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: 13UX16 # Created Fri Nov 22 02:09:46 2024 # Orbit generated from Bernstein formalism # Fitting 44 observations of 44 # Arc: 4.08y # First observation: 2013/08/02 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000165 0.019062 0.000004 0.001362 0.022453 0.000000 # Chi-squared of fit: 17.69 DOF: 82 RMS: 0.11 # Min/Max residuals: -0.23 0.35 # Exact a, adot, b, bdot, g, gdot: 1.407650E-05 1.914186E-02 7.102411E-07 1.373522E-03 2.255904E-02 4.191605E-03 # Covariance matrix: 1.7310E-13 -2.3451E-14 9.1390E-16 9.3457E-16 1.1833E-13 2.1530E-13 -2.3451E-14 1.4716E-13 -3.4326E-15 1.0068E-14 7.6640E-14 1.9230E-12 9.1390E-16 -3.4326E-15 5.7806E-14 -2.4108E-14 -1.1751E-15 -5.1547E-14 9.3457E-16 1.0068E-14 -2.4108E-14 2.3958E-14 7.1459E-15 1.5774E-13 1.1833E-13 7.6640E-14 -1.1751E-15 7.1459E-15 1.6821E-13 1.4025E-12 2.1530E-13 1.9230E-12 -5.1547E-14 1.5774E-13 1.4025E-12 3.0196E-11 # lat0 lon0 xBary yBary zBary JD0 -1.787146 14.887548 0.920025 -0.013473 -0.432676 2456507.005448 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 115.78339 +/- 0.052 Argument of Peri: 199.49020 +/- 0.044 Long of Asc Node: 37.30429 +/- 0.002 Inclination: 4.41384 +/- 0.000 Eccentricity: 0.23544223 +/- 0.0002 Semi-Major Axis: 39.25574579 +/- 0.0037 Time of Perihelion: 2427607.2072 +/- 12.4 Perihelion: 30.01328566 +/- 0.0066 Aphelion: 48.49820593 +/- 0.0075 Period (y) 245.9592 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.47380676 +/- 0.0008 Ecliptic Y 10.60855660 +/- 0.0002 Ecliptic Z -1.38236481 +/- 0.0000 Ecliptic XDOT -0.00010667 +/- 0.0000 Ecliptic YDOT 0.00237629 +/- 0.0000 Ecliptic ZDOT 0.00015089 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.77079718 +/- 0.0008 Geocenter to KBO 44.32813667 +/- 0.0008 # Hcoef: 7.99
The following table shows the complete astrometric record for 13UX16. 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 (13UX16) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.50467 00 57 35.944 +04 13 01.43 24.1r 13UX16 568 C~2NKX 2013 08 02.54741 00 57 35.889 +04 13 01.06 24.4r 13UX16 568 C~2NKX 2013 08 31.42413 00 56 26.129 +04 05 09.98 24.1r 13UX16 568 C~2NKX 2013 08 31.46730 00 56 25.980 +04 05 09.23 24.3r 13UX16 568 C~2NKX 2013 09 04.40430 00 56 12.539 +04 03 42.51 25.2r 13UX16 568 C~2NKX 2013 09 04.44707 00 56 12.410 +04 03 41.55 24.5r 13UX16 568 C~2NKX 2013 10 05.37122 00 54 07.619 +03 50 41.81 24.4r 13UX16 568 C~2NKX 2013 10 05.37632 00 54 07.597 +03 50 41.51 24.3r 13UX16 568 C~2NKX 2013 10 06.37972 00 54 03.240 +03 50 15.09 25.0r 13UX16 568 C~2NKX 2013 10 06.44410 00 54 02.968 +03 50 13.34 24.1r 13UX16 568 C~2NKX 2013 10 09.50414 00 53 49.665 +03 48 52.72 24.0r 13UX16 568 C~2NKX 2013 10 09.50879 00 53 49.651 +03 48 52.63 24.2r 13UX16 568 C~2NKX 2013 10 31.22708 00 52 18.830 +03 39 54.32 23.7r 13UX16 568 C~2NKX 2013 10 31.27019 00 52 18.676 +03 39 53.39 24.5r 13UX16 568 C~2NKX 2013 10 31.31297 00 52 18.485 +03 39 52.45 24.2r 13UX16 568 C~2NKX 2013 11 01.25343 00 52 14.845 +03 39 31.27 24.2r 13UX16 568 C~2NKX 2013 11 01.37273 00 52 14.358 +03 39 28.68 24.9r 13UX16 568 C~2NKX 2013 11 02.29201 00 52 10.845 +03 39 08.61 24.0r 13UX16 568 C~2NKX 2013 11 05.37780 00 51 59.175 +03 38 01.60 24.0r 13UX16 568 C~2NKX 2013 11 07.43574 00 51 51.636 +03 37 18.98 25.0r 13UX16 568 C~2NKX 2013 12 04.24324 00 50 35.472 +03 30 33.34 24.9r 13UX16 568 C~2NKX 2013 12 05.31529 00 50 33.417 +03 30 23.77 24.8r 13UX16 568 C~2NKX 2014 06 28.57952 01 01 28.862 +04 43 16.10 24.6r 13UX16 568 C~2NKX 2014 07 23.55193 01 01 40.824 +04 43 49.29 24.4r 13UX16 568 C~2NKX 2014 08 22.61348 01 00 50.720 +04 37 57.38 