<html> <head> <title>Cessna 310 -- Linear Model</title> </head> <BODY bgcolor="FFFFFF" text="000000" link="0800FF" vlink="FF0000" alink="FF0FF8"> <font face="arial,helvetica"> <center><h1><b><i> Cessna 310 -- Linear Model </i></b></h1></center> <b><i>Graduate Research done by <a href="http://fly.to/jeffscott/">Jeff Scott</a><br> Advisor: <a href="http://www.uiuc.edu/ph/www/m-selig">Prof. Michael Selig</a><br> Applied Aerodynamics Group<br> Department of Aeronautical and Astronautical Engineering<br> University of Illinois at Urbana-Champaign, Urbana, Illinois 61801<p> Last updated May 31, 2000</i></b> <p> The linear aerodynamics model uses stability derivatives to approximate actual aircraft behavior. The Cessna 310 linear model is based on the following flight conditions (cruise): <p> <center> <table width="95%" border="1"> <tr> <td colspan="7" bgcolor="FFFFCC"> <font face="arial,helvetica" size="4"><b><center> Flight Conditions </center></b></font> </td> </tr> <tr> <th> <font face="arial,helvetica"> Variable </font> </th> <th> <font face="arial,helvetica"> Variable<br>in Code </font> </th> <th> <font face="arial,helvetica"> Description </font> </th> <th> <font face="arial,helvetica"> Units </font> </th> <th> <font face="arial,helvetica"> Value(s) </font> </th> <th> <font face="arial,helvetica"> Source </font> </th> <th> <font face="arial,helvetica"> Notes </font> </th> </tr> <tr> <tr> <td valign="top"> <font face="arial,helvetica"> h </font> </td> <td valign="top"> <font face="arial,helvetica"> Altitude </font> </td> <td valign="top"> <font face="arial,helvetica"> altitude above sea level </font> </td> <td valign="top"> <font face="arial,helvetica"> ft </font> </td> <td valign="top"> <font face="arial,helvetica"> 8000 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/alpha.gif"> </font> </td> <td valign="top"> <font face="arial,helvetica"> Alpha </font> </td> <td valign="top"> <font face="arial,helvetica"> angle of attack </font> </td> <td valign="top"> <font face="arial,helvetica"> deg </font> </td> <td valign="top"> <font face="arial,helvetica"> 0 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> V<sub><img src="../images/inf.gif"></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> V_true_kts </font> </td> <td valign="top"> <font face="arial,helvetica"> velocity (true air speed) </font> </td> <td valign="top"> <font face="arial,helvetica"> kts </font> </td> <td valign="top"> <font face="arial,helvetica"> 185 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> Mach 0.288 </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> q </font> </td> <td valign="top"> <font face="arial,helvetica"> Dynamic_pressure </font> </td> <td valign="top"> <font face="arial,helvetica"> dynamic pressure </font> </td> <td valign="top"> <font face="arial,helvetica"> lb/ft<sup>2</sup> </font> </td> <td valign="top"> <font face="arial,helvetica"> 91.2 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C.G. </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> center of gravity location </font> </td> <td valign="top"> <font face="arial,helvetica"> % <img src="../images/cbar.gif"> </font> </td> <td valign="top"> <font face="arial,helvetica"> 33 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>L</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CL </font> </td> <td valign="top"> <font face="arial,helvetica"> lift coefficient </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> ? </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> <td valign="top"> <font face="arial,helvetica"> not available </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>D</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CD </font> </td> <td valign="top"> <font face="arial,helvetica"> drag coefficient </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> ? </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> <td valign="top"> <font face="arial,helvetica"> not available </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>m</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cm </font> </td> <td valign="top"> <font face="arial,helvetica"> pitching moment coefficient </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> ? </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> <td valign="top"> <font face="arial,helvetica"> not available </font> </td> </tr> </table> </center> <p> The data input into the simulator is listed in the following tables: <p> <center> <table width="95%" border="1"> <tr> <td colspan="7" bgcolor="FFFFCC"> <font face="arial,helvetica" size="4"><b><center> Geometry </center></b></font> </td> </tr> <tr> <th> <font face="arial,helvetica"> Variable </font> </th> <th> <font face="arial,helvetica"> Variable<br>in Code </font> </th> <th> <font face="arial,helvetica"> Description </font> </th> <th> <font face="arial,helvetica"> Units </font> </th> <th> <font face="arial,helvetica"> Value(s) </font> </th> <th> <font face="arial,helvetica"> Source </font> </th> <th> <font face="arial,helvetica"> Notes </font> </th> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> b </font> </td> <td valign="top"> <font face="arial,helvetica"> bw </font> </td> <td valign="top"> <font face="arial,helvetica"> wingspan </font> </td> <td valign="top"> <font face="arial,helvetica"> ft </font> </td> <td valign="top"> <font face="arial,helvetica"> 36.9 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/cbar.gif"> </font> </td> <td valign="top"> <font face="arial,helvetica"> cbar </font> </td> <td valign="top"> <font face="arial,helvetica"> wing mean aerodynamic chord </font> </td> <td valign="top"> <font face="arial,helvetica"> ft </font> </td> <td valign="top"> <font face="arial,helvetica"> 4.79 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> S </font> </td> <td valign="top"> <font