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: 13PD84 # Created Tue Apr 1 01:09:32 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 65 observations of 65 # Arc: 12.12y # First observation: 2012/08/17 # Last observation: 2024/10/01 # Chi-squared of fit: 73.86 DOF: 124 RMS: 0.19 # Min/Max residuals: -0.62 0.79 # Exact a, adot, b, bdot, g, gdot: 1.865073E-05 2.996231E-02 6.168896E-06 9.492756E-03 2.569467E-02 7.789284E-03 # Covariance matrix: 1.5889E-13 -7.4007E-14 3.3995E-14 -2.0467E-14 -7.9071E-15 -1.8942E-13 -7.4007E-14 4.2174E-14 -2.0816E-14 1.2557E-14 2.9435E-15 1.1621E-13 3.3995E-14 -2.0816E-14 6.9861E-14 -1.9539E-14 -5.1772E-16 -6.4577E-14 -2.0467E-14 1.2557E-14 -1.9539E-14 8.8259E-15 -8.3800E-16 3.9173E-14 -7.9071E-15 2.9435E-15 -5.1772E-16 -8.3800E-16 8.8801E-14 -7.6245E-15 -1.8942E-13 1.1621E-13 -6.4577E-14 3.9173E-14 -7.6245E-15 3.6251E-13 # lat0 lon0 xBary yBary zBary JD0 -8.995418 -29.362473 0.106706 -0.157356 -0.993921 2456156.947108 # Heliocentric elements and errors Epoch: 2456156.5000 = 2012/08/17 Mean Anomaly: 6.56416 +/- 0.002 Argument of Peri: 297.01171 +/- 0.002 Long of Asc Node: 356.31935 +/- 0.000 Inclination: 19.49470 +/- 0.000 Eccentricity: 0.63283532 +/- 0.0001 Semi-Major Axis: 100.74505446 +/- 0.0175 Time of Perihelion: 2449421.9216 +/- 2.5 Perihelion: 36.99002611 +/- 0.0089 Aphelion: 164.50008281 +/- 0.0293 Period (y) 1011.2157 +/- 0.26 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.32892950 +/- 0.0004 Ecliptic Y -19.43199070 +/- 0.0002 Ecliptic Z -6.08485557 +/- 0.0001 Ecliptic XDOT 0.00241208 +/- 0.0000 Ecliptic YDOT 0.00230573 +/- 0.0000 Ecliptic ZDOT 0.00086939 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.91351246 +/- 0.0004 Geocenter to KBO 38.91842687 +/- 0.0005 # Hcoef: 6.77
The following table shows the complete astrometric record for 13PD84. 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 (13PD84) followed by the observatory code and reference code for the source of the astrometry.
2012 08 17.44633 22 24 14.884 -19 38 21.50 22.7G 13PD84 F51 C~346H 2012 08 17.46062 22 24 14.813 -19 38 21.58 22.2G 13PD84 F51 C~346H 2012 08 17.47488 22 24 14.743 -19 38 22.18 22.8G 13PD84 F51 C~346H 2012 08 17.48915 22 24 14.681 -19 38 21.96 21.8G 13PD84 F51 C~346H 2013 08 09.44376 22 30 44.034 -18 27 03.79 22.5G 13PD84 F51 C~346H 2013 08 09.45801 22 30 43.983 -18 27 04.08 22.3G 13PD84 F51 C~346H 2013 08 09.47225 22 30 43.914 -18 27 04.68 21.9G 13PD84 F51 C~346H 2013 08 09.48649 22 30 43.832 -18 27 05.01 22.9G 13PD84 F51 C~346H 2013 10 06.31318 22 26 18.908 -18 43 31.88 22.7G 13PD84 F51 C~346H 2013 10 06.32743 22 26 18.854 -18 43 32.21 22.5G 13PD84 F51 C~346H 2013 10 06.34167 22 26 18.808 -18 43 32.09 22.6G 13PD84 F51 C~346H 2013 10 06.35593 22 26 18.757 -18 43 32.01 22.5G 13PD84 F51 C~346H 2014 06 28.56088 22 38 42.534 -17 04 33.67 22.7G 13PD84 F51 C~346H 2014 06 28.57277 22 38 42.486 -17 04 33.38 22.9G 13PD84 F51 C~346H 2014 06 28.58463 22 38 42.477 -17 04 34.00 23.1G 13PD84 F51 C~346H 2014 06 