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: 13TP187 # Created Wed Dec 25 02:09:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 8.11y # First observation: 2013/10/03 # Last observation: 2021/11/11 # Chi-squared of fit: 9.22 DOF: 44 RMS: 0.11 # Min/Max residuals: -0.22 0.29 # Exact a, adot, b, bdot, g, gdot: 1.603929E-05 2.783570E-02 -9.338725E-06 -1.605079E-02 2.623380E-02 4.310764E-03 # Covariance matrix: 3.8912E-13 -1.0194E-13 -5.6193E-14 4.3104E-14 2.0647E-13 -3.4215E-13 -1.0194E-13 6.9086E-14 4.2564E-14 -3.7070E-14 9.8986E-15 2.9973E-13 -5.6193E-14 4.2564E-14 2.1770E-13 -6.1290E-14 -6.9538E-15 2.1444E-13 4.3104E-14 -3.7070E-14 -6.1290E-14 3.2608E-14 -3.9863E-15 -1.8658E-13 2.0647E-13 9.8986E-15 -6.9538E-15 -3.9863E-15 3.7616E-13 4.3192E-14 -3.4215E-13 2.9973E-13 2.1444E-13 -1.8658E-13 4.3192E-14 1.5085E-12 # lat0 lon0 xBary yBary zBary JD0 -9.031180 26.824508 0.292000 -0.150128 -0.945251 2456568.746148 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 5.59651 +/- 0.003 Argument of Peri: 176.55941 +/- 0.006 Long of Asc Node: 191.55485 +/- 0.000 Inclination: 31.18119 +/- 0.000 Eccentricity: 0.52292120 +/- 0.0001 Semi-Major Axis: 80.07968649 +/- 0.0199 Time of Perihelion: 2452499.4115 +/- 2.4 Perihelion: 38.20432106 +/- 0.0129 Aphelion: 121.95505192 +/- 0.0316 Period (y) 716.6247 +/- 0.27 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.58032789 +/- 0.0008 Ecliptic Y 17.16248654 +/- 0.0004 Ecliptic Z -5.98395955 +/- 0.0001 Ecliptic XDOT -0.00115524 +/- 0.0000 Ecliptic YDOT 0.00267291 +/- 0.0000 Ecliptic ZDOT -0.00172483 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.06597836 +/- 0.0007 Geocenter to KBO 38.11870445 +/- 0.0009 # Hcoef: 7.02
The following table shows the complete astrometric record for 13TP187. 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 (13TP187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.24537 01 52 33.02 +01 54 20.9 23.7g 13TP187 W84 C~3clQ 2013 11 23.18047 01 48 47.989 +01 26 52.28 22.6i 13TP187 W84 C~4yRD 2013 12 21.11163 01 47 29.756 +01 20 26.84 22.2i 13TP187 W84 C~4yRD 2013 12 21.11303 01 47 29.767 +01 20 26.72 22.7z 13TP187 W84 C~4yRD 2014 10 03.33180 01 59 48.214 +01 36 50.96 22.7r 13TP187 W84 C~4yRD 2014 10 21.28323 01 58 27.933 +01 25 43.48 22.9r 13TP187 W84 C~4yRD 2014 10 21.28460 01 58 27.920 +01 25 43.46 22.9i 13TP187 W84 C~4yRD 2015 12 17.12233 02 01 55.151 +00 46 31.34 22.5i 13TP187 W84 C~4yRD 2016 09 09.39746 02 15 23.875 +01 16 35.85 23.0i 13TP187 W84 C~4yRD 2016 11 27.12737 02 09 59.925 +00 33 27.54 22.9r 13TP187 W84 C~4yRD 2016 11 28.11615 02 09 56.150 +00 33 09.36 22.6i 13TP187 W84 C~4yRD 2016 11 28.11753 02 09 56.138 +00 33 09.36 24.1g 13TP187 W84 C~4yRD 2017 10 13.24668 02 20 22.188 +00 38 03.62 22.8i 13TP187 W84 C~4yRD 2017 10 13.24804 02 20 22.178 +00 38 03.46 22.9r 13TP187 W84 C~4yRD 2017 10 21.22556 02 19 46.363 +00 33 17.77 23.9g 13TP187 W84 C~4yRD 2017 11 16.17097 02 17 47.437 +00 20 17.19 23.9g 13TP187 W84 C~4yRD 2017 11 16.18502 02 17 47.367 +00 20 16.72 22.6r 13TP187 W84 C~4yRD 2017 12 24.06521 02 15 38.397 +00 11 51.93 22.5z 13TP187 W84 C~4yRD 2019 11 02.42952 02 32 43.03 -00 07 09.7 23.2i 13TP187 T09 C~7mvQ 2019 11 02.43219 02 32 43.02 -00 07 09.7 23.1i 13TP187 T09 C~7mvQ 2019 11 02.49727 02 32 42.72 -00 07 11.9 22.9i 13TP187 T09 C~7mvQ 2019 11 02.56170 02 32 42.42 -00 07 13.7 23.1i 13TP187 T09 C~7mvQ 2021 11 11.362875 02 45 32.558 -00 44 38.73 22.7w 13TP187 F51 C~5BQr 2021 11 11.375567 02 45 32.503 -00 44 38.82 23.0w 13TP187 F51 C~5BQr 2021 11 11.388388 02 45 32.440 -00 44 39.27 22.7w 13TP187 F51 C~5BQr
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 0.17 0.00 -0.01
2 0.1395 0.00 -0.13 0.00 0.04
3 0.2159 0.00 -0.09 0.00 0.15
4 0.2159 0.00 0.11 0.00 0.03
5 0.9996 0.00 -0.07 0.00 -0.13
6 1.0487 0.00 0.02 0.00 0.03
7 1.0487 0.00 -0.08 0.00 0.06
8 2.2036 0.00 0.01 0.00 0.01
9 2.9354 0.00 -0.01 0.00 -0.02
10 3.1509 0.00 0.10 0.00 -0.01
11 3.1537 0.00 0.01 0.00 -0.14
12 3.1537 0.00 -0.09 0.00 -0.11
13 4.0274 0.00 0.13 0.00 -0.02
14 4.0274 0.00 0.07 0.00 -0.13
15 4.0492 0.00 0.05 0.00 -0.09
16 4.1203 0.00 -0.04 0.00 0.05
17 4.1203 0.00 -0.15 0.00 -0.08
18 4.2240 0.00 0.19 0.00 -0.06
19 6.0813 0.00 -0.14 0.00 0.21
20 6.0813 0.00 -0.10 0.00 0.29
21 6.0815 0.00 0.01 0.00 0.06
22 6.0816 0.00 0.07 0.00 0.22
23 8.1071 0.00 -0.01 0.00 -0.22
24 8.1071 0.00 0.05 0.00 0.02
25 8.1072 0.00 0.01 0.00 -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.
13TP187 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 81.005 81.005 81.006 ecceobj 0.529 0.529 0.529 incobj 31.110 31.110 31.110 qmin 35.895 35.832 35.845 qmax 126.255 126.313 126.351 amean 79.758 79.764 79.774 amin 78.647 78.551 78.633 amax 81.531 81.471 81.466 emean 0.530 0.530 0.530 emin 0.513 0.513 0.513 emax 0.550 0.550 0.551 imean 30.466 30.461 30.455 imin 29.507 29.494 29.468 imax 31.363 31.350 31.357 excite_mean 0.733 0.733 0.733 fracstop 1.000 1.000 1.000 cjmean 2.757 2.757 2.757 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 233.0 231.7 229.8 kozaiamp 180.0 180.0 180.0