TopocentricFrame (patrimoine de base SIRIUS 4.15 API)

java.lang.Object
- fr.cnes.sirius.patrius.frames.Frame
- - fr.cnes.sirius.patrius.frames.TopocentricFrame

All Implemented Interfaces:

PVCoordinatesProvider, Serializable
```
public final class TopocentricFrame
extends Frame
```
Topocentric frame.
Frame associated to a position at the surface of a body shape.

Author:

Véronique Pommier-Maurussane

See Also:

Serialized Form

Constructor Summary

Constructors
Constructor and Description
`TopocentricFrame(BodyPoint origin, double frameOrientation, String name)` Constructor with user-defined frame orientation and zenith direction (Z-axis) aligned with the direction normal to shape at entered frame origin position.
`TopocentricFrame(BodyPoint origin, String name)` This constructor builds an East oriented topocentric frame, whose zenith direction (Z-axis) is aligned with the direction normal to shape at entered frame origin position.
`TopocentricFrame(BodyPoint origin, Vector3D zenith, double frameOrientation, String name)` Constructor with user-defined zenith direction and frame orientation.
`TopocentricFrame(BodyPoint origin, Vector3D zenith, String name)` This constructor builds an East oriented topocentric frame with user-defined zenith direction.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`BodyPoint`	`computeLimitVisibilityPoint(double radius, double azimuth, double elevation)` Compute the limit visibility point for a satellite in a given direction.
`double`	`getAzimuth(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the azimuth of a point with regards to the topocentric frame center point.
`double`	`getAzimuthRate(PVCoordinates extPV, Frame frame, AbsoluteDate date)` Getter for the azimuth rate of a point.
`Vector3D`	`getDAzimuth(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the azimuth derivative of a point wrt the local point (dAzimuth) express in the specified frame.
`Vector3D`	`getDElevation(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the elevation derivative of a point wrt the local point (dElevation) express in the specified frame.
`Vector3D`	`getDXangleCardan(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the Cardan x angle derivative of a point wrt the local point (dXangleCardan) express in the specified frame.
`Vector3D`	`getDYangleCardan(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the Cardan y angle derivative of a point wrt the local point (dYangleCardan) express in the specified frame.
`Vector3D`	`getEast()` Getter for the east direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
`double`	`getElevation(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the elevation of a point with regards to the local point.
`double`	`getElevationRate(PVCoordinates extPV, Frame frame, AbsoluteDate date)` Getter for the elevation rate of a point.
`BodyPoint`	`getFrameOrigin()` Getter for the frame origin point.
`Vector3D`	`getNadir()` Getter for the nadir direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
`Vector3D`	`getNorth()` Getter for the north direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
`double`	`getOrientation()` Getter for the oriented angle between the local north and the x axis (trigowise).
`double`	`getRange(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the range of a point with regards to the topocentric frame center point.
`double`	`getRangeRate(PVCoordinates extPV, Frame frame, AbsoluteDate date)` Getter for the range rate of a point with regards to the topocentric frame center point.
`Vector3D`	`getSouth()` Getter for the south direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
`Vector3D`	`getWest()` Getter for the west direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
`double`	`getXangleCardan(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the Cardan x angle of a point.
`double`	`getXangleCardanRate(PVCoordinates extPV, Frame frame, AbsoluteDate date)` Getter for the Cardan x angle rate.
`double`	`getYangleCardan(Vector3D extPoint, Frame frame, AbsoluteDate date)` Getter for the Cardan y angle of a point with regards to the projection point on the plane defined by the zenith and the west axis.
`double`	`getYangleCardanRate(PVCoordinates extPV, Frame frame, AbsoluteDate date)` Getter for the Cardan y angle rate.
`Vector3D`	`getZenith()` Getter for the zenith direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
`BodyPoint`	`pointAtDistance(double azimuth, double elevation, double distance)` Compute the point observed from the station at some specified distance.
`Vector3D`	`transformFromCardanToPosition(CardanMountPosition cardan)` Transform a Cardan mounting into Cartesian coordinates (only position) expressed in this local topocentric frame.
`PVCoordinates`	`transformFromCardanToPV(CardanMountPV cardan)` Transform a Cardan mounting into Cartesian coordinates (position and velocity) expressed in this local topocentric frame.
`CardanMountPosition`	`transformFromPositionToCardan(Vector3D extPoint, Frame frame, AbsoluteDate date)` Transform a Cartesian position coordinates into Cardan mounting in this local topocentric frame.
`TopocentricPosition`	`transformFromPositionToTopocentric(Vector3D extPoint, Frame frame, AbsoluteDate date)` Transform a Cartesian position coordinates into topocentric coordinates in this local topocentric frame.
`CardanMountPV`	`transformFromPVToCardan(PVCoordinates extPV, Frame frame, AbsoluteDate date)` Transform a Cartesian position coordinates into Cardan mounting in this local topocentric frame.
`TopocentricPV`	`transformFromPVToTopocentric(PVCoordinates extPV, Frame frame, AbsoluteDate date)` Transform a Cartesian position and velocity coordinates into topocentric coordinates in this local topocentric frame.
`Vector3D`	`transformFromTopocentricToPosition(TopocentricPosition topoCoord)` Transform topocentric set of coordinates frame into Cartesian position coordinates expressed in this local topocentric.
`PVCoordinates`	`transformFromTopocentricToPV(TopocentricPV topoCoord)` Transform topocentric set of coordinates into Cartesian position and velocity coordinates expressed in this local topocentric frame.

