org.orekit.orbits

Class FieldKeplerianAnomalyUtility

java.lang.Object

org.orekit.orbits.FieldKeplerianAnomalyUtility

public class FieldKeplerianAnomalyUtility
extends Object

Utility methods for converting between different Keplerian anomalies.

Author:

Luc Maisonobe, Andrea Antolino, Andrew Goetz

Method Summary

Modifier and Type	Method and Description
static <T extends org.hipparchus.CalculusFieldElement<T>> T	ellipticEccentricToMean(T e, T E) Computes the elliptic mean anomaly from the elliptic eccentric anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	ellipticEccentricToTrue(T e, T E) Computes the elliptic true anomaly from the elliptic eccentric anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	ellipticMeanToEccentric(T e, T M) Computes the elliptic eccentric anomaly from the elliptic mean anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	ellipticMeanToTrue(T e, T M) Computes the elliptic true anomaly from the elliptic mean anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	ellipticTrueToEccentric(T e, T v) Computes the elliptic eccentric anomaly from the elliptic true anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	ellipticTrueToMean(T e, T v) Computes the elliptic mean anomaly from the elliptic true anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	hyperbolicEccentricToMean(T e, T H) Computes the hyperbolic mean anomaly from the hyperbolic eccentric anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	hyperbolicEccentricToTrue(T e, T H) Computes the hyperbolic true anomaly from the hyperbolic eccentric anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	hyperbolicMeanToEccentric(T e, T M) Computes the hyperbolic eccentric anomaly from the hyperbolic mean anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	hyperbolicMeanToTrue(T e, T M) Computes the hyperbolic true anomaly from the hyperbolic mean anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	hyperbolicTrueToEccentric(T e, T v) Computes the hyperbolic eccentric anomaly from the hyperbolic true anomaly.
static <T extends org.hipparchus.CalculusFieldElement<T>> T	hyperbolicTrueToMean(T e, T v) Computes the hyperbolic mean anomaly from the hyperbolic true anomaly.

Methods inherited from class java.lang.Object

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

Method Detail

ellipticMeanToTrue

public static <T extends org.hipparchus.CalculusFieldElement<T>> T ellipticMeanToTrue(T e,
                                                                                      T M)

Computes the elliptic true anomaly from the elliptic mean anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity such that 0 ≤ e < 1

M - elliptic mean anomaly (rad)

Returns:

elliptic true anomaly (rad)

ellipticTrueToMean

public static <T extends org.hipparchus.CalculusFieldElement<T>> T ellipticTrueToMean(T e,
                                                                                      T v)

Computes the elliptic mean anomaly from the elliptic true anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity such that 0 ≤ e < 1

v - elliptic true anomaly (rad)

Returns:

elliptic mean anomaly (rad)

ellipticEccentricToTrue

public static <T extends org.hipparchus.CalculusFieldElement<T>> T ellipticEccentricToTrue(T e,
                                                                                           T E)

Computes the elliptic true anomaly from the elliptic eccentric anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity such that 0 ≤ e < 1

E - elliptic eccentric anomaly (rad)

Returns:

elliptic true anomaly (rad)

ellipticTrueToEccentric

public static <T extends org.hipparchus.CalculusFieldElement<T>> T ellipticTrueToEccentric(T e,
                                                                                           T v)

Computes the elliptic eccentric anomaly from the elliptic true anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity such that 0 ≤ e < 1

v - elliptic true anomaly (rad)

Returns:

elliptic eccentric anomaly (rad)

ellipticMeanToEccentric

public static <T extends org.hipparchus.CalculusFieldElement<T>> T ellipticMeanToEccentric(T e,
                                                                                           T M)

Computes the elliptic eccentric anomaly from the elliptic mean anomaly.

The algorithm used here for solving hyperbolic Kepler equation is from Odell, A.W., Gooding, R.H. "Procedures for solving Kepler's equation." Celestial Mechanics 38, 307–334 (1986). https://doi.org/10.1007/BF01238923

Type Parameters:

T - field type

Parameters:

e - eccentricity such that 0 ≤ e < 1

M - elliptic mean anomaly (rad)

Returns:

elliptic eccentric anomaly (rad)

ellipticEccentricToMean

public static <T extends org.hipparchus.CalculusFieldElement<T>> T ellipticEccentricToMean(T e,
                                                                                           T E)

Computes the elliptic mean anomaly from the elliptic eccentric anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity such that 0 ≤ e < 1

E - elliptic eccentric anomaly (rad)

Returns:

elliptic mean anomaly (rad)

hyperbolicMeanToTrue

public static <T extends org.hipparchus.CalculusFieldElement<T>> T hyperbolicMeanToTrue(T e,
                                                                                        T M)

Computes the hyperbolic true anomaly from the hyperbolic mean anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity > 1

M - hyperbolic mean anomaly

Returns:

hyperbolic true anomaly (rad)

hyperbolicTrueToMean

public static <T extends org.hipparchus.CalculusFieldElement<T>> T hyperbolicTrueToMean(T e,
                                                                                        T v)

Computes the hyperbolic mean anomaly from the hyperbolic true anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity > 1

v - hyperbolic true anomaly (rad)

Returns:

hyperbolic mean anomaly

hyperbolicEccentricToTrue

public static <T extends org.hipparchus.CalculusFieldElement<T>> T hyperbolicEccentricToTrue(T e,
                                                                                             T H)

Computes the hyperbolic true anomaly from the hyperbolic eccentric anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity > 1

H - hyperbolic eccentric anomaly

Returns:

hyperbolic true anomaly (rad)

hyperbolicTrueToEccentric

public static <T extends org.hipparchus.CalculusFieldElement<T>> T hyperbolicTrueToEccentric(T e,
                                                                                             T v)

Computes the hyperbolic eccentric anomaly from the hyperbolic true anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity > 1

v - hyperbolic true anomaly (rad)

Returns:

hyperbolic eccentric anomaly

hyperbolicMeanToEccentric

public static <T extends org.hipparchus.CalculusFieldElement<T>> T hyperbolicMeanToEccentric(T e,
                                                                                             T M)

Computes the hyperbolic eccentric anomaly from the hyperbolic mean anomaly.

The algorithm used here for solving hyperbolic Kepler equation is from Gooding, R.H., Odell, A.W. "The hyperbolic Kepler equation (and the elliptic equation revisited)." Celestial Mechanics 44, 267–282 (1988). https://doi.org/10.1007/BF01235540

Type Parameters:

T - field type

Parameters:

e - eccentricity > 1

M - hyperbolic mean anomaly

Returns:

hyperbolic eccentric anomaly

hyperbolicEccentricToMean

public static <T extends org.hipparchus.CalculusFieldElement<T>> T hyperbolicEccentricToMean(T e,
                                                                                             T H)

Computes the hyperbolic mean anomaly from the hyperbolic eccentric anomaly.

Type Parameters:

T - field type

Parameters:

e - eccentricity > 1

H - hyperbolic eccentric anomaly

Returns:

hyperbolic mean anomaly