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Date: Mon, 13 Oct 2025 20:31:05 +0000
From: PDF By Aadithya Ankathi <updates@academia-mail.com>
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You read the paper <a href="https://www.academia.edu/keypass/NG4wOTVZVllHbHpKc1A1andDc3R3Ry9WWFY4QUF0cVdvQjhRYnhHeFdWUT0tLTJqc1h2UWhZMlBlMXlsS3VHaEpoUFE9PQ==--59e9c7584bfac9cdfd86c14f197314dade24ba13/t/EpkRY-SUvhqH4-JET6k/resource/work/37759760?email_work_card=interaction-paper">Flight without formulae</a>. We found a related paper on Academia:

Aerodynamic Flight Dynamics Framework (AFDF)
  by: AADITHYA ANKATHI
  view: https://www.academia.edu/keypass/NG4wOTVZVllHbHpKc1A1andDc3R3Ry9WWFY4QUF0cVdvQjhRYnhHeFdWUT0tLTJqc1h2UWhZMlBlMXlsS3VHaEpoUFE9PQ==--59e9c7584bfac9cdfd86c14f197314dade24ba13/t/EpkRY-SUvhqH4-JET6k/resource/work/125280627?email_work_card=text-view


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<td style=3D"word-wrap: break-word; -webkit-hyphens: none; -ms-hyphens: n=
one; hyphens: none; border-collapse: collapse !important; vertical-align:=
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rif; font-weight: normal; line-height: 150%; font-size: 16px; word-break:=
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<td style=3D"width: 600px; word-wrap: break-word; -webkit-hyphens: none; =
-ms-hyphens: none; hyphens: none; border-collapse: collapse !important; v=
ertical-align: top; text-align: left; color: #000; font-family: Helvetica=
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x; word-break: break-word; margin: 0; padding: 0;"><center style=3D"width=
: 100%; min-width: 600px;">
<table style=3D"border-spacing: 0; border-collapse: collapse; vertical-al=
ign: top; text-align: left; padding: 0;">
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td clas=
s=3D"container-row u-ph1x" style=3D"word-wrap: break-word; -webkit-hyphen=
s: none; -ms-hyphens: none; hyphens: none; border-collapse: collapse !imp=
ortant; vertical-align: top; text-align: left; color: #000; font-family: =
Helvetica,Arial,sans-serif; font-weight: normal; line-height: 150%; font-=
size: 16px; word-break: break-word; margin: 0; padding: 0 4px;"><hr style=
=3D"margin: 0px; border: 1px solid #ddd;"></td></tr>
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td clas=
s=3D"container-row u-ph1x" style=3D"word-wrap: break-word; -webkit-hyphen=
s: none; -ms-hyphens: none; hyphens: none; border-collapse: collapse !imp=
ortant; vertical-align: top; text-align: left; color: #000; font-family: =
Helvetica,Arial,sans-serif; font-weight: normal; line-height: 150%; font-=
size: 16px; word-break: break-word; margin: 0; padding: 0 4px;">
<br><p class=3D"u-mb9x" style=3D"color: #000; font-family: Helvetica,Aria=
l,sans-serif; font-weight: normal; text-align: left; line-height: 150%; f=
ont-size: 16px; margin: 0 0 36px; padding: 0;">You read the paper <a href=
=3D"https://www.academia.edu/keypass/NG4wOTVZVllHbHpKc1A1andDc3R3Ry9WWFY4=
QUF0cVdvQjhRYnhHeFdWUT0tLTJqc1h2UWhZMlBlMXlsS3VHaEpoUFE9PQ=3D=3D--59e9c75=
84bfac9cdfd86c14f197314dade24ba13/t/EpkRY-SUvhqH4-JET6k/resource/work/377=
59760?email_work_card=3Dinteraction-paper" style=3D"color: #1e88e5; font-=
family: Helvetica,Arial,sans-serif; font-weight: normal; text-align: left=
; line-height: 150%; text-decoration: none; margin: 0; padding: 0;">Fligh=
