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: 13XU33 # Created Sun Dec 22 02:09:53 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 9.07y # First observation: 2013/11/03 # Last observation: 2022/11/28 # Chi-squared of fit: 5.11 DOF: 52 RMS: 0.07 # Min/Max residuals: -0.16 0.13 # Exact a, adot, b, bdot, g, gdot: 1.485805E-05 2.622166E-02 5.489331E-06 9.321259E-03 2.675628E-02 -2.451505E-03 # Covariance matrix: 1.7054E-13 -8.2731E-14 2.4347E-14 -2.3451E-14 1.1493E-14 -2.7753E-13 -8.2731E-14 7.0037E-14 -2.3901E-14 2.3477E-14 -1.9731E-14 2.7832E-13 2.4347E-14 -2.3901E-14 1.1629E-13 -2.8305E-14 -1.9057E-16 -1.0460E-13 -2.3451E-14 2.3477E-14 -2.8305E-14 1.5356E-14 -7.1978E-15 1.0309E-13 1.1493E-14 -1.9731E-14 -1.9057E-16 -7.1978E-15 1.3651E-13 -9.2835E-14 -2.7753E-13 2.7832E-13 -1.0460E-13 1.0309E-13 -9.2835E-14 1.2225E-12 # lat0 lon0 xBary yBary zBary JD0 -12.275109 24.394504 -0.274364 -0.202338 -0.930527 2456599.559968 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 310.53431 +/- 0.025 Argument of Peri: 26.67717 +/- 0.033 Long of Asc Node: 54.98374 +/- 0.000 Inclination: 22.87835 +/- 0.000 Eccentricity: 0.10018932 +/- 0.0000 Semi-Major Axis: 40.69652804 +/- 0.0026 Time of Perihelion: 2469630.2485 +/- 10.3 Perihelion: 36.61917038 +/- 0.0027 Aphelion: 44.77388571 +/- 0.0031 Period (y) 259.6236 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.01268803 +/- 0.0005 Ecliptic Y 15.72945362 +/- 0.0002 Ecliptic Z -7.94585552 +/- 0.0001 Ecliptic XDOT -0.00115291 +/- 0.0000 Ecliptic YDOT 0.00242446 +/- 0.0000 Ecliptic ZDOT 0.00098547 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.30690682 +/- 0.0004 Geocenter to KBO 37.37448679 +/- 0.0005 # Hcoef: 7.34
The following table shows the complete astrometric record for 13XU33. 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 (13XU33) followed by the observatory code and reference code for the source of the astrometry.
2013 11 03.05919 01 48 17.34 -01 58 43.6 23.8r 13XU33 W84 C~3clm 2013 11 03.12180 01 48 17.02 -01 58 44.7 13XU33 W84 C~3clm 2013 11 03.20695 01 48 16.58 -01 58 46.2 13XU33 W84 C~3clm 2013 12 01.18002 01 46 10.99 -02 03 09.6 23.5r 13XU33 W84 C~3clm 2013 12 01.18139 01 46 10.987 -02 03 09.68 22.8i 13XU33 W84 C~4yRo 2013 12 20.12539 01 45 14.519 -02 01 22.88 22.7i 13XU33 W84 C~4yRo 2014 08 18.37835 01 58 20.607 -00 24 07.10 23.2i 13XU33 W84 C~4yRo 2014 10 01.33657 01 55 54.460 -00 43 04.83 23.0r 13XU33 W84 C~4yRo 2014 10 21.29028 01 54 14.753 -00 51 35.49 22.8r 13XU33 W84 C~4yRo 2014 12 25.08913 01 49 50.746 -00 58 37.45 22.8z 13XU33 W84 C~4yRo 2015 01 15.04625 01 49 33.380 -00 51 29.07 23.0z 13XU33 W84 C~4yRo 2015 01 16.04263 01 49 33.671 -00 51 02.22 23.1z 13XU33 W84 C~4yRo 