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: 20AO32 # Created Sun Oct 19 01:12:04 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 30.03d # First observation: 2019/12/04 # Last observation: 2020/01/03 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.029371 0.000000 -0.001793 0.027068 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 4.94 DOF: 17 RMS: 0.12 # Min/Max residuals: -0.27 0.22 # Exact a, adot, b, bdot, g, gdot: 1.713256E-05 2.899044E-02 -8.341638E-07 -1.765481E-03 2.672173E-02 7.479795E-04 # Covariance matrix: 4.9208E-13 1.5398E-11 2.0164E-15 3.2502E-12 2.0768E-11 8.8052E-10 1.5398E-11 5.0085E-08 4.8007E-12 7.7761E-09 4.8596E-08 1.7367E-06 2.0164E-15 4.8007E-12 4.8343E-13 -5.1286E-12 4.6925E-12 -2.4558E-11 3.2502E-12 7.7761E-09 -5.1286E-12 1.5272E-09 7.6114E-09 -1.2134E-07 2.0768E-11 4.8596E-08 4.6925E-12 7.6114E-09 4.7260E-08 1.5960E-06 8.8052E-10 1.7367E-06 -2.4558E-11 -1.2134E-07 1.5960E-06 7.7074E-04 # lat0 lon0 xBary yBary zBary JD0 -1.613105 167.860427 0.986757 0.002793 0.098336 2458822.074531 # Heliocentric elements and errors Epoch: 2458820.5000 = 2019/12/03 Mean Anomaly: 358.66021 +/- 58.064 Argument of Peri: 206.26974 +/- 169.997 Long of Asc Node: 321.82956 +/- 0.845 Inclination: 3.89063 +/- 0.124 Eccentricity: 0.11528115 +/- 0.0241 Semi-Major Axis: 42.19475166 +/- 2.2965 Time of Perihelion: 2459193.0797 +/- 116258.9 Perihelion: 37.33049227 +/- 2.2727 Aphelion: 47.05901106 +/- 2.7563 Period (y) 274.0917 +/- 22.38 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.26426424 +/- 0.2975 Ecliptic Y 8.80253580 +/- 0.0640 Ecliptic Z -1.05353184 +/- 0.0086 Ecliptic XDOT -0.00068613 +/- 0.0028 Ecliptic YDOT -0.00288714 +/- 0.0006 Ecliptic ZDOT -0.00018320 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 37.33217682 +/- 0.2894 Geocenter to KBO 37.42272164 +/- 0.3045 # Hcoef: 8.72
The following table shows the complete astrometric record for 20AO32. 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 (20AO32) followed by the observatory code and reference code for the source of the astrometry.
2019 12 04.57373 11 12 49.30 +03 18 46.6 23.8i 20AO32 T09 C~94yF 2019 12 04.57711 11 12 49.30 +03 18 46.6 23.6i 20AO32 T09 C~94yF 2019 12 04.63275 11 12 49.39 +03 18 45.9 23.9i 20AO32 T09 C~94yF 2020 01 02.59373 11 12 49.13 +03 16 51.2 24.3r 20AO32 T09 C~94yF 2020 01 02.60458 11 12 49.10 +03 16 51.0 24.4r 20AO32 T09 C~94yF 2020 01 02.61541 11 12 49.08 +03 16 51.4 24.3r 20AO32 T09 C~94yF 2020 01 03.53378 11 12 47.70 +03 16 56.4 25.5g 20AO32 T09 C~94yF 2020 01 03.53658 11 12 47.69 +03 16 56.8 25.2g 20AO32 T09 C~94yF 2020 01 03.54710 11 12 47.68 +03 16 56.9 25.4g 20AO32 T09 C~94yF 2020 01 03.55761 11 12 47.67 +03 16 56.8 25.3g 20AO32 T09 C~94yF 2020 01 03.60236 11 12 47.58 +03 16 56.9 25.4g 20AO32 T09 C~94yF
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 -0.04
2 0.0000 0.00 -0.08 0.00 -0.03
3 0.0002 1.51 0.07 -0.12 0.08
4 0.0795 42.61 0.11 -107.28 0.05
5 0.0795 42.27 0.03 -107.64 -0.27
6 0.0795 41.84 -0.15 -107.38 0.03
7 0.0820 20.86 0.09 -110.83 -0.17
8 0.0820 20.56 -0.13 -110.52 0.15
9 0.0821 20.39 -0.04 -110.49 0.22
10 0.0821 20.29 0.12 -110.64 0.12
11 0.0822 19.01 -0.03 -111.07 -0.13
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.
20AO32 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0