t without formulae</a>. We found a related paper on Academia:</p>
</td></tr>
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td clas=
s=3D"container-row u-ph1x" style=3D"word-wrap: break-word; -webkit-hyphen=
s: none; -ms-hyphens: none; hyphens: none; border-collapse: collapse !imp=
ortant; vertical-align: top; text-align: left; color: #000; font-family: =
Helvetica,Arial,sans-serif; font-weight: normal; line-height: 150%; font-=
size: 16px; word-break: break-word; margin: 0; padding: 0 4px;">


<table class=3D"box u-borderBottom1 u-borderColorGrayDark" style=3D"width=
: 100%; background-color: #FCFCFC; border-spacing: 0; border-collapse: se=
parate; vertical-align: top; text-align: left; border-radius: 20px; overf=
low: hidden; margin-bottom: 24px; padding: 0; border: 1px solid #999;"><t=
r style=3D"vertical-align: top; text-align: left; padding: 0;"><td class=3D=
"paper-top" style=3D"width: 100%; word-wrap: break-word; -webkit-hyphens:=
 none; -ms-hyphens: none; hyphens: none; border-collapse: collapse !impor=
tant; vertical-align: top; text-align: left; color: #000; font-family: He=
lvetica,Arial,sans-serif; font-weight: normal; line-height: 150%; font-si=
ze: 16px; word-break: break-word; margin: 0; padding: 24px;">
<table style=3D"width: 100%; border-spacing: 0; border-collapse: collapse=
; vertical-align: top; text-align: left; padding: 0;">
<tr style=3D"width: 100%; vertical-align: top; text-align: left; padding:=
 0;"><td class=3D"work-card-title-container" colspan=3D"2" style=3D"word-=
wrap: break-word; -webkit-hyphens: none; -ms-hyphens: none; hyphens: none=
; border-collapse: collapse !important; vertical-align: top; text-align: =
left; color: #000; font-family: Helvetica,Arial,sans-serif; font-weight: =
normal; line-height: 150%; font-size: 16px; word-break: break-word; overf=
low: hidden; text-overflow: ellipsis; text-decoration: underline; margin:=
 0; padding: 0;"><a class=3D"work-card-title" href=3D"https://www.academi=
a.edu/keypass/dzdrQ0hINmFMcTJGWTB1SnZGcld5YS9NWmdIaVBSMVNlZ2lJclgwMUcrQT0=
tLVQ4WTRubDdWRVFxajhUMDgzWENwaVE9PQ=3D=3D--f5898c321dc7bba506d92201a7148f=
d1b844e74d/t/EpkRY-SUvhqH4-JET6k/resource/work/125280627/Aerodynamic_Flig=
ht_Dynamics_Framework_AFDF_?email_work_card=3Dtitle" style=3D"color: #333=
; font-family: Georgia, Times, 'Times New Roman', serif; font-weight: nor=
mal; text-align: left; line-height: 1.3em; text-decoration: none; display=
: block; font-size: 24px; margin: 0 0 10px; padding: 0;">Aerodynamic Flig=
ht Dynamics Framework (AFDF)</a></td></tr>
<tr style=3D"width: 100%; vertical-align: top; text-align: left; padding:=
 0;">
<td class=3D"work-card-thumbnail-container" style=3D"max-height: 165px; w=
ord-wrap: break-word; -webkit-hyphens: none; -ms-hyphens: none; hyphens: =
none; border-collapse: collapse !important; vertical-align: middle; text-=
align: center; color: #000; font-family: Helvetica,Arial,sans-serif; font=
-weight: normal; line-height: 150%; font-size: 16px; word-break: break-wo=
rd; box-shadow: none; max-width: 100%; margin: 0; padding: 0 36px 0 0;"><=
a class=3D"work-card-thumbnail-anchor" href=3D"https://www.academia.edu/k=
eypass/dzdrQ0hINmFMcTJGWTB1SnZGcld5YS9NWmdIaVBSMVNlZ2lJclgwMUcrQT0tLVQ4WT=
RubDdWRVFxajhUMDgzWENwaVE9PQ=3D=3D--f5898c321dc7bba506d92201a7148fd1b844e=
74d/t/EpkRY-SUvhqH4-JET6k/resource/work/125280627/Aerodynamic_Flight_Dyna=
