<Text-field style="Heading 1" layout="Heading 1">Forward limit</Text-field>

<Text-field style="Heading 1" layout="Heading 1">Maneuvers</Text-field>

At first, we will write few definitions of turns:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= - the angular rhythm of the aircraft around the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EqYFlfX0JvZHlgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn axis.

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= - load factor.

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

In turns we define the additional lift and moment from the maneuver:

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

Now, let write the expressions of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EpYENfX0wscWBGJy1JI21vR0YkNi1RIn5GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1GMDYtUSIsRidGM0Y2L0Y6USV0cnVlRidGO0Y9Rj9GQUZDRkUvRklRLDAuMzMzMzMzM2VtRidGLy1GLDYjUSlgQ19fbSxxYEYnRjM=:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">For the tail</Text-field>

We define the change in the AOA as (assuming small angle)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

Therefore, the change in the lift is:

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

And, 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 so we get:

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

And

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1ErYENfX20scSxUYEYnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRjA2LVEqJnVtaW51czA7RidGM0Y2RjlGO0Y9Rj9GQUZDL0ZGUSwwLjIyMjIyMjJlbUYnL0ZJRk4tRiw2I1ErYENfX0wscSxUYEYnLUYwNi1RJyZzZG90O0YnRjNGNkY5RjtGPUY/RkFGQy9GRlEmMC4wZW1GJy9GSUZXLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2I1EoYHhfX2NnYEYnLUYwNi1RKCZtaW51cztGJ0YzRjZGOUY7Rj1GP0ZBRkNGTUZPLUYsNiNRJ2B4X190YEYnRjM=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSlDX19tLHEsVEdGKCwkKixJJGV0YUdGKCIiIkklU19fdEdGKEYxSSVTX193R0YoISIiSTBDX19MLCZhbHBoYTtfX1RHRihGMSwmSSZ4X19jZ0dGKEYxSSV4X190R0YoRjQiIiMhIiM3I0Yu

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">For the canard</Text-field>

For canard, the change in the AOA is:

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

And therefore,

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Forward limit in maneuver</Text-field>

In maneuver, the new moment equation is:

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Placing the forward limit conditions we get:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyIiISwqSStDX19tMCxOX18wRzYiIiIiKiZJLyZkZWx0YTtfX2UsbWluR0YmRidJM0NfX20sJmRlbHRhO2UsTl9fMEdGJkYnRicqLEksQ19fbSxxLE5fXzBHRiZGJ0kpQ19fTCxtYXhHRiZGJ0kjbnVHRiZGJ0kjbXVHRiYhIiJJIm5HRiZGMCNGJyIiIyomRi1GJywmSSZ4X19uMUdGJkYnSSVOX18wR0YmRjBGJ0Yw

So the forward limit is:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kmeF9fbjFHNiIsKCoqSSxDX19tLHEsTl9fMEdGJCIiIkkjbXVHRiQhIiJJIm5HRiRGKkkjbnVHRiRGKCNGKCIiIyomLCYqJkkvJmRlbHRhO19fZSxtaW5HRiRGKEkzQ19fbSwmZGVsdGE7ZSxOX18wR0YkRihGKEkrQ19fbTAsTl9fMEdGJEYoRihJKUNfX0wsbWF4R0YkRipGKEklTl9fMEdGJEYo

We can see that the expression LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYpLUkjbWlHRiQ2I1E4YENfX20scSxfX21fXyxxX18sTl9fMGBGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GMTYlUSUmbnU7RicvJSdpdGFsaWNHRj1GOC8lK2ZvcmVncm91bmRHUSpbMCwwLDI1NV1GJy8lKXJlYWRvbmx5R1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EqMkR+T3V0cHV0RidGOC1GIzYrLUkjbW5HRiQ2JFEiMkYnRjhGNC1GMTYlUScmIzk1NjtGJ0ZSRjhGNC1GMTYlUSJuRicvRlNGWS9GOVEnaXRhbGljRidGVEZXRlpGOC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGW3AvJSliZXZlbGxlZEdGPS1GMTYjUSFGJ0Y4 has negative contribution.

Hence, in maneuvers the forward limit goes backward!