face="arial,helvetica"> Sw </font> </td> <td valign="top"> <font face="arial,helvetica"> wing surface area </font> </td> <td valign="top"> <font face="arial,helvetica"> ft<sup>2</sup> </font> </td> <td valign="top"> <font face="arial,helvetica"> 175 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> </table> <p> <table width="95%" border="1"> <tr> <td colspan="7" bgcolor="FFFFCC"> <font face="arial,helvetica" size="4"><b><center> Control Surface Geometry </center></b></font> </td> </tr> <tr> <th> <font face="arial,helvetica"> Variable </font> </th> <th> <font face="arial,helvetica"> Variable<br>in Code </font> </th> <th> <font face="arial,helvetica"> Description </font> </th> <th> <font face="arial,helvetica"> Units </font> </th> <th> <font face="arial,helvetica"> Value(s) </font> </th> <th> <font face="arial,helvetica"> Source </font> </th> <th> <font face="arial,helvetica"> Notes </font> </th> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">e<sub>max</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> demax </font> </td> <td valign="top"> <font face="arial,helvetica"> maximum elevator deflection </font> </td> <td valign="top"> <font face="arial,helvetica"> deg </font> </td> <td valign="top"> <font face="arial,helvetica"> +20 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> guess </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">e<sub>min</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> demin </font> </td> <td valign="top"> <font face="arial,helvetica"> minimum elevator deflection </font> </td> <td valign="top"> <font face="arial,helvetica"> deg </font> </td> <td valign="top"> <font face="arial,helvetica"> -20 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> guess </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">a<sub>max</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> damax </font> </td> <td valign="top"> <font face="arial,helvetica"> maximum aileron deflection </font> </td> <td valign="top"> <font face="arial,helvetica"> deg </font> </td> <td valign="top"> <font face="arial,helvetica"> +20 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> guess </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">a<sub>min</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> damin </font> </td> <td valign="top"> <font face="arial,helvetica"> minimum aileron deflection </font> </td> <td valign="top"> <font face="arial,helvetica"> deg </font> </td> <td valign="top"> <font face="arial,helvetica"> -20 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> guess </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">r<sub>max</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> drmax </font> </td> <td valign="top"> <font face="arial,helvetica"> maximum rudder deflection </font> </td> <td valign="top"> <font face="arial,helvetica"> deg </font> </td> <td valign="top"> <font face="arial,helvetica"> +20 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> guess </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">r<sub>min</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> drmin </font> </td> <td valign="top"> <font face="arial,helvetica"> minimum rudder deflection </font> </td> <td valign="top"> <font face="arial,helvetica"> deg </font> </td> <td valign="top"> <font face="arial,helvetica"> -20 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> guess </font> </td> </tr> </table> <p> <table width="95%" border="1"> <tr> <td colspan="7" bgcolor="FFFFCC"> <font face="arial,helvetica" size="4"><b><center> Mass Data </center></b></font> </td> </tr> <tr> <th> <font face="arial,helvetica"> Variable </font> </th> <th> <font face="arial,helvetica"> Variable<br>in Code </font> </th> <th> <font face="arial,helvetica"> Description </font> </th> <th> <font face="arial,helvetica"> Units </font> </th> <th> <font face="arial,helvetica"> Value(s) </font> </th> <th> <font face="arial,helvetica"> Source </font> </th> <th> <font face="arial,helvetica"> Notes </font> </th> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> W </font> </td> <td valign="top"> <font face="arial,helvetica"> Weight </font> </td> <td valign="top"> <font face="arial,helvetica"> weight at flight condition </font> </td> <td valign="top"> <font face="arial,helvetica"> lb </font> </td> <td valign="top"> <font face="arial,helvetica"> 4600 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> converted to Mass <br>[slug/ft<sup>3</sup>] in code </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> I<sub>xx</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> I_xx </font> </td> <td valign="top"> <font face="arial,helvetica"> roll inertia </font> </td> <td valign="top"> <font face="arial,helvetica"> slug ft<sup>2</sup> </font> </td> <td valign="top"> <font face="arial,helvetica"> 8884 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> I<sub>yy</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> I_yy </font> </td> <td valign="top"> <font face="arial,helvetica"> pitch inertia </font> </td> <td valign="top"> <font face="arial,helvetica"> slug ft<sup>2</sup> </font> </td> <td valign="top"> <font face="arial,helvetica"> 1939 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> I<sub>zz</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> I_zz </font> </td> <td valign="top"> <font face="arial,helvetica"> yaw inertia </font> </td> <td valign="top"> <font face="arial,helvetica"> slug ft<sup>2</sup> </font> </td> <td valign="top"> <font face="arial,helvetica"> 11001 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> I<sub>xz</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> I_xz </font> </td> <td valign="top"> <font face="arial,helvetica"> lateral cross inertia </font> </td> <td valign="top"> <font face="arial,helvetica"> slug ft<sup>2</sup> </font> </td> <td valign="top"> <font