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: 11UZ412
# Created Wed Apr 24 01:13:54 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 27 observations of 27
# Arc: 11.17y
# First observation: 2011/08/29
# Last observation: 2022/10/29
# Chi-squared of fit: 20.44 DOF: 48 RMS: 0.15
# Min/Max residuals: -0.50 0.32
# Exact a, adot, b, bdot, g, gdot:
1.774092E-05 3.808863E-02 1.506492E-06 4.171113E-03 3.219865E-02 5.670317E-04
# Covariance matrix:
1.9917E-13 -1.2272E-13 8.0237E-15 -1.3832E-14 7.6213E-14 -2.5837E-13
-1.2272E-13 2.6145E-13 -1.8655E-14 3.0246E-14 7.0715E-14 5.8009E-13
8.0237E-15 -1.8655E-14 7.1894E-14 -1.0780E-14 -5.4754E-15 -4.2061E-14
-1.3832E-14 3.0246E-14 -1.0780E-14 7.7519E-15 7.7428E-15 6.8205E-14
7.6213E-14 7.0715E-14 -5.4754E-15 7.7428E-15 1.6783E-13 1.5803E-13
-2.5837E-13 5.8009E-13 -4.2061E-14 6.8205E-14 1.5803E-13 1.3080E-12
# lat0 lon0 xBary yBary zBary JD0
2.595466 33.226798 0.850813 0.024358 -0.538015 2455803.028806
# Heliocentric elements and errors
Epoch: 2455802.5000 = 2011/08/29
Mean Anomaly: 355.77309 +/- 0.011
Argument of Peri: 27.70775 +/- 0.014
Long of Asc Node: 9.75517 +/- 0.000
Inclination: 6.80174 +/- 0.000
Eccentricity: 0.13899391 +/- 0.0000
Semi-Major Axis: 36.69137533 +/- 0.0022
Time of Perihelion: 2456755.6583 +/- 7.7
Perihelion: 31.59149777 +/- 0.0025
Aphelion: 41.79125290 +/- 0.0030
Period (y) 222.2564 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 26.87306961 +/- 0.0003
Ecliptic Y 16.58503536 +/- 0.0002
Ecliptic Z 1.40646098 +/- 0.0000
Ecliptic XDOT -0.00175094 +/- 0.0000
Ecliptic YDOT 0.00273217 +/- 0.0000
Ecliptic ZDOT 0.00035655 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.61018575 +/- 0.0003
Geocenter to KBO 31.05722056 +/- 0.0004
# Hcoef: 9.27
The following table shows the complete astrometric record for 11UZ412. 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 (11UZ412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.52804 02 00 21.542 +15 01 40.02 11UZ412 568 C~1CKy 2011 08 29.57207 02 00 21.413 +15 01 39.70 24.4r 11UZ412 568 C~1CKy 2011 08 29.61903 02 00 21.260 +15 01 39.23 24.4r 11UZ412 568 C~1CKy 2011 09 05.55829 01 59 59.404 +15 00 30.66 24.2r 11UZ412 568 C~1CKy 2011 10 24.43755 01 55 43.262 +14 41 36.97 24.1r 11UZ412 568 C~1CKy 2011 10 24.48029 01 55 42.985 +14 41 35.73 24.0r 11UZ412 568 C~1CKy 2011 10 24.52304 01 55 42.715 +14 41 34.39 23.9r 11UZ412 568 C~1CKy 2011 10 31.54242 01 54 59.493 +14 37 56.65 23.9r 11UZ412 568 C~1CKy 2011 11 24.28350 01 52 44.290 +14 26 00.09 24.3r 11UZ412 568 C~1CKy 2011 11 30.32972 01 52 15.062 +14 23 17.06 24.1r 11UZ412 568 C~1CKy 2012 01 26.26197 01 50 49.511 +14 13 09.77 24.0r 