2015 09 04.32065 02 02 31.521 +00 31 52.77 23.0z 13XU33 W84 C~4yRo 2015 11 20.13475 01 56 37.493 +00 02 54.46 22.7z 13XU33 W84 C~4yRo 2015 12 29.13643 01 54 30.196 +00 04 14.45 22.9z 13XU33 W84 C~4yRo 2016 01 12.05868 01 54 17.204 +00 08 39.98 23.7r 13XU33 W84 C~4yRo 2016 08 26.34885 02 07 42.467 +01 37 39.99 23.2r 13XU33 W84 C~4yRo 2016 09 09.40021 02 07 04.109 +01 32 16.79 23.1i 13XU33 W84 C~4yRo 2016 09 10.38751 02 07 00.812 +01 31 52.35 22.5z 13XU33 W84 C~4yRo 2016 10 22.23427 02 03 51.238 +01 14 07.27 22.5z 13XU33 W84 C~4yRo 2017 09 18.33522 02 11 25.610 +02 31 47.65 23.3r 13XU33 W84 C~4yRo 2018 09 11.32738 02 16 45.634 +03 37 57.78 22.7i 13XU33 W84 C~4yRo 2018 09 11.32877 02 16 45.623 +03 37 57.80 23.7r 13XU33 W84 C~4yRo 2018 10 20.21247 02 13 53.749 +03 22 16.57 22.4z 13XU33 W84 C~4yRo 2018 11 28.04459 02 10 37.702 +03 11 23.35 22.6r 13XU33 W84 C~4yRo 2018 11 29.17618 02 10 32.730 +03 11 14.36 24.3g 13XU33 W84 C~4yRo 2022 11 28.100710 02 30 36.540 +07 27 07.92 23.2G 13XU33 G37 C~675t 2022 11 28.151890 02 30 36.291 +07 27 07.42 13XU33 G37 C~675t 2022 11 28.204040 02 30 36.035 +07 27 06.85 13XU33 G37 C~675t
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 0.12 0.00 0.05
2 0.0002 0.00 0.13 0.00 0.04
3 0.0004 0.00 0.07 0.00 0.01
4 0.0770 0.00 -0.09 0.00 -0.01
5 0.0770 0.00 -0.05 0.00 -0.09
6 0.1289 0.00 0.04 0.00 0.03
7 0.7894 0.00 -0.03 0.00 -0.00
8 0.9097 0.00 -0.16 0.00 -0.11
9 0.9644 0.00 -0.15 0.00 0.02
10 1.1418 0.00 0.03 0.00 -0.16
11 1.1991 0.00 -0.15 0.00 0.13
12 1.2019 0.00 0.03 0.00 -0.04
13 1.8351 0.00 -0.03 0.00 0.09
14 2.0454 0.00 0.11 0.00 0.03
15 2.1522 0.00 -0.01 0.00 0.04
16 2.1903 0.00 0.07 0.00 -0.03
17 2.8126 0.00 0.01 0.00 -0.01
18 2.8510 0.00 0.13 0.00 0.02
19 2.8537 0.00 0.07 0.00 0.03
20 2.9683 0.00 0.09 0.00 -0.07
21 3.8748 0.00 0.02 0.00 0.02
22 4.8549 0.00 0.03 0.00 -0.07
23 4.8549 0.00 -0.06 0.00 -0.01
24 4.9614 0.00 -0.14 0.00 0.11
25 5.0677 0.00 -0.02 0.00 0.03
26 5.0708 0.00 -0.02 0.00 0.04
27 9.0679 0.00 0.04 0.00 -0.08
28 9.0680 0.00 0.02 0.00 -0.00
29 9.0682 0.00 -0.03 0.00 0.02
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.
13XU33 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.909 40.909 40.909 ecceobj 0.101 0.101 0.101 incobj 22.860 22.860 22.860 qmin 35.615 35.752 35.690 qmax 46.098 45.856 46.089 amean 40.698 40.698 40.698 amin 40.323 40.311 40.343 amax 41.083 41.085 41.076 emean 0.103 0.101 0.102 emin 0.087 0.083 0.087 emax 0.123 0.118 0.122 imean 21.515 21.518 21.523 imin 20.838 20.874 20.825 imax 22.133 22.155 22.158 excite_mean 0.381 0.381 0.381 fracstop 1.000 1.000 1.000 cjmean 2.891 2.892 2.891 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 174.5 179.5 174.1 kozaiamp 180.0 179.9 179.9