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: 15GG58 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 22 observations of 22 # Arc: 1.14y # First observation: 2015/02/17 # Last observation: 2016/04/09 Preliminary a, adot, b, bdot, g, gdot: -0.000139 0.019175 0.000002 -0.000311 0.021388 0.000000 # Chi-squared of fit: 2.79 DOF: 38 RMS: 0.06 # Min/Max residuals: -0.19 0.13 # Exact a, adot, b, bdot, g, gdot: 1.383582E-05 1.905937E-02 -2.920335E-07 -3.095341E-04 2.151156E-02 1.862997E-04 # Covariance matrix: 4.1004E-13 3.6864E-13 -1.4561E-15 -9.9300E-15 6.0999E-13 4.3089E-11 3.6864E-13 3.4383E-12 -3.8775E-15 -5.0747E-14 2.2174E-12 2.1134E-10 -1.4561E-15 -3.8775E-15 1.5079E-13 -1.8274E-13 -3.8102E-15 -2.9199E-13 -9.9300E-15 -5.0747E-14 -1.8274E-13 3.9739E-13 -3.7947E-14 -3.5477E-12 6.0999E-13 2.2174E-12 -3.8102E-15 -3.7947E-14 1.8881E-12 1.6030E-10 4.3089E-11 2.1134E-10 -2.9199E-13 -3.5477E-12 1.6030E-10 1.4827E-08 # lat0 lon0 xBary yBary zBary JD0 1.779978 -156.051881 0.813347 0.017413 -0.555847 2457071.085238 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 185.18340 +/- 5.539 Argument of Peri: 292.50479 +/- 5.544 Long of Asc Node: 85.84258 +/- 0.049 Inclination: 1.97552 +/- 0.001 Eccentricity: 0.06141364 +/- 0.0007 Semi-Major Axis: 44.33893271 +/- 0.0056 Time of Perihelion: 2509437.3509 +/- 1659.2 Perihelion: 41.61591727 +/- 0.0311 Aphelion: 47.06194816 +/- 0.0312 Period (y) 295.2474 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -43.30540707 +/- 0.0027 Ecliptic Y -18.34264443 +/- 0.0012 Ecliptic Z 1.44393244 +/- 0.0001 Ecliptic XDOT 0.00095821 +/- 0.0000 Ecliptic YDOT -0.00223261 +/- 0.0000 Ecliptic ZDOT -0.00003855 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.05205444 +/- 0.0025 Geocenter to KBO 46.48663224 +/- 0.0030 # Hcoef: 7.94
The following table shows the complete astrometric record for 15GG58. 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 (15GG58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58446 13 31 19.698 -07 38 10.85 24.9r 15GG58 568 C~2nvZ 2015 02 17.62541 13 31 19.614 -07 38 10.51 24.8r 15GG58 568 C~2nvZ 2015 02 20.61856 13 31 13.395 -07 37 28.17 24.7r 15GG58 568 C~2nvZ 2015 03 20.56704 13 29 49.491 -07 28 35.47 24.3r 15GG58 568 C~2nvZ 2015 04 11.50134 13 28 22.752 -07 19 54.81 24.7r 15GG58 568 C~2nvZ 2015 04 13.36562 13 28 15.079 -07 19 09.51 24.3r 15GG58 568 C~2nvZ 2015 04 13.40656 13 28 14.911 -07 19 08.60 24.5r 15GG58 568 C~2nvZ 2015 04 13.50913 13 28 14.473 -07 19 06.19 24.9r 15GG58 568 C~2nvZ 2015 04 19.40635 13 27 50.189 -07 16 44.37 24.6r 15GG58 568 C~2nvZ 2015 05 18.32905 13 26 00.370 -07 06 23.59 24.4r 15GG58 568 C~2nvZ 2015 06 20.27906 13 24 42.335 -06 59 48.43 24.9r 15GG58 568 C~2nvZ 2015 06 20.31989 13 24 42.284 -06 59 48.18 24.7r 15GG58 568 C~2nvZ 2015 06 22.32371 13 24 39.853 -06 59 38.88 24.7r 15GG58 568 C~2nvZ 2015 07 14.27603 13 24 33.250 -06 59 55.95 24.3r 15GG58 568 C~2nvZ 2015 07 20.26893 13 24 37.939 -07 00 39.55 24.6r 15GG58 568 C~2nvZ 2016 02 04.56733 13 35 43.344 -08 05 25.68 24.7w 15GG58 568 C~2nvZ 2016 02 10.55526 13 35 36.673 -08 04 34.14 24.8w 15GG58 568 C~2nvZ 2016 02 10.60492 13 35 36.615 -08 04 33.67 24.9w 15GG58 568 C~2nvZ 2016 02 11.57713 13 35 35.262 -08 04 23.78 24.8w 15GG58 568 C~2nvZ 2016 03 12.47618 13 34 22.009 -07 56 27.43 24.9w 15GG58 568 C~2nvZ 2016 04 03.43722 13 32 59.891 -07 48 11.62 24.7w 15GG58 568 C~2nvZ 2016 04 09.41701 13 32 35.483 -07 45 48.10 25.2w 15GG58 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 0.04 0.00 0.01 2 0.0001 -1.29 0.11 -0.14 -0.19 3 0.0083 -102.83 -0.06 5.33 -0.04 4 0.0848 -1458.95 -0.08 42.66 0.02 5 0.1449 -2850.41 -0.03 52.02 0.02 6 0.1500 -2973.25 -0.06 52.08 0.13 7 0.1501 -2975.91 0.02 52.01 0.08 8 0.1504 -2982.85 -0.05 51.85 -0.03 9 0.1665 -3371.09 0.04 50.54 -0.04 10 0.2457 -5119.89 -0.04 24.27 0.03 11 0.3359 -6346.29 0.01 -38.31 0.02 12 0.3360 -6347.09 0.06 -38.35 0.08 13 0.3415 -6384.19 -0.02 -43.12 -0.13 14 0.4016 -6469.27 0.00 -95.40 0.07 15 0.4180 -6388.20 0.07 -110.06 0.02 16 0.9637 4244.58 -0.00 -89.53 -0.03 17 0.9801 4133.50 -0.08 -77.63 -0.04 18 0.9802 4132.52 0.10 -77.51 0.01 19 0.9829 4110.20 0.05 -75.62 0.01 20 1.0647 2922.98 0.03 -28.98 0.01 21 1.1249 1605.86 -0.05 -13.44 0.05 22 1.1412 1215.73 -0.06 -12.64 -0.07
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.
15GG58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.952 43.987 43.933 ecceobj 0.071 0.070 0.073 incobj 1.976 1.975 1.976 qmin 40.282 40.279 40.150 qmax 48.478 48.485 48.487 amean 44.228 44.259 44.210 amin 43.883 43.910 43.862 amax 44.606 44.638 44.591 emean 0.071 0.071 0.072 emin 0.055 0.055 0.056 emax 0.087 0.087 0.088 imean 0.668 0.668 0.674 imin 0.338 0.309 0.345 imax 0.979 0.996 0.982 excite_mean 0.072 0.072 0.073 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.097 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 184.1 186.3 183.8 kozaiamp 179.9 180.0 180.0