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: 15GE58 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 30 observations of 30 # Arc: 2.34y # First observation: 2015/02/17 # Last observation: 2017/06/22 Preliminary a, adot, b, bdot, g, gdot: -0.000101 0.022726 0.000004 -0.000782 0.023573 0.000000 # Chi-squared of fit: 7.89 DOF: 54 RMS: 0.09 # Min/Max residuals: -0.23 0.27 # Exact a, adot, b, bdot, g, gdot: 1.626316E-05 2.265104E-02 -4.395451E-07 -7.800292E-04 2.363622E-02 -2.604504E-04 # Covariance matrix: 1.9127E-13 2.9892E-15 -6.0514E-16 -3.5907E-15 1.5213E-13 3.1723E-12 2.9892E-15 3.3061E-13 1.0040E-15 -1.3101E-14 2.2909E-13 1.0247E-11 -6.0514E-16 1.0040E-15 1.0766E-13 -8.3980E-14 -1.4277E-16 7.0715E-14 -3.5907E-15 -1.3101E-14 -8.3980E-14 1.2010E-13 -1.2030E-14 -6.7391E-13 1.5213E-13 2.2909E-13 -1.4277E-16 -1.2030E-14 3.1840E-13 9.8488E-12 3.1723E-12 1.0247E-11 7.0715E-14 -6.7391E-13 9.8488E-12 5.1918E-10 # lat0 lon0 xBary yBary zBary JD0 3.023631 -157.154871 0.802533 0.030291 -0.570812 2457071.081158 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 275.38477 +/- 0.092 Argument of Peri: 210.55998 +/- 0.159 Long of Asc Node: 78.99184 +/- 0.012 Inclination: 3.54615 +/- 0.000 Eccentricity: 0.02813270 +/- 0.0010 Semi-Major Axis: 42.96852213 +/- 0.0034 Time of Perihelion: 2481251.2685 +/- 26.2 Perihelion: 41.75970166 +/- 0.0432 Aphelion: 44.17734261 +/- 0.0433 Period (y) 281.6656 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.77605004 +/- 0.0009 Ecliptic Y -15.88522043 +/- 0.0004 Ecliptic Z 2.23163596 +/- 0.0001 Ecliptic XDOT 0.00103836 +/- 0.0000 Ecliptic YDOT -0.00241365 +/- 0.0000 Ecliptic ZDOT -0.00009173 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.88886317 +/- 0.0009 Geocenter to KBO 42.30795560 +/- 0.0010 # Hcoef: 8.41
The following table shows the complete astrometric record for 15GE58. 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 (15GE58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58038 13 29 02.513 -06 04 28.60 15GE58 568 C~2nvZ 2015 02 17.62132 13 29 02.445 -06 04 28.05 24.8r 15GE58 568 C~2nvZ 2015 03 18.55881 13 27 32.234 -05 54 17.37 24.7r 15GE58 568 C~2nvZ 2015 03 18.59998 13 27 32.074 -05 54 16.26 25.1r 15GE58 568 C~2nvZ 2015 03 20.56294 13 27 24.290 -05 53 27.34 24.0r 15GE58 568 C~2nvZ 2015 04 11.49722 13 25 50.171 -05 43 54.20 24.5r 15GE58 568 C~2nvZ 2015 04 13.36151 13 25 41.853 -05 43 05.30 24.6r 15GE58 568 C~2nvZ 2015 04 13.40245 13 25 41.670 -05 43 04.14 24.6r 15GE58 568 C~2nvZ 2015 04 13.48799 13 25 41.291 -05 43 02.10 24.5r 15GE58 568 C~2nvZ 2015 04 13.50003 13 25 41.231 -05 43 01.64 24.3r 15GE58 568 C~2nvZ 2015 04 13.50498 13 25 41.209 -05 43 01.45 24.6r 15GE58 568 C~2nvZ 2015 04 19.40228 13 25 14.933 -05 40 29.33 24.7r 15GE58 568 C~2nvZ 2015 06 20.27498 13 21 54.857 -05 23 46.51 24.5r 15GE58 568 C~2nvZ 2015 06 20.31583 13 21 54.801 -05 23 46.43 24.8r 15GE58 568 C~2nvZ 2015 06 22.31959 13 21 52.387 -05 23 41.12 25.0r 15GE58 568 C~2nvZ 2015 07 20.26475 13 21 53.523 -05 26 06.32 25.0r 15GE58 568 C~2nvZ 2016 02 04.56329 13 34 10.664 -06 38 26.05 25.3w 15GE58 568 C~2nvZ 2016 02 10.55122 13 34 03.488 -06 37 20.99 24.9w 15GE58 568 C~2nvZ 2016 02 10.60087 13 34 03.405 -06 37 20.52 25.2w 15GE58 568 C~2nvZ 2016 03 11.53218 13 32 45.844 -06 28 15.69 25.0w 15GE58 568 C~2nvZ 2016 04 03.43317 13 31 13.330 -06 18 42.61 24.8w 15GE58 568 C~2nvZ 2016 04 09.41297 13 30 46.869 -06 16 06.09 24.7w 15GE58 568 C~2nvZ 2016 05 02.30717 13 29 06.126 -06 06 35.22 24.9w 15GE58 568 C~2nvZ 2016 05 06.31695 13 28 49.479 -06 05 05.60 24.9w 15GE58 568 C~2nvZ 2016 05 28.27195 13 27 30.700 -05 58 24.99 25.1w 15GE58 568 C~2nvZ 2016 06 04.35340 13 27 11.048 -05 56 56.05 24.8w 15GE58 568 C~2nvZ 2016 06 27.27271 13 26 32.618 -05 54 50.41 24.9w 15GE58 568 C~2nvZ 2016 07 06.30847 13 26 29.074 -05 55 13.52 25.0w 15GE58 568 C~2nvZ 2017 03 29.44523 13 36 27.784 -06 52 25.90 24.8w 15GE58 568 C~2nvZ 2017 06 22.27110 13 31 24.886 -06 26 07.12 25.1w 15GE58 568 C~2nvZ
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 -0.23 0.00 -0.02 2 0.0001 -1.15 0.13 0.14 0.01 3 0.0793 -1477.31 0.03 71.19 0.02 4 0.0795 -1479.94 0.06 71.34 0.12 5 0.0848 -1605.95 -0.10 73.91 -0.23 6 0.1449 -3123.06 0.06 87.25 -0.04 7 0.1500 -3256.53 -0.09 86.75 -0.04 8 0.1501 -3259.49 -0.09 86.82 0.06 9 0.1503 -3265.50 0.12 86.62 -0.06 10 0.1504 -3266.51 -0.01 86.71 0.04 11 0.1504 -3266.88 -0.02 86.77 0.10 12 0.1665 -3687.65 0.01 82.92 -0.13 13 0.3359 -6835.78 0.03 -93.71 0.02 14 0.3360 -6836.59 0.04 -93.95 -0.02 15 0.3415 -6872.07 0.02 -102.42 0.27 16 0.4180 -6802.30 0.01 -230.99 -0.11 17 0.9637 5022.12 0.00 -206.64 -0.03 18 0.9801 4898.72 0.05 -185.27 0.10 19 0.9802 4897.40 0.01 -185.29 -0.06 20 1.0622 3621.75 0.10 -102.22 -0.06 21 1.1249 2128.27 0.05 -75.80 -0.02 22 1.1412 1703.79 0.06 -75.35 -0.10 23 1.2039 96.77 -0.01 -97.84 0.18 24 1.2149 -167.07 -0.15 -106.07 -0.11 25 1.2750 -1407.14 0.03 -167.39 0.07 26 1.2944 -1712.46 -0.11 -193.03 -0.04 27 1.3571 -2291.72 0.04 -288.19 0.14 28 1.3819 -2332.31 -0.01 -329.22 0.04 29 2.1105 7232.26 -0.07 -241.20 -0.02 30 2.3428 2451.94 0.04 -425.87 -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.
15GE58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.580 42.588 42.572 ecceobj 0.031 0.031 0.031 incobj 3.547 3.547 3.548 qmin 40.811 40.815 40.837 qmax 45.081 45.110 45.018 amean 42.847 42.855 42.839 amin 42.518 42.528 42.513 amax 43.188 43.193 43.176 emean 0.027 0.027 0.027 emin 0.003 0.004 0.003 emax 0.044 0.044 0.043 imean 1.552 1.553 1.551 imin 0.546 0.547 0.542 imax 2.479 2.476 2.481 excite_mean 0.040 0.040 0.040 fracstop 1.000 1.000 1.000 cjmean 3.086 3.086 3.086 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 181.0 181.5 180.6 kozaiamp 180.0 180.0 180.0