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Maneuver point</Text-field>

Maneuver point - the position of the CG where we do not need an additional aileron tilt in order to change the load factor.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

In order to find the maneuver point we need to isolate the aileron angle from the moment equation ( where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EnYENfX0xgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y0USdpdGFsaWNGJy1GMDYtUScmc2RvdDtGJ0YzRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGVi1GLDYjUStgQ19fTCxuPTFgRidGMw== ) and derivate the expression: 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 . From here we can isolate the maneuver point LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fX21gRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY6LUkjbWlHRiQ2JVEkZXEzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2I1EnYENfX21gRictRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tRiw2I1EtYENfX20wLE5fXzBgRictRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZmbi1GLDYjUTRgQ19fbSwmYWxwaGE7LE5fXzBgRictRjY2LVEnJnNkb3Q7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORl9vLUYsNiVRKCZhbHBoYTtGJy9GMEY9RjlGWC1GLDYjUTVgQ19fbSwmZGVsdGE7ZSxOX18wYEYnRltvLUYsNiNRLWAmZGVsdGE7X19lYEYnRlgtRiw2I1EuYENfX20scSxOX18wYEYnRltvLUkmbWZyYWNHRiQ2KC1GLDYjUSdgQ19fTGBGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjlGW28tRiw2JVElJm11O0YnRmRvRjkvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmJxLyUpYmV2ZWxsZWRHRj1GW28tRl9wNigtRiw2JVElJm51O0YnRmRvRjktRiM2Iy1GLDYlUSJuRidGL0YyRl1xRmBxRmNxRmVxLUY2Ni1RKCZtaW51cztGJ0Y5RjtGPkZARkJGREZGRkhGZW5GZ24tRiw2I1EnYENfX3dgRidGW28tRiw2I1EzYHhfX2NnJm1pbnVzO05fXzBgRictRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH

The maneuver point conditions:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSVzdWJzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiotRiw2I1EzYHhfX2NnJm1pbnVzO05fXzBgRictSSNtb0dGJDYtUSI9RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZKLyUpc3RyZXRjaHlHRkovJSpzeW1tZXRyaWNHRkovJShsYXJnZW9wR0ZKLyUubW92YWJsZWxpbWl0c0dGSi8lJ2FjY2VudEdGSi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlktRiw2I1EnYE5fX21gRictRkM2LVEoJm1pbnVzO0YnRkZGSEZLRk1GT0ZRRlNGVS9GWFEsMC4yMjIyMjIyZW1GJy9GZW5GXW8tRiw2I1EnYE5fXzBgRictRkM2LVEiLEYnRkZGSC9GTEY2Rk1GT0ZRRlNGVS9GWFEmMC4wZW1GJy9GZW5RLDAuMzMzMzMzM2VtRictRiw2JVElZXZhbEYnRjRGNy1GOzYkLUYjNiUtRiw2JVEkZXEzRidGNEY3RmJvLUY7NiYtRiM2Oi1GLDYjUSdgQ19fd2BGJ0ZCLUYsNiVRIm5GJ0Y0RjctRkM2LVEnJnNkb3Q7RidGRkZIRktGTUZPRlFGU0ZVRmZvL0ZlbkZnby1GLDYjUStgQ19fTCxuPTFgRidGYm8tRiw2I1EnYENfX0xgRidGQkZbcUZecUZicUZiby1GLDYjUTRgQ19fbSwmYWxwaGE7LE5fXzBgRidGQi1JI21uR0YkNiRRIjBGJ0ZGRmJvLUYsNiNRJ2BDX19tYEYnRkJGW3JGYm8tRiw2JVElJm51O0YnL0Y1RkpGRkZCLUYsNiVRJmFwcGx5RidGNEY3LUY7NiQtRiM2JUZickZib0ZbcUZGRkYvJSVvcGVuR1EifGZyRicvJSZjbG9zZUdRInxockYnRkZGRkYr

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyIiISwqSStDX19tMCxOX18wRzYiIiIiKiZJM0NfX20sJmRlbHRhO2UsTl9fMEdGJkYnSSsmZGVsdGE7X19lR0YmRidGJyoqSSxDX19tLHEsTl9fMEdGJkYnSSlDX19MLG49MUdGJkYnLUkjbnVHRiY2I0kibkdGJkYnSSNtdUdGJiEiIiNGJyIiIyooRjFGJ0YtRicsJkklTl9fbUdGJkYnSSVOX18wR0YmRjNGJ0Yz

isolating LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn :

