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: 20BZ94 # Created Tue Apr 1 01:11:18 2025 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 1.87y # First observation: 2020/01/23 # Last observation: 2021/12/07 Preliminary a, adot, b, bdot, g, gdot: -0.000017 0.011886 -0.000001 -0.000763 0.016398 0.000000 # Chi-squared of fit: 16.91 DOF: 20 RMS: 0.20 # Min/Max residuals: -0.37 0.42 # Exact a, adot, b, bdot, g, gdot: 1.118503E-05 1.183583E-02 -2.768114E-06 -7.599858E-04 1.636030E-02 -4.233884E-03 # Covariance matrix: 7.3042E-13 -9.6753E-13 -9.8384E-15 3.2986E-14 -4.5019E-13 -2.1847E-11 -9.6753E-13 1.9132E-12 2.4890E-14 -8.3426E-14 1.1320E-12 5.5269E-11 -9.8384E-15 2.4890E-14 4.7902E-13 -3.3093E-13 2.0906E-14 8.8557E-13 3.2986E-14 -8.3426E-14 -3.3093E-13 3.0136E-13 -7.2404E-14 -2.9914E-12 -4.5019E-13 1.1320E-12 2.0906E-14 -7.2404E-14 1.5948E-12 4.6667E-11 -2.1847E-11 5.5269E-11 8.8557E-13 -2.9914E-12 4.6667E-11 1.9689E-09 # lat0 lon0 xBary yBary zBary JD0 -0.996320 119.135356 -0.057382 -0.017220 -0.990812 2458871.829361 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 276.85955 +/- 0.549 Argument of Peri: 316.30213 +/- 0.269 Long of Asc Node: 284.32257 +/- 0.011 Inclination: 3.81730 +/- 0.003 Eccentricity: 0.34461194 +/- 0.0027 Semi-Major Axis: 57.82041867 +/- 0.1237 Time of Perihelion: 2495958.2205 +/- 214.0 Perihelion: 37.89481193 +/- 0.1737 Aphelion: 77.74602541 +/- 0.2264 Period (y) 439.6733 +/- 1.41 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.28420790 +/- 0.0023 Ecliptic Y 54.21155415 +/- 0.0041 Ecliptic Z -1.06303605 +/- 0.0001 Ecliptic XDOT -0.00137580 +/- 0.0000 Ecliptic YDOT -0.00158285 +/- 0.0000 Ecliptic ZDOT -0.00011507 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 62.10600533 +/- 0.0038 Geocenter to KBO 61.12355978 +/- 0.0047 # Hcoef: 7.42
The following table shows the complete astrometric record for 20BZ94. 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 (20BZ94) followed by the observatory code and reference code for the source of the astrometry.
2020 01 23.32856 08 04 14.881 +19 21 22.61 25.0r 20BZ94 568 C~5Jza 2020 01 23.53315 08 04 14.122 +19 21 24.59 25.1r 20BZ94 568 C~5Jza 2020 12 16.26026 08 09 07.712 +19 04 22.89 25.4r 20BZ94 304 C~5Jza 2020 12 17.27556 08 09 04.765 +19 04 31.09 25.2r 20BZ94 304 C~5Jza 2020 12 17.31773 08 09 04.657 +19 04 31.14 25.3r 20BZ94 304 C~5Jza 2021 01 15.17082 08 07 28.091 +19 09 03.86 20BZ94 304 C~5Jza 2021 01 16.15702 08 07 24.495 +19 09 14.09 20BZ94 304 C~5Jza 2021 03 17.10062 08 04 23.357 +19 18 19.95 25.4r 20BZ94 304 C~5Jza 2021 03 18.05710 08 04 21.679 +19 18 25.46 25.5r 20BZ94 304 C~5Jza 2021 12 02.32371 08 12 30.322 +18 51 27.11 25.3r 20BZ94 304 C~5Jza 2021 12 06.25939 08 12 21.527 +18 51 50.16 25.2r 20BZ94 304 C~5Jza 2021 12 07.27925 08 12 19.092 +18 51 56.25 25.4r 20BZ94 304 C~5Jza 2021 12 07.33687 08 12 18.952 +18 51 56.87 25.1r 20BZ94 304 C~5Jza
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 0.05 0.00 0.42
2 0.0006 -10.92 -0.02 -0.27 0.26
3 0.8978 4269.85 0.12 -131.61 -0.35
4 0.9006 4227.26 -0.15 -132.46 -0.15
5 0.9007 4225.76 0.15 -132.73 -0.37
6 0.9797 2829.97 0.03 -154.83 -0.10
7 0.9824 2777.99 -0.30 -155.52 -0.29
8 1.1465 154.93 0.19 -154.13 -0.09
9 1.1492 130.55 -0.11 -153.62 -0.02
10 1.8590 7245.89 -0.04 -273.02 0.02
11 1.8698 7118.86 0.12 -277.57 0.34
12 1.8726 7083.76 -0.01 -279.11 0.04
13 1.8727 7081.68 -0.04 -278.94 0.29
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.
20BZ94 quality flag:2 Type: SCATNEAR SCATNEAR 8:3EEEEE axisobj 58.172 58.523 57.836 ecceobj 0.337 0.345 0.330 incobj 3.785 3.785 3.785 qmin 37.662 37.406 37.847 qmax 79.709 80.783 79.201 amean 58.151 58.582 57.901 amin 57.440 57.861 57.120 amax 59.003 59.418 58.832 emean 0.339 0.349 0.335 emin 0.328 0.338 0.324 emax 0.352 0.360 0.346 imean 5.524 5.466 5.384 imin 5.150 5.026 5.215 imax 6.009 5.830 5.624 excite_mean 0.353 0.362 0.348 fracstop 1.000 1.000 1.000 cjmean 3.120 3.116 3.121 libcent 0 -180.0 -180.0 180.3 libamp 0 -180.0 -180.0 123.5 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 186.6 172.6 164.8 kozaiamp 179.9 179.9 180.0