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: 16GD370 # Created Wed Nov 27 02:10:38 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 29.13d # First observation: 2016/03/16 # Last observation: 2016/04/14 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.074464 -0.000000 -0.005883 0.049478 0.000000 # Chi-squared of fit: 7.10 DOF: 26 RMS: 0.12 # Min/Max residuals: -0.29 0.23 # Exact a, adot, b, bdot, g, gdot: 2.347647E-05 7.099940E-02 -1.893428E-06 -5.584402E-03 4.863128E-02 2.061919E-02 # Covariance matrix: 5.6261E-13 8.4201E-10 -5.1078E-14 -7.4272E-11 1.5639E-10 3.9921E-09 8.4201E-10 2.6555E-06 -1.5965E-10 -2.3318E-07 4.8838E-07 1.1600E-05 -5.1078E-14 -1.5965E-10 3.0013E-13 1.0069E-11 -2.9430E-11 -7.2225E-10 -7.4272E-11 -2.3318E-07 1.0069E-11 2.0554E-08 -4.2882E-08 -1.0170E-06 1.5639E-10 4.8838E-07 -2.9430E-11 -4.2882E-08 9.0071E-08 2.2249E-06 3.9921E-09 1.1600E-05 -7.2225E-10 -1.0170E-06 2.2249E-06 8.4551E-05 # lat0 lon0 xBary yBary zBary JD0 12.534088 -149.330306 0.564845 0.176933 -0.795187 2457463.947289 # Heliocentric elements and errors Epoch: 2457460.5000 = 2016/03/13 Mean Anomaly: 28.96837 +/- 6.516 Argument of Peri: 48.43962 +/- 8.643 Long of Asc Node: 100.57055 +/- 0.279 Inclination: 12.69286 +/- 0.023 Eccentricity: 0.35886253 +/- 0.1482 Semi-Major Axis: 28.97218041 +/- 4.2318 Time of Perihelion: 2452877.0575 +/- 233.4 Perihelion: 18.57515036 +/- 5.0786 Aphelion: 39.36921046 +/- 7.1762 Period (y) 155.9481 +/- 34.17 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -18.25741755 +/- 0.1066 Ecliptic Y -10.17095329 +/- 0.0632 Ecliptic Z 4.46254893 +/- 0.0275 Ecliptic XDOT 0.00100550 +/- 0.0004 Ecliptic YDOT -0.00405782 +/- 0.0003 Ecliptic ZDOT -0.00005497 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 21.37044523 +/- 0.0960 Geocenter to KBO 20.56289797 +/- 0.1269 # Hcoef: 10.25
The following table shows the complete astrometric record for 16GD370. 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 (16GD370) followed by the observatory code and reference code for the source of the astrometry.
2016 03 16.44650 14 11 35.91 +00 03 35.9 23.6z 16GD370 T09 C~8AhS 2016 03 16.44919 14 11 35.91 +00 03 36.0 23.1z 16GD370 T09 C~8AhS 2016 03 16.46978 14 11 35.78 +00 03 37.1 23.1z 16GD370 T09 C~8AhS 2016 03 16.49644 14 11 35.61 +00 03 38.4 23.4z 16GD370 T09 C~8AhS 2016 03 16.59526 14 11 35.00 +00 03 43.6 23.0z 16GD370 T09 C~8AhS 2016 04 11.44099 14 08 29.27 +00 25 46.5 23.1i 16GD370 T09 C~8AhS 2016 04 11.44782 14 08 29.20 +00 25 47.0 23.3i 16GD370 T09 C~8AhS 2016 04 11.46218 14 08 29.09 +00 25 47.5 23.2i 16GD370 T09 C~8AhS 2016 04 11.48680 14 08 28.88 +00 25 48.5 23.2i 16GD370 T09 C~8AhS 2016 04 11.50846 14 08 28.72 +00 25 49.8 23.2i 16GD370 T09 C~8AhS 2016 04 11.53541 14 08 28.49 +00 25 51.0 23.2i 16GD370 T09 C~8AhS 2016 04 11.53811 14 08 28.46 +00 25 51.4 23.3i 16GD370 T09 C~8AhS 2016 04 11.55713 14 08 28.30 +00 25 52.4 23.3i 16GD370 T09 C~8AhS 2016 04 14.53412 14 08 03.99 +00 28 12.0 23.8y 16GD370 T09 C~8AhS 2016 04 14.56920 14 08 03.71 +00 28 13.5 23.1y 16GD370 T09 C~8AhS 2016 04 14.57996 14 08 03.60 +00 28 14.2 23.9y 16GD370 T09 C~8AhS
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 -0.08 0.00 0.02
2 0.0000 -0.03 0.16 0.09 0.06
3 0.0001 -2.24 0.08 0.46 0.06
4 0.0001 -5.08 -0.01 0.81 -0.07
5 0.0004 -15.46 -0.15 2.57 -0.07
6 0.0712 -3086.09 0.09 292.55 -0.05
7 0.0712 -3087.25 -0.16 292.66 0.04
8 0.0712 -3088.97 0.03 292.57 -0.09
9 0.0713 -3092.27 0.00 292.43 -0.29
10 0.0714 -3094.97 0.18 292.83 0.06
11 0.0714 -3098.63 0.11 292.78 -0.05
12 0.0714 -3099.19 -0.09 293.00 0.16
13 0.0715 -3101.78 -0.16 293.12 0.23
14 0.0796 -3492.28 -0.04 299.57 -0.00
15 0.0797 -3496.74 0.19 299.54 -0.05
16 0.0798 -3498.53 -0.16 299.63 0.04
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.