Methods inherited from class fr.cnes.sirius.patrius.frames.Frame
getAncestor, getDepth, getFirstCommonPseudoInertialAncestor, getFirstPseudoInertialAncestor, getFrozenFrame, getName, getNativeFrame, getParent, getPVCoordinates, getRoot, getTransformJacobian, getTransformProvider, getTransformTo, getTransformTo, getTransformTo, getTransformTo, isChildOf, isPseudoInertial, setName, setReferential, toString

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - TopocentricFrame
```
public TopocentricFrame(BodyPoint origin,
                        String name)
```
    This constructor builds an East oriented topocentric frame, whose zenith direction (Z-axis) is aligned with the direction normal to shape at entered frame origin position. Its axis are (x = East, y = North, z = Zenith).
    
    Parameters:
    
    origin - point on which the Topocentric frame is centered
    
    name - the string representation
  - TopocentricFrame
```
public TopocentricFrame(BodyPoint origin,
                        Vector3D zenith,
                        String name)
```
    This constructor builds an East oriented topocentric frame with user-defined zenith direction. Its axis are (x = East, y = North, z = Zenith).
    
    Parameters:
    
    origin - point on which the Topocentric frame is centered (its normal direction is not used)
    
    zenith - local normal (expressed in body frame) used as topocentric zenith
    
    name - the string representation
  - TopocentricFrame
```
public TopocentricFrame(BodyPoint origin,
                        double frameOrientation,
                        String name)
```
    Constructor with user-defined frame orientation and zenith direction (Z-axis) aligned with the direction normal to shape at entered frame origin position.
    
    Parameters:
    
    origin - point on which the Topocentric frame is centered
    
    frameOrientation - oriented angle (trigowise, radian) between the local North and the Frame's x axis.
    Example :
    If "Reference Azimuth" is aligned with the local North of a local topocentric frame, then a frameOrientation of -0.785 (=> -45°) means that the x axis of the Frame points to North-East
    
    name - the string representation
  - TopocentricFrame
```
public TopocentricFrame(BodyPoint origin,
                        Vector3D zenith,
                        double frameOrientation,
                        String name)
```
    Constructor with user-defined zenith direction and frame orientation. Its axis are (x = East, y = North, z = Zenith).
    
    Parameters:
    
    origin - point on which the Topocentric frame is centered (its normal direction is not used)
    
    zenith - local normal (expressed in body frame) used as topocentric zenith
    
    frameOrientation - oriented angle (trigowise, radian) between the local North and the Frame's x axis.
    Example :
    If "Reference Azimuth" is aligned with the local North of a local topocentric frame, then a frameOrientation of -0.785 (=> -45°) means that the x axis of the Frame points to North-East
    
    name - the string representation
- Method Detail
  - getOrientation
```
public double getOrientation()
```
    Getter for the oriented angle between the local north and the x axis (trigowise).
    
    Returns:
    
    the frame orientation
  - getFrameOrigin
```
public BodyPoint getFrameOrigin()
```
    Getter for the frame origin point.
    Warning: Make sure to distinguish the direction normal to shape at this origin point and the topocentric zenith direction (Z-axis) which can be retrieved invoking the getter getZenith().
    
