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: 20BR60 # Created Tue Apr 1 01:11:18 2025 # Orbit generated from Bernstein formalism # Fitting 6 observations of 6 # Arc: 0.97y # First observation: 2020/01/26 # Last observation: 2021/01/16 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.011207 -0.000001 0.000690 0.016134 0.000000 # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 3.14 DOF: 7 RMS: 0.13 # Min/Max residuals: -0.18 0.19 # Exact a, adot, b, bdot, g, gdot: 1.053931E-05 1.113958E-02 1.173832E-08 6.873425E-04 1.621137E-02 -3.977000E-03 # Covariance matrix: 1.5283E-12 8.3681E-11 -1.0661E-14 4.9768E-12 9.1899E-11 7.4277E-09 8.3681E-11 8.9712E-09 -1.1381E-12 5.2859E-10 9.7673E-09 7.8899E-07 -1.0661E-14 -1.1381E-12 7.3254E-13 -8.5200E-13 -1.2477E-12 -1.0031E-10 4.9768E-12 5.2859E-10 -8.5200E-13 3.2412E-11 5.7570E-10 4.6497E-08 9.1899E-11 9.7673E-09 -1.2477E-12 5.7570E-10 1.0647E-08 8.5942E-07 7.4277E-09 7.8899E-07 -1.0031E-10 4.6497E-08 8.5942E-07 6.9406E-05 # lat0 lon0 xBary yBary zBary JD0 -6.274728 121.697225 -0.062149 -0.108266 -0.984992 2458874.638531 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 263.65333 +/- 101.291 Argument of Peri: 73.43912 +/- 60.037 Long of Asc Node: 181.63813 +/- 0.503 Inclination: 7.13131 +/- 0.037 Eccentricity: 0.36837411 +/- 0.4060 Semi-Major Axis: 54.11117104 +/- 19.2614 Time of Perihelion: 2497780.6606 +/- 35238.6 Perihelion: 34.17801649 +/- 25.1111 Aphelion: 74.04432560 +/- 34.3109 Period (y) 398.0509 +/- 212.54 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.78714352 +/- 0.2050 Ecliptic Y 52.97224639 +/- 0.3321 Ecliptic Z -6.74199336 +/- 0.0429 Ecliptic XDOT -0.00124827 +/- 0.0007 Ecliptic YDOT -0.00154350 +/- 0.0012 Ecliptic ZDOT 0.00018857 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 62.66187152 +/- 0.3006 Geocenter to KBO 61.68509345 +/- 0.3926 # Hcoef: 6.91
The following table shows the complete astrometric record for 20BR60. 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 (20BR60) followed by the observatory code and reference code for the source of the astrometry.
2020 01 26.13773 08 10 02.992 +13 39 31.54 25.0r 20BR60 807 C~4Zh3 2020 01 27.17729 08 09 59.364 +13 39 43.76 25.0r 20BR60 807 C~4Zh3 2020 12 16.25246 08 14 49.585 +13 27 23.64 24.6r 20BR60 304 C~4Zh3 2020 12 17.26821 08 14 46.842 +13 27 29.45 24.5r 20BR60 304 C~4Zh3 2021 01 15.15796 08 13 14.610 +13 31 34.65 20BR60 304 C~4Zh3 2021 01 16.13943 08 13 11.207 +13 31 45.64 20BR60 304 C~4Zh3
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 0.07 0.00 0.14
2 0.0028 -54.27 -0.07 0.56 -0.14
3 0.8901 4237.97 -0.18 198.41 -0.14
4 0.8929 4197.64 0.19 195.28 0.16
5 0.9720 2830.90 -0.06 139.83 -0.12
6 0.9747 2780.06 0.06 139.72 0.10
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.
20BR60 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