<html>
<head>
<title>X-15 -- Linear Model</title>
</head>

<BODY 
bgcolor="FFFFFF" text="000000" link="0800FF" 
vlink="FF0000" alink="FF0FF8">

<font face="arial,helvetica">

<center><h1><b><i>
X-15 -- 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 April 11, 2000</i></b>

<p>

The linear aerodynamics model uses stability derivatives to approximate 
actual aircraft behavior.  The X-15 linear model is based on the 
following flight conditions:

<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">
	60000
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt communications
	</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">
	?
	</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">
	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">
	?
	</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">
	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">
	?
	</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.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">
	22
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	22.36
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	10.27
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	200
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	+35
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	
	</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">
	-15
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	
	</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">
	+15
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	
	</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">
	-15
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	
	</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">
	GTOW
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Weight
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	gross takeoff weight
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	lb
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	31240
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	3650
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	80000
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	82000
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	590
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</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">
	51090
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	sea level
	</font>
	</td>
</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">
	57000
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	Berndt site
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	@ 45000 ft
	</font>
	</td>
</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">
	70000
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	David pg 706
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	@ peak altitude
	</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">
	0.095
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	0.6
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	not available
	<p>
	<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">
	-
	</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>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">
	3.5
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-
	</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>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">
	-
	</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>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">
	0.50
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-
	</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><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">
	-1.2
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	0
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-6.2
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-0.9
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-1.4
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-
	</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>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">
	-
	</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>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">
	0.05
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	0.45
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-0.01
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-0.35
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	0.04
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-0.06
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	0.012
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	0.5
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-1.5
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-0.04
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">
	-0.3
	</font>
	</td>

	<td valign="top">
	<font face="arial,helvetica">
	JSBsim
	</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">X-15 Model</a> * 
<a href="refs.html">X-15 References<br>
</h5></b></center>

</font>
</body>
</html>