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: 13TO187 # Created Fri Apr 26 01:15:22 2024 # Orbit generated from Bernstein formalism # Fitting 38 observations of 38 # Arc: 3.08y # First observation: 2013/09/29 # Last observation: 2016/10/28 Preliminary a, adot, b, bdot, g, gdot: -0.000091 0.037548 -0.000022 0.003084 0.031871 0.000000 # Chi-squared of fit: 8.21 DOF: 70 RMS: 0.08 # Min/Max residuals: -0.16 0.26 # Exact a, adot, b, bdot, g, gdot: 1.930914E-05 3.715814E-02 8.395796E-07 3.058786E-03 3.149013E-02 -3.030582E-03 # Covariance matrix: 2.1578E-13 -1.3485E-13 2.7607E-15 -6.4129E-15 4.8800E-14 -5.9132E-13 -1.3485E-13 4.6863E-13 -1.8870E-14 3.8902E-14 3.9239E-13 3.8739E-12 2.7607E-15 -1.8870E-14 1.5142E-13 -6.3818E-14 -1.7911E-14 -1.6875E-13 -6.4129E-15 3.8902E-14 -6.3818E-14 3.7826E-14 3.5367E-14 3.4712E-13 4.8800E-14 3.9239E-13 -1.7911E-14 3.5367E-14 6.0187E-13 3.6240E-12 -5.9132E-13 3.8739E-12 -1.6875E-13 3.4712E-13 3.6240E-12 3.4618E-11 # lat0 lon0 xBary yBary zBary JD0 -8.138265 23.538255 0.301749 -0.135132 -0.945759 2456564.831848 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 337.21682 +/- 0.027 Argument of Peri: 333.89149 +/- 0.043 Long of Asc Node: 82.44102 +/- 0.001 Inclination: 9.15603 +/- 0.000 Eccentricity: 0.19264890 +/- 0.0001 Semi-Major Axis: 39.41176838 +/- 0.0047 Time of Perihelion: 2462279.8835 +/- 6.8 Perihelion: 31.81913456 +/- 0.0064 Aphelion: 47.00440221 +/- 0.0076 Period (y) 247.4270 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.81621757 +/- 0.0007 Ecliptic Y 12.66229759 +/- 0.0003 Ecliptic Z -4.49546001 +/- 0.0001 Ecliptic XDOT -0.00150098 +/- 0.0000 Ecliptic YDOT 0.00287138 +/- 0.0000 Ecliptic ZDOT 0.00030070 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.70397179 +/- 0.0007 Geocenter to KBO 31.75598498 +/- 0.0008 # Hcoef: 8.05
The following table shows the complete astrometric record for 13TO187. 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 (13TO187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.33107 01 39 07.943 +01 34 07.42 23.5g 13TO187 W84 C~4yRD 2013 10 03.24395 01 38 47.011 +01 31 54.76 23.8g 13TO187 W84 C~4yRD 2013 10 03.24395 01 38 47.01 +01 31 54.8 24.1g 13TO187 W84 C~3clQ 2013 11 04.06065 01 35 48.05 +01 15 51.1 23.3r 13TO187 W84 C~3clQ 2013 11 04.12406 01 35 47.70 +01 15 49.5 13TO187 W84 C~3clQ 2013 11 04.20651 01 35 47.24 +01 15 47.5 13TO187 W84 C~3clQ 2014 10 21.27213 01 44 49.369 +02 18 52.13 23.1r 13TO187 W84 C~4yRD 2014 10 21.27213 01 44 49.37 +02 18 52.1 23.3r 13TO187 W84 C~3clQ 2014 10 21.27352 01 44 49.351 +02 18 51.96 23.6g 13TO187 W84 C~4yRD 2014 10 21.27352 01 44 49.35 +02 18 52.0 23.7g 13TO187 W84 C~3clQ 2014 10 21.27489 01 44 49.348 +02 18 52.01 22.9i 13TO187 W84 C~4yRD 2014 10 21.27489 01 44 49.35 +02 18 52.0 23.0i 13TO187 W84 C~3clQ 2014 10 28.22157 01 44 09.448 +02 15 28.25 23.3r 13TO187 W84 C~4yRD 2014 10 28.22157 01 44 09.45 +02 15 28.3 23.2r 13TO187 W84 C~3clQ 2014 10 28.22734 01 44 09.410 +02 15 27.95 23.7g 13TO187 W84 C~4yRD 2014 12 13.11163 01 40 37.429 +02 03 13.06 22.7z 13TO187 W84 C~4yRD 2015 09 04.32293 01 56 25.060 +03 40 15.61 22.7z 13TO187 W84 C~4yRD 2015 11 06.17683 01 51 05.148 +03 08 16.34 23.1r 13TO187 W84 C~4yRD 2015 11 06.17683 01 51 05.15 +03 08 16.3 23.2r 13TO187 W84 C~3clQ 2015 11 06.17819 01 51 05.144 +03 08 16.46 23.0i 13TO187 W84 C~4yRD 2015 