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: 12UJ177 # Created Thu Apr 25 01:14:04 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 1.46y # First observation: 2011/08/31 # Last observation: 2013/02/14 Preliminary a, adot, b, bdot, g, gdot: -0.000138 0.035886 -0.000022 -0.000680 0.029432 0.000000 # Chi-squared of fit: 6.76 DOF: 44 RMS: 0.09 # Min/Max residuals: -0.27 0.26 # Exact a, adot, b, bdot, g, gdot: 1.936197E-05 3.587338E-02 9.107260E-07 -7.680990E-04 2.952292E-02 9.484935E-03 # Covariance matrix: 3.6175E-13 1.8038E-13 -1.1966E-15 -2.0865E-14 3.7033E-13 1.4253E-11 1.8038E-13 1.1365E-12 1.3895E-15 -6.0244E-14 9.1563E-13 3.7888E-11 -1.1966E-15 1.3895E-15 2.1605E-13 -1.8340E-13 -3.2112E-15 3.1850E-13 -2.0865E-14 -6.0244E-14 -1.8340E-13 2.1884E-13 -5.2399E-14 -2.8897E-12 3.7033E-13 9.1563E-13 -3.2112E-15 -5.2399E-14 9.3654E-13 3.5934E-11 1.4253E-11 3.7888E-11 3.1850E-13 -2.8897E-12 3.5934E-11 1.6476E-09 # lat0 lon0 xBary yBary zBary JD0 15.876865 33.141908 0.831082 0.155255 -0.545975 2455805.002856 # Heliocentric elements and errors Epoch: 2455800.5000 = 2011/08/27 Mean Anomaly: 16.91181 +/- 0.044 Argument of Peri: 47.44338 +/- 0.133 Long of Asc Node: 298.87467 +/- 0.003 Inclination: 15.63035 +/- 0.000 Eccentricity: 0.43906342 +/- 0.0011 Semi-Major Axis: 55.83189882 +/- 0.0632 Time of Perihelion: 2448642.2039 +/- 13.8 Perihelion: 31.31815411 +/- 0.0685 Aphelion: 80.34564353 +/- 0.1083 Period (y) 417.1880 +/- 0.71 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.21268815 +/- 0.0009 Ecliptic Y 17.42756998 +/- 0.0006 Ecliptic Z 9.26644041 +/- 0.0003 Ecliptic XDOT -0.00109724 +/- 0.0000 Ecliptic YDOT 0.00326416 +/- 0.0000 Ecliptic ZDOT 0.00017218 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.43171337 +/- 0.0008 Geocenter to KBO 33.87198383 +/- 0.0011 # Hcoef: 9.04
The following table shows the complete astrometric record for 12UJ177. 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 (12UJ177) followed by the observatory code and reference code for the source of the astrometry.
2011 08 31.50209 01 39 33.217 +27 23 53.27 24.4r 12UJ177 568 C~1C6U 2011 08 31.54505 01 39 33.058 +27 23 53.79 24.9r 12UJ177 568 C~1C6U 2011 08 31.60929 01 39 32.834 +27 23 54.08 24.9r 12UJ177 568 C~1C6U 2011 09 05.51527 01 39 14.996 +27 24 14.77 24.5r 12UJ177 568 C~1C6U 2011 11 24.38502 01 32 07.614 +26 51 14.06 24.3r 12UJ177 568 C~1C6U 2011 11 30.46714 01 31 41.957 +26 47 03.14 24.3r 12UJ177 568 C~1C6U 2011 12 01.38483 01 31 38.391 +26 46 25.22 24.5r 12UJ177 568 C~1C6U 2011 12 01.40191 01 31 38.321 +26 46 24.49 24.2r 12UJ177 568 C~1C6U 2012 08 21.50331 01 48 37.250 +28 04 38.47 23.9r 12UJ177 568 C~1C6U 2012 08 28.47612 01 48 