    Returns:
    
    the frame origin point
  - getZenith
```
public Vector3D getZenith()
```
    Getter for the zenith direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
    Warning: Be aware that the zenith direction is not necessarily aligned with the direction normal to shape at the frame origin point.
    
    Returns:
    
    unit vector in the zenith direction
    
    See Also:
    
    getNadir()
  - getNadir
```
public Vector3D getNadir()
```
    Getter for the nadir direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
    The nadir direction is defined as the opposite to zenith direction.
    
    Returns:
    
    unit vector in the nadir direction
    
    See Also:
    
    getZenith()
  - getNorth
```
public Vector3D getNorth()
```
    Getter for the north direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
    The north direction is defined in the horizontal plane (normal to zenith direction) and following the local meridian.
    
    Returns:
    
    unit vector in the north direction
    
    See Also:
    
    getSouth()
  - getSouth
```
public Vector3D getSouth()
```
    Getter for the south direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
    The south direction is the opposite of north direction.
    
    Returns:
    
    unit vector in the south direction
    
    See Also:
    
    getNorth()
  - getEast
```
public Vector3D getEast()
```
    Getter for the east direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
    The east direction is defined in the horizontal plane in order to complete direct triangle (east, north, zenith).
    
    Returns:
    
    unit vector in the east direction
    
    See Also:
    
    getWest()
  - getWest
```
public Vector3D getWest()
```
    Getter for the west direction of topocentric frame, expressed in the body frame of body shape to which the frame center point is attached.
    The west direction is the opposite of east direction.
    
    Returns:
    
    unit vector in the west direction
    
    See Also:
    
    getEast()
  - getElevation
```
public double getElevation(Vector3D extPoint,
                           Frame frame,
                           AbsoluteDate date)
                    throws PatriusException
```
    Getter for the elevation of a point with regards to the local point.
    The elevation is the angle between the local horizontal and the direction from local point to given point.
    
    Parameters:
    
    extPoint - point for which elevation shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    elevation of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getDElevation
```
public Vector3D getDElevation(Vector3D extPoint,
                              Frame frame,
                              AbsoluteDate date)
                       throws PatriusException
```
    Getter for the elevation derivative of a point wrt the local point (dElevation) express in the specified frame.
    
    Parameters:
    
    extPoint - point for which elevation shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    the elevation derivative of a point wrt the local point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getElevationRate
```
public double getElevationRate(PVCoordinates extPV,
                               Frame frame,
                               AbsoluteDate date)
                        throws PatriusException
```
    Getter for the elevation rate of a point.
    
    Parameters:
    
    extPV - point for which elevation rate shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    elevation rate of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getAzimuth
```
public double getAzimuth(Vector3D extPoint,
                         Frame frame,
                         AbsoluteDate date)
                  throws PatriusException
```
    Getter for the azimuth of a point with regards to the topocentric frame center point.
    The azimuth is the angle between the North direction at local point and the projection in local horizontal plane of the direction from local point to given point. Azimuth angles are counted clockwise, i.e positive towards the East (range [0; 2PI]).
    
    Parameters:
    
    extPoint - point for which azimuth shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    azimuth of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getDAzimuth
```
public Vector3D getDAzimuth(Vector3D extPoint,
                            Frame frame,
                            AbsoluteDate date)
                     throws PatriusException
```
    Getter for the azimuth derivative of a point wrt the local point (dAzimuth) express in the specified frame.
    
    Parameters:
    
    extPoint - point for which elevation shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    the azimuth derivative of a point wrt the local point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getAzimuthRate
```
public double getAzimuthRate(PVCoordinates extPV,
                             Frame frame,
                             AbsoluteDate date)
                      throws PatriusException
```
    Getter for the azimuth rate of a point.
    
    Parameters:
    
    extPV - point for which the azimuth rate shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    azimuth rate of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getXangleCardan
```
public double getXangleCardan(Vector3D extPoint,
                              Frame frame,
                              AbsoluteDate date)
                       throws PatriusException
```
    Getter for the Cardan x angle of a point.
    The x angle is angle of the rotation of the mounting around local North axis, this angle is between -PI and PI and counting clockwise. See Spacefight Dynamics, Part I, chapter 10.4.5.2.
    
