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: 15GC58 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 36 observations of 36 # Arc: 2.34y # First observation: 2015/02/17 # Last observation: 2017/06/22 Preliminary a, adot, b, bdot, g, gdot: -0.000093 0.021273 0.000003 -0.000351 0.022653 0.000000 # Chi-squared of fit: 6.46 DOF: 66 RMS: 0.07 # Min/Max residuals: -0.19 0.19 # Exact a, adot, b, bdot, g, gdot: 1.508837E-05 2.122244E-02 -3.306238E-07 -3.513033E-04 2.270290E-02 8.552545E-04 # Covariance matrix: 1.5773E-13 6.2361E-15 -9.1891E-16 -9.5234E-16 1.2550E-13 2.3318E-12 6.2361E-15 2.5596E-13 -2.9383E-16 -4.5609E-15 1.7312E-13 7.8030E-12 -9.1891E-16 -2.9383E-16 8.3509E-14 -5.9566E-14 -1.2732E-15 -2.8927E-15 -9.5234E-16 -4.5609E-15 -5.9566E-14 8.2777E-14 -3.6104E-15 -2.1532E-13 1.2550E-13 1.7312E-13 -1.2732E-15 -3.6104E-15 2.4546E-13 7.0293E-12 2.3318E-12 7.8030E-12 -2.8927E-15 -2.1532E-13 7.0293E-12 3.5939E-10 # lat0 lon0 xBary yBary zBary JD0 2.826139 -157.280727 0.801275 0.028410 -0.572672 2457071.081158 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 104.99479 +/- 0.668 Argument of Peri: 0.05778 +/- 0.662 Long of Asc Node: 93.82108 +/- 0.014 Inclination: 2.93030 +/- 0.000 Eccentricity: 0.02542773 +/- 0.0008 Semi-Major Axis: 44.31167353 +/- 0.0033 Time of Perihelion: 2425647.9878 +/- 200.0 Perihelion: 43.18492808 +/- 0.0371 Aphelion: 45.43841899 +/- 0.0371 Period (y) 294.9752 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.42124020 +/- 0.0009 Ecliptic Y -16.47343304 +/- 0.0004 Ecliptic Z 2.17175568 +/- 0.0000 Ecliptic XDOT 0.00088785 +/- 0.0000 Ecliptic YDOT -0.00240690 +/- 0.0000 Ecliptic ZDOT -0.00003714 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.62969481 +/- 0.0008 Geocenter to KBO 44.04724086 +/- 0.0010 # Hcoef: 7.68
The following table shows the complete astrometric record for 15GC58. 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 (15GC58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58038 13 28 16.728 -06 12 42.53 24.2r 15GC58 568 C~2nvY 2015 02 17.62132 13 28 16.638 -06 12 42.03 24.1r 15GC58 568 C~2nvY 2015 02 20.61441 13 28 10.053 -06 11 53.17 24.1r 15GC58 568 C~2nvY 2015 03 18.55881 13 26 49.298 -06 02 49.58 24.3r 15GC58 568 C~2nvY 2015 03 18.59998 13 26 49.141 -06 02 48.52 24.3r 15GC58 568 C~2nvY 2015 03 20.56294 13 26 41.642 -06 02 00.95 24.0r 15GC58 568 C~2nvY 2015 04 11.49722 13 25 10.899 -05 52 44.32 24.4r 15GC58 568 C~2nvY 2015 04 13.36151 13 25 02.908 -05 51 56.64 24.5r 15GC58 568 C~2nvY 2015 04 13.40245 13 25 02.732 -05 51 55.63 24.3r 15GC58 568 C~2nvY 2015 04 13.48799 13 25 02.347 -05 51 53.72 23.2r 15GC58 568 C~2nvY 2015 04 13.50003 13 25 02.293 -05 51 53.28 24.1r 15GC58 568 C~2nvY 2015 04 13.50498 13 25 02.286 -05 51 53.07 24.2r 15GC58 568 C~2nvY 2015 04 19.40228 13 24 36.973 -05 49 24.82 24.7r 15GC58 568 C~2nvY 2015 04 19.51922 13 24 36.471 -05 49 22.07 23.9r 15GC58 568 C~2nvY 2015 05 18.27664 13 22 43.557 -05 38 55.31 24.2r 15GC58 568 C~2nvY 2015 05 18.32493 13 22 43.390 -05 38 54.48 24.1r 15GC58 568 C~2nvY 2015 06 20.27498 13 21 24.559 -05 32 54.75 24.2r 15GC58 568 C~2nvY 2015 06 20.31583 13 21 24.504 -05 32 54.58 24.3r 15GC58 568 C~2nvY 