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: 11UK413
# Created Fri Apr 26 01:13:56 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 47 observations of 47
# Arc: 13.77y
# First observation: 2003/11/24
# Last observation: 2017/09/01
# Chi-squared of fit: 53.27 DOF: 88 RMS: 0.19
# Min/Max residuals: -0.74 0.60
# Exact a, adot, b, bdot, g, gdot:
1.627168E-05 2.444604E-02 -4.548269E-06 -5.756108E-03 2.525287E-02 2.192224E-03
# Covariance matrix:
7.0219E-13 -1.3815E-13 -7.0368E-14 2.3098E-14 -1.0787E-13 -2.6489E-13
-1.3815E-13 3.6476E-14 2.3107E-14 -7.5947E-15 2.4739E-14 8.7171E-14
-7.0368E-14 2.3107E-14 3.9496E-13 -4.2474E-14 1.2639E-14 6.2913E-14
2.3098E-14 -7.5947E-15 -4.2474E-14 5.7516E-15 -4.0525E-15 -2.0698E-14
-1.0787E-13 2.4739E-14 1.2639E-14 -4.0525E-15 1.2138E-13 4.5783E-14
-2.6489E-13 8.7171E-14 6.2913E-14 -2.0698E-14 4.5783E-14 2.3772E-13
# lat0 lon0 xBary yBary zBary JD0
3.344425 62.942040 0.029114 0.057566 -0.984183 2452967.769583
# Heliocentric elements and errors
Epoch: 2452968.5000 = 2003/11/25
Mean Anomaly: 68.69682 +/- 0.020
Argument of Peri: 87.62687 +/- 0.024
Long of Asc Node: 256.52490 +/- 0.000
Inclination: 13.61214 +/- 0.000
Eccentricity: 0.08752424 +/- 0.0000
Semi-Major Axis: 41.61939091 +/- 0.0022
Time of Perihelion: 2434254.0909 +/- 5.6
Perihelion: 37.97668538 +/- 0.0022
Aphelion: 45.26209644 +/- 0.0026
Period (y) 268.5046 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 18.45334469 +/- 0.0002
Ecliptic Y 36.07321374 +/- 0.0005
Ecliptic Z 2.30997945 +/- 0.0000
Ecliptic XDOT -0.00224026 +/- 0.0000
Ecliptic YDOT 0.00144318 +/- 0.0000
Ecliptic ZDOT -0.00060898 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.58490407 +/- 0.0005
Geocenter to KBO 39.59945557 +/- 0.0005
# Hcoef: 6.48
The following table shows the complete astrometric record for 11UK413. 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 (11UK413) followed by the observatory code and reference code for the source of the astrometry.
2003 11 24.26884 04 00 44.49 +24 01 35.6 21.6R 11UK413 695 C~1w3o 2003 11 24.34422 04 00 44.10 +24 01 33.9 11UK413 695 C~1w3o 2010 10 11.48971 04 47 01.143 +23 27 08.98 23.9G 11UK413 F51 C~345i 2010 11 07.55785 04 45 18.606 +23 23 10.22 21.8G 11UK413 F51 C~345i 2010 11 09.54329 04 45 09.186 +23 22 48.91 22.7w 11UK413 F51 C~1w3o 2010 11 09.56142 04 45 09.089 +23 22 48.67 22.6w 11UK413 F51 C~1w3o 2010 11 09.57966 04 45 09.021 +23 22 48.49 22.4w 11UK413 F51 C~1w3o 