    Parameters:
    
    extPoint - point for which the x angle shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    x angle of the point.
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getDXangleCardan
```
public Vector3D getDXangleCardan(Vector3D extPoint,
                                 Frame frame,
                                 AbsoluteDate date)
                          throws PatriusException
```
    Getter for the Cardan x angle derivative of a point wrt the local point (dXangleCardan) express in the specified frame.
    
    Parameters:
    
    extPoint - point for which elevation shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    the Cardan x angle derivative of a point wrt the local point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getXangleCardanRate
```
public double getXangleCardanRate(PVCoordinates extPV,
                                  Frame frame,
                                  AbsoluteDate date)
                           throws PatriusException
```
    Getter for the Cardan x angle rate. See Spaceflight Dynamics, Part I, chapter 10.4.5.2.
    
    Parameters:
    
    extPV - point for which the x angle rate shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    x angle rate of the point.
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getYangleCardan
```
public double getYangleCardan(Vector3D extPoint,
                              Frame frame,
                              AbsoluteDate date)
                       throws PatriusException
```
    Getter for the Cardan y angle of a point with regards to the projection point on the plane defined by the zenith and the west axis.
    The y angle is angle of the rotation of the mounting around y'. Y' is the image of West axis by the rotation of angle x around North axis, this angle is between -PI/2 and PI/2 and oriented by y'. See Spaceflight Dynamics, Part I, chapter 10.4.5.2.
    
    Parameters:
    
    extPoint - point for which the y angle shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    y angle of the point.
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getDYangleCardan
```
public Vector3D getDYangleCardan(Vector3D extPoint,
                                 Frame frame,
                                 AbsoluteDate date)
                          throws PatriusException
```
    Getter for the Cardan y angle derivative of a point wrt the local point (dYangleCardan) express in the specified frame.
    
    Parameters:
    
    extPoint - point for which elevation shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    the Cardan y angle derivative of a point wrt the local point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getYangleCardanRate
```
public double getYangleCardanRate(PVCoordinates extPV,
                                  Frame frame,
                                  AbsoluteDate date)
                           throws PatriusException
```
    Getter for the Cardan y angle rate. See Spaceflight Dynamics, Part I, chapter 10.4.5.2.
    
    Parameters:
    
    extPV - point for which the y angle rate shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    y angle rate of the point.
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getRange
```
public double getRange(Vector3D extPoint,
                       Frame frame,
                       AbsoluteDate date)
                throws PatriusException
```
    Getter for the range of a point with regards to the topocentric frame center point.
    
    Parameters:
    
    extPoint - point for which range shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    range (distance) of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - getRangeRate
```
public double getRangeRate(PVCoordinates extPV,
                           Frame frame,
                           AbsoluteDate date)
                    throws PatriusException
```
    Getter for the range rate of a point with regards to the topocentric frame center point.
    
    Parameters:
    
    extPV - point/velocity for which range rate shall be computed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    range rate of the point (positive if point departs from frame)
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - transformFromPositionToTopocentric
```
public TopocentricPosition transformFromPositionToTopocentric(Vector3D extPoint,
                                                              Frame frame,
                                                              AbsoluteDate date)
                                                       throws PatriusException
```
    Transform a Cartesian position coordinates into topocentric coordinates in this local topocentric frame.
    
    Parameters:
    
    extPoint - point in Cartesian coordinates which shall be transformed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    topocentic coordinates of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - transformFromPVToTopocentric
```
public TopocentricPV transformFromPVToTopocentric(PVCoordinates extPV,
                                                  Frame frame,
                                                  AbsoluteDate date)
                                           throws PatriusException
```
    Transform a Cartesian position and velocity coordinates into topocentric coordinates in this local topocentric frame.
    
    Parameters:
    
    extPV - point in Cartesian coordinates which shall be transformed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    topocentic coordinates of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - transformFromPositionToCardan
```
public CardanMountPosition transformFromPositionToCardan(Vector3D extPoint,
                                                         Frame frame,
                                                         AbsoluteDate date)
                                                  throws PatriusException
```
    Transform a Cartesian position coordinates into Cardan mounting in this local topocentric frame.
    
