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: 15GX58 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 41 observations of 41 # Arc: 2.35y # First observation: 2015/02/17 # Last observation: 2017/06/24 Preliminary a, adot, b, bdot, g, gdot: -0.000126 0.024617 0.000006 -0.001032 0.024433 0.000000 # Chi-squared of fit: 13.16 DOF: 76 RMS: 0.10 # Min/Max residuals: -0.34 0.35 # Exact a, adot, b, bdot, g, gdot: 1.587466E-05 2.447579E-02 -5.284010E-07 -1.025207E-03 2.445909E-02 -7.617078E-04 # Covariance matrix: 1.5480E-13 1.0221E-14 -8.9362E-16 -2.9630E-15 1.2676E-13 1.9900E-12 1.0221E-14 2.5239E-13 4.5267E-16 -1.0839E-14 1.7111E-13 6.6622E-12 -8.9362E-16 4.5267E-16 7.5935E-14 -5.8408E-14 -7.4663E-16 3.3246E-14 -2.9630E-15 -1.0839E-14 -5.8408E-14 8.4835E-14 -9.3934E-15 -4.4971E-13 1.2676E-13 1.7111E-13 -7.4663E-16 -9.3934E-15 2.3783E-13 5.9627E-12 1.9900E-12 6.6622E-12 3.3246E-14 -4.4971E-13 5.9627E-12 2.7403E-10 # lat0 lon0 xBary yBary zBary JD0 3.176990 -154.955816 0.823719 0.030101 -0.539800 2457071.097458 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 321.98489 +/- 0.331 Argument of Peri: 170.39722 +/- 0.405 Long of Asc Node: 77.12429 +/- 0.008 Inclination: 3.91148 +/- 0.000 Eccentricity: 0.07459434 +/- 0.0005 Semi-Major Axis: 43.91462592 +/- 0.0040 Time of Perihelion: 2468294.9739 +/- 97.6 Perihelion: 40.63884348 +/- 0.0214 Aphelion: 47.19040836 +/- 0.0215 Period (y) 291.0194 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.82501174 +/- 0.0007 Ecliptic Y -16.76312316 +/- 0.0003 Ecliptic Z 2.26582748 +/- 0.0000 Ecliptic XDOT 0.00122748 +/- 0.0000 Ecliptic YDOT -0.00245436 +/- 0.0000 Ecliptic ZDOT -0.00011921 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.43510330 +/- 0.0007 Geocenter to KBO 40.88459187 +/- 0.0008 # Hcoef: 7.98
The following table shows the complete astrometric record for 15GX58. 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 (15GX58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.59668 13 37 29.620 -06 44 06.48 23.7r 15GX58 568 C~2nvb 2015 02 17.63771 13 37 29.535 -06 44 05.75 23.7r 15GX58 568 C~2nvb 2015 02 20.63083 13 37 23.126 -06 43 17.56 25.2r 15GX58 568 C~2nvb 2015 03 18.57516 13 36 00.942 -06 34 07.12 23.9r 15GX58 568 C~2nvb 2015 03 18.62254 13 36 00.751 -06 34 05.93 23.8r 15GX58 568 C~2nvb 2015 03 20.57938 13 35 52.967 -06 33 17.22 24.0r 15GX58 568 C~2nvb 2015 04 11.51365 13 34 17.065 -06 23 41.24 23.6r 15GX58 568 C~2nvb 2015 04 13.37789 13 34 08.526 -06 22 51.93 24.2r 15GX58 568 C~2nvb 2015 04 13.41891 13 34 08.329 -06 22 50.75 24.2r 15GX58 568 C~2nvb 2015 04 13.42365 13 34 08.304 -06 22 50.63 23.8r 15GX58 568 C~2nvb 2015 04 13.42846 13 34 08.280 -06 22 50.51 23.7r 15GX58 568 C~2nvb 2015 04 13.43331 13 34 08.259 -06 22 50.43 23.9r 15GX58 568 C~2nvb 2015 04 13.43815 13 34 08.239 -06 22 50.26 23.9r 15GX58 568 C~2nvb 2015 04 13.52145 13 34 07.848 -06 22 48.07 23.8r 15GX58 568 C~2nvb 2015 04 19.48929 13 33 40.402 -06 20 11.59 24.2r 15GX58 568 C~2nvb 2015 04 19.53630 13 33 40.163 -06 20 10.69 24.5r 15GX58 568 C~2nvb 2015 04 19.56015 13 33 40.049 -06 20 09.83 24.5r 15GX58 568 C~2nvb 2015 05 18.34130 13 31 37.011 -06 09 11.84 23.8r 15GX58 568 C~2nvb 2015 06 20.29133 13 30 07.840 -06 02 51.18 24.0r 15GX58 568 C~2nvb 2015 06 20.33212 13 30 07.774 -06 02 50.86 23.8r 15GX58 568 C~2nvb 2015 06 22.33610 13 30 04.968 -06 02 44.63 24.1r 15GX58 568 C~2nvb 2015 07 14.28829 13 29 56.587 -06 03 54.20 23.8r 15GX58 568 C~2nvb 