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: 13TH172 # Created Sat Feb 22 02:09:46 2025 # Orbit generated from Bernstein formalism # Fitting 36 observations of 36 # Arc: 4.94y # First observation: 2013/10/03 # Last observation: 2018/09/11 Preliminary a, adot, b, bdot, g, gdot: 0.000120 0.036079 0.000080 0.006289 0.030211 0.000000 # Chi-squared of fit: 18.42 DOF: 66 RMS: 0.13 # Min/Max residuals: -0.37 0.30 # Exact a, adot, b, bdot, g, gdot: 2.027473E-05 3.675029E-02 2.675223E-06 6.433352E-03 3.120142E-02 5.261343E-03 # Covariance matrix: 3.5922E-13 -2.2710E-13 1.7849E-14 -2.5426E-14 9.0983E-15 -8.7147E-13 -2.2710E-13 2.7496E-13 -3.2520E-14 4.4584E-14 1.4466E-13 1.5378E-12 1.7849E-14 -3.2520E-14 2.3439E-13 -7.4510E-14 -2.8631E-14 -2.1015E-13 -2.5426E-14 4.4584E-14 -7.4510E-14 3.3147E-14 3.5886E-14 2.8463E-13 9.0983E-15 1.4466E-13 -2.8631E-14 3.5886E-14 4.3906E-13 1.2572E-12 -8.7147E-13 1.5378E-12 -2.1015E-13 2.8463E-13 1.2572E-12 9.8373E-12 # lat0 lon0 xBary yBary zBary JD0 -6.181693 11.809919 0.036522 -0.107586 -0.994222 2456568.605858 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 23.65077 +/- 0.011 Argument of Peri: 288.41970 +/- 0.020 Long of Asc Node: 42.68197 +/- 0.001 Inclination: 11.54708 +/- 0.000 Eccentricity: 0.25748631 +/- 0.0001 Semi-Major Axis: 42.35793686 +/- 0.0044 Time of Perihelion: 2449945.2934 +/- 2.8 Perihelion: 31.45134801 +/- 0.0046 Aphelion: 53.26452571 +/- 0.0064 Period (y) 275.6833 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.17475866 +/- 0.0007 Ecliptic Y 6.69335538 +/- 0.0001 Ecliptic Z -3.45111284 +/- 0.0001 Ecliptic XDOT -0.00015739 +/- 0.0000 Ecliptic YDOT 0.00326151 +/- 0.0000 Ecliptic ZDOT 0.00051165 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.04430785 +/- 0.0006 Geocenter to KBO 32.04982700 +/- 0.0007 # Hcoef: 7.59
The following table shows the complete astrometric record for 13TH172. 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 (13TH172) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.10508 00 53 05.01 -01 01 23.7 22.9g 13TH172 W84 C~3clP 2013 10 11.21954 00 52 19.384 -01 05 35.68 23.5g 13TH172 W84 C~4yR9 2013 10 29.04626 00 50 42.769 -01 13 35.51 24.1g 13TH172 W84 C~4yR9 2014 10 02.29685 01 00 19.409 +00 08 20.25 22.5r 13TH172 W84 C~4yR9 2014 10 02.29821 01 00 19.406 +00 08 20.12 22.1i 13TH172 W84 C~4yR9 2014 10 28.21009 00 57 56.342 -00 04 08.39 22.8r 13TH172 W84 C~4yR9 2014 11 13.13399 00 56 39.364 -00 09 35.30 23.0r 13TH172 W84 C~4yR9 2014 11 18.157512 00 56 18.44 -00 10 48.2 20.2z 13TH172 W84 C~35ba 2015 10 10.37404 01 06 39.32 +01 12 39.0 22.9r 13TH172 T09 C~8cPU 2015 10 10.38684 01 06 39.24 +01 12 38.3 22.7r 13TH172 T09 C~8cPU 2015 10 10.41708 01 06 39.08 +01 12 37.8 22.8r 13TH172 T09 C~8cPU 2016 08 16.38990 01 17 39.684 +02 45 16.00 22.9i 13TH172 W84 C~4yR9 2016 08 16.39126 01 17 39.673 +02 45 16.03 22.5z 13TH172 W84 C~4yR9 2016 08 26.33098 01 17 10.391 +02 41 40.48 23.1r 13TH172 W84 C~4yR9 2016 08 30.359039 01 16 56.04 +02 40 01.6 23.8g 13TH172 W84 C~35ba 2016 08 30.35956 01 16 56.042 +02 40 01.36 23.9g 13TH172 W84 C~4yR9 2016 10 23.220556 01 12 22.70 +02 13 36.7 23.1r 13TH172 W84 C~35ba 2016 10 23.22109 01 12 22.706 +02 13 36.61 23.4r 13TH172 W84 C~4yR9 2016 10 29.19312 01 11 50.457 +02 10 59.67 22.0i 