11 06.17819 01 51 05.14 +03 08 16.5 23.1i 13TO187 W84 C~3clQ 2015 11 06.17955 01 51 05.125 +03 08 16.59 23.9g 13TO187 W84 C~4yRD 2015 11 06.17955 01 51 05.12 +03 08 16.6 23.9g 13TO187 W84 C~3clQ 2015 12 18.11041 01 48 02.263 +02 59 09.17 22.7z 13TO187 W84 C~4yRD 2015 12 18.11179 01 48 02.276 +02 59 09.24 23.3i 13TO187 W84 C~4yRD 2015 12 18.11179 01 48 02.28 +02 59 09.2 23.3i 13TO187 W84 C~3clQ 2016 09 09.29496 02 03 51.147 +04 33 47.86 23.1r 13TO187 W84 C~4yRD 2016 09 09.29496 02 03 51.15 +04 33 47.9 23.2r 13TO187 W84 C~3clQ 2016 09 09.29635 02 03 51.145 +04 33 47.77 22.8i 13TO187 W84 C~4yRD 2016 09 09.29635 02 03 51.14 +04 33 47.8 22.8i 13TO187 W84 C~3clQ 2016 09 09.29774 02 03 51.137 +04 33 47.84 23.0g 13TO187 W84 C~4yRD 2016 09 09.29774 02 03 51.13 +04 33 47.8 23.3g 13TO187 W84 C~3clQ 2016 10 23.20859 02 00 09.874 +04 11 07.91 22.6r 13TO187 W84 C~4yRD 2016 10 23.20859 02 00 09.88 +04 11 07.8 22.9r 13TO187 W84 C~3clQ 2016 10 28.23573 01 59 40.525 +04 08 41.75 22.5i 13TO187 W84 C~4yRD 2016 10 28.23573 01 59 40.52 +04 08 41.8 22.5i 13TO187 W84 C~3clQ 2016 10 28.23711 01 59 40.519 +04 08 41.57 23.3g 13TO187 W84 C~4yRD 2016 10 28.23711 01 59 40.52 +04 08 41.6 23.5g 13TO187 W84 C~3clQ
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 -0.13 0.00 0.14
2 0.0107 -340.63 -0.03 -8.96 -0.03
3 0.0107 -340.63 -0.03 -9.01 -0.07
4 0.0978 -3191.08 0.06 73.37 -0.02
5 0.0980 -3196.56 0.06 73.79 -0.06
6 0.0982 -3203.71 0.03 74.45 -0.02
7 1.0594 5746.33 0.05 634.83 0.04
8 1.0594 5746.33 0.05 634.79 0.00
9 1.0594 5746.02 -0.14 634.81 0.01
10 1.0594 5746.02 -0.14 634.77 -0.03
11 1.0594 5746.02 -0.01 634.81 0.01
12 1.0594 5745.99 -0.04 634.83 0.03
13 1.0784 5114.43 0.15 662.80 0.04
14 1.0784 5114.39 0.10 662.77 0.01
15 1.0784 5113.75 -0.01 662.70 -0.10
16 1.2041 1885.95 0.05 1136.11 0.03
17 1.9302 17267.97 0.13 1406.51 -0.11
18 2.1022 12081.37 -0.04 1351.31 -0.16
19 2.1022 12081.36 -0.06 1351.36 -0.11
20 2.1023 12081.30 0.01 1351.55 0.07
21 2.1023 12081.35 0.05 1351.49 0.01
22 2.1023 12081.06 -0.11 1351.75 0.26
23 2.1023 12081.13 -0.05 1351.71 0.23
24 2.2171 9322.85 -0.16 1836.33 -0.00
25 2.2171 9323.10 0.14 1836.27 -0.09
26 2.2171 9323.06 0.10 1836.33 -0.03
27 2.9458 24729.08 0.08 2002.64 -0.00
28 2.9458 24729.03 0.02 2002.62 -0.03
29 2.9458 24728.90 -0.01 2002.60 -0.04
30 2.9458 24728.96 0.05 2002.55 -0.09
31 2.9458 24728.88 0.05 2002.65 0.03
32 2.9458 24728.76 -0.06 2002.65 0.03
33 3.0661 21107.51 -0.01 1922.66 -0.05
34 3.0661 21107.46 -0.06 1922.80 0.09
35 3.0798 20640.43 -0.06 1944.76 0.12
36 3.0798 20640.48 -0.01 1944.69 0.04
37 3.0798 20640.36 -0.00 1944.57 -0.08
38 3.0798 20640.33 -0.03 1944.55 -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.
13TO187 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.620 39.631 39.608 ecceobj 0.195 0.195 0.195 incobj 9.161 9.161 9.160 qmin 31.457 31.454 31.451 qmax 48.112 48.185 48.178 amean 39.457 39.457 39.457 amin 38.944 38.961 38.946 amax 40.022 40.025 40.027 emean 0.186 0.186 0.187 emin 0.169 0.167 0.170 emax 0.205 0.204 0.204 imean 7.542 7.578 7.484 imin 6.949 6.978 6.888 imax 8.093 8.142 8.091 excite_mean 0.228 0.228 0.228 fracstop 1.000 1.000 1.000 cjmean 2.993 2.993 2.993 libcent 0 179.6 180.4 180.3 libamp 0 110.2 108.9 113.4 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 190.6 188.8 186.9 kozaiamp 179.9 179.9 179.9