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: 15QT11 # Created Sun Dec 22 02:10:26 2024 # Orbit generated from Bernstein formalism # Fitting 42 observations of 43 # Arc: 2.35y # First observation: 2015/08/19 # Last observation: 2017/12/25 Preliminary a, adot, b, bdot, g, gdot: -0.000020 0.026638 -0.000000 0.009708 0.027168 0.000000 # Chi-squared of fit: 28.90 DOF: 78 RMS: 0.15 # Min/Max residuals: -0.43 0.35 # Exact a, adot, b, bdot, g, gdot: 1.581907E-05 2.643161E-02 5.998116E-06 9.651255E-03 2.699268E-02 -5.710766E-04 # Covariance matrix: 8.3553E-14 1.0340E-13 7.0917E-15 3.5247E-14 1.5689E-13 2.2617E-12 1.0340E-13 1.0286E-12 3.6027E-14 2.9923E-13 1.0252E-12 1.9290E-11 7.0917E-15 3.6027E-14 6.2556E-14 -3.9935E-14 3.9838E-14 1.2215E-13 3.5247E-14 2.9923E-13 -3.9935E-14 2.2031E-13 3.1178E-13 9.7618E-12 1.5689E-13 1.0252E-12 3.9838E-14 3.1178E-13 1.0974E-12 2.0090E-11 2.2617E-12 1.9290E-11 1.2215E-13 9.7618E-12 2.0090E-11 6.3314E-10 # lat0 lon0 xBary yBary zBary JD0 -18.537016 32.414949 0.930117 -0.128862 -0.384823 2457253.855106 # Heliocentric elements and errors Epoch: 2457250.5000 = 2015/08/16 Mean Anomaly: 304.77177 +/- 0.418 Argument of Peri: 15.66572 +/- 0.514 Long of Asc Node: 72.36370 +/- 0.001 Inclination: 26.59578 +/- 0.001 Eccentricity: 0.05215722 +/- 0.0008 Semi-Major Axis: 38.51261355 +/- 0.0046 Time of Perihelion: 2470642.9973 +/- 101.4 Perihelion: 36.50390253 +/- 0.0309 Aphelion: 40.52132456 +/- 0.0309 Period (y) 239.0081 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.48951014 +/- 0.0012 Ecliptic Y 18.26103354 +/- 0.0007 Ecliptic Z -11.77770511 +/- 0.0005 Ecliptic XDOT -0.00122275 +/- 0.0000 Ecliptic YDOT 0.00239424 +/- 0.0000 Ecliptic ZDOT 0.00094660 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.44048493 +/- 0.0010 Geocenter to KBO 37.04707757 +/- 0.0014 # Hcoef: 8.63
The following table shows the complete astrometric record for 15QT11. 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 (15QT11) followed by the observatory code and reference code for the source of the astrometry.
2015 08 19.354317 02 26 05.55 -05 08 09.3 24.5r 15QT11 W84 C~1l4o 2015 08 19.359282 02 26 05.55 -05 08 09.3 24.4r 15QT11 W84 C~1l4o 2015 08 19.364248 02 26 05.53 -05 08 09.6 24.7r 15QT11 W84 C~1l4o 2015 08 19.383565 02 26 05.51 -05 08 10.0 23.9i 15QT11 W84 C~1l4o 2015 08 19.392546 02 26 05.51 -05 08 10.3 24.3i 15QT11 W84 C~1l4p 2015 08 23.329178 02 26 00.81 -05 10 05.9 25.5g 15QT11 W84 C~1l4p 2015 08 23.334178 02 26 00.80 -05 10 06.0 24.2r 15QT11 W84 C~1l4p 2015 08 23.339132 02 26 00.79 -05 10 06.3 24.7r 15QT11 W84 C~1l4p 2015 08 23.344086 02 26 00.77 -05 10 06.6 24.5r 15QT11 W84 C~1l4p 2015 08 23.359016 02 26 00.76 -05 10 06.8 24.3i 15QT11 W84 C~1l4p 2015 08 23.363507 02 26 00.75 -05 10 07.1 24.2i 15QT11 W84 C~1l4p 2015 08 23.367998 02 26 00.74 -05 10 07.0 25.2i 15QT11 W84 C~1l4p 2015 08 23.372488 02 26 00.73 -05 10 07.2 24.9i 15QT11 W84 C~1l4p 2015 09 13.219016 02 25 11.71 -05 21 15.4 24.4r 15QT11 W84 C~1l4p 2015 09 13.223993 02 25 11.69 -05 21 15.6 24.8r 15QT11 W84 C~1l4p 2015 09 13.264039 02 25 11.56 -05 21 16.7 25.0g 15QT11 W84 C~1l4p 2015 09 18.204931 02 24 54.49 -05 24 01.5 24.4i 15QT11 W84 C~1l4p 2015 09 18.209433 02 24 54.47 -05 24 01.5 24.7i 15QT11 W84 C~1l4p 2015 09 18.235752 02 24 54.37 -05 24 02.5 24.2z 15QT11 W84 C~1l4p 2015 09 18.248218 02 24 54.33 -05 24 02.8 23.6z 15QT11 W84 C~1l4p 2015 09 22.249398 02 24 39.09 -05 26 15.4 24.5r 15QT11 W84 C~1l4p 2015 09 22.265741 02 24 39.07 -05 26 15.7 23.9i 15QT11 W84 C~1l4p 2015 10 16.283194 02 22 48.04 -05 38 28.2 24.2r 15QT11 W84 C~1l4p 2015 10 16.285544 