28.59652 22 38 42.478 -17 04 33.95 23.1G 13PD84 F51 C~346H 2014 07 06.55632 22 38 25.497 -17 06 51.05 22.9G 13PD84 F51 C~346H 2014 07 08.53602 22 38 20.492 -17 07 28.58 22.5G 13PD84 F51 C~346H 2014 07 08.54782 22 38 20.455 -17 07 28.83 23.0G 13PD84 F51 C~346H 2014 07 08.55963 22 38 20.434 -17 07 28.96 22.7G 13PD84 F51 C~346H 2014 07 08.57143 22 38 20.416 -17 07 29.51 23.0G 13PD84 F51 C~346H 2014 07 29.50488 22 37 10.540 -17 15 03.25 22.4G 13PD84 F51 C~346H 2014 07 29.51634 22 37 10.488 -17 15 03.63 22.6G 13PD84 F51 C~346H 2014 07 29.52779 22 37 10.451 -17 15 03.70 23.0G 13PD84 F51 C~346H 2014 07 29.53926 22 37 10.356 -17 15 04.11 21.7G 13PD84 F51 C~346H 2014 09 18.38388 22 33 15.288 -17 33 21.02 22.5G 13PD84 F51 C~346H 2014 09 18.39508 22 33 15.220 -17 33 21.22 23.2G 13PD84 F51 C~346H 2014 09 18.40627 22 33 15.158 -17 33 21.63 23.3G 13PD84 F51 C~346H 2014 09 18.41745 22 33 15.152 -17 33 21.65 22.3G 13PD84 F51 C~346H 2014 09 20.33076 22 33 06.544 -17 33 49.99 22.7G 13PD84 F51 C~346H 2014 09 20.34196 22 33 06.465 -17 33 50.20 22.7G 13PD84 F51 C~346H 2014 09 20.35586 22 33 06.367 -17 33 50.59 22.6G 13PD84 F51 C~346H 2014 09 20.36705 22 33 06.351 -17 33 50.45 23.1G 13PD84 F51 C~346H 2014 09 21.06449 22 33 03.26 -17 34 00.4 23.2V 13PD84 W84 C~346H 2014 09 21.15296 22 33 02.86 -17 34 01.6 13PD84 W84 C~346H 2014 09 21.21439 22 33 02.58 -17 34 02.4 13PD84 W84 C~346H 2015 06 17.60270 22 44 19.225 -15 55 51.37 23.0G 13PD84 F51 C~346H 2015 06 20.58400 22 44 16.815 -15 56 22.25 22.4G 13PD84 F51 C~346H 2015 07 24.48424 22 42 57.970 -16 06 08.07 22.7G 13PD84 F51 C~346H 2015 08 10.47209 22 41 50.017 -16 12 42.12 22.4G 13PD84 F51 C~346H 2015 08 10.48396 22 41 49.964 -16 12 42.53 22.7G 13PD84 F51 C~346H 2015 08 10.49587 22 41 49.916 -16 12 42.83 22.8G 13PD84 F51 C~346H 2015 08 10.50777 22 41 49.848 -16 12 43.28 22.7G 13PD84 F51 C~346H 2015 08 11.47589 22 41 45.581 -16 13 06.31 22.5G 13PD84 F51 C~346H 2015 08 11.48781 22 41 45.553 -16 13 06.38 22.2G 13PD84 F51 C~346H 2015 08 11.51159 22 41 45.452 -16 13 07.12 21.7G 13PD84 F51 C~346H 2015 08 12.46879 22 41 41.172 -16 13 29.74 22.3G 13PD84 F51 C~346H 2015 08 12.48071 22 41 41.135 -16 13 30.06 22.8G 13PD84 F51 C~346H 2015 08 12.49261 22 41 41.079 -16 13 30.30 22.1G 13PD84 F51 C~346H 2015 08 12.50453 22 41 41.007 -16 13 30.52 22.2G 13PD84 F51 C~346H 2016 07 07.53750 22 49 02.631 -14 54 41.84 22.9G 13PD84 F51 C~346H 2016 07 07.54874 22 49 02.588 -14 54 41.91 22.9G 13PD84 F51 C~346I 2016 07 07.55996 22 49 02.587 -14 54 42.20 22.9G 13PD84 F51 C~346I 2016 07 07.57116 22 49 02.559 -14 54 42.30 22.7G 13PD84 F51 C~346I 2016 08 03.50839 22 47 35.844 -15 03 54.46 23.2G 13PD84 F51 C~346I 2016 08 03.51942 22 47 35.797 -15 03 54.64 23.1G 13PD84 F51 C~346I 2016 08 03.53047 22 47 35.771 -15 03 54.70 22.5G 13PD84 F51 C~346I 2016 08 03.54154 22 47 35.764 -15 03 54.53 23.1G 13PD84 F51 C~346I 2016 10 25.25611 22 41 53.929 -15 26 10.59 22.8G 13PD84 F51 C~346I 2016 10 25.26726 22 41 53.904 -15 26 10.52 23.0G 13PD84 F51 C~346I 2016 10 25.27841 22 41 53.858 -15 26 10.37 22.7G 13PD84 F51 C~346I 2016 10 25.28960 22 41 53.838 -15 26 10.40 23.5G 13PD84 F51 C~346I 2024 10 01.230580 23 21 38.192 -07 03 10.12 22.9G 13PD84 G37 C~8GxL 2024 10 01.269480 23 21 38.034 -07 03 11.00 13PD84 G37 C~8GxL 2024 10 01.309170 23 21 37.874 -07 03 11.62 13PD84 G37 C~8GxL
