Package org.orekit.orbits
Class KeplerianAnomalyUtility
- java.lang.Object
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- org.orekit.orbits.KeplerianAnomalyUtility
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public final class KeplerianAnomalyUtility extends Object
Utility methods for converting between different Keplerian anomalies.- Author:
- Luc Maisonobe, Andrew Goetz
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Method Summary
All Methods Static Methods Concrete Methods Modifier and Type Method Description 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
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
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.
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Method Detail
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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 < 1M
- elliptic mean anomaly (rad)- Returns:
- elliptic true anomaly (rad)
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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 < 1v
- elliptic true anomaly (rad)- Returns:
- elliptic mean anomaly (rad)
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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 < 1E
- elliptic eccentric anomaly (rad)- Returns:
- elliptic true anomaly (rad)
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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 < 1v
- elliptic true anomaly (rad)- Returns:
- elliptic eccentric anomaly (rad)
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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 < 1M
- elliptic mean anomaly (rad)- Returns:
- elliptic eccentric anomaly (rad)
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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 < 1E
- elliptic eccentric anomaly (rad)- Returns:
- elliptic mean anomaly (rad)
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hyperbolicMeanToTrue
public static double hyperbolicMeanToTrue(double e, double M)
Computes the hyperbolic true anomaly from the hyperbolic mean anomaly.- Parameters:
e
- eccentricity > 1M
- hyperbolic mean anomaly- Returns:
- hyperbolic true anomaly (rad)
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hyperbolicTrueToMean
public static double hyperbolicTrueToMean(double e, double v)
Computes the hyperbolic mean anomaly from the hyperbolic true anomaly.- Parameters:
e
- eccentricity > 1v
- hyperbolic true anomaly (rad)- Returns:
- hyperbolic mean anomaly
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hyperbolicEccentricToTrue
public static double hyperbolicEccentricToTrue(double e, double H)
Computes the hyperbolic true anomaly from the hyperbolic eccentric anomaly.- Parameters:
e
- eccentricity > 1H
- hyperbolic eccentric anomaly- Returns:
- hyperbolic true anomaly (rad)
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hyperbolicTrueToEccentric
public static double hyperbolicTrueToEccentric(double e, double v)
Computes the hyperbolic eccentric anomaly from the hyperbolic true anomaly.- Parameters:
e
- eccentricity > 1v
- hyperbolic true anomaly (rad)- Returns:
- hyperbolic eccentric anomaly
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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 > 1M
- hyperbolic mean anomaly- Returns:
- hyperbolic eccentric anomaly
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hyperbolicEccentricToMean
public static double hyperbolicEccentricToMean(double e, double H)
Computes the hyperbolic mean anomaly from the hyperbolic eccentric anomaly.- Parameters:
e
- eccentricity > 1H
- hyperbolic eccentric anomaly- Returns:
- hyperbolic mean anomaly
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