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: 15GS58 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 31 observations of 31 # Arc: 2.11y # First observation: 2015/02/17 # Last observation: 2017/03/29 Preliminary a, adot, b, bdot, g, gdot: -0.000105 0.021543 0.000002 -0.000184 0.022868 0.000000 # Chi-squared of fit: 11.29 DOF: 56 RMS: 0.11 # Min/Max residuals: -0.42 0.19 # Exact a, adot, b, bdot, g, gdot: 1.494812E-05 2.139273E-02 -9.946068E-11 -1.831420E-04 2.289760E-02 -9.046203E-04 # Covariance matrix: 1.9016E-13 -1.8327E-14 -5.3957E-16 -4.0670E-16 1.3939E-13 2.2589E-12 -1.8327E-14 3.0945E-13 -5.2773E-16 -1.4728E-15 1.8124E-13 8.4781E-12 -5.3957E-16 -5.2773E-16 1.0033E-13 -8.0714E-14 -9.2688E-16 -2.0905E-14 -4.0670E-16 -1.4728E-15 -8.0714E-14 1.2205E-13 -1.3287E-15 -6.7312E-14 1.3939E-13 1.8124E-13 -9.2688E-16 -1.3287E-15 2.6576E-13 7.5540E-12 2.2589E-12 8.4781E-12 -2.0905E-14 -6.7312E-14 7.5540E-12 3.8814E-10 # lat0 lon0 xBary yBary zBary JD0 1.453286 -154.359787 0.829337 0.013631 -0.531806 2457071.093388 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 256.23645 +/- 0.288 Argument of Peri: 218.41412 +/- 0.277 Long of Asc Node: 96.60581 +/- 0.034 Inclination: 1.50895 +/- 0.000 Eccentricity: 0.06144307 +/- 0.0009 Semi-Major Axis: 43.42899769 +/- 0.0050 Time of Perihelion: 2487201.2851 +/- 83.4 Perihelion: 40.76058683 +/- 0.0373 Aphelion: 46.09740855 +/- 0.0374 Period (y) 286.2055 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.20073957 +/- 0.0009 Ecliptic Y -18.37442317 +/- 0.0004 Ecliptic Z 1.10762559 +/- 0.0000 Ecliptic XDOT 0.00120019 +/- 0.0000 Ecliptic YDOT -0.00226505 +/- 0.0000 Ecliptic ZDOT -0.00002454 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.21476816 +/- 0.0008 Geocenter to KBO 43.67269072 +/- 0.0010 # Hcoef: 8.29
The following table shows the complete astrometric record for 15GS58. 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 (15GS58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.59261 13 37 12.598 -08 33 26.84 24.8r 15GS58 568 C~2nva 2015 02 17.63360 13 37 12.518 -08 33 26.27 25.1r 15GS58 568 C~2nva 2015 02 20.62674 13 37 06.361 -08 32 45.44 24.7r 15GS58 568 C~2nva 2015 03 18.57107 13 35 47.900 -08 24 36.04 24.6r 15GS58 568 C~2nva 2015 03 18.61845 13 35 47.707 -08 24 35.13 24.5r 15GS58 568 C~2nva 2015 03 20.57526 13 35 40.312 -08 23 50.14 25.4r 15GS58 568 C~2nva 2015 04 11.50958 13 34 09.217 -08 14 50.54 25.0r 15GS58 568 C~2nva 2015 04 13.37381 13 34 01.095 -08 14 03.41 24.5r 15GS58 568 C~2nva 2015 04 13.41479 13 34 00.914 -08 14 02.21 24.8r 15GS58 568 C~2nva 2015 04 13.51735 13 34 00.461 -08 13 59.53 24.5r 15GS58 568 C~2nva 2015 04 19.41451 13 33 34.699 -08 11 30.76 24.9r 15GS58 568 C~2nva 2015 04 19.54875 13 33 34.120 -08 11 26.83 24.6r 15GS58 568 C~2nva 2015 05 18.33721 13 31 37.229 -08 00 26.98 24.2r 15GS58 568 C~2nva 2015 06 20.28725 13 30 11.931 -07 53 