Package org.orekit.propagation.semianalytical.dsst.utilities.hansen

Class HansenUtilities

java.lang.Object

org.orekit.propagation.semianalytical.dsst.utilities.hansen.HansenUtilities

public class HansenUtilities
extends Object

Utilities class.

Author:

Lucian Barbulescu

Field Summary

Fields

Modifier and Type	Field	Description
static PolynomialFunction	ONE	1 represented as a polynomial.
static PolynomialFunction	ZERO	0 represented as a polynomial.

Method Summary

Modifier and Type	Method	Description
static PolynomialFunctionMatrix	buildIdentityMatrix2()	Build the identity matrix of order 2.
static PolynomialFunctionMatrix	buildIdentityMatrix4()	Build the identity matrix of order 4.
static PolynomialFunctionMatrix	buildZeroMatrix2()	Build the empty matrix of order 2.
static PolynomialFunctionMatrix	buildZeroMatrix4()	Build the empty matrix of order 4.
static void	generateTesseralPolynomials(int n0, int nMin, int offset, int slice, int j, int s, PolynomialFunction[][] mpvec, PolynomialFunction[][] mpvecDeriv)	Generate the polynomials needed in the linear transformation.
static void	generateThirdBodyPolynomials(int n0, int nMax, int slice, int s, PolynomialFunction[][] mpvec, PolynomialFunction[][] mpvecDeriv)	Generate the polynomials needed in the linear transformation.
static void	generateZonalPolynomials(int n0, int nMin, int offset, int slice, int s, PolynomialFunction[][] mpvec, PolynomialFunction[][] mpvecDeriv)	Generate the polynomials needed in the linear transformation.

Methods inherited from class java.lang.Object

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

Field Detail

ONE

public static final PolynomialFunction ONE

1 represented as a polynomial.

ZERO

public static final PolynomialFunction ZERO

0 represented as a polynomial.

Method Detail

buildIdentityMatrix2

public static PolynomialFunctionMatrix buildIdentityMatrix2()

Build the identity matrix of order 2.

       / 1   0 \
  I₂ = |       |
       \ 0   1 /
 

Returns:

the identity matrix of order 2

buildZeroMatrix2

public static PolynomialFunctionMatrix buildZeroMatrix2()

Build the empty matrix of order 2.

       / 0   0 \
  E₂ = |       |
       \ 0   0 /
 

Returns:

the identity matrix of order 2

buildIdentityMatrix4

public static PolynomialFunctionMatrix buildIdentityMatrix4()

Build the identity matrix of order 4.

       / 1  0  0  0 \
       |            |
       | 0  1  0  0 |
  I₄ = |            |
       | 0  0  1  0 |
       |            |
       \ 0  0  0  1 /
 

Returns:

the identity matrix of order 4

buildZeroMatrix4

public static PolynomialFunctionMatrix buildZeroMatrix4()

Build the empty matrix of order 4.

       / 0  0  0  0 \
       |            |
       | 0  0  0  0 |
  E₄ = |            |
       | 0  0  0  0 |
       |            |
       \ 0  0  0  0 /
 

Returns:

the identity matrix of order 4

generateZonalPolynomials

public static void generateZonalPolynomials(int n0,
                                            int nMin,
                                            int offset,
                                            int slice,
                                            int s,
                                            PolynomialFunction[][] mpvec,
                                            PolynomialFunction[][] mpvecDeriv)

Generate the polynomials needed in the linear transformation.

Parameters:

n0 - the index of the initial condition, Petre's paper

nMin - rhe minimum value for the order

offset - offset used to identify the polynomial that corresponds to a negative value of n in the internal array that starts at 0

slice - number of coefficients that will be computed with a set of roots

s - the s coefficient

mpvec - array to store the first vector of polynomials associated to Hansen coefficients and derivatives.

mpvecDeriv - array to store the second vector of polynomials associated only to derivatives.

See Petre's paper

generateTesseralPolynomials

public static void generateTesseralPolynomials(int n0,
                                               int nMin,
                                               int offset,
                                               int slice,
                                               int j,
                                               int s,
                                               PolynomialFunction[][] mpvec,
                                               PolynomialFunction[][] mpvecDeriv)

Generate the polynomials needed in the linear transformation.

Parameters:

n0 - the index of the initial condition, Petre's paper

nMin - rhe minimum value for the order

offset - offset used to identify the polynomial that corresponds to a negative value of n in the internal array that starts at 0

slice - number of coefficients that will be computed with a set of roots

j - the j coefficient

s - the s coefficient

mpvec - array to store the first vector of polynomials associated to Hansen coefficients and derivatives.

mpvecDeriv - array to store the second vector of polynomials associated only to derivatives.

generateThirdBodyPolynomials

public static void generateThirdBodyPolynomials(int n0,
                                                int nMax,
                                                int slice,
                                                int s,
                                                PolynomialFunction[][] mpvec,
                                                PolynomialFunction[][] mpvecDeriv)

Generate the polynomials needed in the linear transformation.

Parameters:

n0 - the index of the initial condition, Petre's paper

nMax - the maximum order of n indexes

slice - number of coefficients that will be computed with a set of roots

s - the s coefficient

mpvec - array to store the first vector of polynomials associated to Hansen coefficients and derivatives.

mpvecDeriv - array to store the second vector of polynomials associated only to derivatives.

See Petre's paper