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Date: Sat, 08 Nov 2025 13:26:17 -0800
Subject: Re: Estimating In-Plane Launch Time Targeting Rendezvous
From: Daniel Adamo <adamod@earthlink.net>
To: "ATIG (A-K)" <adamod@earthlink.net>
Message-ID: <9766E351-CF08-4E33-AC69-E0533508286C@earthlink.net>
Thread-Topic: Estimating In-Plane Launch Time Targeting Rendezvous
References: <7ADEE8C5-555D-47CB-8A59-5399C07B44AB@earthlink.net>
 <4F7E47FD-FA3C-47B5-A0C4-21E498A08D71@earthlink.net>
In-Reply-To: <4F7E47FD-FA3C-47B5-A0C4-21E498A08D71@earthlink.net>
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ATIG Members-

=20

Further progress with implementing a general-purpose launch trajectory simu=
lation has led to an R2 revision of this paper as attached.=C2=A0 The added topi=
c is post-launch powered flight steering into the desired orbit plane and so=
mewhat exceeds the subject scope.=C2=A0 This planar steering discussion is confi=
ned to the last two pages of R2 as an Epilogue.=C2=A0 The algorithm iteratively =
refining launch time has a great deal of commonality with the new R2 materia=
l, as a reading of the Epilogue will reveal.=C2=A0 Continued comments on this pa=
per are welcome.

=20

-Dan

=20

From: Daniel Adamo <adamod@earthlink.net>
Date: Saturday, October 11, 2025 at 17:43
Subject: Re: Estimating In-Plane Launch Time Targeting Rendezvous

=20

ATIG Members-

=20

Further testing and review of the white paper emailed September 29 PDT in t=
his thread has resulted in multiple corrections and additions.  The R1 paper=
 reflecting these edits is attached, and it completely supersedes last month=
's R0 version.  Multiple-angle formulae (Equations 11 and 14) now contribute=
 to improved iteration stability, and an error in southbound logic supportin=
g Equation 9 has been corrected.  Additional test data relating to a hypothe=
tical launch from KSC LC-39B and targeting rendezvous with HST have been add=
ed.

=20

Additional reading on launch window targeting by Space Shuttle Flight Desig=
n engineers has revealed a similar algorithm to the attached paper was in us=
e by those personnel.  The document is cited below for the record.

=20

Orbit Flight Design, Flight Design and Dynamics Department, Launch Window D=
esign 03, LNCH WND 03 21007, "Rendezvous Launch Window", Section 2.3.1 (Dete=
rmining In-plane Time), Rockwell Space Operation Company, 5 August 1994.

=20

If anyone can inform me how this document would be accessed by the public n=
owadays, I'll gladly provide that citation in a future revision of the attac=
hed paper.  My Internet search came up empty.

=20

-Dan

=20

From: Daniel Adamo <adamod@earthlink.net>
Date: Monday, September 29, 2025 at 21:29
Subject: Estimating In-Plane Launch Time Targeting Rendezvous

=20

ATIG Members-

=20

The coming winter's programming project will focus on developing a vehicle-=
configurable launch simulation targeting rendezvous with an orbiting satelli=
te.  In many use scenarios, launch time for the simulation will be completel=
y unknown, or at most only a calendar date will be specified.

=20

The attached paper describes an iterative algorithm serving as a pre-proces=
sor for the simulation.  With few inputs beyond a specified orbiting target =
ephemeris and an initial launch date/time guess, the algorithm rapidly conve=
rges on a launch time at which the launch site lies in the target's geometri=
c orbit plane.  This converged in-plane launch time will then serve as a sta=
rting point from which the simulation can determine performance-optimal/marg=
inal launch times leading to rendezvous with the orbiting target.  Comments =
and questions on the attachment are invited.

