java.lang.Object
- org.orekit.orbits.KeplerianAnomalyUtility

```
public final class KeplerianAnomalyUtility
extends Object
```
Utility methods for converting between different Keplerian anomalies.

Author:

Luc Maisonobe, Andrew Goetz, Alberto Fossa'

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static double`	`convertAnomaly(PositionAngleType oldType, double anomaly, double e, PositionAngleType newType)`	Convert anomaly.
`static double`	`ellipticEccentricToMean(double e, double E)`	Computes the elliptic mean anomaly from the elliptic eccentric anomaly.
`static double`	`ellipticEccentricToTrue(double e, double E)`	Computes the elliptic true anomaly from the elliptic eccentric anomaly.
`static double`	`ellipticMeanToEccentric(double e, double M)`	Computes the elliptic eccentric anomaly from the elliptic mean anomaly.
`static double`	`ellipticMeanToEccentricDifference(double s0, double c0, double deltaM)`	Computes the difference in elliptic eccentric anomaly given that in elliptic mean anomaly.
`static double`	`ellipticMeanToTrue(double e, double M)`	Computes the elliptic true anomaly from the elliptic mean anomaly.
`static double`	`ellipticTrueToEccentric(double e, double v)`	Computes the elliptic eccentric anomaly from the elliptic true anomaly.
`static double`	`ellipticTrueToMean(double e, double v)`	Computes the elliptic mean anomaly from the elliptic true anomaly.
`static double`	`hyperbolicEccentricToMean(double e, double H)`	Computes the hyperbolic mean anomaly from the hyperbolic eccentric anomaly.
`static double`	`hyperbolicEccentricToTrue(double e, double H)`	Computes the hyperbolic true anomaly from the hyperbolic eccentric anomaly.
`static double`	`hyperbolicMeanToEccentric(double e, double M)`	Computes the hyperbolic eccentric anomaly from the hyperbolic mean anomaly.
`static double`	`hyperbolicMeanToEccentricDifference(double s0, double c0, double deltaN)`	Computes the difference in hyperbolic eccentric anomaly given that in hyperbolic mean anomaly.
`static double`	`hyperbolicMeanToTrue(double e, double M)`	Computes the hyperbolic true anomaly from the hyperbolic mean anomaly.
`static double`	`hyperbolicTrueToEccentric(double e, double v)`	Computes the hyperbolic eccentric anomaly from the hyperbolic true anomaly.
`static double`	`hyperbolicTrueToMean(double e, double 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 double ellipticMeanToTrue(double e,
                                        double M)
```
    Computes the elliptic true anomaly from the elliptic mean anomaly.
    
    Parameters:
    
    e - eccentricity such that 0 ≤ e < 1
    
    M - elliptic mean anomaly (rad)
    
    Returns:
    
    elliptic true anomaly (rad)
  - ellipticTrueToMean
```
public static double ellipticTrueToMean(double e,
                                        double v)
```
    Computes the elliptic mean anomaly from the elliptic true anomaly.
    
    Parameters:
    
    e - eccentricity such that 0 ≤ e < 1
    
    v - elliptic true anomaly (rad)
    
    Returns:
    
    elliptic mean anomaly (rad)
  - ellipticEccentricToTrue
```
public static double ellipticEccentricToTrue(double e,
                                             double E)
```
    Computes the elliptic true anomaly from the elliptic eccentric anomaly.
    
    Parameters:
    
    e - eccentricity such that 0 ≤ e < 1
    
    E - elliptic eccentric anomaly (rad)
    
    Returns:
    
    elliptic true anomaly (rad)
  - ellipticTrueToEccentric
```
public static double ellipticTrueToEccentric(double e,
                                             double v)
```
    Computes the elliptic eccentric anomaly from the elliptic true anomaly.
    
    Parameters:
    
    e - eccentricity such that 0 ≤ e < 1
    
    v - elliptic true anomaly (rad)
    
    Returns:
    
    elliptic eccentric anomaly (rad)
  - ellipticMeanToEccentric
```
public static double ellipticMeanToEccentric(double e,
                                             double 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
    
    Parameters:
    
    e - eccentricity such that 0 ≤ e < 1
    
    M - elliptic mean anomaly (rad)
    
    Returns:
    
    elliptic eccentric anomaly (rad)
  - ellipticEccentricToMean
```
public static double ellipticEccentricToMean(double e,
                                             double E)
```
    Computes the elliptic mean anomaly from the elliptic eccentric anomaly.
    