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0krJmRlbHRhO19fZUc2IiwkKiYsKEkrQ19fbTAsTl9fMEdGJCIiIioqSSxDX19tLHEsTl9fMEdGJEYpSSlDX19MLG49MUdGJEYpLUkjbnVHRiQ2I0kibkdGJEYpSSNtdUdGJCEiIiNGKSIiIyooRjBGKUYsRiksJkklTl9fbUdGJEYpSSVOX18wR0YkRjJGKUYyRilJM0NfX20sJmRlbHRhO2UsTl9fMEdGJEYyRjI=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

So the maneuver point is:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvSSVOX19tR0YoLCYqKEksQ19fbSxxLE5fXzBHRigiIiItSSVkaWZmR0YmNiQtSSNudUdGKDYjSSJuR0YoRjhGMUkjbXVHRighIiIjRjEiIiNJJU5fXzBHRihGMUYr

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Exercise</Text-field>

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjpGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4wZW1GJy8lJmRlcHRoR0ZULyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUYsNiNRIUYnLUZQNiZGUkZVRlgvRmVuUSVhdXRvRictRiw2JVEqaW50ZXJmYWNlRidGL0YyLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEsdHlwZXNldHRpbmdGJ0YvRjItRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tRiw2JVEpZXh0ZW5kZWRGJ0YvRjJGOUY1

In given aircraft, the most aft CG is at the same place where the wing aerodynamic center. The shift range of the CG is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEjMTJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0Yv chord. The requested stability gap is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEoJiM5MTY7eEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzE1RidGOS1GNjYtUSJ+RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORlctRiw2JVEiJUYnRi9GMkY5. Also keep that the CG will not pass the forward limit.

The given data:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSVTX193RzYiIiNOISIi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSVTX190RzYiLCRJJVNfX3dHRiUjIiIiIiInISIiLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSJjRzYiJCIjTCEiIkYo

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+STBDX19MLCZhbHBoYTtfX1RHNiIkIiQjUSEiIyEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+STBDX19MLCZhbHBoYTtfX1dHNiIkIiRGJiEiIyEiIg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

QyQ+SStDX19tMCxOX18wRzYiJCIjJikhIiQhIiI=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SS8mZGVsdGE7X19lLG1heEc2Ii1JJGFic0clKnByb3RlY3RlZEc2Iy1JIipHRig2JCwkSSNQaUdGKCIjPyMiIiIiJCE9ISIi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSRyaG9HNiIiIiIhIiI=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSRldGFHNiIiIiIhIiI=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+STMmZXBzaWxvbjtfXyZhbHBoYTtHNiIkIiIlISIiRig=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSd4X193LXRHNiIsJCokSSJjR0YlISIiJCIkNCJGKUYp

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

QyQ+STBDX19MLCZkZWx0YTtfX2VHNiIkIiNSISIjISIi

JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSlDX19MLG1heEc2IiQiIzkhIiJGKA==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Art 1</Text-field>

Does this aircraft fulfill the stability gap?

<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>

At first, we will calculate the neutral point LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn.

QyQ+SSRlcTFHNiIvSSpDX19NLE5fXzBHRiUsLEkrQ19fbTAsTl9fMEdGJSIiIiooSTBDX19MLCZhbHBoYTtfX1dHRiVGKkkmYWxwaGFHRiVGKkkqeF9fdy1OX18wR0YlRipGKiowSSRldGFHRiVGKkklU19fdEdGJUYqSSVTX193R0YlISIiSTBDX19MLCZhbHBoYTtfX1RHRiVGKiwmRipGKkkzJmVwc2lsb247X18mYWxwaGE7R0YlRjNGKkYtRipJKnhfX3QtTl9fMEdGJUYqRioqKEkwQ19fTCwmZGVsdGE7X19lR0YlRipJKyZkZWx0YTtfX2VHRiVGKkkreF9fY2ctTl9fMEdGJUYqRioqJkklQ19fd0dGJUYqRjtGKkYzRjM=

In order to find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn we need to 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 :

LUkoaXNvbGF0ZUc2IjYkLUklc3Vic0clKnByb3RlY3RlZEc2JS9JKnhfX3ctTl9fMEdGJCwmSSV4X193R0YkIiIiSSVOX18wR0YkISIiL0kqeF9fdC1OX18wR0YkLCZJJXhfX3RHRiRGLkYvRjAtSSVkaWZmR0YoNiRJJGVxMUdGJEkmYWxwaGFHRiRGLw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0klTl9fMEc2IiwmSSV4X193R0YkJCIrXkk4QyQqISM1SSV4X190R0YkJCIrKVxwJ2VuISM2

if we choose LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYHhfX3dgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn as reference point, we get that 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 .