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 -0.08
2 0.0000 0.00 -0.01 0.00 0.17
3 0.0001 0.00 0.01 0.00 -0.10
4 0.0001 0.00 0.14 0.00 0.45
5 0.9774 0.00 -0.08 0.00 0.15
6 0.9774 0.00 0.16 0.00 0.20
7 0.9775 0.00 0.12 0.00 -0.06
8 0.9775 0.00 -0.11 0.00 -0.04
9 1.1358 0.00 0.07 0.00 -0.00
10 1.1359 0.00 0.05 0.00 -0.26
11 1.1359 0.00 0.16 0.00 -0.06
12 1.1360 0.00 0.18 0.00 0.09
13 1.8621 0.00 0.08 0.00 -0.17
14 1.8621 0.00 -0.30 0.00 0.31
15 1.8621 0.00 -0.10 0.00 -0.12
16 1.8621 0.00 0.25 0.00 0.11
17 1.8839 0.00 -0.07 0.00 0.10
18 1.8894 0.00 -0.02 0.00 -0.05
19 1.8894 0.00 -0.10 0.00 -0.07
20 1.8894 0.00 0.07 0.00 0.03
21 1.8895 0.00 0.27 0.00 -0.30
22 1.9468 0.00 0.07 0.00 0.14
23 1.9468 0.00 -0.01 0.00 0.03
24 1.9468 0.00 0.13 0.00 0.23
25 1.9469 0.00 -0.59 0.00 0.09
26 2.0861 0.00 0.08 0.00 -0.10
27 2.0861 0.00 -0.17 0.00 -0.13
28 2.0861 0.00 -0.32 0.00 -0.37
29 2.0862 0.00 0.37 0.00 -0.21
30 2.0914 0.00 0.32 0.00 -0.01
31 2.0914 0.00 -0.10 0.00 -0.05
32 2.0915 0.00 -0.62 0.00 -0.24
33 2.0915 0.00 -0.10 0.00 0.06
34 2.0934 0.00 0.05 0.00 -0.06
35 2.0937 0.00 0.05 0.00 0.00
36 2.0938 0.00 0.02 0.00 0.06
37 2.8314 0.00 0.09 0.00 0.11
38 2.8395 0.00 -0.19 0.00 -0.25
39 2.9323 0.00 0.01 0.00 0.07
40 2.9789 0.00 0.06 0.00 0.07
41 2.9789 0.00 0.06 0.00 -0.06
42 2.9789 0.00 0.14 0.00 -0.08
43 2.9789 0.00 -0.08 0.00 -0.24
44 2.9816 0.00 -0.21 0.00 -0.23
45 2.9816 0.00 0.18 0.00 -0.01
46 2.9817 0.00 0.27 0.00 -0.19
47 2.9843 0.00 -0.28 0.00 -0.02
48 2.9844 0.00 -0.02 0.00 -0.06
49 2.9844 0.00 -0.05 0.00 -0.02
50 2.9844 0.00 -0.32 0.00 0.05
51 3.8880 0.00 -0.06 0.00 0.10
52 3.8880 0.00 -0.30 0.00 0.22
53 3.8881 0.00 0.08 0.00 0.12
54 3.8881 0.00 0.06 0.00 0.21
55 3.9618 0.00 -0.05 0.00 -0.14
56 3.9619 0.00 -0.08 0.00 -0.07
57 3.9619 0.00 0.21 0.00 0.13
58 3.9619 0.00 0.79 0.00 0.55
59 4.1884 0.00 0.11 0.00 -0.05
60 4.1884 0.00 0.16 0.00 0.01
61 4.1885 0.00 -0.11 0.00 0.16
62 4.1885 0.00 0.01 0.00 0.12
63 12.1226 0.00 -0.05 0.00 0.02
64 12.1227 0.00 -0.02 0.00 -0.12
65 12.1228 0.00 0.02 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.
13PD84 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 101.028 101.028 101.028 ecceobj 0.634 0.634 0.634 incobj 19.479 19.479 19.479 qmin 35.689 35.770 35.834 qmax 171.856 171.005 170.403 amean 101.121 100.874 100.762 amin 98.884 98.644 98.959 amax 104.314 103.845 103.736 emean 0.632 0.631 0.630 emin 0.617 0.617 0.615 emax 0.648 0.647 0.645 imean 20.438 20.429 20.514 imin 19.414 19.561 19.714 imax 21.478 21.464 21.549 excite_mean 0.722 0.721 0.721 fracstop 1.000 1.000 1.000 cjmean 2.959 2.959 2.959 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 154.2 151.7 150.4 kozaiamp 180.0 180.0 180.0