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: 13TS228 # Created Sun Nov 24 02:09:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 30 observations of 30 # Arc: 10.97y # First observation: 2013/10/13 # Last observation: 2024/10/01 # Chi-squared of fit: 7.57 DOF: 54 RMS: 0.09 # Min/Max residuals: -0.14 0.24 # Exact a, adot, b, bdot, g, gdot: 1.573766E-05 2.408325E-02 3.754084E-07 -1.972101E-04 2.440583E-02 1.719424E-04 # Covariance matrix: 2.4628E-13 -6.7157E-14 -1.3338E-15 4.0966E-16 1.0355E-13 -1.6239E-13 -6.7157E-14 3.3106E-14 3.8146E-16 -2.2919E-16 3.1144E-15 1.1019E-13 -1.3338E-15 3.8146E-16 1.4095E-13 -2.1637E-14 -2.4262E-15 1.1231E-15 4.0966E-16 -2.2919E-16 -2.1637E-14 5.0756E-15 1.0402E-16 -8.8117E-16 1.0355E-13 3.1144E-15 -2.4262E-15 1.0402E-16 3.7569E-13 6.9460E-14 -1.6239E-13 1.1019E-13 1.1231E-15 -8.8117E-16 6.9460E-14 4.4186E-13 # lat0 lon0 xBary yBary zBary JD0 -1.511158 6.317722 -0.229151 -0.025487 -0.970411 2456578.612868 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 16.26301 +/- 0.053 Argument of Peri: 235.17187 +/- 0.057 Long of Asc Node: 114.01064 +/- 0.006 Inclination: 1.54675 +/- 0.000 Eccentricity: 0.03565318 +/- 0.0001 Semi-Major Axis: 43.42641632 +/- 0.0046 Time of Perihelion: 2451856.4789 +/- 15.3 Perihelion: 41.87812659 +/- 0.0055 Aphelion: 44.97470605 +/- 0.0058 Period (y) 286.1799 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.64987881 +/- 0.0010 Ecliptic Y 4.84491180 +/- 0.0001 Ecliptic Z -1.08056224 +/- 0.0000 Ecliptic XDOT -0.00028488 +/- 0.0000 Ecliptic YDOT 0.00268587 +/- 0.0000 Ecliptic ZDOT -0.00002248 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.94463777 +/- 0.0010 Geocenter to KBO 40.97384543 +/- 0.0010 # Hcoef: 7.63
The following table shows the complete astrometric record for 13TS228. 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 (13TS228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.11209 00 25 35.566 +01 07 15.08 23.0i 13TS228 W84 C~52Rg 2013 10 28.07505 00 24 34.076 +01 00 50.13 23.8r 13TS228 W84 C~52Rg 2013 11 22.09533 00 23 15.815 +00 53 02.51 23.2r 13TS228 W84 C~52Rg 2013 11 22.09673 00 23 15.800 +00 53 02.67 23.6i 13TS228 W84 C~52Rg 2013 11 23.10780 00 23 13.519 +00 52 49.68 23.8r 13TS228 W84 C~52Rg 2013 11 23.10919 00 23 13.517 +00 52 49.60 24.6i 13TS228 W84 C~52Rg 2014 10 28.18822 00 29 38.900 +01 32 53.26 23.8r 13TS228 W84 C~52Rg 2016 09 09.28058 00 43 16.156 +02 58 51.61 23.7r 13TS228 W84 C~52Rg 2016 09 09.28195 00 43 16.141 +02 58 51.65 23.3i 13TS228 W84 C~52Rg 2016 11 08.14374 00 39 03.803 +02 32 14.46 23.3i 13TS228 W84 C~52Rg 2016 11 18.08134 00 38 32.142 +02 29 07.87 23.5r 13TS228 W84 C~52Rg 2016 11 26.10227 00 38 11.400 +02 27 10.03 23.8r 13TS228 W84 C~52Rg 2016 11 26.10867 00 38 11.380 +02 27 09.92 23.6i 