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: 16GA371 # Created Wed Nov 27 02:10:38 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 34.95d # First observation: 2016/03/07 # Last observation: 2016/04/11 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.031920 -0.000002 0.004031 0.027762 0.000000 # Chi-squared of fit: 6.73 DOF: 30 RMS: 0.11 # Min/Max residuals: -0.20 0.25 # Exact a, adot, b, bdot, g, gdot: 1.689239E-05 2.889162E-02 3.482150E-06 4.287301E-03 2.706922E-02 -1.946386E-04 # Covariance matrix: 3.7034E-13 6.4228E-11 -7.0037E-14 -5.3921E-12 1.6155E-11 1.9986E-09 6.4228E-11 1.8752E-07 -1.3773E-10 -1.7623E-08 3.7986E-08 2.2739E-06 -7.0037E-14 -1.3773E-10 3.6404E-13 9.7950E-12 -2.8504E-11 -1.9481E-09 -5.3921E-12 -1.7623E-08 9.7950E-12 1.7150E-09 -3.5443E-09 -2.0140E-07 1.6155E-11 3.7986E-08 -2.8504E-11 -3.5443E-09 7.7704E-09 4.9490E-07 1.9986E-09 2.2739E-06 -1.9481E-09 -2.0140E-07 4.9490E-07 4.3462E-05 # lat0 lon0 xBary yBary zBary JD0 12.801151 -150.717573 0.664587 0.162514 -0.714600 2457455.103509 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 349.85279 +/- 95.085 Argument of Peri: 68.90605 +/- 121.329 Long of Asc Node: 153.19270 +/- 0.591 Inclination: 15.19483 +/- 0.105 Eccentricity: 0.11767800 +/- 0.0339 Semi-Major Axis: 42.57762336 +/- 0.8036 Time of Perihelion: 2460310.8207 +/- 26802.8 Perihelion: 37.56717392 +/- 1.6071 Aphelion: 47.58807281 +/- 1.6991 Period (y) 277.8308 +/- 7.87 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.38863875 +/- 0.1023 Ecliptic Y -17.40111404 +/- 0.0574 Ecliptic Z 8.18538672 +/- 0.0267 Ecliptic XDOT 0.00152969 +/- 0.0006 Ecliptic YDOT -0.00249937 +/- 0.0003 Ecliptic ZDOT 0.00041850 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 37.66727021 +/- 0.0921 Geocenter to KBO 36.94232792 +/- 0.1203 # Hcoef: 8.65
The following table shows the complete astrometric record for 16GA371. 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 (16GA371) followed by the observatory code and reference code for the source of the astrometry.
2016 03 07.60272 14 06 53.04 +00 46 37.4 25.1g 16GA371 T09 C~8DkA 2016 03 07.61343 14 06 53.01 +00 46 37.9 25.1g 16GA371 T09 C~8DkA 2016 03 07.63334 14 06 52.95 +00 46 38.8 24.9g 16GA371 T09 C~8DkA 2016 03 07.64836 14 06 52.91 +00 46 39.3 25.0g 16GA371 T09 C~8DkA 2016 03 16.48011 14 06 23.34 +00 51 51.9 24.2z 16GA371 T09 C~8DkA 2016 03 16.55457 14 06 23.03 +00 51 54.4 24.7z 16GA371 T09 C~8DkA 2016 03 16.57907 14 06 22.94 +00 51 55.4 23.9z 16GA371 T09 C~8DkA 2016 04 08.53825 14 04 44.63 +01 05 21.9 23.6r 16GA371 T09 C~8DkA 2016 04 08.54109 14 04 44.63 +01 05 22.1 24.4r 16GA371 T09 C~8DkA 2016 04 08.54958 14 04 44.59 +01 05 22.4 24.1r 16GA371 T09 C~8DkA 2016 04 08.56247 14 04 44.53 +01 05 22.9 24.4r 16GA371 T09 C~8DkA 2016 04 11.44440 14 04 30.74 +01 06 58.3 23.7i 16GA371 T09 C~8DkA 2016 04 11.46760 14 04 30.62 +01 06 58.9 24.6i 16GA371 T09 C~8DkA 2016 04 11.48411 14 04 30.53 +01 06 59.4 24.4i 16GA371 T09 C~8DkA 2016 04 11.49226 14 04 30.51 +01 06 59.6 23.9i 16GA371 T09 C~8DkA 2016 04 11.51385 14 04 30.39 +01 07 00.5 23.9i 16GA371 T09 C~8DkB 2016 04 11.53541 14 04 30.29 +01 07 01.1 24.4i 16GA371 T09 C~8DkB 2016 04 11.55443 14 04 30.20 +01 07 01.6 24.0i 16GA371 T09 C~8DkB
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 -0.00 0.00 -0.20
2 0.0000 -0.60 -0.00 0.31 -0.07
3 0.0001 -1.75 -0.05 0.84 0.14
4 0.0001 -2.49 0.05 1.11 0.15
5 0.0243 -526.90 0.25 140.41 0.15
6 0.0245 -532.13 -0.12 141.14 -0.16
7 0.0246 -533.74 -0.14 141.61 -0.03
8 0.0874 -2196.48 -0.12 386.56 -0.13
9 0.0874 -2196.55 0.04 386.75 0.04
10 0.0875 -2197.21 0.05 386.82 0.06
11 0.0875 -2198.23 0.06 386.98 0.13
12 0.0954 -2425.32 -0.01 404.73 0.16
13 0.0955 -2427.22 -0.04 404.67 -0.02
14 0.0955 -2428.66 -0.15 404.67 -0.10
15 0.0955 -2429.01 0.16 404.76 -0.06
16 0.0956 -2431.01 -0.10 404.98 0.05
17 0.0956 -2432.63 0.01 405.02 -0.01
18 0.0957 -2434.06 0.10 405.02 -0.11
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.