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📄 flpath.htm

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<html>
  <head>
    <link rel="stylesheet" type="text/css" href="fdchelp.css">
    <title>
      FDC help: Flpath
    </title>
    <meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
  </head>
  <body bgcolor="#DDDDDD"><div>
    <h2>
      Subsystem <i>Flpath</i>
    </h2>
    <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>
    </h3>
<pre>
  x    = [V alpha beta p q r psi theta phi xe ye H]&#39;     (states)
  xdot = dx&#39;/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)]&#39;
                (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 &#39;&#39;     &#39;&#39;          &#39;&#39;      &#39;&#39;  [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]&#39;

  gamma: flightpath angle in [rad]
  fpa  : flightpath acceleration in [m/s^2]
  chi  : azimuth angle in [rad]
  Phi  : bank angle in [rad]
</pre>
  </div></body>
</html>

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