    Parameters:
    
    extPoint - point in Cartesian coordinates which shall be transformed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    Cardan mounting of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - transformFromPVToCardan
```
public CardanMountPV transformFromPVToCardan(PVCoordinates extPV,
                                             Frame frame,
                                             AbsoluteDate date)
                                      throws PatriusException
```
    Transform a Cartesian position coordinates into Cardan mounting in this local topocentric frame.
    
    Parameters:
    
    extPV - point in Cartesian coordinates which shall be transformed
    
    frame - frame in which the point is defined
    
    date - computation date
    
    Returns:
    
    Cardan mounting of the point
    
    Throws:
    
    PatriusException - if frames transformations cannot be computed
  - transformFromTopocentricToPosition
```
public Vector3D transformFromTopocentricToPosition(TopocentricPosition topoCoord)
```
    Transform topocentric set of coordinates frame into Cartesian position coordinates expressed in this local topocentric.
    
    Parameters:
    
    topoCoord - point in topocentric coordinates which shall be transformed
    
    Returns:
    
    cartesian coordinates of the point (only the position)
  - transformFromTopocentricToPV
```
public PVCoordinates transformFromTopocentricToPV(TopocentricPV topoCoord)
```
    Transform topocentric set of coordinates into Cartesian position and velocity coordinates expressed in this local topocentric frame.
    
    Parameters:
    
    topoCoord - point in topocentric coordinates which shall be transformed
    
    Returns:
    
    cartesian coordinates of the point (position and velocity)
  - transformFromCardanToPosition
```
public Vector3D transformFromCardanToPosition(CardanMountPosition cardan)
```
    Transform a Cardan mounting into Cartesian coordinates (only position) expressed in this local topocentric frame.
    
    Parameters:
    
    cardan - Cardan mounting which shall be transformed
    
    Returns:
    
    cartesian coordinates (only the position)
  - transformFromCardanToPV
```
public PVCoordinates transformFromCardanToPV(CardanMountPV cardan)
```
    Transform a Cardan mounting into Cartesian coordinates (position and velocity) expressed in this local topocentric frame.
    
    Parameters:
    
    cardan - Cardan mounting which shall be transformed
    
    Returns:
    
    cartesian coordinates (position and velocity)
  - computeLimitVisibilityPoint
```
public BodyPoint computeLimitVisibilityPoint(double radius,
                                             double azimuth,
                                             double elevation)
                                      throws PatriusException
```
    Compute the limit visibility point for a satellite in a given direction.
    This method can be used to compute visibility circles around ground stations for example, using a simple loop on azimuth, with either a fixed elevation or an elevation that depends on azimuth to take ground masks into account.
    
    Parameters:
    
    radius - satellite distance to Earth center
    
    azimuth - pointing azimuth from station
    
    elevation - pointing elevation from station
    
    Returns:
    
    limit visibility point for the satellite
    
    Throws:
    
    PatriusException - if point cannot be found
  - pointAtDistance
```
public BodyPoint pointAtDistance(double azimuth,
                                 double elevation,
                                 double distance)
                          throws PatriusException
```
    Compute the point observed from the station at some specified distance.
    
    Parameters:
    
    azimuth - pointing azimuth from station
    
    elevation - pointing elevation from station
    
    distance - distance to station
    
    Returns:
    
    observed point
    
    Throws:
    
    PatriusException - if point cannot be computed

Class TopocentricFrame

Constructor Summary

Method Summary

Methods inherited from class fr.cnes.sirius.patrius.frames.Frame

Methods inherited from class java.lang.Object

Constructor Detail

TopocentricFrame

TopocentricFrame

TopocentricFrame

TopocentricFrame

Method Detail

getOrientation

getFrameOrigin

getZenith

getNadir

getNorth

getSouth

getEast

getWest

getElevation

getDElevation

getElevationRate

getAzimuth

getDAzimuth

getAzimuthRate

getXangleCardan

getDXangleCardan

getXangleCardanRate

getYangleCardan

getDYangleCardan

getYangleCardanRate

getRange

getRangeRate

transformFromPositionToTopocentric

transformFromPVToTopocentric

transformFromPositionToCardan

transformFromPVToCardan

transformFromTopocentricToPosition

transformFromTopocentricToPV

transformFromCardanToPosition

transformFromCardanToPV

computeLimitVisibilityPoint

pointAtDistance