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: 20BH157 # Created Tue Apr 1 01:11:18 2025 # Orbit generated from Bernstein formalism # Fitting 7 observations of 7 # Arc: 1.22y # First observation: 2020/01/23 # Last observation: 2021/04/12 Preliminary a, adot, b, bdot, g, gdot: -0.000007 0.013599 -0.000002 -0.002829 0.017874 0.000000 # Chi-squared of fit: 5.26 DOF: 8 RMS: 0.15 # Min/Max residuals: -0.32 0.28 # Exact a, adot, b, bdot, g, gdot: 1.173605E-05 1.363171E-02 -1.668694E-06 -2.885855E-03 1.793711E-02 4.588196E-03 # Covariance matrix: 7.3785E-13 5.1296E-13 2.6180E-14 -2.7677E-13 1.5079E-12 7.4329E-11 5.1296E-13 2.9127E-12 7.8148E-14 -9.6776E-13 3.9129E-12 2.3942E-10 2.6180E-14 7.8148E-14 4.0792E-13 -5.7136E-13 1.6552E-13 4.2779E-11 -2.7677E-13 -9.6776E-13 -5.7136E-13 5.3914E-12 -2.3671E-12 -9.1390E-10 1.5079E-12 3.9129E-12 1.6552E-13 -2.3671E-12 6.9697E-12 5.4644E-10 7.4329E-11 2.3942E-10 4.2779E-11 -9.1390E-10 5.4644E-10 1.7868E-07 # lat0 lon0 xBary yBary zBary JD0 13.346857 128.840726 0.109865 0.227747 -0.959882 2458871.865351 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 80.67843 +/- 4.327 Argument of Peri: 15.21919 +/- 2.108 Long of Asc Node: 355.91375 +/- 0.010 Inclination: 17.62500 +/- 0.003 Eccentricity: 0.31455394 +/- 0.0235 Semi-Major Axis: 54.18179649 +/- 0.8843 Time of Perihelion: 2426224.2361 +/- 1557.9 Perihelion: 37.13869868 +/- 1.4094 Aphelion: 71.22489429 +/- 1.7234 Period (y) 398.8304 +/- 9.76 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.54955990 +/- 0.0050 Ecliptic Y 43.08018761 +/- 0.0062 Ecliptic Z 12.86958978 +/- 0.0019 Ecliptic XDOT -0.00210346 +/- 0.0000 Ecliptic YDOT -0.00069276 +/- 0.0000 Ecliptic ZDOT -0.00026715 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 56.70274240 +/- 0.0056 Geocenter to KBO 55.75034857 +/- 0.0082 # Hcoef: 6.54
The following table shows the complete astrometric record for 20BH157. 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 (20BH157) followed by the observatory code and reference code for the source of the astrometry.
2020 01 23.36455 09 01 16.194 +30 52 50.95 23.8r 20BH157 T09 C~7zrO 2020 01 23.57248 09 01 15.297 +30 52 54.27 23.7r 20BH157 T09 C~7zrO 2020 02 25.384448 08 58 58.225 +30 59 23.04 24.1G 20BH157 T12 C~7zrO 2020 02 25.472665 08 58 57.879 +30 59 23.59 24.1G 20BH157 T12 C~7zrO 2021 03 18.08840 09 00 58.954 +30 37 29.11 24.0r 20BH157 304 C~7zrO 2021 03 18.13372 09 00 58.821 +30 37 29.27 24.2r 20BH157 304 C~7zrO 2021 04 12.03340 09 00 07.628 +30 34 50.45 24.0r 20BH157 304 C~7zrO
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 0.06 0.00 -0.18
2 0.0006 -12.01 -0.02 -0.18 -0.32
3 0.0904 -1812.87 -0.03 -136.16 0.27
4 0.0906 -1817.29 -0.01 -136.91 0.28
5 1.1491 55.01 -0.01 -946.66 -0.11
6 1.1493 53.32 -0.08 -947.00 0.11
7 1.2174 -533.47 0.09 -1290.16 -0.04
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.
20BH157 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.848 57.863 52.684 ecceobj 0.318 0.383 0.256 incobj 17.623 17.623 17.622 qmin 36.244 34.401 38.088 qmax 73.812 81.813 67.472 amean 54.630 57.556 52.463 amin 54.065 56.910 51.977 amax 55.341 58.427 53.099 emean 0.319 0.384 0.257 emin 0.303 0.366 0.242 emax 0.335 0.402 0.272 imean 17.893 17.699 17.935 imin 17.367 16.738 17.523 imax 18.396 18.567 18.317 excite_mean 0.443 0.490 0.401 fracstop 1.000 1.000 1.000 cjmean 2.981 2.956 3.001 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 166.7 165.8 163.1 kozaiamp 180.0 180.0 180.0