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: 15GG59 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 2.11y # First observation: 2015/02/17 # Last observation: 2017/03/30 Preliminary a, adot, b, bdot, g, gdot: -0.000149 0.022575 0.000004 -0.002828 0.023176 0.000000 # Chi-squared of fit: 11.78 DOF: 52 RMS: 0.11 # Min/Max residuals: -0.30 0.29 # Exact a, adot, b, bdot, g, gdot: 1.433660E-05 2.251728E-02 -2.129046E-06 -2.826521E-03 2.330661E-02 3.826923E-03 # Covariance matrix: 1.9329E-13 -1.9782E-14 7.8598E-16 -1.2210E-14 1.5009E-13 2.8482E-12 -1.9782E-14 4.2284E-13 7.7597E-15 -5.4459E-14 2.2125E-13 1.2581E-11 7.8598E-16 7.7597E-15 9.9941E-14 -9.2276E-14 5.0659E-15 3.9220E-13 -1.2210E-14 -5.4459E-14 -9.2276E-14 1.7811E-13 -4.3596E-14 -2.6960E-12 1.5009E-13 2.2125E-13 5.0659E-15 -4.3596E-14 2.9787E-13 1.0105E-11 2.8482E-12 1.2581E-11 3.9220E-13 -2.6960E-12 1.0105E-11 6.2257E-10 # lat0 lon0 xBary yBary zBary JD0 2.683101 -153.938538 0.833110 0.024763 -0.525467 2457071.105668 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 54.29595 +/- 0.040 Argument of Peri: 87.64202 +/- 0.113 Long of Asc Node: 45.40109 +/- 0.003 Inclination: 7.54877 +/- 0.001 Eccentricity: 0.16742158 +/- 0.0011 Semi-Major Axis: 47.03804774 +/- 0.0191 Time of Perihelion: 2439298.4589 +/- 7.4 Perihelion: 39.16286336 +/- 0.0543 Aphelion: 54.91323211 +/- 0.0565 Period (y) 322.6132 +/- 0.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.34279759 +/- 0.0009 Ecliptic Y -18.31223730 +/- 0.0004 Ecliptic Z 2.00843506 +/- 0.0000 Ecliptic XDOT 0.00074108 +/- 0.0000 Ecliptic YDOT -0.00258587 +/- 0.0000 Ecliptic ZDOT -0.00031053 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.44223254 +/- 0.0008 Geocenter to KBO 42.90628880 +/- 0.0010 # Hcoef: 8.35
The following table shows the complete astrometric record for 15GG59. 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 (15GG59) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.60489 13 40 35.516 -07 33 46.92 24.9r 15GG59 568 C~2nvc 2015 02 17.64586 13 40 35.401 -07 33 46.29 25.2r 15GG59 568 C~2nvc 2015 02 20.63905 13 40 29.322 -07 33 06.00 24.6r 15GG59 568 C~2nvc 2015 03 18.58338 13 39 10.750 -07 25 05.37 24.8r 15GG59 568 C~2nvc 2015 03 18.63265 13 39 10.570 -07 25 04.38 24.3r 15GG59 568 C~2nvc 2015 03 20.58759 13 39 03.116 -07 24 21.06 23.9r 15GG59 568 C~2nvc 2015 04 11.52247 13 37 30.861 -07 15 40.05 24.8r 15GG59 568 C~2nvc 2015 04 13.38609 13 37 22.625 -07 14 54.79 24.4r 15GG59 568 C~2nvc 2015 04 13.44737 13 37 22.337 -07 14 53.10 25.4r 15GG59 568 C~2nvc 2015 04 13.45145 13 37 22.325 -07 14 53.14 24.8r 15GG59 568 C~2nvc 2015 04 13.45555 13 37 22.299 -07 14 53.05 25.1r 15GG59 568 C~2nvc 2015 04 13.52960 13 37 21.981 -07 14 51.21 24.4r 15GG59 568 C~2nvc 2015 04 19.49744 13 36 55.438 -07 12 27.75 23.8r 15GG59 