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: 12VP113 # Created Sun Feb 2 02:09:53 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 55 observations of 55 # Arc: 16.94y # First observation: 2007/09/19 # Last observation: 2024/08/27 # Chi-squared of fit: 79.98 DOF: 104 RMS: 0.21 # Min/Max residuals: -0.66 0.66 # Exact a, adot, b, bdot, g, gdot: 1.364178E-05 1.045729E-02 4.597207E-06 3.176952E-03 1.225507E-02 1.527242E-03 # Covariance matrix: 2.1373E-13 -4.1603E-14 2.4398E-14 -9.2613E-15 2.3711E-14 -1.8958E-13 -4.1603E-14 1.4473E-14 -1.1070E-14 4.0804E-15 1.1518E-14 8.3511E-14 2.4398E-14 -1.1070E-14 1.1946E-13 -1.4476E-14 -1.2428E-14 -7.1393E-14 -9.2613E-15 4.0804E-15 -1.4476E-14 2.7422E-15 4.1526E-15 2.6258E-14 2.3711E-14 1.1518E-14 -1.2428E-14 4.1526E-15 9.1505E-14 8.4930E-14 -1.8958E-13 8.3511E-14 -7.1393E-14 2.6258E-14 8.4930E-14 5.3741E-13 # lat0 lon0 xBary yBary zBary JD0 -17.710295 46.166009 0.768298 -0.197080 -0.617384 2454362.959653 # Heliocentric elements and errors Epoch: 2454362.5000 = 2007/09/19 Mean Anomaly: 2.51421 +/- 0.002 Argument of Peri: 293.70731 +/- 0.009 Long of Asc Node: 90.69807 +/- 0.000 Inclination: 24.09100 +/- 0.000 Eccentricity: 0.68921250 +/- 0.0001 Semi-Major Axis: 258.90937746 +/- 0.1024 Time of Perihelion: 2443735.3079 +/- 10.0 Perihelion: 80.46579934 +/- 0.0439 Aphelion: 437.35295558 +/- 0.1755 Period (y) 4166.1018 +/- 2.47 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 54.83623686 +/- 0.0013 Ecliptic Y 56.00310044 +/- 0.0014 Ecliptic Z -24.82236260 +/- 0.0006 Ecliptic XDOT -0.00130430 +/- 0.0000 Ecliptic YDOT 0.00200670 +/- 0.0000 Ecliptic ZDOT 0.00057222 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 82.21608562 +/- 0.0013 Geocenter to KBO 81.59876415 +/- 0.0020 # Hcoef: 3.97
The following table shows the complete astrometric record for 12VP113. 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 (12VP113) followed by the observatory code and reference code for the source of the astrometry.
2007 09 19.458899 03 14 52.44 -00 19 49.0 23.0r 12VP113 645 C~8SNq 2007 09 19.459728 03 14 52.43 -00 19 49.2 22.9i 12VP113 645 C~8SNq 2007 09 19.462216 03 14 52.44 -00 19 49.1 23.6g 12VP113 645 C~8SNq 2007 11 08.387966 03 13 11.20 -00 30 09.0 22.9r 12VP113 645 C~8SNq 2007 11 08.388795 03 13 11.17 -00 30 09.4 22.7i 12VP113 645 C~8SNq 2007 11 08.391283 03 13 11.16 -00 30 09.2 23.5g 12VP113 645 C~8SNq 2011 10 22.550503 03 22 15.529 +00 54 17.81 22.5R 12VP113 568 C~1286 2011 10 22.553946 03 22 15.522 +00 54 17.80 22.8R 12VP113 568 C~1286 2012 11 05.19447 03 23 47.159 +01 12 01.65 23.1r 12VP113 807 C~10W7 2012 11 05.19585 03 23 47.154 +01 12 01.54 12VP113 807 C~10W7 