face="arial,helvetica"> 0 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 487 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> </table> <p> <table width="95%" border="1"> <tr> <td colspan="7" bgcolor="FFFFCC"> <font face="arial,helvetica" size="4"><b><center> Propulsion Data </center></b></font> </td> </tr> <tr> <th> <font face="arial,helvetica"> Variable </font> </th> <th> <font face="arial,helvetica"> Variable<br>in Code </font> </th> <th> <font face="arial,helvetica"> Description </font> </th> <th> <font face="arial,helvetica"> Units </font> </th> <th> <font face="arial,helvetica"> Value(s) </font> </th> <th> <font face="arial,helvetica"> Source </font> </th> <th> <font face="arial,helvetica"> Notes </font> </th> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> T<sub>max</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> simpleSingleMaxThrust </font> </td> <td valign="top"> <font face="arial,helvetica"> maximum thrust </font> </td> <td valign="top"> <font face="arial,helvetica"> lb </font> </td> <td valign="top"> <font face="arial,helvetica"> 500 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> estimated from C<sub>T<sub>x</sub></sub><br> at cruise </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> P<sub>max</sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> maximum power </font> </td> <td valign="top"> <font face="arial,helvetica"> kW </font> </td> <td valign="top"> <font face="arial,helvetica"> 426 </font> </td> <td valign="top"> <font face="arial,helvetica"> David pg 250 </font> </td> <td valign="top"> <font face="arial,helvetica"> max engine rating<br> not used in code </font> </td> </tr> </table> <p> <table width="95%" border="1"> <tr> <td colspan="7" bgcolor="FFFFCC"> <font face="arial,helvetica" size="4"><b><center> Aerodynamic Data </center></b></font> </td> </tr> <tr> <th> <font face="arial,helvetica"> Variable </font> </th> <th> <font face="arial,helvetica"> Variable<br>in Code </font> </th> <th> <font face="arial,helvetica"> Description </font> </th> <th> <font face="arial,helvetica"> Units </font> </th> <th> <font face="arial,helvetica"> Value(s) </font> </th> <th> <font face="arial,helvetica"> Source </font> </th> <th> <font face="arial,helvetica"> Notes </font> </th> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>D<sub>0</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CDo </font> </td> <td valign="top"> <font face="arial,helvetica"> drag coefficient at <img src="../images/alpha.gif">=0 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.029 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>D<sub><img src="../images/alpha.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CD_a </font> </td> <td valign="top"> <font face="arial,helvetica"> drag curve slope </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.16 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>D<sub><img src="../images/delta.gif">e</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CD_de </font> </td> <td valign="top"> <font face="arial,helvetica"> drag due to elevator </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">e positive down </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>L<sub>0</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CLo </font> </td> <td valign="top"> <font face="arial,helvetica"> lift coefficient at <img src="../images/alpha.gif">=0 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.288 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>L<sub><img src="../images/alpha.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CL_a </font> </td> <td valign="top"> <font face="arial,helvetica"> lift curve slope </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 4.58 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>L<sub><img src="../images/alphadot.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CL_adot </font> </td> <td valign="top"> <font face="arial,helvetica"> lift due to angle of attack rate </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 5.3 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>L<sub>q</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CL_q </font> </td> <td valign="top"> <font face="arial,helvetica"> lift due to pitch rate </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 9.7 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>L<sub><img src="../images/delta.gif">e</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CL_de </font> </td> <td valign="top"> <font face="arial,helvetica"> lift due to elevator </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.81 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">e positive down </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>m<sub>0</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cmo </font> </td> <td valign="top"> <font face="arial,helvetica"> pitch moment coefficient at <img src="../images/alpha.gif">=0 </font> </td> <td valign="top"> <font face="arial,helvetica"> - </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.07 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>m<sub><img src="../images/alpha.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cm_a </font> </td> <td valign="top"> <font face="arial,helvetica"> pitch moment due to angle of attack </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.137 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>m<sub><img src="../images/alphadot.