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: 19GK196 # Created Wed Nov 27 02:10:57 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 31.06d # First observation: 2019/04/07 # Last observation: 2019/05/08 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.040087 -0.000000 -0.019550 0.033188 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 46.95 DOF: 17 RMS: 0.37 # Min/Max residuals: -1.42 0.65 # Exact a, adot, b, bdot, g, gdot: 1.720154E-05 3.519592E-02 -9.941900E-06 -1.908820E-02 3.223023E-02 -7.259750E-04 # Covariance matrix: 1.5603E-12 1.5492E-09 -2.9862E-14 -1.9521E-10 3.8136E-10 -1.1267E-08 1.5492E-09 1.9478E-06 -3.7956E-11 -2.3365E-07 4.6043E-07 -2.3257E-05 -2.9862E-14 -3.7956E-11 2.1599E-13 1.9186E-12 -8.9220E-12 4.7863E-10 -1.9521E-10 -2.3365E-07 1.9186E-12 2.8867E-08 -5.6443E-08 2.1848E-06 3.8136E-10 4.6043E-07 -8.9220E-12 -5.6443E-08 1.1078E-07 -4.5281E-06 -1.1267E-08 -2.3257E-05 4.7863E-10 2.1848E-06 -4.5281E-06 7.6317E-04 # lat0 lon0 xBary yBary zBary JD0 -6.178309 160.354008 -0.590313 -0.086890 -0.802768 2458580.837351 # Heliocentric elements and errors Epoch: 2458580.5000 = 2019/04/07 Mean Anomaly: 359.08566 +/- 118.323 Argument of Peri: 194.06314 +/- 201.264 Long of Asc Node: 330.44614 +/- 0.474 Inclination: 28.96045 +/- 1.061 Eccentricity: 0.24412763 +/- 0.0850 Semi-Major Axis: 42.10897071 +/- 3.6777 Time of Perihelion: 2458833.9916 +/- 32803.9 Perihelion: 31.82900743 +/- 4.5325 Aphelion: 52.38893399 +/- 5.8096 Period (y) 273.2563 +/- 35.80 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.00845233 +/- 0.3000 Ecliptic Y 10.07828668 +/- 0.1071 Ecliptic Z -3.33947416 +/- 0.0345 Ecliptic XDOT -0.00077479 +/- 0.0022 Ecliptic YDOT -0.00289601 +/- 0.0008 Ecliptic ZDOT -0.00160564 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 31.83129217 +/- 0.2849 Geocenter to KBO 31.02677476 +/- 0.3204 # Hcoef: 9.52
The following table shows the complete astrometric record for 19GK196. 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 (19GK196) followed by the observatory code and reference code for the source of the astrometry.
2019 04 07.33655 10 38 07.63 +01 57 39.1 25.5g 19GK196 T09 C~8Mho 2019 04 07.36014 10 38 07.52 +01 57 39.8 25.2g 19GK196 T09 C~8Mho 2019 04 07.37920 10 38 07.43 +01 57 40.3 25.7g 19GK196 T09 C~8Mho 2019 04 08.24145 10 38 03.48 +01 57 59.2 23.4y 19GK196 T09 C~8Mho 2019 04 08.27248 10 38 03.35 +01 58 01.2 23.3y 19GK196 T09 C~8Mho 2019 04 08.33583 10 38 03.07 +01 58 03.5 23.6y 19GK196 T09 C~8Mho 2019 04 08.36293 10 38 02.95 +01 58 03.7 24.2y 19GK196 T09 C~8Mho 2019 05 08.33595 10 36 29.78 +02 06 45.4 25.3i 19GK196 T09 C~8Mho 2019 05 08.36272 10 36 29.73 +02 06 45.6 24.6i 19GK196 T09 C~8Mho 2019 05 08.39224 10 36 29.67 +02 06 45.9 24.5i 19GK196 T09 C~8Mho 2019 05 08.39491 10 36 29.68 +02 06 46.3 24.7i 19GK196 T09 C~8Mho
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 0.12
2 0.0001 -1.79 -0.02 0.03 0.25
3 0.0001 -3.23 -0.04 -0.01 0.29
4 0.0025 -65.21 0.22 -4.69 -1.42
5 0.0026 -67.77 -0.07 -3.56 -0.17
6 0.0027 -72.52 -0.17 -3.00 0.65
7 0.0028 -74.26 0.07 -3.49 0.27
8 0.0849 -1564.69 0.13 -43.16 -0.01
9 0.0849 -1565.46 0.06 -43.26 -0.10
10 0.0850 -1566.40 -0.12 -43.32 -0.15
11 0.0850 -1566.41 -0.06 -42.89 0.27
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.