How many rotations are required to transform the ECI coordinate system to the perifocal system?

A)

0

B)

1

C)

2

D)

3

Correct Answer : 3

Explanation : The coordinate transformation from XYZ frame to X’Y’Z’ frame is carried out by a single rotation about one axis. The other two axes remain in the same plane. But to transform from the ECI coordinate system to the perifocal system, there have to be successive 3 rotations. The first rotation is about Z axis, second is through X’ axis and the final rotation is bout Z’’ axis.

Recently Updated in Spaceflight Mechanics Questions

How many rotations are required to transform the ECI coordinate system to the perifocal system?

A)

0

B)

1

C)

2

D)

3

Correct Answer : Option (D) : 3

Explanation : The coordinate transformation from XYZ frame to X’Y’Z’ frame is carried out by a single rotation about one axis. The other two axes remain in the same plane. But to transform from the ECI coordinate system to the perifocal system, there have to be successive 3 rotations. The first rotation is about Z axis, second is through X’ axis and the final rotation is bout Z’’ axis.

The rotational matrix used for coordinate transformation is which kind of matrix?

A)

Orthogonal matrix

B)

Skew matrix

C)

Identical matrix

D)

Rotational matrix

Correct Answer : Option (A) : Orthogonal matrix

If a point having coordinates (x,y) has to be reflected across line y = x, then what will be the coordinates of the reflected point?

A)

(x, y)

B)

(-x, y)

C)

(x, -y)

D)

(-x, -y)

Correct Answer : Option (B) : (-x, y)

Explanation : When a point has to be reflected across the y-axis, the y value stays the same and the x value becomes opposite of what it is.

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