4th Order Point Mass Forces (Longitudinal)

Calculate forces used by fourth-order point mass

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Libraries:
Aerospace Blockset / Equations of Motion / Point Mass

Description

The 4th Order Point Mass Forces (Longitudinal) block calculates the applied forces for a single point mass or multiple point masses. For more information on the system for the applied forces, see Algorithms.

Limitations

The flat Earth reference frame is considered inertial, an approximation that allows the forces due to the Earth motion relative to the "fixed stars" to be neglected.

Ports

Input

Lift — Lift

scalar | array

Lift, specified as a scalar or array, in units of force.

Data Types: double

Drag — Drag

scalar | array

Drag, specified as a scalar or array, in units of force.

Data Types: double

Weight — Weight

scalar | array

Weight, specified as a scalar or array, in units of force.

Data Types: double

Thrust — Thrust

scalar | array

Thrust, specified as a scalar or array, in units of force.

Data Types: double

ɣ — Flight path angle

scalar | array

Flight path angle, specified as a scalar or array, in radians.

Data Types: double

μ — Bank angle

scalar | array

Bank angle, specified as a scalar or array, in radians.

Data Types: double

ɑ — Angle of attack

scalar | array

Angle of attack, specified as a scalar or array, in radians.

Data Types: double

Output

F_x — Force in x-axis

scalar | array

Force in x-axis, returned as a scalar or array, in units of force.

Data Types: double

F_z — Force in z-axis

scalar | array

Force in z-axis, returned as a scalar or array, in units of force.

Data Types: double

Algorithms

The applied forces [F_x F_z]^T are in a system defined as follows: x-axis is in the direction of vehicle velocity relative to air, z-axis is upward, and y-axis completes the right-handed frame. They are functions of lift (L), drag (D), thrust (T), weight (W), flight path angle (γ), angle of attack (α), and bank angle (μ).

$$\begin{array}{l}{F}_z=(L+T\sin \alpha )\cos \mu -W\cos \gamma \\ F_x=T\cos \alpha -D-W\sin \gamma \end{array}$$

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a