=20

-Dan

=20



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</o:shapelayout></xml><![endif]--></head><body lang=3DEN-US link=3D"#467886" vl=
ink=3D"#96607D" style=3D'word-wrap:break-word'><div class=3DWordSection1><p class=3D=
MsoNormal><span style=3D'font-family:"Arial",sans-serif'>ATIG Members-<o:p></o=
:p></span></p><p class=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif=
'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=3D'font-family:"A=
rial",sans-serif'>Further progress with implementing a general-purpose launc=
h trajectory simulation has led to an R2 revision of this paper as attached.=
=C2=A0 The added topic is post-launch powered flight steering into the desired o=
rbit plane and somewhat exceeds the subject scope.=C2=A0 This planar steering di=
scussion is confined to the last two pages of R2 as an Epilogue.=C2=A0 The algor=
ithm iteratively refining launch time has a great deal of commonality with t=
he new R2 material, as a reading of the Epilogue will reveal.=C2=A0 Continued co=
mments on this paper are welcome.<o:p></o:p></span></p><p class=3DMsoNormal><s=
pan style=3D'font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></span></p><p cl=
ass=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif'>-Dan<o:p></o:p></=
span></p><p class=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif'><o:=
p>&nbsp;</o:p></span></p><div style=3D'border:none;border-top:solid #B5C4DF 1.=
0pt;padding:3.0pt 0in 0in 0in'><p class=3DMsoNormal><b><span style=3D'font-famil=
y:"Calibri",sans-serif;color:black;mso-ligatures:none'>From: </span></b><spa=
n style=3D'font-family:"Calibri",sans-serif;color:black;mso-ligatures:none'>Da=
niel Adamo &lt;adamod@earthlink.net&gt;<br><b>Date: </b>Saturday, October 11=
, 2025 at 17:43<br><b>Subject: </b>Re: Estimating In-Plane Launch Time Targe=
ting Rendezvous<o:p></o:p></span></p></div><div><p class=3DMsoNormal><span sty=
le=3D'mso-ligatures:none'><o:p>&nbsp;</o:p></span></p></div><p class=3DMsoNormal=
><span style=3D'font-family:"Arial",sans-serif'>ATIG Members-<o:p></o:p></span=
></p><p class=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif'><o:p>&n=
bsp;</o:p></span></p><p class=3DMsoNormal><span style=3D'font-family:"Arial",san=
s-serif'>Further testing and review of the white paper emailed September 29 =
PDT in this thread has resulted in multiple corrections and additions.&nbsp;=
 The R1 paper reflecting these edits is attached, and it completely supersed=
es last month's R0 version.&nbsp; Multiple-angle formulae (Equations 11 and =
14) now contribute to improved iteration stability, and an error in southbou=
nd logic supporting Equation 9 has been corrected.&nbsp; Additional test dat=
a relating to a hypothetical launch from KSC LC-39B and targeting rendezvous=
 with HST have been added.<o:p></o:p></span></p><p class=3DMsoNormal><span sty=
le=3D'font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></span></p><p class=3DMso=
Normal><span style=3D'font-family:"Arial",sans-serif'>Additional reading on la=
unch window targeting by Space Shuttle Flight Design engineers has revealed =
a similar algorithm to the attached paper was in use by those personnel.&nbs=
p; The document is cited below for the record.<o:p></o:p></span></p><p class=
=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></s=
pan></p><p class=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif'>Orbi=
t Flight Design, Flight Design and Dynamics Department, <i>Launch Window Des=
ign 03, LNCH WND 03 21007</i>, &quot;Rendezvous Launch Window&quot;, Section=
 2.3.1 (Determining In-plane Time), Rockwell Space Operation Company, 5 Augu=
st 1994.<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'font-family:"A=
rial",sans-serif'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=
=3D'font-family:"Arial",sans-serif'>If anyone can inform me how this document =
would be accessed by the public nowadays, I'll gladly provide that citation =
in a future revision of the attached paper.&nbsp; My Internet search came up=
 empty.<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'font-family:"Ar=
ial",sans-serif'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=3D=
'font-family:"Arial",sans-serif'>-Dan<o:p></o:p></span></p><p class=3DMsoNorma=
l><span style=3D'font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></span></p><=
div style=3D'border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in =
0in'><p class=3DMsoNormal><b><span style=3D'font-family:"Calibri",sans-serif;col=
or:black;mso-ligatures:none'>From: </span></b><span style=3D'font-family:"Cali=
bri",sans-serif;color:black;mso-ligatures:none'>Daniel Adamo &lt;adamod@eart=
hlink.net&gt;<br><b>Date: </b>Monday, September 29, 2025 at 21:29<br><b>Subj=
ect: </b>Estimating In-Plane Launch Time Targeting Rendezvous<o:p></o:p></sp=
an></p></div><div><p class=3DMsoNormal><span style=3D'mso-ligatures:none'><o:p>&=
nbsp;</o:p></span></p></div><p class=3DMsoNormal><span style=3D'font-family:"Ari=
al",sans-serif'>ATIG Members-<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></span></p><p class=3D=
MsoNormal><span style=3D'font-family:"Arial",sans-serif'>The coming winter's p=
rogramming project will focus on developing a vehicle-configurable launch si=
mulation targeting rendezvous with an orbiting satellite.&nbsp; In many use =
scenarios, launch time for the simulation will be completely unknown, or at =
most only a calendar date will be specified.<o:p></o:p></span></p><p class=3DM=
soNormal><span style=3D'font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></spa=
n></p><p class=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif'>The at=
tached paper describes an iterative algorithm serving as a pre-processor for=
 the simulation.&nbsp; With few inputs beyond a specified orbiting target ep=
hemeris and an initial launch date/time guess, the algorithm rapidly converg=
es on a launch time at which the launch site lies in the target's geometric =
orbit plane.&nbsp; This converged in-plane launch time will then serve as a =
starting point from which the simulation can determine performance-optimal/m=
arginal launch times leading to rendezvous with the orbiting target.&nbsp; C=
omments and questions on the attachment are invited.<o:p></o:p></span></p><p=
 class=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif'><o:p>&nbsp;</o=
:p></span></p><p class=3DMsoNormal><span style=3D'font-family:"Arial",sans-serif=
'>-Dan<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'font-family:"Ari=
al",sans-serif'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=3D'=
font-family:"Arial",sans-serif;mso-ligatures:none'><img width=3D480 height=3D283=
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jpg@01DC50B3.43A90270"></span><span style=3D'font-family:"Arial",sans-serif'><=
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--B_3845453187_503375669--