11UZ412 568 C~1CKy 2012 08 17.55584 02 08 54.995 +16 00 09.97 24.3r 11UZ412 568 C~1CKy 2012 08 22.61130 02 08 47.002 +16 00 08.33 11UZ412 568 C~1CKy 2012 08 23.54195 02 08 45.226 +16 00 06.45 11UZ412 568 C~1CKy 2012 08 24.48353 02 08 43.308 +16 00 03.87 24.2r 11UZ412 568 C~1CKy 2012 10 21.32322 02 04 15.067 +15 42 22.98 24.4r 11UZ412 568 C~1CKy 2012 10 21.33175 02 04 15.034 +15 42 22.79 24.1r 11UZ412 568 C~1CKy 2012 10 21.34894 02 04 14.909 +15 42 22.34 24.1r 11UZ412 568 C~1CKy 2012 10 21.35746 02 04 14.860 +15 42 21.93 24.2r 11UZ412 568 C~1CKy 2012 10 21.37460 02 04 14.747 +15 42 21.43 24.0r 11UZ412 568 C~1CKy 2012 10 21.38354 02 04 14.700 +15 42 21.30 24.3r 11UZ412 568 C~1CKy 2013 02 02.25091 01 59 04.708 +15 12 29.91 24.4r 11UZ412 568 C~1CKy 2013 02 03.25659 01 59 07.497 +15 12 41.36 24.2r 11UZ412 568 C~1CKz 2013 02 06.29902 01 59 16.660 +15 13 19.73 24.9r 11UZ412 568 C~1CKz 2022 10 29.389350 03 30 43.268 +24 13 32.03 24.1G 11UZ412 G37 C~5yx3 2022 10 29.437870 03 30 42.959 +24 13 30.42 11UZ412 G37 C~5yx3 2022 10 29.485770 03 30 42.630 +24 13 30.37 11UZ412 G37 C~5yx3
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 0.15 0.00 0.17
2 0.0001 0.00 0.13 0.00 0.19
3 0.0002 0.00 -0.12 0.00 0.09
4 0.0192 0.00 0.00 0.00 -0.11
5 0.1531 0.00 -0.07 0.00 0.01
6 0.1532 0.00 -0.19 0.00 0.09
7 0.1533 0.00 -0.22 0.00 0.07
8 0.1725 0.00 -0.07 0.00 -0.14
9 0.2375 0.00 0.10 0.00 -0.12
10 0.2541 0.00 0.04 0.00 0.10
11 0.4099 0.00 -0.09 0.00 0.21
12 0.9693 0.00 0.02 0.00 -0.00
13 0.9831 0.00 0.03 0.00 -0.22
14 0.9857 0.00 0.18 0.00 -0.07
15 0.9882 0.00 0.05 0.00 -0.04
16 1.1466 0.00 -0.22 0.00 -0.01
17 1.1466 0.00 0.09 0.00 0.04
18 1.1467 0.00 -0.16 0.00 0.10
19 1.1467 0.00 -0.09 0.00 -0.07
20 1.1467 0.00 -0.17 0.00 -0.07
21 1.1468 0.00 -0.03 0.00 0.06
22 1.4311 0.00 0.07 0.00 -0.22
23 1.4339 0.00 0.21 0.00 -0.09
24 1.4422 0.00 0.24 0.00 -0.10
25 11.1673 0.00 0.09 0.00 0.32
26 11.1674 0.00 0.11 0.00 -0.50
27 11.1676 0.00 -0.25 0.00 0.24
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.
11UZ412 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.757 36.757 36.757 ecceobj 0.140 0.140 0.140 incobj 6.796 6.796 6.796 qmin 31.024 31.025 31.024 qmax 42.184 42.184 42.185 amean 36.478 36.478 36.478 amin 36.206 36.206 36.206 amax 36.785 36.785 36.785 emean 0.126 0.126 0.126 emin 0.107 0.107 0.107 emax 0.148 0.148 0.148 imean 5.024 5.025 5.024 imin 2.006 2.006 2.006 imax 7.741 7.741 7.741 excite_mean 0.156 0.156 0.156 fracstop 1.000 1.000 1.000 cjmean 2.998 2.998 2.998 libcent 0 180.6 180.6 180.6 libamp 0 16.3 16.3 16.4 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 184.2 184.2 184.2 kozaiamp 180.0 180.0 179.9