03.41 24.7r 15GS58 568 C~2nva 2015 06 20.32802 13 30 11.878 -07 53 03.28 25.1r 15GS58 568 C~2nva 2015 06 22.33199 13 30 09.123 -07 52 51.31 25.0r 15GS58 568 C~2nva 2015 07 14.28422 13 30 00.266 -07 52 47.07 25.1r 15GS58 568 C~2nva 2015 07 20.27720 13 30 04.754 -07 53 26.84 24.5r 15GS58 568 C~2nva 2016 02 04.61026 13 42 07.430 -09 02 44.76 24.9w 15GS58 568 C~2nva 2016 02 11.59334 13 42 00.076 -09 01 49.50 24.7w 15GS58 568 C~2nva 2016 03 11.60082 13 40 49.416 -08 54 19.77 24.5w 15GS58 568 C~2nva 2016 04 03.47362 13 39 20.589 -08 45 32.52 24.9w 15GS58 568 C~2nva 2016 04 09.45477 13 38 54.832 -08 43 02.84 24.7w 15GS58 568 C~2nva 2016 05 02.31935 13 37 15.822 -08 33 39.01 24.9w 15GS58 568 C~2nvb 2016 05 06.32911 13 36 59.261 -08 32 06.52 25.2w 15GS58 568 C~2nvb 2016 05 29.32744 13 35 36.607 -08 24 36.74 24.8w 15GS58 568 C~2nvb 2016 06 04.38987 13 35 19.458 -08 23 07.52 24.8w 15GS58 568 C~2nvb 2016 06 27.32513 13 34 37.898 -08 19 51.18 24.6w 15GS58 568 C~2nvb 2016 07 07.31590 13 34 32.581 -08 19 41.95 24.9w 15GS58 568 C~2nvb 2017 03 29.47811 13 44 23.993 -09 15 08.95 15GS58 568 C~2nvb 2017 03 29.49962 13 44 23.916 -09 15 08.52 24.8w 15GS58 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 -0.04 0.00 -0.03 2 0.0001 -1.31 -0.01 0.10 0.02 3 0.0083 -101.23 0.15 5.03 0.07 4 0.0793 -1363.56 0.08 38.36 0.09 5 0.0795 -1366.56 -0.03 38.17 -0.13 6 0.0848 -1485.15 0.06 40.19 0.16 7 0.1449 -2941.02 -0.11 50.61 0.04 8 0.1500 -3070.50 -0.08 50.55 -0.18 9 0.1501 -3073.44 -0.13 50.68 -0.03 10 0.1504 -3080.68 -0.12 50.73 0.05 11 0.1665 -3491.17 -0.08 49.78 -0.42 12 0.1669 -3500.61 -0.05 50.30 0.18 13 0.2457 -5358.43 0.10 30.31 -0.00 14 0.3359 -6701.17 0.01 -21.17 0.15 15 0.3360 -6701.95 0.18 -21.33 0.08 16 0.3415 -6744.47 -0.02 -25.21 0.02 17 0.4016 -6868.59 0.13 -69.56 0.05 18 0.4180 -6791.88 -0.04 -82.11 -0.06 19 0.9638 4711.11 0.00 -61.02 0.07 20 0.9829 4589.52 -0.04 -48.63 -0.10 21 1.0623 3450.43 0.19 -5.99 0.19 22 1.1249 2032.02 0.13 10.60 -0.09 23 1.1413 1621.83 -0.01 12.12 -0.02 24 1.2039 48.98 -0.03 6.00 -0.10 25 1.2149 -213.49 -0.19 3.09 -0.06 26 1.2779 -1519.42 -0.02 -23.22 0.05 27 1.2944 -1788.94 -0.09 -32.66 -0.02 28 1.3572 -2434.94 0.11 -74.28 -0.03 29 1.3846 -2511.81 -0.02 -94.43 -0.01 30 2.1106 6867.56 -0.12 -29.90 0.04 31 2.1106 6866.34 0.09 -29.91 0.03
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.
15GS58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.046 43.057 43.034 ecceobj 0.067 0.068 0.065 incobj 1.509 1.509 1.509 qmin 39.652 39.590 39.717 qmax 47.255 47.315 47.161 amean 43.327 43.338 43.315 amin 42.986 42.994 42.975 amax 43.687 43.695 43.672 emean 0.064 0.066 0.063 emin 0.043 0.044 0.042 emax 0.082 0.083 0.080 imean 1.186 1.193 1.180 imin 0.000 0.000 0.020 imax 1.834 1.849 1.820 excite_mean 0.068 0.070 0.067 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 177.6 177.5 177.8 kozaiamp 180.0 180.0 180.0