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: 13UQ15 # Created Sun Dec 22 02:09:47 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 63 observations of 63 # Arc: 11.91y # First observation: 2006/10/13 # Last observation: 2018/09/11 # Chi-squared of fit: 59.91 DOF: 120 RMS: 0.17 # Min/Max residuals: -0.36 0.65 # Exact a, adot, b, bdot, g, gdot: 1.059118E-05 1.652611E-02 -9.019470E-06 -8.543814E-03 2.156282E-02 5.930059E-04 # Covariance matrix: 2.4797E-11 -5.4084E-12 -1.1875E-11 2.6888E-12 -3.4258E-12 -1.7109E-11 -5.4084E-12 1.1886E-12 2.6286E-12 -5.9520E-13 7.5949E-13 3.7872E-12 -1.1875E-11 2.6286E-12 6.5799E-12 -1.4061E-12 1.7050E-12 8.4420E-12 2.6888E-12 -5.9520E-13 -1.4061E-12 3.0946E-13 -3.8630E-13 -1.9116E-12 -3.4258E-12 7.5949E-13 1.7050E-12 -3.8630E-13 5.8791E-13 2.4581E-12 -1.7109E-11 3.7872E-12 8.4420E-12 -1.9116E-12 2.4581E-12 1.2163E-11 # lat0 lon0 xBary yBary zBary JD0 0.294853 8.328922 -0.202726 0.005159 -0.980903 2454021.936044 # Heliocentric elements and errors Epoch: 2454022.5000 = 2006/10/14 Mean Anomaly: 159.07775 +/- 0.082 Argument of Peri: 16.13252 +/- 0.081 Long of Asc Node: 189.12678 +/- 0.000 Inclination: 27.40466 +/- 0.000 Eccentricity: 0.11569258 +/- 0.0000 Semi-Major Axis: 42.67958554 +/- 0.0021 Time of Perihelion: 2409020.1010 +/- 23.3 Perihelion: 37.74187414 +/- 0.0026 Aphelion: 47.61729694 +/- 0.0030 Period (y) 278.8294 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.82474676 +/- 0.0016 Ecliptic Y 7.05714844 +/- 0.0005 Ecliptic Z 0.23823744 +/- 0.0001 Ecliptic XDOT -0.00021904 +/- 0.0000 Ecliptic YDOT 0.00208337 +/- 0.0000 Ecliptic ZDOT -0.00108447 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.35414209 +/- 0.0016 Geocenter to KBO 46.37614217 +/- 0.0016 # Hcoef: 6.17
The following table shows the complete astrometric record for 13UQ15. 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 (13UQ15) followed by the observatory code and reference code for the source of the astrometry.
2006 10 13.43529 00 30 08.08 +03 34 27.1 23.1r 13UQ15 568 C~4Nl8 2006 10 13.47454 00 30 07.94 +03 34 25.9 23.2r 13UQ15 568 C~4Nl8 2006 10 13.51674 00 30 07.74 +03 34 24.5 23.2r 13UQ15 568 C~4Nl8 2013 08 02.51243 01 03 29.619 +03 32 02.56 23.3r 13UQ15 568 C~2NKU 2013 08 02.55517 01 03 29.563 +03 32 01.87 22.9r 13UQ15 568 C~2NKU 2013 08 30.42790 01 02 31.927 +03 22 09.11 22.8r 13UQ15 568 C~2NKU 2013 08 31.43205 01 02 28.990 +03 21 43.03 23.1r 13UQ15 568 C~2NKU 2013 08 31.47509 01 02 28.845 +03 21 41.95 23.0r 13UQ15 568 C~2NKU 2013 10 06.38784 01 00 18.788 +03 04 16.05 22.1r 13UQ15 568 C~2Gdp 2013 10 06.39317 01 00 18.771 +03 04 15.93 22.9r 13UQ15 568 C~2NKU 2013 10 06.45289 01 00 18.527 +03 04 14.22 22.5r 13UQ15 568 C~2NKU 2013 10 06.46664 01 00 18.465 +03 04 13.74 22.6r 13UQ15 568 C~2NKU 2013 10 06.47596 01 00 18.426 +03 04 13.44 22.7r 13UQ15 568 C~2Gdq 2013 10 09.51669 01 00 06.222 +03 02 41.65 22.8r 13UQ15 568 C~2NKU 2013 10 31.23488 00 58 41.648 +02 52 23.00 