org.hipparchus.CalculusFieldElement<T>> T trueToEccentric(T lv,
T ex,
T ey)
T - Type of the field elementslv - = v + ω + Ω true longitude argument (rad)ex - first component of the eccentricity vectorey - second component of the eccentricity vectorpublic static <T extends org.hipparchus.CalculusFieldElement<T>> T meanToEccentric(T lM,
T ex,
T ey)
T - Type of the field elementslM - = M + ω + Ω mean longitude argument (rad)ex - first component of the eccentricity vectorey - second component of the eccentricity vectorpublic static <T extends org.hipparchus.CalculusFieldElement<T>> T eccentricToMean(T lE,
T ex,
T ey)
T - Type of the field elementslE - = E + ω + Ω mean longitude argument (rad)ex - first component of the eccentricity vectorey - second component of the eccentricity vectorpublic T getE()
getE in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getEDot()
If the orbit was created without derivatives, the value returned is null.
getEDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getI()
If the orbit was created without derivatives, the value returned is null.
getI in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public T getIDot()
getIDot in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>protected org.hipparchus.geometry.euclidean.threed.FieldVector3D<T> initPosition()
initPosition in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>protected TimeStampedFieldPVCoordinates<T> initPVCoordinates()
initPVCoordinates in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>public FieldEquinoctialOrbit<T> shiftedBy(double dt)
shiftedBy in interface TimeShiftable<FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>>dt - time shift in secondspublic FieldEquinoctialOrbit<T> shiftedBy(T dt)
The orbit can be slightly shifted to close dates. This shift is based on a simple Keplerian model. It is not intended as a replacement for proper orbit and attitude propagation but should be sufficient for small time shifts or coarse accuracy.
shiftedBy in interface FieldTimeShiftable<FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>,T extends org.hipparchus.CalculusFieldElement<T>>shiftedBy in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>dt - time shift in secondsprotected T[][] computeJacobianMeanWrtCartesian()
Element jacobian[i][j] is the derivative of parameter i of the orbit with
respect to Cartesian coordinate j. This means each row correspond to one orbital parameter
whereas columns 0 to 5 correspond to the Cartesian coordinates x, y, z, xDot, yDot and zDot.
computeJacobianMeanWrtCartesian in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>FieldOrbit.computeJacobianEccentricWrtCartesian(),
FieldOrbit.computeJacobianTrueWrtCartesian()protected T[][] computeJacobianEccentricWrtCartesian()
Element jacobian[i][j] is the derivative of parameter i of the orbit with
respect to Cartesian coordinate j. This means each row correspond to one orbital parameter
whereas columns 0 to 5 correspond to the Cartesian coordinates x, y, z, xDot, yDot and zDot.
computeJacobianEccentricWrtCartesian in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>FieldOrbit.computeJacobianMeanWrtCartesian(),
FieldOrbit.computeJacobianTrueWrtCartesian()protected T[][] computeJacobianTrueWrtCartesian()
Element jacobian[i][j] is the derivative of parameter i of the orbit with
respect to Cartesian coordinate j. This means each row correspond to one orbital parameter
whereas columns 0 to 5 correspond to the Cartesian coordinates x, y, z, xDot, yDot and zDot.
computeJacobianTrueWrtCartesian in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>FieldOrbit.computeJacobianMeanWrtCartesian(),
FieldOrbit.computeJacobianEccentricWrtCartesian()public void addKeplerContribution(PositionAngleType type, T gm, T[] pDot)
This method is used by integration-based propagators to evaluate the part of Keplerian motion to evolution of the orbital state.
addKeplerContribution in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>type - type of the position angle in the stategm - attraction coefficient to usepDot - array containing orbital state derivatives to update (the Keplerian
part must be added to the array components, as the array may already
contain some non-zero elements corresponding to non-Keplerian parts)public String toString()
public PositionAngleType getCachedPositionAngleType()
PositionAngleType.getCachedPositionAngleType in interface PositionAngleBasedpublic boolean hasRates()
hasRates in interface PositionAngleBasedpublic FieldEquinoctialOrbit<T> removeRates()
PositionAngleBased.hasRates() is false.removeRates in interface PositionAngleBasedpublic EquinoctialOrbit toOrbit()
toOrbit in class FieldOrbit<T extends org.hipparchus.CalculusFieldElement<T>>Copyright © 2002-2023 CS GROUP. All rights reserved.