LUklc3Vic0clKnByb3RlY3RlZEc2JS9JJXhfX3dHNiIiIiEvSSV4X190R0YoLCRJJ3hfX3ctdEdGKCEiIi9JJU5fXzBHRigsJkYnJCIrXkk4QyQqISM1RiskIispXHAnZW4hIzY=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0klTl9fMEc2IiQhKzshNENCIyEjNQ==

LUknYXNzaWduRyUqcHJvdGVjdGVkRzYjL0klTl9fMEc2IiQhKzshNENCIyEjNQ==

We can take the backward CG LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEjMjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0Yv and still be stable. Indeed, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbW5HRiQ2JFEjMjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GMzYtUSI+RidGL0Y2RjlGO0Y9Rj9GQUZDL0ZGUSwwLjI3Nzc3NzhlbUYnL0ZJRlctRiw2JFEjMTVGJ0YvRjJGSkYv!

Now we will check the forward limit:

QyQ+SSRlcTJHNiIvSSVDX19tR0YlLCoqJkklQ19fd0dGJSIiIkkreF9fY2ctTl9fMEdGJUYrISIiKiZJJmFscGhhR0YlRitJMkNfX20sJmFscGhhOyxOX18wR0YlRitGKyomSSsmZGVsdGE7X19lR0YlRitJM0NfX20sJmRlbHRhO2UsTl9fMEdGJUYrRitJK0NfX20wLE5fXzBHRiVGK0Yt

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

Placing the forward limit properties:

LUkoaXNvbGF0ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUklc3Vic0dGJTYkL0kreF9fY2ctTl9fMEdGJywmSSZ4X19uMUdGJyIiIkklTl9fMEdGJyEiIi1JJWV2YWxHRiU2JEkkZXEyR0YnPCYvSSVDX19tR0YnIiIhL0klQ19fd0dGJ0kpQ19fTCxtYXhHRicvSSsmZGVsdGE7X19lR0YnLCRJLyZkZWx0YTtfX2UsbWF4R0YnRjIvSTJDX19tLCZhbHBoYTssTl9fMEdGJ0Y6Ri8=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kmeF9fbjFHNiIsJiQhK2ZoRUQ7ISM1IiIiKiZJM0NfX20sJmRlbHRhO2UsTl9fMEdGJEYpSSNQaUclKnByb3RlY3RlZEdGKSQhK1B6XU96ISM2

We can see that in order to find the forward limit we need to find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1FGYENfX20sJmRlbHRhO2UsX19tX18sJmRlbHRhO2VfXyxOX18wYEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==:

QyQ+STNDX19tLCZkZWx0YTtlLE5fXzBHNiIqJkkwQ19fTCwmZGVsdGE7X19lR0YlIiIiSSp4X190LU5fXzBHRiVGKCEiIg==

where the distance

QyQ+SSp4X190LU5fXzBHNiIsJkkneF9fdy10R0YlISIiSSVOX18wR0YlRihGKA==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

PkkmeF9fbjFHNiItSSZldmFsZkclKnByb3RlY3RlZEc2Iy1JJHJoc0dGJzYjL0YjLCYkIStmaEVEOyEjNSIiIiomSTNDX19tLCZkZWx0YTtlLE5fXzBHRiRGMUkjUGlHRidGMSQhK1B6XU96ISM2

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZ4X19uMUdGKCQiK15TXnA4ISM1NyNGLg==

We got that the forward limit is larger than the frontal CG point ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFElMTMuNkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSIlRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= ).

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH

<Text-field style="Heading 2" layout="Heading 2">Art 2</Text-field>

We add payload at the aircraft nose, because of this the aircraft CG shifts LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEjMTBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0Yv chord forward.

Because of this change we suggest to place canard LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiNUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNigtRjU2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YvL0krbXNlbWFudGljc0dGJFElVW5pdEYnLyUlb3BlbkdRKCZsb2JyaztGJy8lJmNsb3NlR1EoJnJvYnJrO0YnRkNGL0Y0Ri8= forward than LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYHhfX3dgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn.

