Aerospace Blockset | ![]() ![]() |
Implement three-degrees-of-freedom equations of motion
Library
Description
The 3DoF Equations of Motion block considers the rotation in the vertical plane of a body-fixed coordinate frame about an Earth-fixed reference frame.
The equations of motion are given below:
where the applied forces are assumed to act at the center of gravity of the body.
Dialog Box
A two-element vector containing the initial location of the body in the Earth-fixed reference frame.
Inputs and Outputs
The first input to the block is the force acting along the body x-axis, in Newtons .
The second input to the block is the force acting along the body z-axis, in Newtons .
The third input to the block is the applied pitch moment, in Newton.meters (M).
The first output from the block is the pitch attitude, in radians .
The second output is the pitch angular rate, in radians per second (q).
The third output is the pitch angular acceleration, in radians per second squared .
The fourth output is a two-element vector containing the location of the body, in the Earth-fixed reference frame, in meters (Xe,Ze).
The fifth output is a two-element vector containing the velocity of the body resolved into the body-fixed coordinate frame, in meters per second (u,w).
The sixth output is a two-element vector containing the acceleration of the body resolved into the body-fixed coordinate frame, in meters per second squared (Ax,Az).
Examples
See the Simulink model aeroblk_guidance.mdl
for an example of the use of the 3DoF Equations of Motion block.
See Also
![]() | Euler Angles to Quaternions | Force Conversion | ![]() |