13TS228 W84 C~52Rg 2017 08 28.27853 00 49 05.022 +03 35 29.48 22.9r 13TS228 W84 C~52Rg 2017 09 27.22811 00 47 05.728 +03 22 24.55 23.6r 13TS228 W84 C~52Rg 2017 10 22.19674 00 45 15.069 +03 10 47.00 23.3z 13TS228 W84 C~52Rg 2018 10 10.23758 00 51 13.698 +03 48 01.33 23.6r 13TS228 W84 C~52Rg 2018 10 18.19756 00 50 38.259 +03 44 20.17 23.5z 13TS228 W84 C~52Rg 2018 10 18.19894 00 50 38.256 +03 44 20.18 23.7i 13TS228 W84 C~52Rg 2018 11 26.07249 00 48 16.444 +03 30 13.07 23.4r 13TS228 W84 C~52Rg 2018 11 26.07387 00 48 16.445 +03 30 13.04 23.9g 13TS228 W84 C~52Rg 2019 11 01.28144 00 54 44.60 +04 09 53.7 25.4g 13TS228 T09 C~7bIF 2019 11 01.32333 00 54 44.43 +04 09 52.6 24.6g 13TS228 T09 C~7bIF 2019 11 01.33611 00 54 44.37 +04 09 52.4 24.8g 13TS228 T09 C~7bIF 2019 11 01.34476 00 54 44.35 +04 09 52.0 24.8g 13TS228 T09 C~7bIF 2019 11 01.42395 00 54 44.01 +04 09 50.0 25.0g 13TS228 T09 C~7bIF 2019 11 01.42606 00 54 44.00 +04 09 50.2 25.0g 13TS228 T09 C~7bIF 2024 10 01.352720 01 22 32.092 +06 58 56.62 23.7G 13TS228 G37 C~8GzL 2024 10 01.396240 01 22 31.895 +06 58 55.28 13TS228 G37 C~8GzL 2024 10 01.439870 01 22 31.712 +06 58 54.26 13TS228 G37 C~8GzL
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 0.02 0.00 -0.11
2 0.0410 0.00 -0.14 0.00 -0.03
3 0.1095 0.00 0.12 0.00 -0.03
4 0.1095 0.00 -0.05 0.00 0.15
5 0.1122 0.00 -0.04 0.00 -0.02
6 0.1122 0.00 -0.02 0.00 -0.08
7 1.0406 0.00 -0.03 0.00 0.24
8 2.9081 0.00 0.16 0.00 -0.06
9 2.9081 0.00 0.02 0.00 0.02
10 3.0720 0.00 0.04 0.00 0.08
11 3.0992 0.00 -0.03 0.00 0.03
12 3.1211 0.00 0.14 0.00 -0.08
13 3.1211 0.00 0.07 0.00 -0.11
14 3.8745 0.00 -0.04 0.00 -0.06
15 3.9565 0.00 0.03 0.00 -0.12
16 4.0249 0.00 0.12 0.00 -0.03
17 4.9914 0.00 -0.04 0.00 0.16
18 5.0132 0.00 -0.06 0.00 0.02
19 5.0132 0.00 -0.02 0.00 0.07
20 5.1197 0.00 0.04 0.00 -0.04
21 5.1197 0.00 0.11 0.00 -0.05
22 6.0511 0.00 -0.07 0.00 0.09
23 6.0512 0.00 -0.03 0.00 0.01
24 6.0513 0.00 -0.14 0.00 0.12
25 6.0513 0.00 0.10 0.00 -0.07
26 6.0515 0.00 -0.10 0.00 -0.13
27 6.0515 0.00 -0.12 0.00 0.12
28 10.9685 0.00 -0.01 0.00 0.05
29 10.9686 0.00 -0.05 0.00 -0.13
30 10.9687 0.00 0.12 0.00 0.02
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.
13TS228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.686 43.686 43.686 ecceobj 0.042 0.042 0.042 incobj 1.546 1.546 1.546 qmin 40.838 40.868 40.865 qmax 46.241 46.167 46.227 amean 43.447 43.445 43.447 amin 43.111 43.106 43.111 amax 43.788 43.783 43.787 emean 0.040 0.039 0.040 emin 0.021 0.020 0.021 emax 0.056 0.055 0.056 imean 1.217 1.216 1.221 imin 0.176 0.176 0.176 imax 1.838 1.835 1.847 excite_mean 0.046 0.045 0.046 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 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 180.8 180.7 181.3 kozaiamp 180.0 179.9 179.9