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: 13UO15 # Created Fri Apr 26 01:15:31 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 4.14y # First observation: 2013/08/02 # Last observation: 2017/09/23 Preliminary a, adot, b, bdot, g, gdot: -0.000175 0.021817 -0.000008 0.000976 0.023071 0.000000 # Chi-squared of fit: 4.52 DOF: 44 RMS: 0.08 # Min/Max residuals: -0.23 0.25 # Exact a, adot, b, bdot, g, gdot: 1.478081E-05 2.159480E-02 6.260545E-07 9.685771E-04 2.298741E-02 1.477744E-03 # Covariance matrix: 1.6085E-13 -6.8632E-14 1.3091E-15 -1.5411E-15 6.6974E-14 -4.7139E-13 -6.8632E-14 2.7058E-13 -2.5397E-15 1.0446E-14 1.3302E-13 3.2100E-12 1.3091E-15 -2.5397E-15 9.9993E-14 -4.4168E-14 -6.3732E-17 -3.8496E-14 -1.5411E-15 1.0446E-14 -4.4168E-14 4.7034E-14 5.6490E-15 1.5048E-13 6.6974E-14 1.3302E-13 -6.3732E-17 5.6490E-15 1.9330E-13 1.7390E-12 -4.7139E-13 3.2100E-12 -3.8496E-14 1.5048E-13 1.7390E-12 4.6236E-11 # lat0 lon0 xBary yBary zBary JD0 -2.787938 17.535458 0.938829 -0.018959 -0.389948 2456507.036518 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 101.87014 +/- 0.158 Argument of Peri: 205.12974 +/- 0.151 Long of Asc Node: 64.13942 +/- 0.006 Inclination: 3.72496 +/- 0.000 Eccentricity: 0.04599677 +/- 0.0003 Semi-Major Axis: 43.40469504 +/- 0.0031 Time of Perihelion: 2426944.3491 +/- 45.8 Perihelion: 41.40821941 +/- 0.0129 Aphelion: 45.40117068 +/- 0.0130 Period (y) 285.9653 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.08635964 +/- 0.0008 Ecliptic Y 12.31703699 +/- 0.0002 Ecliptic Z -2.11585091 +/- 0.0000 Ecliptic XDOT -0.00060818 +/- 0.0000 Ecliptic YDOT 0.00250630 +/- 0.0000 Ecliptic ZDOT 0.00010680 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.90270940 +/- 0.0008 Geocenter to KBO 43.50208158 +/- 0.0008 # Hcoef: 6.81
The following table shows the complete astrometric record for 13UO15. 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 (13UO15) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.53574 01 08 56.384 +04 18 21.14 23.3r 13UO15 568 C~2NKU 2013 08 02.57845 01 08 56.332 +04 18 20.74 23.3r 13UO15 568 C~2NKU 2013 08 30.45291 01 07 56.439 +04 10 54.08 22.8r 13UO15 568 C~2NKU 2013 08 30.45765 01 07 56.413 +04 10 54.20 22.8r 13UO15 568 C~2NKU 2013 08 31.45558 01 07 53.310 +04 10 32.75 23.1r 13UO15 568 C~2NKU 2013 08 31.52122 01 07 53.112 +04 10 31.32 23.1r 13UO15 568 C~2NKU 2013 10 06.41689 01 05 33.314 +03 55 35.60 23.0r 13UO15 568 C~2NKU 2013 10 31.25837 01 03 47.215 +03 45 11.62 23.2r 13UO15 568 C~25nm 2013 10 31.30132 01 03 47.036 +03 45 10.65 23.2r 13UO15 568 C~25nm 2013 10 31.34404 01 03 46.868 +03 45 09.72 23.2r 13UO15 568 C~25nm 2013 11 01.28510 01 03 43.092 +03 44 48.46 23.0r 13UO15 568 C~2NKU 2013 11 01.41360 01 03 42.570 +03 44 45.57 23.2r 13UO15 568 C~2NKU 2014 06 27.60559 01 13 09.921 +04 49 55.75 23.4r 13UO15 568 C~2NKU 2014 06 28.61065 01 13 11.828 +04 50 04.04 23.0r 13UO15 568 C~2NKU 2014 07 24.55698 01 13 32.522 +04 50 41.26 23.3r 13UO15 568 C~25nm 2014 07 27.58768 01 13 31.316 +04 50 23.72 23.3r 13UO15 568 C~2NKU 2014 08 22.55650 01 12 51.345 +04 45 01.53 23.3r 13UO15 568 C~2NKU 2014 08 28.41844 01 12 35.606 +04 43 11.19 23.4r 13UO15 568 C~2NKU 2014 11 24.28276 01 06 55.587 +04 09 22.23 23.5r 13UO15 568 C~2NKU 2014 11 25.30908 01 06 52.605 +04 09 07.58 23.3r 13UO15 568 C~2NKU 2014 12 17.26271 01 06 06.840 +04 05 56.05 23.6r 13UO15 568 C~2NKU 2015 01 17.24366 01 06 10.312 +04 08 42.63 23.3r 13UO15 568 C~2NKU 2015 12 07.38604 01 10 53.680 +04 38 12.62 23.3w 13UO15 568 C~2NKU 2017 09 23.35779 01 24 40.90 +06 06 52.5 23.0R 13UO15 G37 C~2LSm 2017 09 23.44459 01 24 40.54 +06 06 50.4 13UO15 G37 C~2LSm
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 0.01
2 0.0001 -0.87 0.01 -0.07 0.05
3 0.0764 -999.38 0.08 -72.22 -0.01
4 0.0764 -999.69 0.01 -71.96 0.25
5 0.0792 -1050.78 -0.11 -74.12 0.06
6 0.0794 -1054.07 0.06 -74.32 -0.04
7 0.1776 -3329.58 -0.04 -105.49 0.02
8 0.2456 -5036.15 -0.04 -76.33 0.01
9 0.2458 -5039.00 -0.08 -76.20 0.03
10 0.2459 -5041.68 0.04 -76.10 0.02
11 0.2485 -5102.07 0.01 -74.17 0.04
12 0.2488 -5110.40 0.03 -73.86 0.02
13 0.9009 4227.03 -0.01 313.34 -0.01
14 0.9037 4256.56 0.02 310.21 -0.02
15 0.9747 4557.04 -0.05 227.43 -0.05
16 0.9830 4533.70 0.03 218.02 -0.02
17 1.0541 3858.41 -0.02 146.29 0.04
18 1.0702 3598.78 0.01 133.40 0.03
19 1.3107 -1876.17 -0.01 189.54 -0.10
20 1.3135 -1923.00 0.04 192.99 -0.12
21 1.3737 -2629.11 0.01 276.86 -0.14
22 1.4585 -2517.57 0.02 411.07 -0.15
23 2.3459 2075.37 -0.02 435.43 -0.23
24 4.1419 15552.26 0.04 702.45 0.10
25 4.1421 15546.46 -0.04 702.52 0.18
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.
13UO15 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.634 43.644 43.624 ecceobj 0.047 0.048 0.047 incobj 3.724 3.724 3.724 qmin 40.763 40.736 40.784 qmax 46.201 46.245 46.198 amean 43.381 43.391 43.371 amin 43.049 43.056 43.035 amax 43.721 43.743 43.716 emean 0.038 0.039 0.038 emin 0.020 0.020 0.020 emax 0.057 0.058 0.057 imean 2.020 2.021 2.017 imin 1.148 1.150 1.143 imax 2.807 2.807 2.807 excite_mean 0.053 0.053 0.052 fracstop 1.000 1.000 1.000 cjmean 3.091 3.091 3.091 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 188.9 189.3 189.1 kozaiamp 180.0 180.0 179.9