Does the new aircraft fulfill the stability gap?

The given data for this article:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SStDX19MLG1heCwyRzYiJCIjOiEiIkYo

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSVTX19jRzYiIiIlISIi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQvSSh4X193LWNnRzYiJCEiIkYnRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+STBDX19MLCZhbHBoYTtfX2NHNiJJMENfX0wsJmFscGhhO19fVEdGJSEiIg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

QyQ+SSdXZWlnaHRHNiItSSIqRyUqcHJvdGVjdGVkRzYkIiUrUyQiJCIpKiEiIyEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSd4X19jLXdHNiIsJCokSSJjR0YlISIiIiImRik=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>

LUkpdW5hc3NpZ25HNiI2Iy5JKnhfX3QtTl9fMEdGJA==

At first, we need to calculate the new neutral point:

QyQ+SSRlcTNHNiIvSSpDX19NLE5fXzBHRiUsLkkrQ19fbTAsTl9fMEdGJSIiIiooSTBDX19MLCZhbHBoYTtfX1dHRiVGKkkmYWxwaGFHRiVGKkkqeF9fdy1OX18wR0YlRipGKiowSSRldGFHRiVGKkklU19fdEdGJUYqSSVTX193R0YlISIiSTBDX19MLCZhbHBoYTtfX1RHRiVGKiwmRipGKkkzJmVwc2lsb247X18mYWxwaGE7R0YlRjNGKkYtRipJKnhfX3QtTl9fMEdGJUYqRioqLEkwQ19fTCwmYWxwaGE7X19jR0YlRipGLUYqSSVTX19jR0YlRipGMkYzSSp4X19jLU5fXzBHRiVGKkYqKihJMENfX0wsJmRlbHRhO19fZUdGJUYqSSsmZGVsdGE7X19lR0YlRipJK3hfX2NnLU5fXzBHRiVGKkYqKiZJJUNfX3dHRiVGKkY/RipGM0Yz

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

In order to find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn we need to 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 :

LUkoaXNvbGF0ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUklc3Vic0dGJTYmL0kqeF9fdy1OX18wR0YnLCZJJXhfX3dHRiciIiJJJ05fXzAsMkdGJyEiIi9JKnhfX3QtTl9fMEdGJywmSSV4X190R0YnRjBGMUYyL0kqeF9fYy1OX18wR0YnLCZJJXhfX2NHRidGMEYxRjItSSVkaWZmR0YlNiRJJGVxM0dGJ0kmYWxwaGFHRidGMQ==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0knTl9fMCwyRzYiLChJJXhfX3dHRiQkIituMmNiJykhIzVJJXhfX3RHRiQkIitTKFxTRichIzZJJXhfX2NHRiQkIitoRE1xckYt

if we choose LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EoYHhfX2NnYEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw== as reference point, we get that 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:

LUklc3Vic0clKnByb3RlY3RlZEc2Ji9JJXhfX3dHNiIkISIiRiovSSV4X190R0YoLCZJJ3hfX3ctdEdGKEYqRikiIiIvSSV4X19jR0YoLCZJJ3hfX2Mtd0dGKEYvRilGLy9JJ05fXzAsMkdGKCwoRickIituMmNiJykhIzVGLCQiK1MoXFNGJyEjNkYxJCIraERNcXJGPA==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0knTl9fMCwyRzYiJCErLUAjZik+ISM1

LUknYXNzaWduRyUqcHJvdGVjdGVkRzYjL0knTl9fMCwyRzYiJCErLUAjZik+ISM1

We got stability gap of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEjMjBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0Yv and we still stable.

Now we will check the forward limit:

PkkkZXE0RzYiL0klQ19fbUdGJCwqKiZJJUNfX3dHRiQiIiJJK3hfX2NnLU5fXzBHRiRGKiEiIiomSSZhbHBoYUdGJEYqSTJDX19tLCZhbHBoYTssTl9fMEdGJEYqRioqJkkrJmRlbHRhO19fZUdGJEYqSTVDX19tLCZkZWx0YTtlLE5fXzAsMkdGJEYqRipJK0NfX20wLE5fXzBHRiRGKg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTRHRigvSSVDX19tR0YoLCoqJkklQ19fd0dGKCIiIkkreF9fY2ctTl9fMEdGKEYzISIiKiZJMkNfX20sJmFscGhhOyxOX18wR0YoRjNJJmFscGhhR0YoRjNGMyomSTVDX19tLCZkZWx0YTtlLE5fXzAsMkdGKEYzSSsmZGVsdGE7X19lR0YoRjNGMyQiIyYpISIkRjM3I0Yu