19.196 +28 06 04.64 24.4r 12UJ177 568 C~1C6U 2012 09 12.48289 01 47 24.121 +28 07 01.62 24.5r 12UJ177 568 C~1C6U 2012 09 14.45580 01 47 15.409 +28 06 55.85 12UJ177 568 C~1C6U 2012 10 19.39438 01 44 04.558 +27 57 11.84 12UJ177 568 C~1C6U 2012 10 20.38644 01 43 58.607 +27 56 43.41 24.9r 12UJ177 568 C~1C6U 2012 10 21.39663 01 43 52.543 +27 56 13.60 24.1r 12UJ177 568 C~1C6U 2012 10 21.43518 01 43 52.311 +27 56 12.49 24.2r 12UJ177 568 C~1C6U 2012 10 21.47359 01 43 52.070 +27 56 11.46 24.2r 12UJ177 568 C~1C6U 2012 11 14.38458 01 41 34.617 +27 42 12.81 24.0r 12UJ177 568 C~1C6U 2012 11 16.30609 01 41 24.594 +27 40 57.29 24.5r 12UJ177 568 C~1C6U 2013 01 14.25495 01 39 03.786 +27 05 18.88 24.5r 12UJ177 568 C~1C6U 2013 01 14.26012 01 39 03.794 +27 05 18.70 24.8r 12UJ177 568 C~1C6U 2013 01 14.29892 01 39 03.840 +27 05 17.69 12UJ177 568 C~1C6U 2013 02 03.31560 01 39 49.314 +26 59 19.95 25.0r 12UJ177 568 C~1C6U 2013 02 09.29360 01 40 12.107 +26 58 29.42 24.3r 12UJ177 568 C~1C6U 2013 02 14.22894 01 40 33.926 +26 58 08.45 24.2r 12UJ177 568 C~1C6U
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 -0.03 0.00 -0.27
2 0.0001 -1.77 -0.04 1.28 -0.00
3 0.0003 -4.42 -0.05 2.66 -0.11
4 0.0137 -216.83 0.10 111.03 0.04
5 0.2324 -6247.94 -0.01 462.03 0.09
6 0.2490 -6662.38 -0.02 364.53 0.26
7 0.2516 -6721.19 0.03 348.20 0.03
8 0.2516 -6722.34 -0.01 347.89 0.02
9 0.9747 7619.59 -0.06 -373.34 0.02
10 0.9938 7427.15 0.04 -207.17 0.06
11 1.0349 6766.87 -0.09 108.11 -0.01
12 1.0403 6657.16 -0.07 144.29 -0.05
13 1.1359 4089.15 0.09 519.15 -0.05
14 1.1386 4005.33 0.09 521.62 0.09
15 1.1414 3919.61 -0.03 523.37 -0.03
16 1.1415 3916.34 0.03 523.47 -0.01
17 1.1416 3912.99 -0.01 523.68 0.12
18 1.2071 1908.28 0.02 417.46 -0.16
19 1.2123 1756.62 0.20 396.80 -0.07
20 1.3737 -782.33 -0.02 -885.38 0.13
21 1.3737 -782.30 0.01 -885.59 0.06
22 1.3738 -782.11 0.11 -886.76 -0.02
23 1.4286 -353.25 0.01 -1446.41 0.02
24 1.4450 -89.62 -0.15 -1607.31 -0.05
25 1.4585 173.11 -0.15 -1735.75 -0.12
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.
12UJ177 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.004 56.198 55.814 ecceobj 0.441 0.444 0.438 incobj 15.631 15.631 15.631 qmin 30.601 30.796 30.838 qmax 81.857 81.471 81.911 amean 55.462 55.461 55.463 amin 54.673 54.750 54.494 amax 56.497 56.377 56.668 emean 0.434 0.434 0.433 emin 0.419 0.423 0.420 emax 0.449 0.445 0.446 imean 17.290 17.356 17.230 imin 16.571 17.101 16.866 imax 17.838 17.559 17.647 excite_mean 0.526 0.527 0.524 fracstop 1.000 1.000 1.000 cjmean 2.878 2.876 2.880 libcent 0 179.5 180.5 179.7 libamp 0 109.5 75.3 157.7 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 164.0 114.2 181.4 kozaiamp 114.7 67.0 180.0