13TH172 W84 C~4yR9 2016 10 29.19449 01 11 50.436 +02 10 59.49 22.8r 13TH172 W84 C~4yR9 2016 10 29.19587 01 11 50.429 +02 10 59.61 24.0g 13TH172 W84 C~4yR9 2016 11 08.176921 01 10 59.52 +02 07 08.7 22.2z 13TH172 W84 C~35ba 2016 11 08.17745 01 10 59.540 +02 07 08.54 22.1z 13TH172 W84 C~4yR9 2017 08 22.395556 01 24 13.60 +03 49 01.1 23.0r 13TH172 W84 C~35ba 2017 08 22.39609 01 24 13.616 +03 49 01.23 22.5r 13TH172 W84 C~4yR9 2017 08 22.410926 01 24 13.55 +03 49 00.9 23.0i 13TH172 W84 C~35ba 2017 08 22.41145 01 24 13.557 +03 49 00.78 22.8i 13TH172 W84 C~4yR9 2017 08 27.37623 01 23 58.246 +03 47 14.06 24.2g 13TH172 W84 C~4yR9 2017 08 28.367766 01 23 54.94 +03 46 51.2 21.7i 13TH172 W84 C~35ba 2017 08 28.375972 01 23 54.91 +03 46 51.3 22.4r 13TH172 W84 C~35ba 2017 08 28.37650 01 23 54.907 +03 46 51.24 22.4r 13TH172 W84 C~4yR9 2017 09 14.325903 01 22 46.33 +03 39 32.3 22.9z 13TH172 W84 C~35ba 2017 09 14.32643 01 22 46.335 +03 39 32.34 22.4z 13TH172 W84 C~4yR9 2017 09 18.277025 01 22 27.57 +03 37 38.8 23.9g 13TH172 W84 C~35ba 2017 09 18.27755 01 22 27.573 +03 37 38.71 23.9g 13TH172 W84 C~4yR9 2018 09 11.35161 01 29 49.714 +04 46 16.09 22.1i 13TH172 W84 C~4yR9
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 -0.34 0.00 0.12
2 0.0222 -728.39 -0.06 34.36 -0.19
3 0.0710 -2249.89 0.30 156.45 -0.23
4 0.9971 7634.46 -0.00 1315.62 0.06
5 0.9971 7634.37 0.03 1315.52 -0.05
6 1.0680 5364.05 0.06 1462.13 0.02
7 1.1116 4172.60 -0.03 1610.84 -0.06
8 1.1254 3855.01 0.21 1665.95 0.16
9 2.0185 14406.22 -0.03 2653.88 0.11
10 2.0186 14404.83 -0.25 2653.70 -0.14
11 2.0187 14402.41 0.10 2654.18 0.18
12 2.8700 25799.43 0.03 3941.22 -0.01
13 2.8701 25799.29 -0.05 3941.32 0.08
14 2.8973 25303.68 0.02 3912.06 -0.08
15 2.9083 25063.56 0.12 3904.03 0.21
16 2.9083 25063.49 0.08 3903.79 -0.02
17 3.0558 20618.55 -0.23 4030.42 0.09
18 3.0558 20618.60 -0.13 4030.31 -0.03
19 3.0721 20107.24 0.21 4073.29 0.04
20 3.0721 20106.87 -0.03 4073.25 -0.01
21 3.0721 20106.82 0.04 4073.40 0.13
22 3.0994 19306.66 -0.20 4156.92 0.19
23 3.0994 19306.88 0.06 4156.65 -0.09
24 3.8858 32863.52 -0.09 5208.21 0.02
25 3.8858 32863.80 0.21 5208.24 0.05
26 3.8858 32862.73 -0.11 5208.31 0.15
27 3.8858 32862.78 -0.04 5208.16 0.00
28 3.8994 32603.73 -0.03 5197.63 -0.03
29 3.9022 32547.87 0.02 5195.54 -0.37
30 3.9022 32547.49 0.11 5195.80 -0.09
31 3.9022 32547.42 0.08 5195.77 -0.13
32 3.9486 31403.86 -0.13 5185.44 -0.04
33 3.9486 31403.94 0.00 5185.45 -0.03
34 3.9594 31093.94 0.02 5188.83 0.07
35 3.9594 31093.95 0.07 5188.73 -0.03
36 4.9398 39013.48 -0.01 6474.08 -0.05
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.
13TH172 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.639 42.654 42.625 ecceobj 0.263 0.263 0.263 incobj 11.539 11.539 11.539 qmin 30.339 30.354 30.360 qmax 55.018 55.004 54.929 amean 42.326 42.326 42.326 amin 41.868 41.851 41.836 amax 42.880 42.898 42.884 emean 0.263 0.260 0.265 emin 0.238 0.221 0.245 emax 0.284 0.283 0.283 imean 10.152 10.440 10.017 imin 9.316 9.565 9.233 imax 11.696 12.950 11.096 excite_mean 0.317 0.317 0.317 fracstop 1.000 1.000 1.000 cjmean 2.963 2.963 2.963 libcent 0 179.1 179.7 179.7 libamp 0 80.7 85.5 78.3 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 165.9 146.3 176.0 kozaiamp 180.0 180.0 180.0