25.0r 13UX16 568 C~2NKX 2014 08 28.45040 01 00 33.776 +04 36 06.90 25.3r 13UX16 568 C~2NKX 2014 10 23.27749 00 56 50.661 +04 13 12.69 24.2r 13UX16 568 C~2NKX 2014 10 23.33112 00 56 50.454 +04 13 11.49 24.8r 13UX16 568 C~2NKX 2014 10 23.38450 00 56 50.216 +04 13 10.37 24.3r 13UX16 568 C~2NKX 2014 10 25.45680 00 56 41.599 +04 12 19.83 23.9r 13UX16 568 C~2NKX 2014 10 27.24490 00 56 34.296 +04 11 36.88 24.3r 13UX16 568 C~2NKX 2014 10 27.30310 00 56 34.065 +04 11 35.53 24.2r 13UX16 568 C~2NKX 2014 10 27.36937 00 56 33.780 +04 11 33.85 24.1r 13UX16 568 C~2NKX 2014 10 29.25791 00 56 26.137 +04 10 49.40 24.7r 13UX16 568 C~2NKX 2014 11 19.20738 00 55 11.087 +04 03 46.07 24.9r 13UX16 568 C~2NKX 2014 11 19.27463 00 55 10.866 +04 03 44.92 24.4r 13UX16 568 C~2NKX 2014 11 25.22391 00 54 53.831 +04 02 14.12 24.4r 13UX16 568 C~2NKX 2015 01 17.26407 00 54 22.011 +04 01 44.50 24.7r 13UX16 568 C~2NKX 2015 12 07.36957 00 58 21.607 +04 29 31.86 24.8w 13UX16 568 C~2NKX 2017 07 24.59111 01 13 14.022 +06 10 04.78 24.6w 13UX16 568 C~2NKX 2017 08 25.54688 01 12 23.092 +06 04 21.34 24.9w 13UX16 568 C~2NKX 2017 08 25.62549 01 12 22.872 +06 04 20.12 24.4w 13UX16 568 C~2NKX 2017 08 30.48798 01 12 08.931 +06 02 51.88 25.0w 13UX16 568 C~2NKX 2017 08 30.54049 01 12 08.765 +06 02 50.76 25.0w 13UX16 568 C~2NKX
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 -0.14 0.00 0.05 2 0.0001 -0.90 0.00 -0.02 0.07 3 0.0792 -1145.51 0.09 -32.19 -0.13 4 0.0793 -1147.85 0.11 -32.02 0.05 5 0.0901 -1366.86 -0.14 -34.44 0.12 6 0.0902 -1369.01 0.19 -34.58 -0.02 7 0.1749 -3392.95 0.01 -32.71 0.10 8 0.1749 -3393.37 -0.04 -32.86 -0.06 9 0.1776 -3463.75 -0.08 -32.02 0.04 10 0.1778 -3468.18 0.07 -32.06 -0.08 11 0.1862 -3683.03 -0.23 -29.47 -0.03 12 0.1862 -3683.26 -0.13 -29.47 -0.04 13 0.2456 -5145.76 -0.04 -0.16 -0.02 14 0.2458 -5148.24 0.22 -0.12 -0.08 15 0.2459 -5151.25 -0.06 0.12 0.06 16 0.2485 -5209.72 0.13 1.67 -0.08 17 0.2488 -5217.45 -0.07 2.10 0.07 18 0.2513 -5273.75 0.35 3.95 0.23 19 0.2597 -5460.89 -0.19 9.76 -0.02 20 0.2654 -5581.53 -0.20 14.15 0.12 21 0.3388 -6790.99 0.12 81.70 0.11 22 0.3417 -6823.10 -0.08 84.80 0.06 23 0.9037 3913.72 -0.05 334.37 -0.02 24 0.9721 4091.63 -0.01 296.30 -0.11 25 1.0544 3264.59 0.26 259.28 -0.17 26 1.0704 2988.19 -0.19 254.70 0.07 27 1.2232 -620.68 -0.17 271.58 -0.11 28 1.2233 -624.00 0.16 271.67 -0.12 29 1.2235 -627.72 0.08 272.01 0.12 30 1.2292 -766.15 -0.09 275.10 0.11 31 1.2341 -883.51 0.07 277.62 -0.06 32 1.2342 -887.22 0.22 277.71 -0.09 33 1.2344 -891.80 0.04 277.80 -0.13 34 1.2396 -1014.44 -0.13 280.91 -0.07 35 1.2969 -2213.74 0.06 323.80 -0.02 36 1.2971 -2217.24 -0.10 324.01 0.01 37 1.3134 -2487.45 0.08 338.70 -0.07 38 1.4586 -2938.13 -0.02 495.34 0.02 39 2.3460 1011.90 -0.09 650.76 0.01 40 3.9756 15664.08 0.07 1126.55 0.00 41 4.0631 14826.38 -0.00 1097.22 -0.05 42 4.0633 14822.87 0.05 1097.34 0.08 43 4.0766 14595.84 -0.01 1094.73 0.10 44 4.0768 14593.11 -0.11 1094.63 0.01
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.
13UX16 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.439 39.450 39.429 ecceobj 0.234 0.234 0.233 incobj 4.405 4.405 4.405 qmin 29.112 29.080 29.145 qmax 50.506 50.489 50.411 amean 39.456 39.456 39.456 amin 38.966 38.976 38.941 amax 40.040 40.024 40.034 emean 0.238 0.238 0.242 emin 0.199 0.208 0.223 emax 0.261 0.263 0.261 imean 4.989 5.003 4.414 imin 2.987 2.874 3.097 imax 8.054 7.767 5.646 excite_mean 0.255 0.255 0.254 fracstop 1.000 1.000 1.000 cjmean 2.977 2.977 2.977 libcent 0 179.7 180.0 179.9 libamp 0 100.6 96.0 104.9 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 299.5 288.5 272.5 kozaiamp 77.7 74.9 180.0