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: 20BS168 # Created Wed Nov 27 02:11:00 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 57.00d # First observation: 2019/12/04 # Last observation: 2020/01/30 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.026090 -0.000000 0.005447 0.026072 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 6.40 DOF: 21 RMS: 0.12 # Min/Max residuals: -0.35 0.23 # Exact a, adot, b, bdot, g, gdot: 1.548542E-05 2.558356E-02 3.566266E-06 5.328066E-03 2.552286E-02 5.817691E-05 # Covariance matrix: 3.6246E-13 -2.1008E-12 -4.3851E-15 6.4700E-13 2.2892E-12 1.0403E-09 -2.1008E-12 7.7257E-09 -8.3740E-12 1.8100E-09 8.3622E-09 2.2898E-06 -4.3851E-15 -8.3740E-12 3.1715E-13 -4.3374E-12 -9.2511E-12 -2.5645E-09 6.4700E-13 1.8100E-09 -4.3374E-12 4.5932E-10 1.9883E-09 5.4894E-07 2.2892E-12 8.3622E-09 -9.2511E-12 1.9883E-09 9.1599E-09 2.5237E-06 1.0403E-09 2.2898E-06 -2.5645E-09 5.4894E-07 2.5237E-06 6.9842E-04 # lat0 lon0 xBary yBary zBary JD0 -1.176507 170.369568 0.981519 0.002926 0.141332 2458822.081291 # Heliocentric elements and errors Epoch: 2458820.5000 = 2019/12/03 Mean Anomaly: 325.53985 +/- 316.393 Argument of Peri: 31.57023 +/- 72.977 Long of Asc Node: 174.59903 +/- 0.135 Inclination: 11.80189 +/- 0.284 Eccentricity: 0.04273770 +/- 0.5977 Semi-Major Axis: 40.44704653 +/- 0.3992 Time of Perihelion: 2467814.3016 +/- 270489.5 Perihelion: 38.71843294 +/- 24.1768 Aphelion: 42.17566011 +/- 24.1774 Period (y) 257.2400 +/- 3.81 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.31322437 +/- 0.1448 Ecliptic Y 7.48917988 +/- 0.0246 Ecliptic Z -0.80437471 +/- 0.0030 Ecliptic XDOT -0.00046842 +/- 0.0028 Ecliptic YDOT -0.00270098 +/- 0.0005 Ecliptic ZDOT 0.00057106 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 39.04661311 +/- 0.1422 Geocenter to KBO 39.18056265 +/- 0.1469 # Hcoef: 9.40
The following table shows the complete astrometric record for 20BS168. 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 (20BS168) followed by the observatory code and reference code for the source of the astrometry.
2019 12 04.58049 11 22 45.17 +02 44 01.1 25.6i 20BS168 T09 C~8Mk3 2019 12 04.59260 11 22 45.19 +02 44 01.1 25.1i 20BS168 T09 C~8Mk3 2019 12 04.59528 11 22 45.19 +02 44 01.1 25.0i 20BS168 T09 C~8Mk3 2019 12 04.62206 11 22 45.23 +02 44 00.8 25.3i 20BS168 T09 C~8Mk3 2020 01 03.53938 11 22 52.42 +02 43 52.7 26.0g 20BS168 T09 C~8Mk3 2020 01 03.55129 11 22 52.41 +02 43 52.7 26.1g 20BS168 T09 C~8Mk3 2020 01 03.58511 11 22 52.36 +02 43 53.4 26.3g 20BS168 T09 C~8Mk3 2020 01 03.60659 11 22 52.31 +02 43 53.7 26.8g 20BS168 T09 C~8Mk3 2020 01 28.62634 11 21 54.64 +02 50 43.2 24.8i 20BS168 T09 C~8Mk3 2020 01 28.62906 11 21 54.64 +02 50 43.2 25.1i 20BS168 T09 C~8Mk3 2020 01 30.52689 11 21 48.27 +02 51 27.9 24.3z 20BS168 T09 C~8Mk3 2020 01 30.54325 11 21 48.21 +02 51 28.4 25.0z 20BS168 T09 C~8Mk3 2020 01 30.58148 11 21 48.09 +02 51 29.1 24.4z 20BS168 T09 C~8Mk3
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 0.08 0.00 -0.05
2 0.0000 0.28 0.03 0.12 0.05
3 0.0000 0.28 -0.04 0.12 0.05
4 0.0001 0.94 -0.07 0.08 -0.01
5 0.0820 103.20 0.12 34.92 -0.12
6 0.0821 103.06 0.23 34.87 -0.19
7 0.0821 102.10 -0.00 35.22 0.14
8 0.0822 101.29 -0.35 35.20 0.10
9 0.1507 -854.13 -0.10 72.66 -0.12
10 0.1507 -854.13 0.06 72.66 -0.12
11 0.1559 -959.45 -0.03 76.32 0.07
12 0.1560 -960.48 -0.11 76.43 0.15
13 0.1561 -962.40 0.18 76.36 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.