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: 18GT15 # Created Wed Nov 27 02:10:53 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 32.21d # First observation: 2018/04/12 # Last observation: 2018/05/14 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.018564 0.000001 0.007802 0.020152 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 2.57 DOF: 15 RMS: 0.09 # Min/Max residuals: -0.19 0.14 # Exact a, adot, b, bdot, g, gdot: 1.309440E-05 1.627187E-02 7.266816E-06 7.928673E-03 1.971929E-02 1.926065E-03 # Covariance matrix: 2.8771E-12 1.3725E-09 2.6111E-14 -3.7606E-11 3.3250E-10 -7.2031E-09 1.3725E-09 7.9091E-07 2.6637E-11 -2.4784E-08 1.8503E-07 -8.3342E-06 2.6111E-14 2.6637E-11 2.6843E-13 -4.5587E-12 5.2486E-12 -9.5733E-10 -3.7606E-11 -2.4784E-08 -4.5587E-12 1.0036E-09 -5.5310E-09 4.4551E-07 3.3250E-10 1.8503E-07 5.2486E-12 -5.5310E-09 4.3809E-08 -1.5952E-06 -7.2031E-09 -8.3342E-06 -9.5733E-10 4.4551E-07 -1.5952E-06 3.3186E-04 # lat0 lon0 xBary yBary zBary JD0 -1.214434 168.292443 -0.547594 -0.017595 -0.835160 2458220.577601 # Heliocentric elements and errors Epoch: 2458220.5000 = 2018/04/12 Mean Anomaly: 38.00302 +/- 159.764 Argument of Peri: 306.02259 +/- 263.595 Long of Asc Node: 171.35821 +/- 0.165 Inclination: 26.00873 +/- 1.463 Eccentricity: 0.15989453 +/- 0.8271 Semi-Major Axis: 58.19641820 +/- 13.3706 Time of Perihelion: 2441102.2864 +/- 71722.4 Perihelion: 48.89112950 +/- 49.4276 Aphelion: 67.50170689 +/- 50.5710 Period (y) 443.9689 +/- 153.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -50.57599459 +/- 0.5269 Ecliptic Y 9.91399076 +/- 0.1093 Ecliptic Z -1.07443527 +/- 0.0114 Ecliptic XDOT -0.00073653 +/- 0.0025 Ecliptic YDOT -0.00215754 +/- 0.0006 Ecliptic ZDOT 0.00109476 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 51.54971244 +/- 0.5174 Geocenter to KBO 50.71175263 +/- 0.5383 # Hcoef: 7.51
The following table shows the complete astrometric record for 18GT15. 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 (18GT15) followed by the observatory code and reference code for the source of the astrometry.
2018 04 12.07680 11 15 02.290 +03 30 42.05 24.5r 18GT15 807 C~3wrJ 2018 04 13.08164 11 14 59.388 +03 31 06.32 24.6r 18GT15 807 C~3wrJ 2018 04 14.11923 11 14 56.43 +03 31 31.2 24.5r 18GT15 309 C~5Mt7 2018 04 14.12391 11 14 56.42 +03 31 31.2 18GT15 309 C~5Mt7 2018 04 14.13327 11 14 56.39 +03 31 31.6 18GT15 309 C~5Mt7 2018 04 14.13795 11 14 56.38 +03 31 31.7 24.7r 18GT15 309 C~5Mt7 2018 05 14.23892 11 13 55.495 +03 40 58.46 18GT15 G37 C~3wrJ 2018 05 14.24618 11 13 55.479 +03 40 58.35 18GT15 G37 C~3wrJ 2018 05 14.27884 11 13 55.441 +03 40 58.94 18GT15 G37 C~3wrJ 2018 05 14.28623 11 13 55.444 +03 40 58.83 18GT15 G37 C~3wrJ
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 -0.19
2 0.0028 -49.47 0.03 5.39 -0.10
3 0.0056 -99.96 -0.03 11.02 0.06
4 0.0056 -100.10 0.06 10.96 -0.02
5 0.0056 -100.67 -0.05 11.15 0.13
6 0.0056 -100.84 0.00 11.19 0.14
7 0.0881 -1161.20 -0.01 177.50 0.13
8 0.0881 -1161.38 -0.03 177.31 -0.10
9 0.0882 -1162.13 -0.10 177.63 0.04
10 0.0882 -1162.05 0.14 177.54 -0.08
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.
18GT15 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0