2010 11 09.59782 04 45 08.930 +23 22 48.30 22.5w 11UK413 F51 C~1w3o 2010 11 16.53919 04 44 34.423 +23 21 28.19 22.4G 11UK413 F51 C~345i 2010 11 16.55074 04 44 34.364 +23 21 28.69 22.4i 11UK413 F51 C~1w3o 2011 10 25.42693 04 52 15.700 +23 15 42.94 22.5w 11UK413 F51 C~1w3o 2011 10 25.44144 04 52 15.648 +23 15 42.87 22.9w 11UK413 F51 C~1w3o 2011 10 25.45588 04 52 15.605 +23 15 42.76 22.5w 11UK413 F51 C~1w3o 2011 10 25.47033 04 52 15.535 +23 15 42.58 22.8w 11UK413 F51 C~1w3o 2011 11 24.55209 04 49 55.644 +23 10 31.59 22.5r 11UK413 F51 C~1w3o 2011 11 24.56387 04 49 55.573 +23 10 31.39 21.9r 11UK413 F51 C~1w3o 2011 11 30.31306 04 49 24.780 +23 09 21.93 22.0i 11UK413 F51 C~1w3o 2011 11 30.32565 04 49 24.705 +23 09 21.99 22.2i 11UK413 F51 C~1w3o 2012 10 11.60692 04 58 53.141 +23 06 50.50 22.9G 11UK413 F51 C~345i 2012 10 11.62097 04 58 53.097 +23 06 50.97 22.6G 11UK413 F51 C~345i 2012 11 06.58702 04 57 20.163 +23 03 21.39 22.8G 11UK413 F51 C~345i 2012 11 06.60051 04 57 20.111 +23 03 21.87 22.2G 11UK413 F51 C~345i 2013 11 27.36249 05 01 34.964 +22 48 49.88 22.3w 11UK413 F51 C~1w3o 2013 11 27.37773 05 01 34.895 +22 48 49.80 22.1w 11UK413 F51 C~1w3o 2013 11 27.39294 05 01 34.805 +22 48 49.43 22.2w 11UK413 F51 C~1w3o 2013 11 27.40829 05 01 34.730 +22 48 49.47 22.0w 11UK413 F51 C~1w3o 2013 12 25.29191 04 59 05.579 +22 43 47.20 22.9G 11UK413 F51 C~345i 2013 12 25.30506 04 59 05.546 +22 43 47.17 22.2G 11UK413 F51 C~345i 2013 12 25.31829 04 59 05.489 +22 43 46.84 23.2G 11UK413 F51 C~345i 2014 02 26.24589 04 56 00.690 +22 35 51.46 23.2G 11UK413 F51 C~345i 2015 01 18.23213 05 03 11.183 +22 28 51.92 22.2G 11UK413 F51 C~345i 2015 01 18.24608 05 03 11.143 +22 28 51.73 21.9G 11UK413 F51 C~345i 2015 01 18.26002 05 03 11.074 +22 28 51.31 22.6G 11UK413 F51 C~345i 2015 01 18.27400 05 03 11.003 +22 28 51.35 22.9G 11UK413 F51 C~345i 2015 01 20.22615 05 03 03.631 +22 28 35.89 21.9G 11UK413 F51 C~345i 2015 01 20.23971 05 03 03.561 +22 28 35.80 22.3G 11UK413 F51 C~345i 2015 01 20.25328 05 03 03.529 +22 28 35.53 22.3G 11UK413 F51 C~345i 2015 01 20.26680 05 03 03.460 +22 28 35.40 22.6G 11UK413 F51 C~345i 2016 01 14.39821 05 09 18.049 +22 17 35.51 22.8G 11UK413 F51 C~345i 2016 01 14.41220 05 09 17.995 +22 17 35.30 23.0G 11UK413 F51 C~345i 2016 01 14.42609 05 09 17.930 +22 17 35.33 22.8G 11UK413 F51 C~345i 2016 01 14.43998 05 09 17.880 +22 17 34.87 22.4G 11UK413 F51 C~345i 2016 11 03.62098 05 20 58.361 +22 14 43.75 22.7G 11UK413 F51 C~345i 2016 11 03.62747 05 20 58.353 +22 14 43.55 23.3G 11UK413 F51 C~345i 2016 11 03.63394 05 20 58.297 +22 14 43.60 22.8G 11UK413 F51 C~345i 2016 11 03.64041 05 20 58.268 +22 14 43.30 23.6G 11UK413 F51 C~345i 2017 09 01.59519 05 27 41.134 +22 06 19.76 23.2G 11UK413 F51 C~345i
