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: 13UL49
# Created Tue Apr 1 01:09:52 2025
# Orbit generated from Bernstein formalism
# Fitting 17 observations of 17
# Arc: 5.00y
# First observation: 2013/10/28
# Last observation: 2018/10/28
Preliminary a, adot, b, bdot, g, gdot:
0.000010 0.021068 0.000002 -0.004661 0.023551 0.000000
# Chi-squared of fit: 3.45 DOF: 28 RMS: 0.08
# Min/Max residuals: -0.21 0.23
# Exact a, adot, b, bdot, g, gdot:
1.436991E-05 2.104487E-02 -2.792142E-06 -4.645210E-03 2.299849E-02 3.105922E-04
# Covariance matrix:
6.2609E-13 -3.4246E-13 -2.8667E-14 4.7023E-14 -1.2450E-13 -2.0686E-12
-3.4246E-13 4.3375E-13 5.1065E-14 -8.4033E-14 1.1704E-13 3.7040E-12
-2.8667E-14 5.1065E-14 5.0827E-13 -1.3651E-13 2.2437E-14 4.8257E-13
4.7023E-14 -8.4033E-14 -1.3651E-13 5.5918E-14 -3.5303E-14 -7.9308E-13
-1.2450E-13 1.1704E-13 2.2437E-14 -3.5303E-14 6.8195E-13 1.5126E-12
-2.0686E-12 3.7040E-12 4.8257E-13 -7.9308E-13 1.5126E-12 3.4929E-11
# lat0 lon0 xBary yBary zBary JD0
3.360441 -2.974725 -0.603207 0.046332 -0.787121 2456593.540348
# Heliocentric elements and errors
Epoch: 2456590.5000 = 2013/10/25
Mean Anomaly: 121.42408 +/- 0.364
Argument of Peri: 40.71279 +/- 0.356
Long of Asc Node: 192.37522 +/- 0.000
Inclination: 12.91515 +/- 0.001
Eccentricity: 0.03054945 +/- 0.0002
Semi-Major Axis: 43.54898150 +/- 0.0061
Time of Perihelion: 2421185.2438 +/- 105.9
Perihelion: 42.21858409 +/- 0.0112
Aphelion: 44.87937890 +/- 0.0114
Period (y) 287.3924 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 44.16603188 +/- 0.0016
Ecliptic Y -1.68808645 +/- 0.0001
Ecliptic Z 2.54858756 +/- 0.0001
Ecliptic XDOT 0.00019307 +/- 0.0000
Ecliptic YDOT 0.00249672 +/- 0.0000
Ecliptic ZDOT -0.00054973 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.27169870 +/- 0.0016
Geocenter to KBO 43.48110842 +/- 0.0016
# Hcoef: 6.70
The following table shows the complete astrometric record for 13UL49. 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 (13UL49) followed by the observatory code and reference code for the source of the astrometry.
2013 10 28.03957 23 43 44.418 +01 54 03.65 22.8i 13UL49 W84 C~52Rk 2013 11 22.05198 23 42 48.271 +01 45 07.95 24.0g 13UL49 W84 C~52Rk 2014 10 14.21806 23 49 23.972 +02 14 38.59 22.4z 13UL49 W84 C~52Rk 2016 09 22.12724 00 00 34.191 +02 53 20.63 24.0g 13UL49 W84 C~52Rk 2016 10 02.16510 23 59 52.218 +02 48 15.60 23.0r 13UL49 W84 C~52Rk 2016 10 02.16649 23 59 52.219 +02 48 15.61 23.6g 13UL49 W84 C~52Rk 2017 08 28.25658 00 07 05.606 +03 18 48.85 23.2r 13UL49 W84 C~52Rk 2017 08 28.25795 00 07 05.607 +03 18 48.73 23.1i 13UL49 W84 C~52Rk 2017 09 27.18416 00 05 05.040 +03 04 40.78 22.2i 13UL49 W84 C~52Rk 2017 09 27.18554 00 05 05.026 +03 04 40.81 23.0r 13UL49 W84 C~52Rk 2017 10 29.15084 00 03 01.463 +02 49 08.37 22.5z 13UL49 W84 C~52Rk 2017 10 29.15498 00 03 01.445 +02 49 08.27 22.6i 13UL49 W84 C~52Rk 2017 11 08.07280 00 02 31.607 +02 45 03.01 22.9r 13UL49 W84 C~52Rk 2017 11 08.07418 00 02 31.602 +02 45 03.03 24.5g 13UL49 W84 C~52Rk 2018 09 09.25802 00 11 11.231 +03 27 15.26 24.5g 13UL49 W84 C~52Rk 2018 10 18.15858 00 08 31.856 +03 08 01.52 22.6z 13UL49 W84 C~52Rk 2018 10 28.17245 00 07 55.544 +03 03 22.16 22.7i 13UL49 W84 C~52Rk
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 0.02 0.00 -0.08
2 0.0685 -985.37 -0.01 -156.93 0.23
3 0.9615 5162.99 -0.03 -887.80 -0.21
4 2.9024 15333.21 0.17 -2734.18 0.11
5 2.9298 14631.32 -0.04 -2765.98 0.01
6 2.9298 14631.33 0.07 -2765.98 0.01
7 3.8336 21372.97 -0.07 -3647.01 0.09
8 3.8336 21372.94 -0.01 -3647.13 -0.02
9 3.9155 19359.54 -0.01 -3714.79 -0.09
10 3.9155 19359.36 -0.09 -3714.68 0.02
11 4.0030 17274.14 -0.01 -3841.24 -0.07
12 4.0031 17273.85 -0.06 -3841.22 -0.04
13 4.0302 16762.82 -0.03 -3890.11 -0.03
14 4.0302 16762.75 -0.02 -3890.06 0.03
15 4.8658 25001.44 0.03 -4636.49 -0.00
16 4.9723 22318.02 -0.03 -4757.68 0.01
17 4.9997 21701.05 0.12 -4800.21 0.05
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.
13UL49 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.791 43.810 43.773 ecceobj 0.029 0.029 0.029 incobj 12.879 12.879 12.879 qmin 41.682 41.675 41.637 qmax 45.769 45.757 45.735 amean 43.623 43.642 43.604 amin 43.289 43.306 43.268 amax 43.972 43.975 43.950 emean 0.029 0.029 0.029 emin 0.016 0.017 0.016 emax 0.041 0.041 0.041 imean 13.291 13.290 13.292 imin 12.821 12.808 12.812 imax 13.744 13.735 13.744 excite_mean 0.232 0.232 0.232 fracstop 1.000 1.000 1.000 cjmean 3.032 3.032 3.031 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 182.3 181.4 182.8 kozaiamp 179.9 180.0 180.0