mics_Framework_AFDF_?email_work_card=3Dthumbnail" style=3D"color: #1e88e5=
; font-family: Helvetica,Arial,sans-serif; font-weight: normal; text-alig=
n: left; line-height: 150%; text-decoration: none; margin: 0; padding: 0;=
"><img width=3D"220" class=3D"work-card-thumbnail-image" alt=3D"Paper Thu=
mbnail" src=3D"https://0.academia-photos.com/attachment_thumbnails/119353=
058/mini_magick20241104-1-eb7t7d.png?1730723759" style=3D"outline: none; =
text-decoration: none; -ms-interpolation-mode: bicubic; width: auto; max-=
width: 100%; clear: both; display: block; min-width: 180px; max-height: 2=
85px; border: 2px solid #e1e1e1;"></a></td>
<td class=3D"work-card-info-container" style=3D"word-wrap: break-word; -w=
ebkit-hyphens: none; -ms-hyphens: none; hyphens: none; border-collapse: c=
ollapse !important; vertical-align: top; text-align: left; color: #000; f=
ont-family: Helvetica,Arial,sans-serif; font-weight: normal; line-height:=
 150%; font-size: 16px; word-break: break-word; margin: 0; padding: 0;"><=
table style=3D"border-spacing: 0; border-collapse: collapse; vertical-ali=
gn: top; text-align: left; padding: 0;">
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td styl=
e=3D"word-wrap: break-word; -webkit-hyphens: none; -ms-hyphens: none; hyp=
hens: none; border-collapse: collapse !important; vertical-align: top; te=
xt-align: left; color: #000; font-family: Helvetica,Arial,sans-serif; fon=
t-weight: normal; line-height: 150%; font-size: 16px; word-break: break-w=
ord; margin: 0; padding: 0;"><a class=3D"work-card-author" href=3D"https:=
//independent.academia.edu/keypass/dzdrQ0hINmFMcTJGWTB1SnZGcld5YS9NWmdIaV=
BSMVNlZ2lJclgwMUcrQT0tLVQ4WTRubDdWRVFxajhUMDgzWENwaVE9PQ=3D=3D--f5898c321=
dc7bba506d92201a7148fd1b844e74d/t/EpkRY-SUvhqH4-JET6k/AadithyaAnkathi" st=
yle=3D"color: #000000; font-family: Helvetica; font-weight: normal; text-=
align: left; line-height: 28px; text-decoration: none; font-size: 15px; l=
etter-spacing: 0.4px; margin: 0; padding: 0;"><img class=3D"work-card-pro=
file-pic" width=3D"28" height=3D"28" alt=3D"Author Photo" border=3D"0" sr=
c=3D"https://0.academia-photos.com/325112535/166785770/163834751/s65_aadi=
thya.ankathi.jpeg" style=3D"outline: none; text-decoration: none; -ms-int=
erpolation-mode: bicubic; width: auto; max-width: 100%; clear: both; disp=
lay: inline; vertical-align: middle; height: 24px; border-radius: 50%; fo=
nt-family: Helvetica; font-weight: bold; letter-spacing: 0.4px; color: #0=
00000; border-style: none;">=C2=A0Aadithya Ankathi</a></td></tr>
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td styl=
e=3D"word-wrap: break-word; -webkit-hyphens: none; -ms-hyphens: none; hyp=
hens: none; border-collapse: collapse !important; vertical-align: top; te=
xt-align: left; color: #000; font-family: Helvetica,Arial,sans-serif; fon=
t-weight: normal; line-height: 150%; font-size: 16px; word-break: break-w=
ord; margin: 0; padding: 0;"><div class=3D"work-card-publication-info u-m=
t2x" style=3D"margin-top: 8px !important; color: #595959; overflow: hidde=
n; font-size: 13px; line-height: 20px; font-family: 'Helvetica Neue', san=
s-serif;">2024, Under evaluation of Annals of Physics</div></td></tr>
<tr style=3D"min-height: 20px; vertical-align: top; text-align: left; pad=
ding: 0;"><td style=3D"word-wrap: break-word; -webkit-hyphens: none; -ms-=
