The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 06QR181
# Created Sat Apr 27 01:12:44 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 21 observations of 21
# Arc: 15.28y
# First observation: 2006/08/22
# Last observation: 2021/12/01
# Chi-squared of fit: 18.95 DOF: 36 RMS: 0.17
# Min/Max residuals: -0.28 0.57
# Exact a, adot, b, bdot, g, gdot:
1.571315E-05 2.746061E-02 -5.184841E-07 8.138663E-04 2.584003E-02 4.141659E-03
# Covariance matrix:
2.5756E-13 -4.6403E-14 2.0434E-15 -1.3033E-15 1.6095E-13 -1.2622E-13
-4.6403E-14 4.1735E-14 -1.0168E-15 1.2131E-15 4.3953E-15 1.0809E-13
2.0434E-15 -1.0168E-15 1.1654E-13 -1.0361E-14 1.5812E-15 -3.0774E-15
-1.3033E-15 1.2131E-15 -1.0361E-14 2.5469E-15 -1.5099E-16 3.3895E-15
1.6095E-13 4.3953E-15 1.5812E-15 -1.5099E-16 2.5284E-13 -2.8892E-14
-1.2622E-13 1.0809E-13 -3.0774E-15 3.3895E-15 -2.8892E-14 3.0454E-13
# lat0 lon0 xBary yBary zBary JD0
9.846907 10.994670 0.674317 0.129246 -0.743876 2453969.785404
# Heliocentric elements and errors
Epoch: 2453970.5000 = 2006/08/23
Mean Anomaly: 33.55812 +/- 0.009
Argument of Peri: 29.72544 +/- 0.012
Long of Asc Node: 291.06539 +/- 0.001
Inclination: 9.83825 +/- 0.000
Eccentricity: 0.20060246 +/- 0.0001
Semi-Major Axis: 46.46909592 +/- 0.0047
Time of Perihelion: 2443185.0110 +/- 3.4
Perihelion: 37.14728105 +/- 0.0047
Aphelion: 55.79091079 +/- 0.0063
Period (y) 316.7777 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 38.29629824 +/- 0.0007
Ecliptic Y 6.75110118 +/- 0.0001
Ecliptic Z 6.61822924 +/- 0.0001
Ecliptic XDOT -0.00014042 +/- 0.0000
Ecliptic YDOT 0.00293090 +/- 0.0000
Ecliptic ZDOT 0.00015996 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.44588563 +/- 0.0007
Geocenter to KBO 38.69956294 +/- 0.0008
# Hcoef: 7.22
The following table shows the complete astrometric record for 06QR181. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (06QR181) followed by the observatory code and reference code for the source of the astrometry.
2006 08 22.28465 00 24 38.25 +13 23 39.2 22.3R 06QR181 807 Cs5502 2006 08 23.20556 00 24 34.92 +13 23 28.0 06QR181 807 Cs5502 2006 08 23.27405 00 24 34.65 +13 23 27.4 06QR181 807 Cs5502 2006 10 19.25145 00 20 17.01 +12 59 38.5 23.1R 06QR181 695 Ct0530 2006 10 19.35491 00 20 16.54 +12 59 35.3 06QR181 695 Ct0530 2006 10 20.30911 00 20 12.31 +12 59 03.4 06QR181 695 Ct0530 2006 12 21.10999 00 17 47.23 +12 31 24.2 23.0R 06QR181 695 Ct5545 2006 12 21.25788 00 17 47.31 +12 31 22.6 06QR181 695 Ct5545 2007 07 12.39645 00 31 46.97 +14 01 42.8 06QR181 304 C~02IB 2007 07 12.45109 00 31 46.94 +14 01 43.7 06QR181 304 C~02IB 2008 10 23.33819 00 31 39.22 +14 17 37.9 23.0r 06QR181 695 C~02IB 2008 10 23.40014 00 31 38.93 +14 17 35.8 22.9r 06QR181 695 C~02IB 2008 10 24.22652 00 31 35.32 +14 17 08.7 22.5r 06QR181 695 C~02IB 2008 10 24.30257 00 31 34.99 +14 17 06.3 22.3r 06QR181 695 C~02IB 2014 09 27.42341 01 08 42.32 +18 11 38.1 23.9R 06QR181 695 C~1LJh 2014 09 27.47707 01 08 42.08 +18 11 37.3 06QR181 695 C~1LJh 2014 10 22.18754 01 06 43.44 +18 00 24.6 23.4R 06QR181 G37 C~1BxM 2014 10 22.29501 01 06 42.92 +18 00 21.4 06QR181 G37 C~1BxM 2021 12 01.098960 01 43 57.530 +21 17 19.54 23.9G 06QR181 G37 C~5J1s 2021 12 01.150330 01 43 57.357 +21 17 18.22 06QR181 G37 C~5J1s 2021 12 01.202270 01 43 57.173 +21 17 16.50 06QR181 G37 C~5J1s
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.13 0.00 0.28
2 0.0025 0.00 0.15 0.00 -0.23
3 0.0027 0.00 -0.07 0.00 -0.02
4 0.1587 0.00 0.08 0.00 -0.02
5 0.1590 0.00 0.07 0.00 0.21
6 0.1616 0.00 0.12 0.00 -0.09
7 0.3308 0.00 -0.28 0.00 -0.22
8 0.3312 0.00 0.20 0.00 0.21
9 0.8874 0.00 0.07 0.00 -0.12
10 0.8875 0.00 -0.21 0.00 -0.08
11 2.1713 0.00 0.03 0.00 -0.15
12 2.1714 0.00 -0.17 0.00 -0.20
13 2.1737 0.00 -0.08 0.00 -0.04
14 2.1739 0.00 0.05 0.00 0.08
15 8.0989 0.00 -0.24 0.00 0.13
16 8.0991 0.00 -0.03 0.00 0.57
17 8.1667 0.00 0.09 0.00 0.01
18 8.1670 0.00 0.08 0.00 0.09
19 15.2767 0.00 -0.06 0.00 -0.17
20 15.2768 0.00 0.07 0.00 -0.01
21 15.2770 0.00 0.06 0.00 -0.22
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
06QR181 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.026 47.026 47.026 ecceobj 0.207 0.207 0.207 incobj 9.840 9.840 9.840 qmin 36.371 36.314 36.358 qmax 57.463 57.474 57.464 amean 46.686 46.686 46.686 amin 46.268 46.265 46.269 amax 47.197 47.190 47.188 emean 0.204 0.204 0.204 emin 0.190 0.190 0.190 emax 0.219 0.219 0.219 imean 11.424 11.424 11.424 imin 10.769 10.774 10.769 imax 12.116 12.113 12.114 excite_mean 0.285 0.285 0.285 fracstop 1.000 1.000 1.000 cjmean 3.034 3.034 3.034 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 179.1 179.1 178.9 kozaiamp 180.0 180.0 179.9