Aerospace Blockset™

6th Order Point Mass (Coordinated Flight) - Calculate sixth-order point mass in coordinated flight

Library

Equations of Motion/Point Mass

Description

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 , flight path angle , and heading angle ,

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 is assumed constant.

Dialog Box

Units

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

Initial flight path angle

The scalar or vector containing initial flight path angle of the point mass(es).

Initial heading angle

The scalar or vector containing initial heading angle of the point mass(es).

Initial airspeed

The scalar or vector containing initial airspeed of the point mass(es).

Initial downrange [East]

The scalar or vector containing initial downrange of the point mass(es).

Initial crossrange [North]

The scalar or vector containing initial crossrange of the point mass(es).

Initial altitude [Up]

The scalar or vector containing initial altitude of the point mass(es).

Initial mass

The scalar or vector containing mass of the point mass(es).

Inputs and Outputs

Assumptions and Limitations

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.

See Also

4th Order Point Mass (Longitudinal)

4th Order Point Mass Forces (Longitudinal)

6DoF (Euler Angles)

6DoF (Quaternion)

6DoF ECEF (Quaternion)

6DoF Wind (Wind Angles)

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)

Simple Variable Mass 6DoF Wind (Quaternion)

Simple Variable Mass 6DoF Wind (Wind Angles)

6DoF Wind (Wind Angles)

6th Order Point Mass Forces (Coordinated Flight)