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Date: Mon, 11 Sep 2023 10:07:24 -0700
Subject: Re: Testing A Supplemental Earth Orientation Model
From: Daniel Adamo <adamod@earthlink.net>
To: "ATIG (L-Z)" <adamod@earthlink.net>
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Thread-Topic: Testing A Supplemental Earth Orientation Model
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ATIG Members-

=20

My colleagues at JPL Solar System Dynamics have persuaded me the results I =
reported to you on August 10-11 suffer position errors on the order of 10 km=
 in a trans-lunar trajectory context because Earth axial rotation modeling h=
ad been driven by UTC.  Consequently, my original results can incur up to 0.=
9 s of asynchronous east/west displacement with respect to Earth=E2=80=99s true or=
ientation as reckoned by the UT1 time scale.

=20

The attached =E2=80=9Cr1=E2=80=9D revision to my report reflects testing of a more accu=
rate UT1-savvy orientation model whose timing is typically better than 0.01 =
s from year 1950 through 2023.  This will introduce position errors no more =
than several hundred meters when processing geocentric NASA Apollo trajector=
y elements for trajectory reconstruction purposes.  The r1 revision complete=
ly supersedes its predecessor.  Redlines to the original report thereby prod=
ucing the r1 revision will be supplied to anyone requesting them.

=20

-Dan

=20

From: Daniel Adamo <adamod@earthlink.net>
Date: Thursday, August 10, 2023 at 21:58
Subject: Testing A Supplemental Earth Orientation Model

=20

ATIG Members-

=20

The subject model computes rotation, nutation, and precession (RNP) dynamic=
s transforming coordinates between an Earth-fixed system such as latitude/lo=
ngitude/altitude and an inertial system such as the Earth mean equator and e=
quinox of epoch J2000.0.  The Swift-based trajectory design/modeling system =
I=E2=80=99ve been developing since 2017 uses data files from JPL to provide precis=
ion Earth orientation transformations, but these highly accurate files do no=
t support times before year 1972.  In accurately reconstructing Apollo Progr=
am trajectories, it is therefore necessary to perform precision RNP computat=
ions in Swift code.  The attached paper provides testing data demonstrating =
these computations are sufficiently accurate for Apollo trajectory reconstru=
ction.  Your comments on this material are invited.

=20

-Dan

=20



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ink=3D"#954F72" style=3D'word-wrap:break-word'><div class=3DWordSection1><p class=3D=
MsoNormal><span style=3D'font-size:10.0pt;font-family:"Arial",sans-serif'>ATIG=
 Members-<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'font-size:10.=
0pt;font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></span></p><p class=3DMso=
Normal><span style=3D'font-size:10.0pt;font-family:"Arial",sans-serif'>My coll=
eagues at JPL Solar System Dynamics have persuaded me the results I reported=
 to you on August 10-11 suffer position errors on the order of 10 km in a tr=
ans-lunar trajectory context because Earth axial rotation modeling had been =
driven by UTC.&nbsp; Consequently, my original results can incur up to 0.9 s=
 of asynchronous east/west displacement with respect to Earth=E2=80=99s true orien=
tation as reckoned by the UT1 time scale.<o:p></o:p></span></p><p class=3DMsoN=
ormal><span style=3D'font-size:10.0pt;font-family:"Arial",sans-serif'><o:p>&nb=
sp;</o:p></span></p><p class=3DMsoNormal><span style=3D'font-size:10.0pt;font-fa=
mily:"Arial",sans-serif'>The attached =E2=80=9Cr1=E2=80=9D revision to my report reflect=
s testing of a more accurate UT1-savvy orientation model whose timing is typ=
ically better than 0.01 s from year 1950 through 2023.&nbsp; This will intro=
duce position errors no more than several hundred meters when processing geo=
centric NASA Apollo trajectory elements for trajectory reconstruction purpos=
es.&nbsp; The r1 revision completely supersedes its predecessor.&nbsp; Redli=
nes to the original report thereby producing the r1 revision will be supplie=
d to anyone requesting them.<o:p></o:p></span></p><p class=3DMsoNormal><span s=
tyle=3D'font-size:10.0pt;font-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></sp=
an></p><p class=3DMsoNormal><span style=3D'font-size:10.0pt;font-family:"Arial",=
sans-serif'>-Dan<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'font-s=
ize:10.0pt;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-size:12.0pt;color:black;mso-ligatur=
es:none'>From: </span></b><span style=3D'font-size:12.0pt;color:black;mso-liga=
tures:none'>Daniel Adamo &lt;adamod@earthlink.net&gt;<br><b>Date: </b>Thursd=
ay, August 10, 2023 at 21:58<br><b>Subject: </b>Testing A Supplemental Earth=
 Orientation Model<o:p></o:p></span></p></div><div><p class=3DMsoNormal><span =
style=3D'mso-ligatures:none'><o:p>&nbsp;</o:p></span></p></div><p class=3DMsoNor=
mal><span style=3D'font-size:10.0pt;font-family:"Arial",sans-serif'>ATIG Membe=
rs-<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'font-size:10.0pt;fo=
nt-family:"Arial",sans-serif'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal=
><span style=3D'font-size:10.0pt;font-family:"Arial",sans-serif'>The subject m=
odel computes rotation, nutation, and precession (RNP) dynamics transforming=
 coordinates between an Earth-fixed system such as latitude/longitude/altitu=
de and an inertial system such as the Earth mean equator and equinox of epoc=
h J2000.0.&nbsp; The Swift-based trajectory design/modeling system I=E2=80=99ve be=
en developing since 2017 uses data files from JPL to provide precision Earth=
 orientation transformations, but these highly accurate files do not support=
 times before year 1972.&nbsp; In accurately reconstructing Apollo Program t=
rajectories, it is therefore necessary to perform precision RNP computations=
 in Swift code.&nbsp; The attached paper provides testing data demonstrating=
 these computations are sufficiently accurate for Apollo trajectory reconstr=
uction.&nbsp; Your comments on this material are invited.<o:p></o:p></span><=
/p><p class=3DMsoNormal><span style=3D'font-size:10.0pt;font-family:"Arial",sans=
-serif'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=3D'font-siz=
e:10.0pt;font-family:"Arial",sans-serif'>-Dan<o:p></o:p></span></p><p class=3D=
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