Class Matrix3Support

Namespace

NominalSystems.Maths

Assembly

NominalSystems.Maths.dll

Provides additional support functions for 3x3 matrices

public class Matrix3Support

Inheritance

object

Matrix3Support

Constructors

Matrix3Support()

public Matrix3Support()

Methods

InertiaInversePntTransform(Matrix3, Transform, double)

Transform an inertia tensor, initially calculated at the centre-of-mass of a body, from the equivalent tensor in a new frame back to the initial frame

public static Matrix3 InertiaInversePntTransform(Matrix3 inertia, Transform transform, double mass)

Parameters

inertia Matrix3

The inertia tensor in the new frame

transform Transform

Transform of the tensor initial frame represented in the new frame

mass double

The mass of the body

Returns

Matrix3

The transformed inertia tensor in the initial frame

InertiaPntTransform(Matrix3, Transform, double)

Transform an inertia tensor, initially calculated at the centre-of-mass of a body, to the equivalent tensor in a new frame, calculated at the origin of the new frame

public static Matrix3 InertiaPntTransform(Matrix3 inertia, Transform transform, double mass)

Parameters

inertia Matrix3

The inertia tensor in the original frame

transform Transform

Transform of the tensor frame represented in the new frame

mass double

The mass of the body

Returns

Matrix3

The transformed inertia tensor in the new frame

InertiaPrimePntTransform(Matrix3, Transform, Vector3, double)

Transform an InertiaPrime tensor, initially calculated at the centre-of-mass of a body, to the equivalent tensor in a new frame, calculated at the origin of the new frame

public static Matrix3 InertiaPrimePntTransform(Matrix3 inertiaPrime, Transform transform, Vector3 positionDot, double mass)

Parameters

inertiaPrime Matrix3

The InertiaPrime tensor in the original frame

transform Transform

Transform of the tensor frame represented in the new frame

positionDot Vector3

Rate of change of the position of the tensor frame represented in the new frame

mass double

Returns

Matrix3

PointingDCM(Vector3)

Return a DCM where the Up vector (the third row) points parallel to the given direction vector. The orientation given by the DCM is represented in N frame coordinates.

public static Matrix3 PointingDCM(Vector3 direction_N)

Parameters

direction_N Vector3

The direction vector, in N frame coordinates

Returns

Matrix3

The DCM

PointingDCM(Vector3, Vector3)

Return a DCM where the Up vector (the third row) points parallel to the given direction vector, and the Right vector (the first row) points in the direction of the alignment vector (after projection perpendicular to the Up vector) The orientation given by the DCM is represented in N frame coordinates.

public static Matrix3 PointingDCM(Vector3 direction_N, Vector3 alignment_N)

Parameters

direction_N Vector3

The direction vector, in N frame coordinates

alignment_N Vector3

The alignment vector, in N frame coordinates

Returns

Matrix3

The DCM

Rot1(double)

This function returns the DCM that corresponds to a 1-axis rotation by the angle theta.The DCM is the positive theta rotation from the original frame to the final frame.

public static Matrix3 Rot1(double angle)

Parameters

angle double

The input rotation angle

Returns

Matrix3

A new matrix

Rot2(double)

This function returns the DCM that corresponds to a 2-axis rotation by the angle theta. The DCM is the positive theta rotation from the original frame to the final frame.

public static Matrix3 Rot2(double angle)

Parameters

angle double

The input rotation angle

Returns

Matrix3

A new matrix

Rot3(double)

This function returns the DCM that corresponds to a 3-axis rotation by the angle theta. The DCM is the positive theta rotation from the original frame to the final frame.

The input rotation angle A new matrix

public static Matrix3 Rot3(double angle)

Parameters

angle double

Returns

Matrix3

SkewMatrix(Vector3)

This function returns the skew-symmetric matrix version of a Vector The skew-symmetric matrix of 'a', notated [a], is the matrix equivalent to the vector cross product where [a] b = a x b

public static Matrix3 SkewMatrix(Vector3 vec)

Parameters

vec Vector3

The input vector

Returns

Matrix3

The converted Matrix

TensorTransform(Matrix3, Transform)

Transform a rank-2 tensor to be represented in the new frame

public static Matrix3 TensorTransform(Matrix3 tensor, Transform transform)

Parameters

tensor Matrix3

A rank-2 tensor in the original frame

transform Transform

Transform of the tensor frame represented in the new frame

Returns

Matrix3

The transformed tensor in the new frame