FieldHansenThirdBodyLinear (OREKIT 12.0.2 API)

java.lang.Object
- org.orekit.propagation.semianalytical.dsst.utilities.hansen.FieldHansenThirdBodyLinear<T>

Type Parameters:

T - type of the field elements
```
public class FieldHansenThirdBodyLinear<T extends CalculusFieldElement<T>>
extends Object
```
Hansen coefficients K(t,n,s) for t=0 and n > 0.
Implements Collins 4-254 or Danielson 2.7.3-(7) for Hansen Coefficients and Danielson 3.2-(3) for derivatives. The recursions are transformed into composition of linear transformations to obtain the associated polynomials for coefficients and their derivatives - see Petre's paper

Author:

Petre Bazavan, Lucian Barbulescu, Bryan Cazabonne

Constructor Summary

Constructors
Constructor Description

FieldHansenThirdBodyLinear(int nMax, int s, Field<T> field)
Constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`void`	`computeInitValues(T chitm1, T chitm2, T chitm3)`	Compute the initial values (see Collins, 4-255, 4-256 and 4.259)
`T`	`getDerivative(int n, T chitm1)`	Compute the value of the Hansen coefficient dK₀^{n, s} / dΧ.
`T`	`getValue(int n, T chitm1)`	Compute the value of the Hansen coefficient K₀^{n, s}.

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

- Constructor Detail
  - FieldHansenThirdBodyLinear
```
public FieldHansenThirdBodyLinear(int nMax,
                                  int s,
                                  Field<T> field)
```
    Constructor.
    
    Parameters:
    
    nMax - the maximum value of n
    
    s - the value of s
    
    field - field used by default
- Method Detail
  - computeInitValues
```
public void computeInitValues(T chitm1,
                              T chitm2,
                              T chitm3)
```
    Compute the initial values (see Collins, 4-255, 4-256 and 4.259)
    K₀^{s, s} = (-1)^s * ( (2*s+1)!! / (s+1)! )
    
    K₀^{s+1, s} = (-1)^s * ( (2*s+1)!! / (s+2)! ) * (2*s+3 - χ^-2)
    
    dK₀^{s+1, s} / dχ = = (-1)^s * 2 * ( (2*s+1)!! / (s+2)! ) * χ^-3
    
    Parameters:
    
    chitm1 - sqrt(1 - e²)
    
    chitm2 - sqrt(1 - e²)²
    
    chitm3 - sqrt(1 - e²)³
  - getValue
```
public T getValue(int n,
                  T chitm1)
```
    Compute the value of the Hansen coefficient K₀^{n, s}.
    
    Parameters:
    
    n - n value
    
    chitm1 - χ^-1
    
    Returns:
    
    the coefficient K₀^{n, s}
  - getDerivative
```
public T getDerivative(int n,
                       T chitm1)
```
    Compute the value of the Hansen coefficient dK₀^{n, s} / dΧ.
    
    Parameters:
    
    n - n value
    
    chitm1 - χ^-1
    
    Returns:
    
    the coefficient dK₀^{n, s} / dΧ