NASA Reference Publication 1207 August 1988

Pardon me Doug for mentioning this report from NASA, but does this make sense to anyone here?

Below is my typed copy as I could not copy and paste it because it was locked. Please see the link below:

https://www.nasa.gov/centers/dryden/pdf/88104main_H-1391.pdf


NASA Reference Publication 1207  August 1988
Page 35 of 102

3     Concluding Remarks

This report derives a set of linearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a flat, nonrotating earth.  Both generalized and standard linear system equations are derived from nonlinear six degree-of-freedom equations of motion and a large collection of nonlinear observation (measurement) equations.

This derivation of a linear model is general and makes no assumption on either the reference (nominal) trajectory about which the model is linearized or the symmetry of the vehicle mass and aerodynamic properties.  (Emphasis added)




Ames Research Center
Dryden Flight Research Facility
National Aeronautics and Space Administration
Edwards, California, January 8, 1987



On page 6 of 102, it is also a copy of the above in the Summary, and in the Introduction in paragraph 2 it also mentions the stationary atmosphere over a flat, nonrotating earth, and in paragraph 3 it mentions straight and level flight.

Hi George,

It's normal to use simplified models for calculations.

By assuming a flat earth and a stationary atmosphere the calculations are made much simpler than by using actual conditions which may not matter much as a plane is extremely small when compared to the earth.

Simplified models are used all the time when calculating electronic circuits. The components are mostly considered ideal even though all components have parasitic values of other components in them. E.g. a resistor has besides its resistance also inductance and capacitance because of its physical dimensions. The inductance is because it has a magnetic field around it when current passes through it. The capacitance is because it is surrounded by dielectrics which has an electric field around the resistor when the resistor has a voltage difference to the ambient.

Capacitors and inductors have the same problem of not being ideal as in simplified mathematical models. Using non-idealized models makes the calculations very complex which is necessary when dealing with high frequencies.

Gabriel Kron made models of plane wings by curving the coordinate system around the wings which made the formulas simpler. The coordinate system then became complex instead. By curving the coordinate system along the curved earth the model becomes much simpler.

This image is taken from here: http://www.quantum-chemistry-history.com/Kron_Dat/Kron-1945/Kron-JAP-1945/Kron-JAP-1945.htm http://www.quantum-chemistry-history.com/Kron_Dat/Kron-1945/Kron-JAP-1945/Kron-JAP-1945.htm to show the idea for solving a non-linear problem.

Regards
Ole
 

---In [email protected], <canowindracd@...> wrote :

 Pardon me Doug for mentioning this report from NASA, but does this make sense to anyone here?


 Below is my typed copy as I could not copy and paste it because it was locked. Please see the link below:
 https://www.nasa.gov/centers/dryden/pdf/88104main_H-1391.pdf https://www.nasa.gov/centers/dryden/pdf/88104main_H-1391.pdf
 

 
NASA Reference Publication 1207  August 1988


 
 Page 35 of 102
 
 3     Concluding Remarks
 
 This report derives a set of linearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a flat, nonrotating earth.  Both generalized and standard linear system equations are derived from nonlinear six degree-of-freedom equations of motion and a large collection of nonlinear observation (measurement) equations.
 
 This derivation of a linear model is general and makes no assumption on either the reference (nominal) trajectory about which the model is linearized or the symmetry of the vehicle mass and aerodynamic properties.  (Emphasis added)
 
 
 
 
 Ames Research Center
 Dryden Flight Research Facility
 National Aeronautics and Space Administration
Edwards, California, January 8, 1987















 
 
 
 On page 6 of 102, it is also a copy of the above in the Summary, and in the Introduction in paragraph 2 it also mentions the stationary atmosphere over a flat, nonrotating earth, and in paragraph 3 it mentions straight and level flight.

Boy now you've done gone and started a fire  storm .
On May 10, 2018 12:21 PM, "[email protected] [EVGRAY]" <
[email protected]> wrote:

>
>
> Hi George,
>
> It's normal to use simplified models for calculations.
>
> By assuming a flat earth and a stationary atmosphere the calculations are
> made much simpler than by using actual conditions which may not matter much
> as a plane is extremely small when compared to the earth.
>
> Simplified models are used all the time when calculating electronic
> circuits. The components are mostly considered ideal even though all
> components have parasitic values of other components in them. E.g. a
> resistor has besides its resistance also inductance and capacitance because
> of its physical dimensions. The inductance is because it has a magnetic
> field around it when current passes through it. The capacitance is because
> it is surrounded by dielectrics which has an electric field around the
> resistor when the resistor has a voltage difference to the ambient.
>
> Capacitors and inductors have the same problem of not being ideal as in
> simplified mathematical models. Using non-idealized models makes the
> calculations very complex which is necessary when dealing with high
> frequencies.
>
> Gabriel Kron made models of plane wings by curving the coordinate system
> around the wings which made the formulas simpler. The coordinate system
> then became complex instead. By curving the coordinate system along the
> curved earth the model becomes much simpler.
> [image: Fig1-large500px.jpg]
> This image is taken from here: http://www.quantum-chemistry-
> history.com/Kron_Dat/Kron-1945/Kron-JAP-1945/Kron-JAP-1945.htm to show
> the idea for solving a non-linear problem.
>
> Regards
> Ole
>
>
> ---In [email protected], <canowindracd@...> wrote :
>
> Pardon me Doug for mentioning this report from NASA, but does this make
> sense to anyone here?
>
> Below is my typed copy as I could not copy and paste it because it was
> locked. Please see the link below:
>
> https://www.nasa.gov/centers/dryden/pdf/88104main_H-1391.pdf
>
>
> *NASA Reference Publication 1207  August 1988*
>
> Page 35 of 102
>
>
> *3     Concluding Remarks*
>
> This report derives a set of linearized system matrices for a rigid
> aircraft of constant mass, *flying in a stationary atmosphere over a
> flat, nonrotating earth.*  Both generalized and standard linear system
> equations are derived from nonlinear six degree-of-freedom equations of
> motion and a large collection of nonlinear observation (measurement)
> equations.
>
> This derivation of a linear model is general and makes no assumption on
> either the reference (nominal) trajectory about which the model is
> linearized or the symmetry of the vehicle mass and aerodynamic properties.
> * (Emphasis added)*
>
>
>
>
>
> *Ames Research Center*
>
> *Dryden Flight Research Facility*
>
> *National Aeronautics and Space AdministrationEdwards, California, January
> 8, 1987*
>
>
>
> On page 6 of 102, it is also a copy of the above in the *Summary, *and in
> the *Introduction *in paragraph 2 it also mentions *the stationary
> atmosphere over a flat, nonrotating earth,* and in paragraph 3 it
> mentions *straight and level flight.*
>
>
>
>
> 
>

https://www.google.com/search?q=flat+earth+turtle&client=firefox-b&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjAhP-q0P3aAhUqhOAKHYVOARcQ_AUICigB https://www.google.com/search?q=flat+earth+turtle&client=firefox-b&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjAhP-q0P3aAhUqhOAKHYVOARcQ_AUICigB



if you watch up closely one of the elephants is having a hard on ! 

every day there is a lunar eclipse you may see it! 

fuck flat earth ! fuck nasa ! & fuck that shit here !  

or just dive head on inside the fucking turtle cunt! 

(H) 


---In [email protected], <jglinski01@...> wrote :

 Boy now you've done gone and started a fire  storm . 
 On May 10, 2018 12:21 PM, "onielsen@... mailto:onielsen@... [EVGRAY]" <[email protected] mailto:[email protected]> wrote:
   Hi George,

It's normal to use simplified models for calculations.

By assuming a flat earth and a stationary atmosphere the calculations are made much simpler than by using actual conditions which may not matter much as a plane is extremely small when compared to the earth.

Simplified models are used all the time when calculating electronic circuits. The components are mostly considered ideal even though all components have parasitic values of other components in them. E.g. a resistor has besides its resistance also inductance and capacitance because of its physical dimensions. The inductance is because it has a magnetic field around it when current passes through it. The capacitance is because it is surrounded by dielectrics which has an electric field around the resistor when the resistor has a voltage difference to the ambient.

Capacitors and inductors have the same problem of not being ideal as in simplified mathematical models. Using non-idealized models makes the calculations very complex which is necessary when dealing with high frequencies.

Gabriel Kron made models of plane wings by curving the coordinate system around the wings which made the formulas simpler. The coordinate system then became complex instead. By curving the coordinate system along the curved earth the model becomes much simpler.

This image is taken from here: http://www.quantum-chemistry- history.com/Kron_Dat/Kron- 1945/Kron-JAP-1945/Kron-JAP- 1945.htm http://www.quantum-chemistry-history.com/Kron_Dat/Kron-1945/Kron-JAP-1945/Kron-JAP-1945.htm to show the idea for solving a non-linear problem.

Regards
Ole

 

---In [email protected] mailto:[email protected], <canowindracd@...> wrote :

 Pardon me Doug for mentioning this report from NASA, but does this make sense to anyone here?


 Below is my typed copy as I could not copy and paste it because it was locked. Please see the link below:
 https://www.nasa.gov/centers/ dryden/pdf/88104main_H-1391. pdf https://www.nasa.gov/centers/dryden/pdf/88104main_H-1391.pdf
 

 
NASA Reference Publication 1207  August 1988


 
 Page 35 of 102
 
 3     Concluding Remarks
 
 This report derives a set of linearized system matrices for a rigid aircraft of constant mass, flying in a stationary atmosphere over a flat, nonrotating earth.  Both generalized and standard linear system equations are derived from nonlinear six degree-of-freedom equations of motion and a large collection of nonlinear observation (measurement) equations.
 
 This derivation of a linear model is general and makes no assumption on either the reference (nominal) trajectory about which the model is linearized or the symmetry of the vehicle mass and aerodynamic properties.  (Emphasis added)
 
 
 
 
 Ames Research Center
 Dryden Flight Research Facility
 National Aeronautics and Space Administration
Edwards, California, January 8, 1987















 
 
 
 On page 6 of 102, it is also a copy of the above in the Summary, and in the Introduction in paragraph 2 it also mentions the stationary atmosphere over a flat, nonrotating earth, and in paragraph 3 it mentions straight and level flight.