2015 07 20.28135 13 30 01.642 -06 04 57.08 24.3r 15GX58 568 C~2nvb 2016 02 04.58367 13 42 59.128 -07 20 28.34 24.1w 15GX58 568 C~2nvb 2016 02 10.57151 13 42 53.108 -07 19 29.43 24.7w 15GX58 568 C~2nvb 2016 02 10.61301 13 42 53.047 -07 19 28.62 25.2w 15GX58 568 C~2nvb 2016 04 03.44935 13 40 05.200 -07 01 12.68 24.2w 15GX58 568 C~2nvb 2016 04 09.43049 13 39 38.086 -06 58 34.97 23.8w 15GX58 568 C~2nvb 2016 05 01.45743 13 37 57.434 -06 49 15.33 24.0w 15GX58 568 C~2nvb 2016 05 02.33152 13 37 53.609 -06 48 54.52 25.0w 15GX58 568 C~2nvb 2016 05 02.36396 13 37 53.438 -06 48 53.98 24.7w 15GX58 568 C~2nvb 2016 05 07.33487 13 37 31.893 -06 47 00.26 24.2w 15GX58 568 C~2nvb 2016 05 28.29220 13 36 12.444 -06 40 27.14 23.9w 15GX58 568 C~2nvb 2016 05 28.30434 13 36 12.400 -06 40 26.92 24.1w 15GX58 568 C~2nvb 2016 05 29.31127 13 36 09.179 -06 40 12.16 24.2w 15GX58 568 C~2nvb 2016 06 04.36963 13 35 51.161 -06 38 52.89 25.1w 15GX58 568 C~2nvb 2016 06 27.34644 13 35 07.681 -06 36 31.72 24.5w 15GX58 568 C~2nvb 2016 07 07.33613 13 35 02.391 -06 36 54.40 24.3w 15GX58 568 C~2nvb 2017 03 29.51368 13 45 44.525 -07 37 35.25 24.9w 15GX58 568 C~2nvb 2017 03 30.48302 13 45 40.329 -07 37 10.14 24.2w 15GX58 568 C~2nvb 2017 06 24.30392 13 40 22.439 -07 10 26.42 24.8w 15GX58 568 C~2nvb
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 -0.01 0.00 -0.03 2 0.0001 -1.44 -0.03 0.22 0.07 3 0.0083 -107.90 -0.03 10.48 0.02 4 0.0793 -1448.71 -0.09 78.52 0.01 5 0.0795 -1451.79 -0.11 78.59 0.02 6 0.0848 -1577.56 -0.01 81.79 -0.07 7 0.1449 -3118.73 -0.15 97.96 0.03 8 0.1500 -3255.26 0.10 97.50 -0.03 9 0.1501 -3258.43 -0.01 97.52 0.03 10 0.1501 -3258.82 -0.04 97.50 0.01 11 0.1501 -3259.20 -0.06 97.48 -0.00 12 0.1501 -3259.52 -0.02 97.44 -0.04 13 0.1501 -3259.86 0.00 97.49 0.02 14 0.1504 -3266.09 -0.00 97.41 -0.01 15 0.1667 -3704.26 0.29 93.96 0.07 16 0.1668 -3707.90 0.13 93.50 -0.34 17 0.1669 -3709.80 0.00 93.68 -0.13 18 0.2457 -5659.02 -0.11 36.40 -0.04 19 0.3359 -7037.38 0.01 -96.03 -0.14 20 0.3360 -7038.41 -0.08 -96.09 0.01 21 0.3415 -7079.69 0.10 -105.63 0.07 22 0.4016 -7170.65 0.09 -216.22 0.11 23 0.4180 -7077.34 -0.06 -247.13 0.06 24 0.9637 5363.58 0.08 -260.88 -0.01 25 0.9801 5258.74 0.14 -238.17 -0.13 26 0.9802 5257.60 -0.04 -237.74 0.16 27 1.1249 2531.41 0.00 -117.19 0.01 28 1.1412 2097.96 -0.09 -116.18 -0.02 29 1.2015 498.11 -0.04 -137.52 0.03 30 1.2039 437.48 0.25 -138.78 0.35 31 1.2040 434.91 -0.02 -139.21 0.01 32 1.2176 94.61 -0.02 -149.65 0.08 33 1.2750 -1150.89 0.07 -213.21 -0.02 34 1.2750 -1151.58 0.00 -213.24 0.00 35 1.2778 -1201.65 0.02 -216.93 0.06 36 1.2944 -1480.56 -0.12 -240.69 0.06 37 1.3573 -2135.41 -0.02 -344.91 0.04 38 1.3846 -2200.58 -0.06 -394.73 -0.02 39 2.1107 8030.96 0.08 -335.16 -0.29 40 2.1133 7963.62 -0.14 -334.10 0.01 41 2.3483 2970.94 -0.01 -540.75 -0.05
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.
15GX58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.496 43.504 43.487 ecceobj 0.070 0.070 0.069 incobj 3.913 3.913 3.913 qmin 40.114 40.077 40.074 qmax 47.714 47.770 47.697 amean 43.785 43.794 43.774 amin 43.433 43.451 43.420 amax 44.155 44.165 44.134 emean 0.061 0.062 0.062 emin 0.041 0.043 0.038 emax 0.082 0.082 0.081 imean 2.022 2.016 2.050 imin 1.171 1.168 1.222 imax 2.678 2.678 2.768 excite_mean 0.071 0.072 0.072 fracstop 1.000 1.000 1.000 cjmean 3.093 3.093 3.093 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 178.1 183.4 176.7 kozaiamp 180.0 180.0 179.9