    Parameters:
    
    e - eccentricity such that 0 ≤ e < 1
    
    E - elliptic eccentric anomaly (rad)
    
    Returns:
    
    elliptic mean anomaly (rad)
  - hyperbolicMeanToTrue
```
public static double hyperbolicMeanToTrue(double e,
                                          double M)
```
    Computes the hyperbolic true anomaly from the hyperbolic mean anomaly.
    
    Parameters:
    
    e - eccentricity > 1
    
    M - hyperbolic mean anomaly
    
    Returns:
    
    hyperbolic true anomaly (rad)
  - hyperbolicTrueToMean
```
public static double hyperbolicTrueToMean(double e,
                                          double v)
```
    Computes the hyperbolic mean anomaly from the hyperbolic true anomaly.
    
    Parameters:
    
    e - eccentricity > 1
    
    v - hyperbolic true anomaly (rad)
    
    Returns:
    
    hyperbolic mean anomaly
  - hyperbolicEccentricToTrue
```
public static double hyperbolicEccentricToTrue(double e,
                                               double H)
```
    Computes the hyperbolic true anomaly from the hyperbolic eccentric anomaly.
    
    Parameters:
    
    e - eccentricity > 1
    
    H - hyperbolic eccentric anomaly
    
    Returns:
    
    hyperbolic true anomaly (rad)
  - hyperbolicTrueToEccentric
```
public static double hyperbolicTrueToEccentric(double e,
                                               double v)
```
    Computes the hyperbolic eccentric anomaly from the hyperbolic true anomaly.
    
    Parameters:
    
    e - eccentricity > 1
    
    v - hyperbolic true anomaly (rad)
    
    Returns:
    
    hyperbolic eccentric anomaly
  - hyperbolicMeanToEccentric
```
public static double hyperbolicMeanToEccentric(double e,
                                               double 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
    
    Parameters:
    
    e - eccentricity > 1
    
    M - hyperbolic mean anomaly
    
    Returns:
    
    hyperbolic eccentric anomaly
  - hyperbolicEccentricToMean
```
public static double hyperbolicEccentricToMean(double e,
                                               double H)
```
    Computes the hyperbolic mean anomaly from the hyperbolic eccentric anomaly.
    
    Parameters:
    
    e - eccentricity > 1
    
    H - hyperbolic eccentric anomaly
    
    Returns:
    
    hyperbolic mean anomaly
  - convertAnomaly
```
public static double convertAnomaly(PositionAngleType oldType,
                                    double anomaly,
                                    double e,
                                    PositionAngleType newType)
```
    Convert anomaly.
    
    Parameters:
    
    oldType - old position angle type
    
    anomaly - old value for anomaly
    
    e - eccentricity
    
    newType - new position angle type
    
    Returns:
    
    converted anomaly
    
    Since:
    
    12.2
  - ellipticMeanToEccentricDifference
```
public static double ellipticMeanToEccentricDifference(double s0,
                                                       double c0,
                                                       double deltaM)
```
    Computes the difference in elliptic eccentric anomaly given that in elliptic mean anomaly.
    This function solves Eq. 4.43 in Battin (1999).
    
    Parameters:
    
    s0 - intermediate quantity s0
    
    c0 - intermediate quantity c0
    
    deltaM - difference in elliptic mean anomaly
    
    Returns:
    
    difference in elliptic eccentric anomaly
  - hyperbolicMeanToEccentricDifference
```
public static double hyperbolicMeanToEccentricDifference(double s0,
                                                         double c0,
                                                         double deltaN)
```
    Computes the difference in hyperbolic eccentric anomaly given that in hyperbolic mean anomaly.
    This function solves Eq. 4.64 in Battin (1999).
    
    Parameters:
    
    s0 - intermediate quantity s0
    
    c0 - intermediate quantity c0
    
    deltaN - difference in hyperbolic mean anomaly
    
    Returns:
    
    difference in hyperbolic eccentric anomaly
    
    Since:
    
    14.0

Class KeplerianAnomalyUtility

Method Summary

Methods inherited from class java.lang.Object

Method Detail

ellipticMeanToTrue

ellipticTrueToMean

ellipticEccentricToTrue

ellipticTrueToEccentric

ellipticMeanToEccentric

ellipticEccentricToMean

hyperbolicMeanToTrue

hyperbolicTrueToMean

hyperbolicEccentricToTrue

hyperbolicTrueToEccentric

hyperbolicMeanToEccentric

hyperbolicEccentricToMean

convertAnomaly

ellipticMeanToEccentricDifference

hyperbolicMeanToEccentricDifference