hyphens: none; hyphens: none; border-collapse: collapse !important; verti=
cal-align: top; text-align: left; color: #000; font-family: Helvetica,Ari=
al,sans-serif; font-weight: normal; line-height: 150%; font-size: 16px; w=
ord-break: break-word; margin: 0; padding: 0;"><div class=3D"stat-num-ema=
il-stats u-mb3x u-mt2x" style=3D"margin-top: 8px !important; margin-botto=
m: 12px !important; font-size: 13px; overflow: hidden; margin-right: 4px;=
 font-family: 'Helvetica Neue', sans-serif; line-height: 15px; color: #77=
7777;">10=C2=A0Views=C2=A0</div></td></tr>
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td styl=
e=3D"word-wrap: break-word; -webkit-hyphens: none; -ms-hyphens: none; hyp=
hens: none; border-collapse: collapse !important; vertical-align: top; te=
xt-align: left; color: #000; font-family: Helvetica,Arial,sans-serif; fon=
t-weight: normal; line-height: 150%; font-size: 16px; word-break: break-w=
ord; margin: 0; padding: 0;"><table style=3D"border-spacing: 0; border-co=
llapse: collapse; vertical-align: top; text-align: left; padding: 0;"><tr=
 style=3D"vertical-align: top; text-align: left; padding: 0;">
<td style=3D"word-wrap: break-word; -webkit-hyphens: none; -ms-hyphens: n=
one; hyphens: none; border-collapse: collapse !important; vertical-align:=
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rif; font-weight: normal; line-height: 150%; font-size: 16px; word-break:=
 break-word; margin: 0; padding: 0;">

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</table>
<br><br><table style=3D"width: 100%; border-spacing: 0; border-collapse: =
collapse; vertical-align: top; text-align: left; padding: 0;">
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td clas=
s=3D"work-card-abstract-title u-pb3x" style=3D"word-wrap: break-word; -we=
bkit-hyphens: none; -ms-hyphens: none; hyphens: none; border-collapse: co=
llapse !important; vertical-align: top; text-align: left; color: #0954d3;=
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: 1em; font-size: 11px; word-break: break-word; display: block; letter-sp=
acing: 0.7px; text-transform: uppercase; margin: 0; padding: 0 0 12px;">A=
BSTRACT</td></tr>
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td clas=
s=3D"work-card-summary u-pt1x" style=3D"word-wrap: break-word; -webkit-hy=
phens: none; -ms-hyphens: none; hyphens: none; border-collapse: collapse =
!important; vertical-align: top; text-align: left; color: #333; font-fami=
ly: 'Helvetica Neue', sans-serif; font-weight: normal; line-height: 1.4em=
; font-size: 15px; word-break: break-word; max-height: 88px; overflow: hi=
dden; text-overflow: ellipsis; margin: 0; padding: 4px 0 0;">Aerodynamic =
Flight Dynamics Framework (AFDF) =


The Aerodynamic Flight Dynamics Framework (AFDF) offers a comprehensive s=
et of equations for analyzing the motion of objects under the influence o=
f both gravity and air resistance. This framework extends classical proje=
ctile motion theory by accounting for air drag, an...</td></tr>
<tr style=3D"vertical-align: top; text-align: left; padding: 0;"><td clas=
s=3D"work-card-summary u-pt1x" style=3D"word-wrap: break-word; -webkit-hy=
phens: none; -ms-hyphens: none; hyphens: none; border-collapse: collapse =
!important; vertical-align: top; text-align: left; color: #333; font-fami=
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