Implement three-degrees-of-freedom equations of motion of simple variable mass with respect to wind axes
Aerospace Blockset / Equations of Motion / 3DOF
The Simple Variable Mass 3DOF (Wind Axes) block implements three-degrees-of-freedom equations of motion of simple variable mass with respect to wind axes. The block considers the rotation in the vertical plane of a wind-fixed coordinate frame about a flat Earth reference frame. For more information about the rotation and equations of motion, see Algorithms.
The block considers the rotation in the vertical plane of a wind-fixed coordinate frame about a flat Earth reference frame.
The equations of motion are
where the applied forces are assumed to act at the center of gravity of the body. Vrew is the relative velocity in the wind axes at which the mass flow () is ejected or added to the wind axes.
[1] Stevens, Brian, and Frank Lewis. Aircraft Control and Simulation. Hoboken, NJ: John Wiley & Sons, 1992.
3DOF (Body Axes) | 3DOF (Wind Axes) | Custom Variable Mass 3DOF (Body Axes) | Custom Variable Mass 3DOF (Wind Axes) | Simple Variable Mass 3DOF (Body Axes)