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: 19GL196 # Created Wed Nov 27 02:10:57 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 113.82d # First observation: 2018/12/12 # Last observation: 2019/04/05 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.033067 0.000001 -0.009491 0.026869 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 5.00 DOF: 21 RMS: 0.11 # Min/Max residuals: -0.22 0.18 # Exact a, adot, b, bdot, g, gdot: 1.394985E-05 2.311140E-02 -5.500110E-06 -9.471409E-03 2.512297E-02 1.251777E-02 # Covariance matrix: 3.8856E-13 2.3805E-10 6.0880E-15 5.4300E-12 2.8691E-11 -2.4580E-09 2.3805E-10 3.9455E-07 1.0158E-11 9.1966E-09 4.6890E-08 -4.1396E-06 6.0880E-15 1.0158E-11 2.4419E-13 -4.6215E-13 1.0064E-12 -1.3793E-10 5.4300E-12 9.1966E-09 -4.6215E-13 4.2081E-10 6.4226E-10 -1.6686E-07 2.8691E-11 4.6890E-08 1.0064E-12 6.4226E-10 6.5799E-09 -3.3470E-07 -2.4580E-09 -4.1396E-06 -1.3793E-10 -1.6686E-07 -3.3470E-07 6.7987E-05 # lat0 lon0 xBary yBary zBary JD0 -13.218036 135.164804 0.811483 -0.130274 -0.555109 2458465.003171 # Heliocentric elements and errors Epoch: 2458460.5000 = 2018/12/08 Mean Anomaly: 34.17361 +/- 22.491 Argument of Peri: 124.44803 +/- 5.562 Long of Asc Node: 285.41266 +/- 0.599 Inclination: 25.82169 +/- 0.430 Eccentricity: 0.48890140 +/- 0.3319 Semi-Major Axis: 54.51849659 +/- 22.3493 Time of Perihelion: 2444503.1613 +/- 3274.2 Perihelion: 27.86432746 +/- 21.3964 Aphelion: 81.17266572 +/- 37.8763 Period (y) 402.5539 +/- 247.53 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -27.31080087 +/- 0.0887 Ecliptic Y 28.29089212 +/- 0.0882 Ecliptic Z -9.10178287 +/- 0.0294 Ecliptic XDOT -0.00254243 +/- 0.0006 Ecliptic YDOT -0.00101825 +/- 0.0007 Ecliptic ZDOT -0.00131695 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 40.36207220 +/- 0.0864 Geocenter to KBO 39.80420894 +/- 0.1285 # Hcoef: 8.14
The following table shows the complete astrometric record for 19GL196. 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 (19GL196) followed by the observatory code and reference code for the source of the astrometry.
2018 12 12.50237 08 55 04.23 +03 37 33.2 23.9i 19GL196 T09 C~8Mho 2018 12 12.51094 08 55 04.19 +03 37 33.2 24.2i 19GL196 T09 C~8Mho 2018 12 12.51372 08 55 04.19 +03 37 33.4 23.9i 19GL196 T09 C~8Mho 2018 12 12.51685 08 55 04.18 +03 37 33.2 23.9i 19GL196 T09 C~8Mho 2018 12 12.53551 08 55 04.13 +03 37 32.9 24.0i 19GL196 T09 C~8Mho 2018 12 12.53846 08 55 04.11 +03 37 33.0 23.8i 19GL196 T09 C~8Mho 2019 04 03.34384 08 47 20.14 +04 01 50.2 23.8i 19GL196 T09 C~8Mho 2019 04 03.38864 08 47 20.04 +04 01 51.1 24.2i 19GL196 T09 C~8Mho 2019 04 03.40733 08 47 20.00 +04 01 51.4 23.7i 19GL196 T09 C~8Mho 2019 04 05.26011 08 47 16.71 +04 02 29.0 24.4r 19GL196 T09 C~8Mho 2019 04 05.30566 08 47 16.62 +04 02 30.2 24.2r 19GL196 T09 C~8Mho 2019 04 05.30775 08 47 16.62 +04 02 29.9 24.8r 19GL196 T09 C~8Mho 2019 04 05.32668 08 47 16.58 +04 02 30.7 24.4r 19GL196 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 0.12 0.00 -0.10
2 0.0000 -0.57 -0.10 -0.17 -0.07
3 0.0000 -0.63 -0.05 0.02 0.18
4 0.0000 -0.72 -0.01 -0.21 0.02
5 0.0001 -1.35 0.12 -0.71 -0.06
6 0.0001 -1.67 -0.08 -0.70 0.02
7 0.3062 -7077.81 0.10 -557.99 0.12
8 0.3063 -7079.50 -0.08 -557.55 0.05
9 0.3064 -7080.16 -0.11 -557.43 -0.04
10 0.3115 -7138.03 0.15 -535.13 -0.15
11 0.3116 -7139.66 -0.05 -534.36 0.09
12 0.3116 -7139.57 0.10 -534.65 -0.22
13 0.3116 -7140.37 -0.11 -534.05 0.15
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.