23.3r 13UQ15 568 C~2Gdq 2013 10 31.27795 00 58 41.492 +02 52 21.88 22.7r 13UQ15 568 C~2Gdq 2013 10 31.32073 00 58 41.333 +02 52 20.80 22.9r 13UQ15 568 C~2Gdq 2013 11 01.26121 00 58 37.908 +02 51 56.23 22.8r 13UQ15 568 C~2NKU 2013 11 01.38296 00 58 37.458 +02 51 53.10 22.9r 13UQ15 568 C~2NKU 2013 11 05.38795 00 58 23.196 +02 50 11.58 23.2r 13UQ15 568 C~2NKU 2013 11 22.13909 00 57 31.278 +02 44 06.68 22.9i 13UQ15 W84 C~4yRJ 2014 08 22.56038 01 07 05.471 +03 20 22.77 23.3r 13UQ15 568 C~2NKU 2014 08 23.51871 01 07 03.163 +03 20 00.11 24.6u 13UQ15 568 C~2NKU 2014 08 23.52297 01 07 03.153 +03 19 59.92 24.2u 13UQ15 568 C~2NKU 2014 08 23.52723 01 07 03.139 +03 19 59.87 24.4u 13UQ15 568 C~2NKU 2014 08 23.53149 01 07 03.122 +03 19 59.85 24.2u 13UQ15 568 C~2NKU 2014 08 23.53576 01 07 03.132 +03 19 59.78 24.5u 13UQ15 568 C~2NKU 2014 08 28.42232 01 06 50.472 +03 17 59.83 23.0r 13UQ15 568 C~2NKU 2014 10 02.29411 01 04 49.441 +03 01 21.60 23.1g 13UQ15 W84 C~4yRJ 2014 10 02.29548 01 04 49.444 +03 01 21.61 22.9r 13UQ15 W84 C~4yRJ 2014 10 23.29166 01 03 25.767 +02 51 01.60 23.0r 13UQ15 568 C~2NKU 2014 10 27.25832 01 03 10.439 +02 49 11.76 23.1r 13UQ15 568 C~2NKU 2014 11 14.05174 01 02 07.629 +02 41 52.54 23.8g 13UQ15 W84 C~4yRJ 2014 11 14.07483 01 02 07.557 +02 41 52.10 23.5r 13UQ15 W84 C~4yRJ 2014 11 14.07621 01 02 07.549 +02 41 52.14 23.0i 13UQ15 W84 C~4yRJ 2014 11 25.22838 01 01 35.442 +02 38 14.04 22.8r 13UQ15 568 C~2NKU 2015 01 17.29288 01 01 02.121 +02 34 34.86 23.4r 13UQ15 568 C~2NKU 2015 10 17.16823 01 08 03.757 +02 48 53.46 23.4r 13UQ15 W84 C~4yRJ 2015 11 07.12015 01 06 43.70 +02 39 29.2 22.4r 13UQ15 W84 C~3clS 2016 08 16.392106 01 15 39.16 +03 12 02.9 23.0i 13UQ15 W84 C~352E 2016 08 16.39263 01 15 39.164 +03 12 02.71 22.9i 13UQ15 W84 C~4yRJ 2016 08 26.331829 01 15 17.26 +03 08 11.1 22.6r 13UQ15 W84 C~352E 2016 08 30.35818 01 15 06.668 +03 06 28.99 24.0g 13UQ15 W84 C~4yRJ 2016 10 29.192593 01 11 25.86 +02 37 42.6 22.9i 13UQ15 W84 C~352E 2016 10 29.19312 01 11 25.864 +02 37 42.62 23.3i 13UQ15 W84 C~4yRJ 2016 10 29.19449 01 11 25.858 +02 37 42.56 23.2r 13UQ15 W84 C~4yRJ 2016 10 29.19587 01 11 25.853 +02 37 42.49 23.6g 13UQ15 W84 C~4yRJ 2016 11 05.17688 01 10 59.827 +02 34 44.62 22.7r 13UQ15 W84 C~4yRJ 2016 11 05.17825 01 10 59.818 +02 34 44.66 22.6i 13UQ15 W84 C~4yRJ 2016 11 05.17962 01 10 59.811 +02 34 44.64 23.2g 13UQ15 W84 C~4yRJ 2017 08 22.412326 01 19 37.62 +03 04 32.7 22.6i 13UQ15 W84 C~352E 2017 08 22.41286 01 19 37.617 +03 04 32.70 22.5i 13UQ15 W84 C~4yRJ 2017 08 27.377153 01 19 25.97 +03 02 31.5 23.3r 13UQ15 W84 C~352E 2017 08 27.37768 01 19 25.974 +03 02 31.54 23.3r 13UQ15 W84 C~4yRJ 2017 08 27.396713 01 19 25.92 +03 02 31.0 23.3g 13UQ15 W84 C~352E 2017 08 27.39723 01 19 25.919 +03 02 31.08 23.2g 13UQ15 W84 C~4yRJ 2017 09 18.304248 01 18 18.66 +02 52 26.3 23.2g 13UQ15 W84 C~352E 2017 09 18.30477 01 18 18.664 +02 52 26.29 23.0g 13UQ15 W84 C~4yRJ 2017 09 24.256979 01 17 56.89 +02 49 29.2 22.8z 13UQ15 W84 C~352E 2017 09 24.25751 01 17 56.892 +02 49 29.20 22.8z 13UQ15 W84 C~4yRJ 2018 09 11.33623 01 22 54.778 +02 50 33.36 23.0i 13UQ15 W84 C~4yRJ 2018 09 11.35443 01 22 54.713 +02 50 33.05 23.1r 13UQ15 W84 C~4yRJ 2018 09 11.35579 01 22 54.731 +02 50 32.93 23.4g 13UQ15 W84 C~4yRJ