2012 11 05.19722 03 23 47.085 +01 12 01.11 12VP113 807 C~1286 2012 11 05.19861 03 23 47.088 +01 12 01.53 12VP113 807 C~1286 2012 11 05.26339 03 23 46.978 +01 12 00.61 12VP113 807 C~1286 2012 11 05.26476 03 23 46.947 +01 12 00.74 12VP113 807 C~1286 2012 11 05.26755 03 23 46.950 +01 12 00.72 12VP113 807 C~1286 2012 11 05.34585 03 23 46.777 +01 12 00.64 12VP113 807 C~1286 2012 11 05.34721 03 23 46.797 +01 11 59.81 12VP113 807 C~1286 2012 11 05.34996 03 23 46.760 +01 12 00.28 12VP113 807 C~1286 2013 03 10.01482 03 21 38.344 +01 25 39.33 12VP113 304 C~1286 2013 03 10.03753 03 21 38.361 +01 25 39.54 12VP113 304 C~1286 2013 03 10.05447 03 21 38.382 +01 25 40.22 12VP113 304 C~1286 2013 03 11.01704 03 21 39.889 +01 25 58.46 12VP113 304 C~1286 2013 03 11.02837 03 21 39.911 +01 25 58.47 12VP113 304 C~1286 2013 03 11.05185 03 21 39.948 +01 25 58.99 12VP113 304 C~1286 2013 08 10.34128 03 27 34.587 +01 48 43.12 23.3r 12VP113 304 C~1286 2013 08 10.36004 03 27 34.579 +01 48 42.93 23.3r 12VP113 304 C~1286 2013 08 10.41789 03 27 34.612 +01 48 42.58 23.2r 12VP113 304 C~1286 2013 08 11.38266 03 27 35.213 +01 48 34.79 23.2r 12VP113 304 C~1286 2013 08 11.41952 03 27 35.230 +01 48 34.28 23.3r 12VP113 304 C~1286 2013 10 28.25273 03 26 11.698 +01 33 29.90 12VP113 304 C~1286 2013 10 29.24975 03 26 09.381 +01 33 19.13 12VP113 304 C~1286 2013 10 30.33180 03 26 06.819 +01 33 08.55 23.1r 12VP113 304 C~1286 2016 11 02.20670 03 32 11.066 +02 32 25.89 23.1r 12VP113 304 C~2ADZ 2016 11 04.15229 03 32 06.397 +02 32 08.13 12VP113 304 C~2ADZ 2017 09 22.527578 03 35 31.15 +02 59 56.6 23.6g 12VP113 T09 C~8SNq 2017 09 22.619297 03 35 31.04 +02 59 55.4 23.5g 12VP113 T09 C~8SNq 2017 09 23.526475 03 35 29.91 +02 59 44.5 23.5g 12VP113 T09 C~8SNq 2017 09 23.619582 03 35 29.79 +02 59 43.3 23.5g 12VP113 T09 C~8SNq 2017 09 25.476522 03 35 27.38 +02 59 20.9 23.6g 12VP113 T09 C~8SNq 2017 09 25.570388 03 35 27.25 +02 59 19.7 23.7g 12VP113 T09 C~8SNq 2017 09 26.479112 03 35 26.02 +02 59 08.7 23.6g 12VP113 T09 C~8SNq 2017 09 26.571387 03 35 25.89 +02 59 07.6 23.6g 12VP113 T09 C~8SNq 2019 10 02.213232 03 39 21.78 +03 37 14.2 23.4V 12VP113 W84 C~5FsU 2019 10 02.215307 03 39 21.77 +03 37 14.2 23.4V 12VP113 W84 C~5FsU 2019 12 14.209213 03 36 38.89 +03 27 53.3 12VP113 W84 C~5HCM 2020 02 05.073014 03 35 28.58 +03 33 32.6 23.1i 12VP113 W84 C~5FsU 2020 02 05.075245 03 35 28.58 +03 33 32.6 23.1z 12VP113 W84 C~5FsU 2021 10 09.473908 03 43 11.46 +04 14 36.3 23.4w 12VP113 T14 C~8SNq 2021 10 09.499846 03 43 11.41 +04 14 36.0 12VP113 T14 C~8SNq 2021 10 09.525674 03 43 11.36 +04 14 35.7 12VP113 T14 C~8SNq 2021 10 11.449135 03 43 07.91 +04 14 14.3 23.4w 12VP113 T14 C~8SNq 2021 10 11.475358 03 43 07.86 +04 14 14.0 12VP113 T14 C~8SNq 2021 10 11.501763 03 43 07.82 +04 14 13.7 12VP113 T14 C~8SNq 2022 08 21.594390 03 45 50.21 +04 42 15.1 12VP113 T14 C~82mL 2024 08 27.57300 03 49 50.98 +05 19 22.2 12VP113 T15 C~8SNq