568 C~2nvc 2015 05 18.34948 13 34 55.576 -07 02 15.78 24.3r 15GG59 568 C~2nvd 2015 06 20.29948 13 33 26.972 -06 56 11.77 24.1r 15GG59 568 C~2nvd 2015 06 20.34029 13 33 26.908 -06 56 11.76 25.0r 15GG59 568 C~2nvd 2015 06 22.34439 13 33 23.981 -06 56 05.23 25.3r 15GG59 568 C~2nvd 2015 07 14.29673 13 33 13.313 -06 57 03.25 25.7r 15GG59 568 C~2nvd 2015 07 20.28959 13 33 17.392 -06 58 00.42 24.6r 15GG59 568 C~2nvd 2016 02 04.60621 13 45 29.421 -08 12 34.30 25.4w 15GG59 568 C~2nvd 2016 02 11.58929 13 45 22.439 -08 11 40.96 25.0w 15GG59 568 C~2nvd 2016 03 11.59678 13 44 12.388 -08 04 24.83 24.8w 15GG59 568 C~2nvd 2016 04 03.46957 13 42 43.063 -07 55 56.83 25.2w 15GG59 568 C~2nvd 2016 04 09.45073 13 42 17.040 -07 53 34.13 24.6w 15GG59 568 C~2nvd 2016 05 02.33557 13 40 36.466 -07 44 43.04 25.0w 15GG59 568 C~2nvd 2016 05 07.33893 13 40 15.487 -07 42 56.91 24.6w 15GG59 568 C~2nvd 2016 05 29.33959 13 38 54.918 -07 36 33.95 24.6w 15GG59 568 C~2nvd 2016 07 07.32804 13 37 47.351 -07 33 14.82 24.8w 15GG59 568 C~2nvd 2017 03 30.48771 13 47 40.142 -08 34 28.09 15GG59 568 C~2nvd
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 0.19 0.00 0.04 2 0.0001 -1.82 -0.30 -0.03 -0.04 3 0.0083 -100.66 -0.03 4.97 -0.07 4 0.0793 -1363.92 -0.08 31.52 0.02 5 0.0795 -1366.78 0.08 31.47 -0.03 6 0.0848 -1485.82 0.29 31.81 -0.21 7 0.1449 -2954.03 -0.07 21.14 -0.10 8 0.1500 -3084.68 0.07 18.95 0.03 9 0.1502 -3089.28 -0.16 18.97 0.17 10 0.1502 -3089.44 -0.02 18.87 0.07 11 0.1502 -3089.83 -0.12 18.81 0.02 12 0.1504 -3094.91 0.09 18.81 0.15 13 0.1667 -3515.14 -0.17 9.44 0.02 14 0.2457 -5400.55 0.03 -67.76 -0.22 15 0.3359 -6762.96 0.02 -208.64 0.04 16 0.3360 -6763.86 0.10 -208.97 -0.08 17 0.3415 -6806.87 0.09 -218.77 -0.05 18 0.4016 -6933.82 0.15 -330.72 0.03 19 0.4180 -6856.35 -0.20 -361.86 0.01 20 0.9637 4912.30 -0.08 -604.02 -0.02 21 0.9828 4796.35 0.08 -591.29 0.10 22 1.0623 3668.48 0.09 -556.57 0.09 23 1.1249 2247.43 0.03 -558.57 0.16 24 1.1413 1835.30 0.03 -564.36 0.10 25 1.2039 249.68 0.08 -606.92 -0.02 26 1.2176 -79.44 0.03 -620.36 0.06 27 1.2778 -1334.68 0.01 -695.63 0.02 28 1.3846 -2343.43 -0.14 -873.36 -0.17 29 2.1133 7195.40 -0.06 -1138.91 -0.13
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.
15GG59 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.551 46.607 46.496 ecceobj 0.162 0.165 0.159 incobj 7.571 7.571 7.571 qmin 38.183 38.095 38.337 qmax 55.981 56.178 55.746 amean 46.867 46.925 46.811 amin 46.457 46.512 46.402 amax 47.353 47.409 47.288 emean 0.167 0.170 0.164 emin 0.153 0.156 0.149 emax 0.183 0.185 0.180 imean 6.746 6.755 6.739 imin 6.192 6.183 6.196 imax 7.350 7.380 7.317 excite_mean 0.204 0.207 0.202 fracstop 1.000 1.000 1.000 cjmean 3.086 3.085 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 176.5 176.4 176.7 kozaiamp 180.0 179.9 180.0