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 0.07 0.00 0.65 2 0.0001 0.00 0.30 0.00 0.64 3 0.0002 0.00 -0.20 0.00 0.52 4 6.8038 0.00 -0.02 0.00 -0.20 5 6.8039 0.00 -0.09 0.00 -0.21 6 6.8802 0.00 -0.02 0.00 -0.26 7 6.8829 0.00 0.08 0.00 -0.24 8 6.8831 0.00 -0.14 0.00 -0.20 9 6.9814 0.00 -0.04 0.00 -0.30 10 6.9814 0.00 0.03 0.00 -0.26 11 6.9816 0.00 0.03 0.00 -0.16 12 6.9816 0.00 -0.06 0.00 -0.23 13 6.9816 0.00 -0.07 0.00 -0.25 14 6.9900 0.00 -0.16 0.00 -0.36 15 7.0494 0.00 -0.14 0.00 -0.23 16 7.0495 0.00 -0.07 0.00 -0.22 17 7.0497 0.00 -0.06 0.00 -0.18 18 7.0522 0.00 -0.02 0.00 -0.21 19 7.0526 0.00 -0.01 0.00 -0.18 20 7.0635 0.00 -0.10 0.00 -0.17 21 7.1094 0.00 -0.02 0.00 -0.26 22 7.8580 0.00 -0.04 0.00 -0.07 23 7.8606 0.00 0.03 0.00 -0.09 24 7.8606 0.00 0.04 0.00 -0.18 25 7.8606 0.00 -0.01 0.00 -0.13 26 7.8606 0.00 -0.10 0.00 -0.05 27 7.8606 0.00 0.21 0.00 -0.01 28 7.8740 0.00 0.01 0.00 -0.06 29 7.9695 0.00 -0.14 0.00 -0.13 30 7.9695 0.00 -0.01 0.00 -0.08 31 8.0270 0.00 0.05 0.00 0.04 32 8.0378 0.00 0.03 0.00 -0.04 33 8.0866 0.00 0.06 0.00 -0.15 34 8.0866 0.00 0.10 0.00 -0.09 35 8.0866 0.00 0.05 0.00 -0.02 36 8.1172 0.00 0.04 0.00 -0.09 37 8.2624 0.00 0.00 0.00 -0.00 38 9.0095 0.00 0.19 0.00 -0.17 39 9.0669 0.00 -0.16 0.00 0.09 40 9.8425 0.00 -0.03 0.00 0.21 41 9.8425 0.00 0.05 0.00 0.03 42 9.8697 0.00 0.14 0.00 -0.17 43 9.8807 0.00 0.10 0.00 0.02 44 10.0445 0.00 -0.01 0.00 0.09 45 10.0445 0.00 0.08 0.00 0.12 46 10.0445 0.00 0.07 0.00 0.10 47 10.0445 0.00 0.07 0.00 0.07 48 10.0636 0.00 0.10 0.00 0.08 49 10.0636 0.00 0.04 0.00 0.15 50 10.0636 0.00 0.01 0.00 0.17 51 10.8583 0.00 -0.09 0.00 0.30 52 10.8583 0.00 -0.12 0.00 0.31 53 10.8718 0.00 -0.03 0.00 0.12 54 10.8718 0.00 0.05 0.00 0.18 55 10.8719 0.00 -0.03 0.00 0.12 56 10.8719 0.00 -0.03 0.00 0.21 57 10.9319 0.00 -0.01 0.00 0.19 58 10.9319 0.00 0.08 0.00 0.20 59 10.9482 0.00 0.13 0.00 0.30 60 10.9482 0.00 0.19 0.00 0.31 61 11.9121 0.00 -0.12 0.00 0.08 62 11.9122 0.00 -0.20 0.00 0.28 63 11.9122 0.00 0.14 0.00 0.20
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.
13UQ15 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.015 43.015 43.015 ecceobj 0.107 0.107 0.107 incobj 27.253 27.253 27.253 qmin 36.852 36.892 36.884 qmax 49.107 49.014 49.008 amean 42.818 42.818 42.818 amin 42.470 42.474 42.474 amax 43.205 43.188 43.183 emean 0.120 0.120 0.120 emin 0.106 0.106 0.105 emax 0.137 0.135 0.135 imean 27.237 27.237 27.237 imin 26.838 26.834 26.833 imax 27.635 27.634 27.635 excite_mean 0.473 0.473 0.473 fracstop 1.000 1.000 1.000 cjmean 2.809 2.809 2.809 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 181.0 180.9 180.9 kozaiamp 179.9 180.0 180.0