Placing the forward limit properties:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUkmZXZhbGZHJSpwcm90ZWN0ZWRHNiMtSShpc29sYXRlRzYkRiRJKF9zeXNsaWJHNiI2JC1JJXN1YnNHRiQ2JC9JK3hfX2NnLU5fXzBHRiosJkkoeF9fbjEsMkdGKiIiIkknTl9fMCwyR0YqISIiLUklZXZhbEdGJDYkSSRlcTRHRio8Ji9JJUNfX21HRioiIiEvSSVDX193R0YqSSlDX19MLG1heEdGKi9JKyZkZWx0YTtfX2VHRiosJEkvJmRlbHRhO19fZSxtYXhHRipGNS9JMkNfX20sJmFscGhhOyxOX18wR0YqRj1GMg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0koeF9fbjEsMkc2IiwmJCErWCN6KHk4ISM1IiIiSTVDX19tLCZkZWx0YTtlLE5fXzAsMkdGJCQhKy52SyRcI0Yo

We can see that in order to find the forward limit we need to find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1E3YENfX20sJmRlbHRhO2UsTl9fMCwyYEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==:

QyQ+STVDX19tLCZkZWx0YTtlLE5fXzAsMkc2IiomSTBDX19MLCZkZWx0YTtfX2VHRiUiIiJJLHhfX3QtTl9fMCwyR0YlRighIiI=

where the distance

PkkseF9fdC1OX18wLDJHNiIsJkkneF9fdy10R0YkISIiSSdOX18wLDJHRiRGJw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSx4X190LU5fXzAsMkdGKCQhKyQ0UVc1JCEiKjcjRi4=

PkkmeF9fbjFHNiItSSZldmFsZkclKnByb3RlY3RlZEc2Iy1JJHJoc0dGJzYjL0koeF9fbjEsMkdGJCwmJCErWCN6KHk4ISM1IiIiSTVDX19tLCZkZWx0YTtlLE5fXzAsMkdGJCQhKy52SyRcI0Yx

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZ4X19uMUdGKCQiKyhIcCpSOyEjNTcjRi4=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

We got that the forward limit is larger than the frontal CG point ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFElMTYuNEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUSIlRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= ).

JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Art 3</Text-field>

Does it is possible to turn at maximal load factor of

QyQ+SSduX19tYXhHNiIiIiQhIiI=

? What is the maneuver point?

JSFH

<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>

We need to find the tail and the canard contribution to the moment due to the turn.JSFH

The tail contribution:

QyQ+STBDX19tLHFUYWlsLE5fXzBHNiIsJCosSSRldGFHRiUiIiJJJVNfX3RHRiVGKUklU19fd0dGJSEiIkkwQ19fTCwmYWxwaGE7X19UR0YlRilJLHhfX3QtTl9fMCwyR0YlIiIjISIjRiw=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

The canard contribution:

QyQ+STJDX19tLHFDYW5hcmQsTl9fMEc2IiwkKipJJVNfX2NHRiUiIiJJJVNfX3dHRiUhIiJJMENfX0wsJmFscGhhO19fY0dGJUYpSSx4X19jLU5fXzAsMkdGJSIiIyEiI0Yr

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

So the total turn contribution is:

QyQ+SSxDX19tLHEsTl9fMEc2IiwmSTBDX19tLHFUYWlsLE5fXzBHRiUiIiJJMkNfX20scUNhbmFyZCxOX18wR0YlRighIiI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

We know that

QyQ+SSx4X19jLU5fXzAsMkc2IiwmSSd4X19jLXdHRiUiIiIkRighIiJGKEYq

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

PkkjbXVHNiItSSlzaW1wbGlmeUdGJDYjKixJJ1dlaWdodEdGJCIiIi1JIi9HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IyQiJCIpKiEiI0YqSSRyaG9HRiQhIiJJJVNfX3dHRiRGNUkiY0dGJEY1

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNtdUdGKCQiK2pNP2pNISIpNyNGLg==

So, the forward limit is:

PkkreF9fbjEsdHVybkc2IiwmSSZ4X19uMUdGJCIiIioqSSxDX19tLHEsTl9fMEdGJEYnLUkiL0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjLCRJI211R0YkIiIjRidJKiZudTtfX21heEdGJEYnSSduX19tYXhHRiQhIiJGJw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSt4X19uMSx0dXJuR0YoLCYkIisoSHAqUjshIzUiIiJJKiZudTtfX21heEdGKCQhK3FNKT4rKCEjNjcjRi4=

So, for horizontal turn:

QyQ+STJ2X19tYXgsaG9yaXpvbnRhbEc2IiwmSSduX19tYXhHRiUiIiIqJEYnISIiRipGKg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

And the forward limit is:JSFH

Pkk2eF9fbjEsdHVybixob3Jpem9udGFsRzYiLUklZXZhbEclKnByb3RlY3RlZEc2JEkreF9fbjEsdHVybkdGJC9JKiZudTtfX21heEdGJEkydl9fbWF4LGhvcml6b250YWxHRiQ=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STZ4X19uMSx0dXJuLGhvcml6b250YWxHRigkISomSEVzQSEjNTcjRi4=

And it can be seen that we do not have the required stability gap.

JSFH

So, for vertical turn:

QyQ+STB2X19tYXgsdmVydGljYWxHNiIsJkknbl9fbWF4R0YlIiIiLUkkY29zR0YlNiNJI1BpRyUqcHJvdGVjdGVkRyEiIkYu

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

And the forward limit is:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Pkk0eF9fbjEsdHVybix2ZXJ0aWNhbEc2Ii1JJWV2YWxHJSpwcm90ZWN0ZWRHNiRJK3hfX24xLHR1cm5HRiQvSSombnU7X19tYXhHRiRJMHZfX21heCx2ZXJ0aWNhbEdGJA==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STR4X19uMSx0dXJuLHZlcnRpY2FsR0YoJCErIjRDMzsiISM1NyNGLg==

And it can be seen that we do not have the required stability gap.

Tue maneuver point is:

PkklTl9fbUc2IiwmSSdOX18wLDJHRiQiIiIqKEksQ19fbSxxLE5fXzBHRiRGJy1JIi9HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IywkSSNtdUdGJCIiI0YnLUklZGlmZkdGLTYkLUkjbnVHRiQ2I0kibkdGJEY5RidGJw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVOX19tR0YoLCYkISstQCNmKT4hIzUiIiItSSVkaWZmR0YmNiQtSSNudUdGKDYjSSJuR0YoRjkkIStUXWYrQEYxNyNGLg==

Where in our turn

QyQ+SSNudUc2ImYqNiNJIm5HRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwmOSQiIiIqJEYtISIiRjBGJUYlRiVGMA==

so the maneuver point is:

PkkzTl9fbSx2ZXJ0aWNhbH50dXJuRzYiLUklZXZhbEclKnByb3RlY3RlZEc2JEklTl9fbUdGJC9JIm5HRiRJJ25fX21heEdGJA==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STNOX19tLHZlcnRpY2FsfnR1cm5HRigkISsjZjsqPlYhIzU3I0Yu

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<Text-field style="Heading 2" layout="Heading 2">Art 4</Text-field>

The aircrafts in straight and level flight, with the configuration of the first article (without canard).

The aileron operator has been broken.

Find the AOA, the aileron angle and the trim tab angle.

The given data for this question:

QyQ+SSZDX19oMEc2IiIiISEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+STBDX19oLCZkZWx0YTtfX2VHNiIkISQmeSEiJCEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+STBDX19oLCZhbHBoYTtfX1RHNiIkISR2JyEiJCEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+STBDX19oLCZkZWx0YTtfX3RHNiIkISImISIjISIi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSdDX19oLHFHNiIkISImISIjISIi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSdXZWlnaHRHNiItSSIqRyUqcHJvdGVjdGVkRzYkIiUrTiQiJCIpKiEiIyEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyQ+SSJWRzYiIiNxISIi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>

For straight and level flight,

PkkpQ19fTCxuPTFHNiIqJkknV2VpZ2h0R0YkIiIiLUkiL0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjLCQqKEkkcmhvR0YkRidJIlZHRiQiIiNJJVNfX3dHRiRGJyNGJ0YyRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSlDX19MLG49MUdGKCQiK0s7My9TISM1NyNGLg==

