Documentation |
Calculate sixth-order point mass in coordinated flight
The 6th Order Point Mass (Coordinated Flight) block performs the calculations for the translational motion of a single point mass or multiple point masses.
The translational motion of the point mass [X_{East} X_{North} X_{Up}]^{T }are functions of airspeed (V), flight path angle (γ), and heading angle (χ),
$$\begin{array}{l}{F}_{x}=mV\\ {F}_{y}=(mV\mathrm{cos}\gamma )\dot{\chi}\\ {F}_{z}=mV\dot{\gamma}\\ {\dot{X}}_{East}=V\mathrm{cos}\chi \mathrm{cos}\gamma \\ {\dot{X}}_{North}=V\mathrm{sin}\chi \mathrm{cos}\gamma \\ {\dot{X}}_{Up}=V\mathrm{sin}\gamma \end{array}$$
where the applied forces [F_{x} F_{y} F_{h}]^{T }are in a system is defined by x-axis in the direction of vehicle velocity relative to air, z-axis is upward, and y-axis completes the right-handed frame, and the mass of the body m is assumed constant.
Specifies the input and output units:
Units | Forces | Velocity | Position |
---|---|---|---|
Metric (MKS) | Newton | Meters per second | Meters |
English (Velocity in ft/s) | Pound | Feet per second | Feet |
English (Velocity in kts) | Pound | Knots | Feet |
The scalar or vector containing initial flight path angle of the point mass(es).
The scalar or vector containing initial heading angle of the point mass(es).
The scalar or vector containing initial airspeed of the point mass(es).
The scalar or vector containing initial downrange of the point mass(es).
The scalar or vector containing initial crossrange of the point mass(es).
The scalar or vector containing initial altitude of the point mass(es).
The scalar or vector containing mass of the point mass(es).
Input | Dimension Type | Description |
---|---|---|
First | Contains the force in x-axis in selected units. | |
Second | Contains the force in y-axis in selected units. | |
Third | Contains the force in z-axis in selected units. |
Output | Dimension Type | Description |
---|---|---|
First | Contains the flight path angle in radians. | |
Second | Contains the heading angle in radians. | |
Third | Contains the airspeed in selected units. | |
Fourth | Contains the downrange or amount traveled East in selected units. | |
Fifth | Contains the crossrange or amount traveled North in selected units. | |
Sixth | Contains the altitude or amount traveled Up in selected units. |
The block assumes that there is fully coordinated flight, i.e., there is no side force (wind axes) and sideslip is always zero.
The flat flat Earth reference frame is considered inertial, an excellent approximation that allows the forces due to the Earth's motion relative to the "fixed stars" to be neglected.
4th Order Point Mass (Longitudinal)
4th Order Point Mass Forces (Longitudinal)
6th Order Point Mass Forces (Coordinated Flight)
Custom Variable Mass 6DOF (Euler Angles)
Custom Variable Mass 6DOF (Quaternion)
Custom Variable Mass 6DOF ECEF (Quaternion)
Custom Variable Mass 6DOF Wind (Quaternion)
Custom Variable Mass 6DOF Wind (Wind Angles)
Simple Variable Mass 6DOF (Euler Angles)
Simple Variable Mass 6DOF (Quaternion)
Simple Variable Mass 6DOF ECEF (Quaternion)