6th Order Point Mass (Coordinated Flight)

Calculate sixth-order point mass in coordinated flight

  • Library:
  • 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.

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

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

Data Types: double

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

Data Types: double

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

Data Types: double

Output

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

Data Types: double

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

Data Types: double

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

Data Types: double

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

Data Types: double

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

Data Types: double

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

Data Types: double

Parameters

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Input and output units, specified as:

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

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

Programmatic Use

Block Parameter: h0
Type: character vector
Values: scalar | vector
Default: '0'

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 [XEastXNorthXUp]T are functions of airspeed (V), flight path angle (γ), and heading angle (χ),

Fx=mVFy=(mVcosγ)χ˙Fz=mVγ˙X˙East=VcosχcosγX˙North=VsinχcosγX˙Up=Vsinγ

where the applied forces [FxFyFh]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.

Introduced before R2006a