02 22 48.02 -05 38 28.7 23.6i 15QT11 W84 C~1l4p 2015 10 16.289514 02 22 47.99 -05 38 28.4 23.3z 15QT11 W84 C~1l4p 2016 10 20.291906 02 27 26.110 -04 37 48.00 24.0i 15QT11 W84 C~2g4R 2016 10 25.138692 02 27 00.440 -04 39 42.90 24.1r 15QT11 W84 C~2g4R 2016 10 25.272851 02 26 59.690 -04 39 45.30 24.0i 15QT11 W84 C~2g4R 2016 11 02.088321 02 26 17.700 -04 42 25.40 24.2r 15QT11 W84 C~2g4R 2016 11 02.108248 02 26 17.580 -04 42 25.70 24.0i 15QT11 W84 C~2g4R 2016 11 09.096890 02 25 40.090 -04 44 19.00 24.2r 15QT11 W84 C~2g4R 2016 11 09.116823 02 25 40.000 -04 44 19.00 24.3i 15QT11 W84 C~2g4R 2016 11 26.086904 02 24 13.670 -04 46 40.80 25.1g 15QT11 W84 C~2g4R 2016 11 28.202722 02 24 03.700 -04 46 44.10 24.1r 15QT11 W84 C~2g4R 2016 12 01.054960 02 23 50.650 -04 46 43.40 24.0i 15QT11 W84 C~2g4R 2016 12 18.078727 02 22 43.840 -04 44 31.20 24.2r 15QT11 W84 C~2g4R 2016 12 18.098627 02 22 43.760 -04 44 30.80 23.9i 15QT11 W84 C~2g4R 2016 12 25.099886 02 22 22.910 -04 42 32.80 23.9i 15QT11 W84 C~2g4R 2016 12 30.093447 02 22 10.720 -04 40 47.10 24.3r 15QT11 W84 C~2g4R 2016 12 30.125029 02 22 10.660 -04 40 46.30 23.9i 15QT11 W84 C~2g4R 2017 01 20.081468 02 21 46.710 -04 30 18.30 24.1r 15QT11 W84 C~2g4R 2017 12 25.065580 02 27 22.310 -03 40 34.50 24.5r 15QT11 W84 C~2g4R 2017 12 25.078033 02 27 22.260 -03 40 34.20 24.3g 15QT11 W84 C~2g4R
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 -0.07 2 0.0000 0.00 0.05 0.00 0.04 3 0.0000 -0.38 -0.20 -0.18 -0.04 4 0.0001 -0.80 -0.14 -0.46 0.10 5 0.0001 -0.90 -0.01 -0.74 0.01 6 0.0109 -105.98 0.09 -85.90 -0.03 7 0.0109 -106.15 0.07 -85.94 0.03 8 0.0109 -106.39 -0.02 -86.18 -0.09 9 0.0109 -106.78 -0.25 -86.36 -0.17 10 0.0110 -106.98 0.00 -86.50 -0.00 11 0.0110 -107.23 -0.10 -86.73 -0.14 12 0.0110 -107.33 -0.07 -86.58 0.10 13 0.0110 -107.54 -0.14 -86.72 0.05 14 0.0681 -1022.09 0.12 -469.12 0.03 15 0.0681 -1022.44 0.06 -469.20 0.01 16 0.0682 -1024.64 0.19 -469.59 0.21 17 0.0817 -1320.18 0.28 -538.92 -0.22 18 0.0817 -1320.46 0.28 -538.82 -0.06 19 0.0818 -1322.21 0.21 -539.25 -0.17 20 0.0818 -1322.87 0.35 -539.34 -0.09 21 0.0928 -1581.82 -0.43 -587.58 0.01 22 0.0928 -1582.20 0.29 -587.77 0.01 23 0.1586 -3389.94 0.04 -720.27 0.19 24 0.1586 -3390.39 -0.21 -720.65 -0.18 25 0.1586 -3390.71 -0.20 -720.21 0.25 26 1.1716 1747.97 -0.18 1308.33 0.05 27 1.1849 1347.89 -0.11 1329.71 -0.15 28 1.1853 1336.53 ( -0.21) 1331.24 ( 0.54) 29 1.2067 691.54 0.03 1392.29 0.01 30 1.2067 689.75 -0.10 1392.61 0.12 31 1.2259 123.91 -0.20 1474.87 0.04 32 1.2259 122.64 0.14 1475.33 0.21 33 1.2724 -1140.28 0.08 1776.41 -0.04 34 1.2782 -1281.74 0.19 1823.45 -0.04 35 1.2860 -1465.23 0.09 1889.74 -0.06 36 1.3326 -2361.51 -0.08 2350.08 -0.14 37 1.3326 -2362.50 -0.22 2350.86 0.03 38 1.3518 -2616.51 0.16 2566.76 0.19 39 1.3655 -2752.72 -0.15 2727.57 0.07 40 1.3656 -2753.30 0.04 2728.63 0.08 41 1.4229 -2879.89 -0.09 3440.64 0.09 42 2.3510 2854.10 0.18 4560.48 -0.21 43 2.3511 2853.50 0.02 4561.02 -0.06
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.
15QT11 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.878 38.885 38.870 ecceobj 0.055 0.055 0.054 incobj 26.566 26.568 26.565 qmin 35.806 35.760 35.858 qmax 41.617 41.790 41.534 amean 38.631 38.639 38.623 amin 38.348 38.348 38.338 amax 38.924 38.965 38.917 emean 0.055 0.055 0.054 emin 0.042 0.042 0.041 emax 0.070 0.073 0.068 imean 24.906 24.904 24.907 imin 24.262 24.254 24.264 imax 25.531 25.546 25.522 excite_mean 0.425 0.425 0.425 fracstop 1.000 1.000 1.000 cjmean 2.831 2.831 2.831 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 175.6 174.0 177.7 kozaiamp 180.0 179.9 180.0