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 Sat Nov 23 02:09:22 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 37 observations of 37 # Arc: 10.83y # First observation: 2011/10/22 # Last observation: 2022/08/21 # Chi-squared of fit: 60.68 DOF: 68 RMS: 0.23 # Min/Max residuals: -0.65 0.60 # Exact a, adot, b, bdot, g, gdot: 1.350568E-05 1.033289E-02 6.003965E-06 3.267183E-03 1.221910E-02 1.651453E-03 # Covariance matrix: 1.6121E-13 -8.2453E-14 2.7590E-14 -2.3649E-14 -1.5462E-14 -7.2614E-13 -8.2453E-14 7.0948E-14 -2.9553E-14 2.2843E-14 3.8070E-14 7.0122E-13 2.7590E-14 -2.9553E-14 9.8208E-14 -2.3602E-14 -2.8122E-14 -3.0980E-13 -2.3649E-14 2.2843E-14 -2.3602E-14 1.2040E-14 1.2853E-14 2.4006E-13 -1.5462E-14 3.8070E-14 -2.8122E-14 1.2853E-14 1.1301E-13 3.9388E-13 -7.2614E-13 7.0122E-13 -3.0980E-13 2.4006E-13 3.9388E-13 7.3692E-12 # lat0 lon0 xBary yBary zBary JD0 -17.019159 48.377854 0.334426 -0.273258 -0.892755 2455857.051269 # Heliocentric elements and errors Epoch: 2455856.5000 = 2011/10/22 Mean Anomaly: 2.60461 +/- 0.004 Argument of Peri: 294.02530 +/- 0.031 Long of Asc Node: 90.85853 +/- 0.001 Inclination: 24.02803 +/- 0.000 Eccentricity: 0.70329027 +/- 0.0002 Semi-Major Axis: 271.44225700 +/- 0.1764 Time of Perihelion: 2444038.2170 +/- 22.8 Perihelion: 80.53955852 +/- 0.0773 Aphelion: 462.34495548 +/- 0.3058 Period (y) 4472.2327 +/- 4.36 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 52.85113477 +/- 0.0014 Ecliptic Y 58.97653946 +/- 0.0016 Ecliptic Z -23.95313839 +/- 0.0007 Ecliptic XDOT -0.00135700 +/- 0.0000 Ecliptic YDOT 0.00196759 +/- 0.0000 Ecliptic ZDOT 0.00059176 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 82.73571803 +/- 0.0015 Geocenter to KBO 81.83891514 +/- 0.0023 # Hcoef: 4.02
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.
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 2019 10 02.213218 03 39 21.78 +03 37 13.9 12VP113 W84 C~5HCM 2019 10 02.213232 03 39 21.78 +03 37 14.2 23.4V 12VP113 W84 C~5FsU 2019 10 02.215289 03 39 21.78 +03 37 14.0 12VP113 W84 C~5HCM 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 05.073003 03 35 28.59 +03 33 32.6 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 2022 08 21.594390 03 45 50.21 +04 42 15.1 12VP113 T14 C~82mL
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 0.07 0.00 -0.36
2 0.0000 0.00 0.08 0.00 -0.33
3 1.0394 0.00 0.36 0.00 0.17
4 1.0394 0.00 0.34 0.00 0.08
5 1.0394 0.00 -0.65 0.00 -0.34
6 1.0394 0.00 -0.55 0.00 0.09
7 1.0396 0.00 0.20 0.00 -0.24
8 1.0396 0.00 -0.21 0.00 -0.09
9 1.0396 0.00 -0.06 0.00 -0.09
10 1.0398 0.00 0.25 0.00 0.55
11 1.0398 0.00 0.60 0.00 -0.27
12 1.0398 0.00 0.14 0.00 0.22
13 1.3811 0.00 0.18 0.00 0.20
14 1.3812 0.00 -0.08 0.00 -0.03
15 1.3813 0.00 -0.15 0.00 0.33
16 1.3839 0.00 -0.07 0.00 0.18
17 1.3839 0.00 -0.00 0.00 -0.03
18 1.3840 0.00 0.00 0.00 0.05
19 1.8009 0.00 0.13 0.00 -0.01
20 1.8010 0.00 -0.16 0.00 -0.05
21 1.8011 0.00 -0.17 0.00 0.06
22 1.8038 0.00 0.18 0.00 0.08
23 1.8039 0.00 0.14 0.00 -0.13
24 2.0170 0.00 -0.26 0.00 0.13
25 2.0197 0.00 -0.07 0.00 -0.25
26 2.0227 0.00 -0.27 0.00 0.27
27 5.0312 0.00 -0.25 0.00 -0.23
28 5.0366 0.00 -0.43 0.00 0.13
29 7.9443 0.00 0.15 0.00 -0.19
30 7.9443 0.00 0.15 0.00 0.11
31 7.9443 0.00 0.19 0.00 -0.06
32 7.9443 0.00 0.04 0.00 0.14
33 8.1442 0.00 0.15 0.00 -0.26
34 8.2889 0.00 0.15 0.00 0.08
35 8.2889 0.00 0.00 0.00 0.08
36 8.2889 0.00 0.01 0.00 0.05
37 10.8311 0.00 -0.22 0.00 -0.03
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 275.183 275.185 275.182 ecceobj 0.707 0.707 0.707 incobj 24.021 24.021 24.021 qmin 76.962 76.970 76.947 qmax 469.826 469.829 469.823 amean 262.590 262.591 262.588 amin 254.140 254.027 254.246 amax 275.183 275.185 275.181 emean 0.693 0.693 0.693 emin 0.680 0.680 0.680 emax 0.707 0.707 0.707 imean 22.555 22.554 22.554 imin 22.266 22.268 22.264 imax 22.866 22.869 22.862 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