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: 13UH15 # Created Sat Apr 20 01:15:29 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 1.96y # First observation: 2013/10/29 # Last observation: 2015/10/16 Preliminary a, adot, b, bdot, g, gdot: -0.000043 0.017569 0.000019 -0.007666 0.019441 0.000000 # Chi-squared of fit: 9.83 DOF: 14 RMS: 0.18 # Min/Max residuals: -0.22 0.37 # Exact a, adot, b, bdot, g, gdot: 1.408498E-05 1.709924E-02 -6.971211E-06 -7.481722E-03 1.953495E-02 -1.197760E-02 # Covariance matrix: 3.7291E-13 -5.0745E-13 -2.8551E-14 1.1062E-13 4.3012E-13 -6.7796E-12 -5.0745E-13 3.1154E-12 1.2802E-13 -1.1272E-12 8.6554E-14 7.6727E-11 -2.8551E-14 1.2802E-13 2.5230E-13 -2.0167E-13 -6.2727E-14 3.0243E-12 1.1062E-13 -1.1272E-12 -2.0167E-13 6.9488E-13 -1.7624E-13 -3.0962E-11 4.3012E-13 8.6554E-14 -6.2727E-14 -1.7624E-13 2.2836E-12 1.5879E-11 -6.7796E-12 7.6727E-11 3.0243E-12 -3.0962E-11 1.5879E-11 2.1306E-09 # lat0 lon0 xBary yBary zBary JD0 -12.119368 21.772376 -0.235222 -0.202313 -0.942714 2456594.581188 # Heliocentric elements and errors Epoch: 2456590.5000 = 2013/10/25 Mean Anomaly: 353.49975 +/- 0.124 Argument of Peri: 282.73601 +/- 0.069 Long of Asc Node: 176.56169 +/- 0.002 Inclination: 26.09374 +/- 0.001 Eccentricity: 0.80313417 +/- 0.0028 Semi-Major Axis: 177.82163072 +/- 2.2629 Time of Perihelion: 2472229.2852 +/- 17.5 Perihelion: 35.00700362 +/- 0.6719 Aphelion: 320.63625782 +/- 4.1112 Period (y) 2371.2923 +/- 45.26 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 47.28632724 +/- 0.0036 Ecliptic Y 19.14344899 +/- 0.0014 Ecliptic Z -10.74774001 +/- 0.0008 Ecliptic XDOT -0.00262370 +/- 0.0000 Ecliptic YDOT 0.00153349 +/- 0.0000 Ecliptic ZDOT -0.00067263 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 52.13427182 +/- 0.0033 Geocenter to KBO 51.19030620 +/- 0.0040 # Hcoef: 7.68
The following table shows the complete astrometric record for 13UH15. 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 (13UH15) followed by the observatory code and reference code for the source of the astrometry.
2013 10 29.08041 01 38 30.772 -02 46 20.79 24.8r 13UH15 304 C~1x8X 2013 10 30.06945 01 38 27.258 -02 46 42.54 24.8r 13UH15 304 C~1x8X 2013 10 30.13335 01 38 27.015 -02 46 43.53 24.8r 13UH15 304 C~1x8X 2013 10 30.20127 01 38 26.776 -02 46 45.46 24.8r 13UH15 304 C~1x8X 2013 12 23.07854 01 36 07.254 -02 55 26.47 24.7r 13UH15 I11 C~1x8X 2013 12 24.10280 01 36 06.140 -02 55 22.57 13UH15 I11 C~1x8X 2014 10 26.03329 01 43 02.698 -02 47 17.29 13UH15 304 C~1x8X 2014 10 26.06964 01 43 02.530 -02 47 18.14 13UH15 304 C~1x8X 2015 10 16.31811 01 48 05.751 -02 45 19.40 24.6r 13UH15 304 C~1x8X 2015 10 16.34413 01 48 05.655 -02 45 20.04 24.6r 13UH15 304 C~1x8X
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 -0.05 0.00 0.19
2 0.0027 -56.96 0.05 -0.74 -0.16
3 0.0029 -60.71 0.03 -0.31 0.26
4 0.0031 -64.75 -0.05 -0.78 -0.22
5 0.1506 -2199.63 0.04 287.64 -0.22
6 0.1534 -2213.70 -0.13 297.43 -0.17
7 0.9910 3764.07 0.33 -1561.24 0.19
8 0.9911 3761.42 -0.14 -1561.10 0.37
9 1.9637 8028.06 -0.06 -3138.88 -0.14
10 1.9638 8026.49 -0.03 -3138.94 -0.11
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.
13UH15 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 179.939 186.818 173.621 ecceobj 0.804 0.813 0.796 incobj 26.002 26.000 26.004 qmin 33.463 33.279 33.675 qmax 335.016 349.171 322.648 amean 174.053 180.203 168.593 amin 166.796 172.908 163.051 amax 185.615 192.122 179.021 emean 0.795 0.803 0.787 emin 0.785 0.789 0.773 emax 0.808 0.818 0.802 imean 26.341 26.512 26.488 imin 25.351 25.361 25.379 imax 28.042 27.915 28.171 excite_mean 0.911 0.919 0.905 fracstop 1.000 1.000 1.000 cjmean 2.785 2.778 2.791 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 311.3 312.5 314.3 kozaiamp 30.7 28.8 34.1