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PkktQ19fTCwmYWxwaGE7RzYiLCZJMENfX0wsJmFscGhhO19fV0dGJCIiIiosSSRldGFHRiRGJ0klU19fdEdGJEYnSSVTX193R0YkISIiSTBDX19MLCZhbHBoYTtfX1RHRiRGJywmRidGJ0kzJmVwc2lsb247X18mYWxwaGE7R0YkRixGJ0Yn

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS1DX19MLCZhbHBoYTtHRigkIisrKytfYyEiKjcjRi4=

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And we found that

QyQ+STNDX19tLCZkZWx0YTtlLE5fXzBHNiIqJkkwQ19fTCwmZGVsdGE7X19lR0YlIiIiSSp4X190LU5fXzBHRiVGKCEiIg==

where the distance

QyQ+SSp4X190LU5fXzBHNiIsJkkneF9fdy10R0YlISIiSSVOX18wR0YlRihGKA==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

We will write the moment equation:

QyQ+SSRlcTVHNiIvSSpDX19tLE5fXzBHRiUsKComSSsmZGVsdGE7X19lR0YlIiIiSTNDX19tLCZkZWx0YTtlLE5fXzBHRiVGK0YrKiZJKUNfX0wsbj0xR0YlRitJK3hfX2NnLU5fXzBHRiVGKyEiIkkrQ19fbTAsTl9fMEdGJUYrRjA=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

PkkrJmRlbHRhO19fZUc2Ii1JJnNvbHZlR0YkNiQtSSVzdWJzRyUqcHJvdGVjdGVkRzYlL0kqQ19fbSxOX18wR0YkIiIhL0kreF9fY2ctTl9fMEdGJEklTl9fMEdGJEkkZXE1R0YkRiM=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSsmZGVsdGE7X19lR0YoJCIrI1x3PVgiISM1NyNGLg==

The lift equation:

QyQ+SSRlcTZHNiIvSSVDX19MR0YlLCgqJkkmYWxwaGFHRiUiIiJJLUNfX0wsJmFscGhhO0dGJUYrRisqJkkrJmRlbHRhO19fZUdGJUYrSTBDX19MLCZkZWx0YTtfX2VHRiVGK0YrSSZDX19MMEdGJUYrISIi

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

PkkmYWxwaGFHNiItSSZzb2x2ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYkLUklc3Vic0dGKDYlL0klQ19fTEdGJEkpQ19fTCxuPTFHRiQvSSZDX19MMEdGJCIiIUkkZXE2R0YkRiM=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZhbHBoYUdGKCQiKyxvYCMzJyEjNjcjRi4=

To find the trim tab:

we know that we are in free aileron and there for, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYENfX2hgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSIwRidGM0Yz , we are not maneuvering ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EpYENfX2gscWBGJy1JI21vR0YkNi1RIj1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1JI21uR0YkNiRRIjBGJ0YzRjM= ):

PkkkZXE3RzYiL0klQ19faEdGJCwsKiZJJ0NfX2gscUdGJCIiIkkicUdGJEYqRioqJkkrJmFscGhhO19fVEdGJEYqSTBDX19oLCZhbHBoYTtfX1RHRiRGKkYqKiZJKyZkZWx0YTtfX2VHRiRGKkkwQ19faCwmZGVsdGE7X19lR0YkRipGKiomSSsmZGVsdGE7X190R0YkRipJMENfX2gsJmRlbHRhO19fdEdGJEYqRipJJkNfX2gwR0YkRio=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTdHRigvSSVDX19oR0YoLCpJInFHRigkISImISIjSSsmYWxwaGE7X19UR0YoJCEkdichIiRJKyZkZWx0YTtfX3RHRihGMiQhK1lJc1I2ISM1IiIiNyNGLg==

PkkrJmRlbHRhO19fdEc2Ii1JJnNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQtSSVzdWJzR0YoNiYvSSVDX19oR0YkIiIhL0kicUdGJEYwL0krJmFscGhhO19fVEdGJComSSZhbHBoYUdGJCIiIiwmRjdGN0kzJmVwc2lsb247X18mYWxwaGE7R0YkISIiRjdJJGVxN0dGJEYj

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSsmZGVsdGE7X190R0YoJCErczo4c0YhIio3I0Yu

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