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 -0.26 0.00 0.15
2 0.0002 0.00 0.17 0.00 -0.16
3 6.8808 0.00 -0.03 0.00 0.15
4 6.9549 0.00 -0.31 0.00 -0.42
5 6.9604 0.00 0.14 0.00 0.02
6 6.9604 0.00 0.01 0.00 -0.02
7 6.9605 0.00 0.33 0.00 0.01
8 6.9605 0.00 0.30 0.00 0.03
9 6.9795 0.00 0.16 0.00 -0.31
10 6.9796 0.00 0.18 0.00 0.33
11 7.9183 0.00 -0.21 0.00 -0.04
12 7.9183 0.00 -0.17 0.00 0.01
13 7.9184 0.00 0.01 0.00 0.02
14 7.9184 0.00 -0.21 0.00 -0.04
15 8.0008 0.00 0.11 0.00 0.11
16 8.0008 0.00 -0.01 0.00 0.06
17 8.0165 0.00 0.12 0.00 -0.25
18 8.0166 0.00 0.03 0.00 -0.04
19 8.8825 0.00 -0.02 0.00 -0.13
20 8.8826 0.00 -0.14 0.00 0.43
21 8.9536 0.00 0.07 0.00 -0.02
22 8.9537 0.00 0.22 0.00 0.60
23 10.0098 0.00 -0.20 0.00 0.01
24 10.0099 0.00 -0.00 0.00 0.09
25 10.0099 0.00 -0.12 0.00 -0.12
26 10.0100 0.00 -0.01 0.00 0.08
27 10.0863 0.00 -0.74 0.00 -0.22
28 10.0863 0.00 -0.21 0.00 -0.11
29 10.0864 0.00 -0.03 0.00 -0.30
30 10.2587 0.00 0.08 0.00 0.05
31 11.1512 0.00 -0.04 0.00 0.16
32 11.1512 0.00 0.19 0.00 0.08
33 11.1512 0.00 -0.02 0.00 -0.23
34 11.1513 0.00 -0.26 0.00 -0.08
35 11.1566 0.00 0.21 0.00 0.13
36 11.1567 0.00 -0.07 0.00 0.15
37 11.1567 0.00 0.22 0.00 -0.02
38 11.1567 0.00 -0.04 0.00 -0.04
39 12.1400 0.00 0.00 0.00 0.10
40 12.1400 0.00 0.10 0.00 -0.00
41 12.1401 0.00 0.03 0.00 0.14
42 12.1401 0.00 0.18 0.00 -0.21
43 12.9455 0.00 0.01 0.00 0.08
44 12.9455 0.00 0.28 0.00 -0.07
45 12.9456 0.00 -0.16 0.00 0.03
46 12.9456 0.00 -0.21 0.00 -0.21
47 13.7723 0.00 0.16 0.00 0.04
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.
11UK413 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.898 41.898 41.898 ecceobj 0.093 0.093 0.093 incobj 13.594 13.594 13.594 qmin 37.282 37.281 37.284 qmax 46.153 46.140 46.133 amean 41.618 41.618 41.618 amin 41.275 41.272 41.283 amax 41.984 41.969 41.982 emean 0.089 0.089 0.089 emin 0.078 0.076 0.078 emax 0.100 0.100 0.100 imean 15.429 15.431 15.429 imin 14.635 14.642 14.637 imax 16.204 16.200 16.204 excite_mean 0.281 0.281 0.281 fracstop 1.000 1.000 1.000 cjmean 2.981 2.981 2.981 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 178.0 178.0 177.9 kozaiamp 179.9 179.9 180.0