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: 16GA370 # Created Wed Nov 27 02:10:38 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 29.14d # First observation: 2016/03/16 # Last observation: 2016/04/14 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.033986 0.000000 -0.014405 0.033159 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 3.38 DOF: 23 RMS: 0.09 # Min/Max residuals: -0.15 0.19 # Exact a, adot, b, bdot, g, gdot: 1.621977E-05 3.281376E-02 -6.645821E-06 -1.425450E-02 3.284288E-02 1.556769E-02 # Covariance matrix: 8.1103E-13 1.2053E-09 -8.5497E-14 -1.1026E-10 2.1908E-10 6.0344E-09 1.2053E-09 2.5759E-06 -1.8179E-10 -2.3434E-07 4.6539E-07 1.2100E-05 -8.5497E-14 -1.8179E-10 2.5480E-13 1.3317E-11 -3.2918E-11 -8.8959E-10 -1.1026E-10 -2.3434E-07 1.3317E-11 2.1443E-08 -4.2449E-08 -1.1539E-06 2.1908E-10 4.6539E-07 -3.2918E-11 -4.2449E-08 8.4344E-08 2.3130E-06 6.0344E-09 1.2100E-05 -8.8959E-10 -1.1539E-06 2.3130E-06 1.1912E-04 # lat0 lon0 xBary yBary zBary JD0 13.200884 -150.341601 0.550418 0.188417 -0.802630 2457463.944559 # Heliocentric elements and errors Epoch: 2457460.5000 = 2016/03/13 Mean Anomaly: 50.33921 +/- 29.925 Argument of Peri: 53.13431 +/- 11.734 Long of Asc Node: 56.38391 +/- 1.083 Inclination: 26.09660 +/- 0.825 Eccentricity: 0.40264830 +/- 0.2870 Semi-Major Axis: 35.61058647 +/- 11.3897 Time of Perihelion: 2446606.9703 +/- 3809.7 Perihelion: 21.27204439 +/- 12.2773 Aphelion: 49.94912856 +/- 18.9649 Period (y) 212.5088 +/- 101.95 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.75223204 +/- 0.2278 Ecliptic Y -14.60041989 +/- 0.1297 Ecliptic Z 6.95310422 +/- 0.0615 Ecliptic XDOT 0.00001976 +/- 0.0007 Ecliptic YDOT -0.00314351 +/- 0.0005 Ecliptic ZDOT -0.00086051 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 31.26019575 +/- 0.2046 Geocenter to KBO 30.44799550 +/- 0.2692 # Hcoef: 8.39
The following table shows the complete astrometric record for 16GA370. 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 (16GA370) followed by the observatory code and reference code for the source of the astrometry.
2016 03 16.44377 14 08 48.76 +01 01 30.6 23.1z 16GA370 T09 C~89Tf 2016 03 16.48011 14 08 48.60 +01 01 31.8 22.8z 16GA370 T09 C~89Tf 2016 03 16.50476 14 08 48.48 +01 01 32.6 22.8z 16GA370 T09 C~89Tf 2016 03 16.52139 14 08 48.39 +01 01 33.3 23.0z 16GA370 T09 C~89Tf 2016 03 16.52963 14 08 48.35 +01 01 33.5 23.3z 16GA370 T09 C~89Tf 2016 03 16.60339 14 08 47.99 +01 01 36.0 23.2z 16GA370 T09 C~89Tf 2016 04 11.44782 14 06 24.44 +01 15 35.3 23.1i 16GA370 T09 C~89Tf 2016 04 11.46760 14 06 24.31 +01 15 35.8 23.1i 16GA370 T09 C~89Tf 2016 04 11.47030 14 06 24.29 +01 15 36.0 23.1i 16GA370 T09 C~89Tf 2016 04 11.49226 14 06 24.16 +01 15 36.8 22.9i 16GA370 T09 C~89Tf 2016 04 11.51385 14 06 24.03 +01 15 37.1 22.9i 16GA370 T09 C~89Tf 2016 04 14.52605 14 06 05.37 +01 17 05.1 23.2y 16GA370 T09 C~89Tf 2016 04 14.53682 14 06 05.31 +01 17 05.3 23.3y 16GA370 T09 C~89Tf 2016 04 14.58805 14 06 05.00 +01 17 06.8 23.7y 16GA370 T09 C~89Tf
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 -0.09 0.00 -0.04
2 0.0001 -2.67 0.13 0.30 0.01
3 0.0002 -4.63 0.13 0.42 -0.02
4 0.0002 -6.14 -0.06 0.62 0.06
5 0.0002 -6.77 -0.03 0.60 -0.01
6 0.0004 -12.70 -0.09 1.07 -0.01
7 0.0712 -2323.03 0.03 44.58 0.03
8 0.0712 -2325.03 -0.02 44.38 -0.09
9 0.0713 -2325.38 -0.11 44.46 0.01
10 0.0713 -2327.49 -0.05 44.54 0.19
11 0.0714 -2329.42 0.14 44.15 -0.10
12 0.0796 -2622.47 -0.15 30.05 -0.01
13 0.0797 -2623.38 -0.00 29.92 -0.07
14 0.0798 -2628.26 0.17 29.72 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.