📄 flpath.htm
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FDC help: Flpath
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<h2>
Subsystem <i>Flpath</i>
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<p><i>Flpath</i> computes some flight-path related parameters. Since the outputvariables from
<i>Flpath</i> are not needed for solving the equations of motion
themselves, this block has been included in the subsystem <i><a href=
"moreouts.htm">Additional Outputs</a></i>. It is therefore possible to
delete the block <i>Flpath</i> from the <i><a href="beaver.htm">Beaver</a></i> model if desired, but in that case the connections to the
<i>Outport</i> and <i>To Workspace</i> blocks need to be checked. </p>
<h3>
Inputvectors: <i>x</i>, <i>xdot</i>, and <i>yhlp</i>
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<pre>
x = [V alpha beta p q r psi theta phi xe ye H]' (states)
xdot = dx'/dt (time derivative of state vector)
yhlp = [cos(alpha) sin(alpha) cos(beta) sin(beta) ...
... tan(beta) sin(psi) cos(psi) sin(theta) ...
... cos(theta) sin(phi) cos(phi)]'
(sines and cosines, coming from the block <a href=
"hlpfcn.htm">Hlpfcn</a>)
V : airspeed [m/s]
{alpha: angle of attack [rad] }
beta : sideslip angle [rad]
{p : roll rate [rad/s] }
{q : pitch rate [rad/s] }
{r : yaw rate [rad/s] }
psi : yaw angle [rad]
theta: pitch angle [rad]
phi : roll angle [rad]
{xe : x-coordinate in Earth-fixed reference frame [m] }
{ye : y-coordinate '' '' '' '' [m] }
{H : altitude above sea-level [m] }
</pre>
<p>The variables which are not actually needed by <i>Flpath</i> have been
displayed between curly braces. Of the vector <i>xdot</i>, the time
derivatives of <i>V</i> and <i>H</i> are used, while <i>yhlp</i> is needed for
the variables sin(phi) and cos(theta). </p>
<h3>
Outputvector: <i>yfp</i>
</h3>
<pre>
yfp = [gamma fpa chi Phi]'
gamma: flightpath angle in [rad]
fpa : flightpath acceleration in [m/s^2]
chi : azimuth angle in [rad]
Phi : bank angle in [rad]
</pre>
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