6th Order Point Mass (Coordinated Flight)

Calculate sixth-order point mass in coordinated flight

Libraries:
Aerospace Blockset / 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. For more information on the system for the translational motion of a single point mass or multiple mass, see Algorithms.

The 6th Order Point Mass (Coordinated Flight) block port labels change based on the input and output units selected from the Units list.

Examples

Multiple Aircraft with Collaborative Control

Simulate multiple aircraft in formation flight.

Open Model

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 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

expand all

Port_1 — Force in x-axis
scalar | array

Force in x-axis, specified as a scalar or vector, in selected units.

Data Types: double

Port_2 — Force in y-axis
scalar | array

Force in y-axis, specified as a scalar or vector, in selected units.

Data Types: double

Port_3 — Force in z-axis
scalar | array

Force in z-axis, specified as a scalar or vector, in selected units.

Data Types: double

Output

expand all

Port_1 — Flight path angle
scalar | array

Flight path angle, returned as a scalar or vector, in radians.

Data Types: double

Port_2 — Heading angle
scalar | array

Heading angle, returned as a scalar or vector, in radians.

Data Types: double

Port_3 — Airspeed
scalar | array

Airspeed, returned as a scalar or vector, in selected units.

Data Types: double

Port_4 — Downrange or amount traveled east
scalar | array

Downrange or amount traveled east, returned as a scalar or vector, in selected units.

Data Types: double

Port_5 — Crossrange or amount travelled north
scalar | array

Crossrange or amount traveled north, returned as a scalar or vector, in selected units.

Data Types: double

Port_6 — Altitude or amount or travelled up
scalar | array

Altitude or amount traveled up, returned as a scalar or vector, in selected units.

Data Types: double

Parameters

expand all

Units — Units
`Metric (MKS)` (default) | `English (Velocity in ft/s)` | `English (Velocity in kts)`

Input and output units, specified as:

Units	Forces	Velocity	Position	Mass
`Metric (MKS)`	newtons	meters per second	meters	kilograms
`English (Velocity in ft/s)`	pounds	feet per second	feet	slugs
`English (Velocity in kts)`	pounds	knots	feet	slugs

Programmatic Use

Block Parameter: units

Type: character vector

Values:

'Metric
									(MKS)'

'English (Velocity in
									ft/s)'

'English (Velocity in
									kts)'

Default:

'Metric
									(MKS)'

Initial flight path angle — Initial flight path angle
`0` (default) | scalar | vector

Initial flight path angle of the point mass(es), specified as a scalar or vector.

Programmatic Use

Block Parameter: gamma0

Type: character vector

Values: scalar | vector

Default: '0'

Initial heading angle — Initial heading angle
`0` (default) | scalar | vector

Initial heading angle of the point mass(es), specified as a scalar or vector.

Programmatic Use

Block Parameter: chi0

Type: character vector

Values: scalar | vector

Default: '0'

Initial airspeed — Initial airspeed
`100` (default) | scalar | vector

Initial airspeed of the point mass(es), specified as a scalar or vector.

Programmatic Use

Block Parameter: V0

Type: character vector

Values: scalar | vector

Default: '100'

Initial downrange [East] — Initial downrange
`0` (default) | scalar | vector

Initial downrange of the point mass(es), specified as a scalar or vector.

Programmatic Use

Block Parameter: x0

Type: character vector

Values: scalar | vector

Default: '0'

Initial crossrange [North] — Initial cross range
`0` (default) | scalar | vector

Initial crossrange of the point mass(es), specified as a scalar or vector.

Programmatic Use

Block Parameter: y0

Type: character vector

Values: scalar | vector

Default: '0'

Initial altitude [Up] — Initial altitude
`0` (default) | scalar | vector

Initial altitude of the point mass(es), specified as a scalar or vector.

Programmatic Use

Block Parameter: h0

Type: character vector

Values: scalar | vector

Default: '0'

Initial mass — Point mass
`1.0` (default) | scalar | vector

Mass of the point mass(es), specified as a scalar or vector.

Programmatic Use

Block Parameter: mass0

Type: character vector

Values: scalar | vector

Default: '1.0'

Algorithms

This figure shows the system for the translational motion of a single point mass or multiple point masses.

The translational motion of the point mass [X_EastX_NorthX_Up]^Tare functions of airspeed (V), flight path angle (γ), and heading angle (χ),

$\begin{array}{l} F_{x} = m \dot{V} \\ F_{y} = (m V \cos γ) \dot{χ} \\ F_{z} = m V \dot{γ} \\ {\dot{X}}_{E a s t} = V \cos χ \cos γ \\ {\dot{X}}_{N o r t h} = V \sin χ \cos γ \\ {\dot{X}}_{U p} = V \sin γ \end{array}$

where the applied forces [F_xF_yF_h]^Tare 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.

Extended Capabilities

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

Version History

Introduced before R2006a

6th Order Point Mass (Coordinated Flight)

Description

Examples

Multiple Aircraft with Collaborative Control

Limitations

Ports

Input

Port_1 — Force in x-axis scalar | array

Port_2 — Force in y-axis scalar | array

Port_3 — Force in z-axis scalar | array

Output

Port_1 — Flight path angle scalar | array

Port_2 — Heading angle scalar | array

Port_3 — Airspeed scalar | array

Port_4 — Downrange or amount traveled east scalar | array

Port_5 — Crossrange or amount travelled north scalar | array

Port_6 — Altitude or amount or travelled up scalar | array

Parameters

Units — Units Metric (MKS) (default) | English (Velocity in ft/s) | English (Velocity in kts)

Programmatic Use

Initial flight path angle — Initial flight path angle 0 (default) | scalar | vector

Programmatic Use

Initial heading angle — Initial heading angle 0 (default) | scalar | vector

Programmatic Use

Initial airspeed — Initial airspeed 100 (default) | scalar | vector

Programmatic Use

Initial downrange [East] — Initial downrange 0 (default) | scalar | vector

Programmatic Use

Initial crossrange [North] — Initial cross range 0 (default) | scalar | vector

Programmatic Use

Initial altitude [Up] — Initial altitude 0 (default) | scalar | vector

Programmatic Use

Initial mass — Point mass 1.0 (default) | scalar | vector

Programmatic Use

Algorithms

Extended Capabilities

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

Version History

See Also

Port_1 — Force in x-axis
scalar | array

Port_2 — Force in y-axis
scalar | array

Port_3 — Force in z-axis
scalar | array

Port_1 — Flight path angle
scalar | array

Port_2 — Heading angle
scalar | array

Port_3 — Airspeed
scalar | array

Port_4 — Downrange or amount traveled east
scalar | array

Port_5 — Crossrange or amount travelled north
scalar | array

Port_6 — Altitude or amount or travelled up
scalar | array

Units — Units
`Metric (MKS)` (default) | `English (Velocity in ft/s)` | `English (Velocity in kts)`

Initial flight path angle — Initial flight path angle
`0` (default) | scalar | vector

Initial heading angle — Initial heading angle
`0` (default) | scalar | vector

Initial airspeed — Initial airspeed
`100` (default) | scalar | vector

Initial downrange [East] — Initial downrange
`0` (default) | scalar | vector

Initial crossrange [North] — Initial cross range
`0` (default) | scalar | vector

Initial altitude [Up] — Initial altitude
`0` (default) | scalar | vector

Initial mass — Point mass
`1.0` (default) | scalar | vector

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