2015 06 22.31959 13 21 22.182 -05 32 48.74 24.2r 15GC58 568 C~2nvY 2015 07 14.27191 13 21 17.673 -05 33 54.55 23.8r 15GC58 568 C~2nvY 2016 02 04.54302 13 33 08.029 -06 43 25.80 24.4w 15GC58 568 C~2nvY 2016 02 04.56329 13 33 08.008 -06 43 25.72 24.5w 15GC58 568 C~2nvY 2016 02 10.53099 13 33 00.915 -06 42 22.07 24.4w 15GC58 568 C~2nvY 2016 03 11.53218 13 31 45.443 -06 33 31.08 24.7w 15GC58 568 C~2nvY 2016 04 03.42104 13 30 16.266 -06 24 14.95 24.4w 15GC58 568 C~2nvY 2016 04 09.40077 13 29 50.801 -06 21 42.85 24.2w 15GC58 568 C~2nvY 2016 05 01.36453 13 28 17.701 -06 12 48.10 24.0w 15GC58 568 C~2nvY 2016 05 02.30717 13 28 13.895 -06 12 27.06 23.9w 15GC58 568 C~2nvY 2016 05 06.31695 13 27 57.924 -06 10 59.31 24.3w 15GC58 568 C~2nvY 2016 05 28.27195 13 26 42.311 -06 04 26.16 24.1w 15GC58 568 C~2nvY 2016 06 27.27271 13 25 46.681 -06 00 47.03 24.7w 15GC58 568 C~2nvY 2016 07 06.30847 13 25 43.315 -06 01 05.14 24.7w 15GC58 568 C~2nvY 2017 02 24.63168 13 37 03.799 -07 06 33.83 15GC58 568 C~2nvY 2017 03 29.44523 13 35 12.424 -06 54 38.18 24.6w 15GC58 568 C~2nvY 2017 06 22.26639 13 30 21.989 -06 28 53.80 24.5w 15GC58 568 C~2nvY 2017 06 22.27110 13 30 21.989 -06 28 53.71 23.5w 15GC58 568 C~2nvY
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 -0.06 0.00 0.02 2 0.0001 -1.43 -0.03 -0.03 -0.12 3 0.0083 -110.73 0.02 9.13 -0.02 4 0.0793 -1430.78 -0.03 69.34 -0.06 5 0.0795 -1433.35 -0.04 69.46 0.01 6 0.0848 -1554.88 -0.02 72.30 -0.14 7 0.1449 -3018.74 -0.04 88.39 -0.04 8 0.1500 -3147.18 0.03 88.51 0.19 9 0.1501 -3150.00 0.09 88.47 0.18 10 0.1503 -3156.04 0.04 88.12 -0.13 11 0.1504 -3156.95 -0.03 88.23 -0.01 12 0.1504 -3157.13 0.14 88.39 0.15 13 0.1665 -3563.00 -0.12 86.12 -0.00 14 0.1668 -3570.98 0.03 85.90 -0.11 15 0.2456 -5369.33 -0.04 42.65 0.08 16 0.2457 -5371.95 -0.02 42.50 0.06 17 0.3359 -6599.21 0.02 -60.98 -0.02 18 0.3360 -6600.04 -0.01 -61.12 0.00 19 0.3415 -6634.42 0.05 -68.60 0.03 20 0.4016 -6672.47 -0.02 -154.77 -0.03 21 0.9636 4716.16 0.09 -116.27 0.09 22 0.9637 4715.84 0.12 -116.31 -0.01 23 0.9800 4594.13 -0.12 -95.86 0.12 24 1.0622 3352.73 -0.04 -14.89 0.00 25 1.1248 1912.00 0.01 13.34 -0.05 26 1.1412 1503.03 0.10 14.94 -0.09 27 1.2013 15.54 -0.19 0.18 -0.02 28 1.2039 -44.97 0.03 -1.21 -0.08 29 1.2149 -298.71 0.03 -7.58 -0.05 30 1.2750 -1491.91 0.02 -58.94 -0.04 31 1.3571 -2343.99 0.07 -162.36 0.11 32 1.3819 -2383.94 -0.05 -197.77 -0.01 33 2.0207 8495.36 0.01 -123.44 -0.11 34 2.1105 6687.93 -0.02 -63.11 0.02 35 2.3427 2094.00 -0.03 -214.53 -0.01 36 2.3428 2093.96 0.02 -214.45 0.10
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.
15GC58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.903 43.915 43.892 ecceobj 0.028 0.030 0.027 incobj 2.930 2.930 2.930 qmin 41.878 41.827 41.923 qmax 46.653 46.734 46.569 amean 44.175 44.186 44.165 amin 43.834 43.841 43.817 amax 44.529 44.540 44.516 emean 0.033 0.034 0.032 emin 0.017 0.018 0.016 emax 0.048 0.049 0.047 imean 1.287 1.288 1.286 imin 0.626 0.628 0.624 imax 1.859 1.862 1.859 excite_mean 0.040 0.041 0.039 fracstop 1.000 1.000 1.000 cjmean 3.102 3.102 3.102 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 173.2 173.5 173.2 kozaiamp 180.0 179.9 180.0