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 -0.00 0.00 -0.11
2 0.0000 0.00 -0.13 0.00 -0.30
3 0.0000 0.00 0.06 0.00 -0.16
4 0.1367 0.00 0.47 0.00 -0.07
5 0.1367 0.00 0.05 0.00 -0.47
6 0.1367 0.00 -0.00 0.00 -0.24
7 4.0906 0.00 0.08 0.00 -0.21
8 4.0906 0.00 0.09 0.00 -0.18
9 5.1300 0.00 0.34 0.00 0.29
10 5.1300 0.00 0.32 0.00 0.19
11 5.1300 0.00 -0.66 0.00 -0.23
12 5.1300 0.00 -0.57 0.00 0.21
13 5.1302 0.00 0.19 0.00 -0.12
14 5.1302 0.00 -0.22 0.00 0.02
15 5.1302 0.00 -0.08 0.00 0.03
16 5.1304 0.00 0.23 0.00 0.66
17 5.1304 0.00 0.58 0.00 -0.15
18 5.1304 0.00 0.13 0.00 0.34
19 5.4717 0.00 0.19 0.00 0.29
20 5.4718 0.00 -0.08 0.00 0.07
21 5.4719 0.00 -0.15 0.00 0.43
22 5.4745 0.00 -0.06 0.00 0.28
23 5.4745 0.00 0.00 0.00 0.07
24 5.4746 0.00 0.01 0.00 0.14
25 5.8915 0.00 0.07 0.00 0.07
26 5.8916 0.00 -0.22 0.00 0.03
27 5.8917 0.00 -0.23 0.00 0.14
28 5.8944 0.00 0.12 0.00 0.16
29 5.8945 0.00 0.08 0.00 -0.05
30 6.1076 0.00 -0.30 0.00 0.21
31 6.1103 0.00 -0.11 0.00 -0.17
32 6.1133 0.00 -0.31 0.00 0.36
33 9.1218 0.00 -0.31 0.00 -0.20
34 9.1272 0.00 -0.49 0.00 0.16
35 10.0098 0.00 -0.00 0.00 -0.10
36 10.0100 0.00 0.09 0.00 -0.19
37 10.0125 0.00 -0.01 0.00 -0.14
38 10.0128 0.00 0.02 0.00 -0.21
39 10.0178 0.00 0.02 0.00 -0.13
40 10.0181 0.00 0.01 0.00 -0.19
41 10.0206 0.00 0.02 0.00 -0.17
42 10.0208 0.00 0.03 0.00 -0.15
43 12.0349 0.00 0.13 0.00 0.13
44 12.0349 0.00 0.03 0.00 0.15
45 12.2348 0.00 0.14 0.00 -0.24
46 12.3795 0.00 -0.01 0.00 0.09
47 12.3795 0.00 -0.00 0.00 0.07
48 14.0562 0.00 0.13 0.00 -0.09
49 14.0562 0.00 0.08 0.00 -0.10
50 14.0563 0.00 0.03 0.00 -0.11
51 14.0616 0.00 0.01 0.00 -0.06
52 14.0616 0.00 -0.01 0.00 -0.07
53 14.0617 0.00 0.13 0.00 -0.07
54 14.9217 0.00 -0.12 0.00 0.01
55 16.9394 0.00 0.14 0.00 0.07
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.
12VP113 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 275.270 275.271 275.268 ecceobj 0.707 0.707 0.707 incobj 24.021 24.021 24.021 qmin 76.953 76.952 76.934 qmax 470.348 470.009 470.000 amean 262.668 262.669 262.666 amin 255.098 255.002 254.578 amax 275.441 275.271 275.268 emean 0.693 0.693 0.693 emin 0.680 0.680 0.680 emax 0.708 0.707 0.707 imean 22.555 22.555 22.555 imin 22.268 22.266 22.269 imax 22.870 22.872 22.866 excite_mean 0.792 0.792 0.792 fracstop 1.000 1.000 1.000 cjmean 4.048 4.048 4.048 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 297.1 297.1 297.1 kozaiamp 4.5 4.5 4.5