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cm_adot </font> </td> <td valign="top"> <font face="arial,helvetica"> pitch moment due to angle of attack rate </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -12.7 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>m<sub>q</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cm_q </font> </td> <td valign="top"> <font face="arial,helvetica"> pitch moment due to pitch rate </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -26.3 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>m<sub><img src="../images/delta.gif">e</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cm_de </font> </td> <td valign="top"> <font face="arial,helvetica"> pitching moment due to elevator </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -2.26 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 488 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">e positive down </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>Y<sub><img src="../images/beta.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CY_beta </font> </td> <td valign="top"> <font face="arial,helvetica"> side force fue to sideslip angle </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.698 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>Y<sub>p</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CY_p </font> </td> <td valign="top"> <font face="arial,helvetica"> side force due to roll rate </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.141 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>Y<sub>r</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CY_r </font> </td> <td valign="top"> <font face="arial,helvetica"> side force due to yaw rate </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.355 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>Y<sub><img src="../images/delta.gif">a</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CY_da </font> </td> <td valign="top"> <font face="arial,helvetica"> side force due to aileron </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">a positive<br>right aileron up </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>Y<sub><img src="../images/delta.gif">r</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> CY_dr </font> </td> <td valign="top"> <font face="arial,helvetica"> side force due to rudder </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.23 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">r positive left </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>l<sub><img src="../images/beta.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cl_beta </font> </td> <td valign="top"> <font face="arial,helvetica"> dihedral effect </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.1096 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>l<sub>p</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cl_p </font> </td> <td valign="top"> <font face="arial,helvetica"> roll damping </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.551 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>l<sub>r</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cl_r </font> </td> <td valign="top"> <font face="arial,helvetica"> roll moment due to yaw rate </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.0729 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>l<sub><img src="../images/delta.gif">a</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cl_da </font> </td> <td valign="top"> <font face="arial,helvetica"> roll moment due to aileron </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.172 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">a positive<br>right aileron up </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>l<sub><img src="../images/delta.gif">r</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cl_dr </font> </td> <td valign="top"> <font face="arial,helvetica"> roll moment due to rudder </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.0192 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">r positive left </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>n<sub><img src="../images/beta.gif"></sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cn_beta </font> </td> <td valign="top"> <font face="arial,helvetica"> weathercock stability </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.1444 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>n<sub>p</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cn_p </font> </td> <td valign="top"> <font face="arial,helvetica"> adverse yaw </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.0257 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>n<sub>r</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cn_r </font> </td> <td valign="top"> <font face="arial,helvetica"> yaw damping </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.1495 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>n<sub><img src="../images/delta.gif">a</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cn_da </font> </td> <td valign="top"> <font face="arial,helvetica"> yaw moment due to aileron </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> 0.0168 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">a positive<br>right aileron up </font> </td> </tr> <tr> <td valign="top"> <font face="arial,helvetica"> C<sub>n<sub><img src="../images/delta.gif">r</sub></sub> </font> </td> <td valign="top"> <font face="arial,helvetica"> Cn_dr </font> </td> <td valign="top"> <font face="arial,helvetica"> yaw moment due to rudder </font> </td> <td valign="top"> <font face="arial,helvetica"> 1/rad </font> </td> <td valign="top"> <font face="arial,helvetica"> -0.1152 </font> </td> <td valign="top"> <font face="arial,helvetica"> Roskam pg 489 </font> </td> <td valign="top"> <font face="arial,helvetica"> <img src="../images/delta.gif">r positive left </font> </td> </tr> </table> </center> <p> <hr> <p> <h5><b><center> <a href="http://amber.aae.uiuc.edu/~jscott/sis/">Flight Sim Home</a> * <a href="../index.html">Aircraft Models</a> * <a href="index.html">Cessna 310 Model</a> * <a href="refs.html">Cessna 310 References<br> </h5></b></center> </font> </body> </html>