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: 12UR177 # Created Tue Apr 1 01:09:24 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 6.30y # First observation: 2011/09/01 # Last observation: 2017/12/20 # Chi-squared of fit: 9.88 DOF: 50 RMS: 0.10 # Min/Max residuals: -0.19 0.20 # Exact a, adot, b, bdot, g, gdot: 1.573091E-05 2.428172E-02 -1.482959E-06 -1.352428E-03 2.281866E-02 -7.541786E-03 # Covariance matrix: 3.3995E-13 -3.5351E-13 -1.7373E-14 2.2166E-14 -7.3734E-14 -2.2838E-12 -3.5351E-13 5.6564E-13 2.8459E-14 -3.4894E-14 2.4467E-13 3.6660E-12 -1.7373E-14 2.8459E-14 1.0054E-13 -3.5231E-14 1.2061E-14 1.9371E-13 2.2166E-14 -3.4894E-14 -3.5231E-14 2.5664E-14 -1.3610E-14 -2.3950E-13 -7.3734E-14 2.4467E-13 1.2061E-14 -1.3610E-14 2.0667E-13 1.4912E-12 -2.2838E-12 3.6660E-12 1.9371E-13 -2.3950E-13 1.4912E-12 2.5058E-11 # lat0 lon0 xBary yBary zBary JD0 16.301812 33.196334 0.822534 0.162632 -0.556227 2455805.919486 # Heliocentric elements and errors Epoch: 2455806.5000 = 2011/09/02 Mean Anomaly: 341.18717 +/- 0.008 Argument of Peri: 157.48920 +/- 0.020 Long of Asc Node: 291.52208 +/- 0.001 Inclination: 16.35056 +/- 0.000 Eccentricity: 0.49624649 +/- 0.0002 Semi-Major Axis: 74.66709995 +/- 0.0204 Time of Perihelion: 2468121.7738 +/- 91.5 Perihelion: 37.61381374 +/- 0.0185 Aphelion: 111.72038616 +/- 0.0341 Period (y) 645.2115 +/- 0.26 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.13598648 +/- 0.0007 Ecliptic Y 22.65959716 +/- 0.0005 Ecliptic Z 12.30117221 +/- 0.0002 Ecliptic XDOT -0.00228694 +/- 0.0000 Ecliptic YDOT 0.00199273 +/- 0.0000 Ecliptic ZDOT -0.00040968 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.39152129 +/- 0.0006 Geocenter to KBO 43.82402160 +/- 0.0009 # Hcoef: 7.88
The following table shows the complete astrometric record for 12UR177. 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 (12UR177) followed by the observatory code and reference code for the source of the astrometry.
2011 09 01.41872 01 39 03.099 +27 48 41.72 24.2r 12UR177 568 C~1CL9 2011 09 01.46443 01 39 02.955 +27 48 41.54 24.3r 12UR177 568 C~1CL9 2011 09 05.44695 01 38 51.068 +27 48 50.60 24.5r 12UR177 568 C~1CL9 2011 12 01.42393 01 32 44.413 +27 17 59.42 24.5r 12UR177 568 C~1CL9 2012 08 21.50331 01 45 29.520 +28 14 17.18 12UR177 568 C~1CL9 2012 08 23.60417 01 45 25.283 +28 14 38.63 24.5r 12UR177 568 C~1CL9 2012 08 24.41397 01 45 23.580 +28 14 46.38 12UR177 568 C~1CL9 2012 08 24.46174 01 45 23.464 +28 14 46.61 12UR177 568 C~1CL9 2012 08 28.50703 01 45 14.007 +28 15 18.15 12UR177 568 C~1CL9 2012 09 12.48289 01 44 28.295 +28 15 46.06 12UR177 568 C~1CL9 2012 09 14.45580 01 44 21.130 +28 15 39.28 24.2r 12UR177 568 C~1CL9 2012 10 19.39438 01 41 46.307 +28 07 15.80 23.9r 12UR177 568 C~1CL9 2012 10 19.40301 01 41 46.257 +28 07 15.78 12UR177 568 C~1CL9 2012 10 20.38644 01 41 41.509 +28 06 52.03 24.2r 12UR177 568 C~1CL9 2012 10 21.39663 01 41 36.631 +28 06 27.45 24.1r 12UR177 568 C~1CL9 2012 10 21.43518 01 41 36.446 +28 06 26.57 24.1r 12UR177 568 C~1CL9 2012 10 21.47359 01 41 36.255 +28 06 25.61 24.4r 12UR177 568 C~1CL9 2012 11 14.38458 01 39 45.455 +27 54 53.28 24.4r 12UR177 568 C~1CL9 2012 11 16.30609 01 39 37.354 +27 53 50.94 24.3r 12UR177 568 C~1CL9 2013 01 14.25495 01 37 40.600 +27 24 13.59 24.5r 12UR177 568 C~1CL9 2013 01 14.26012 01 37 40.606 +27 24 13.38 24.3r 12UR177 568 C~1CL9 2013 01 14.29462 01 37 40.633 +27 24 12.46 24.3r 12UR177 568 C~1CL9 2013 02 03.31560 01 38 15.070 +27 18 57.57 24.2r 12UR177 568 C~1CL9 2013 02 09.28310 01 38 32.721 +27 18 08.41 24.4r 12UR177 568 C~1CL9 2013 02 09.28815 01 38 32.737 +27 18 08.39 24.5r 12UR177 568 C~1CL9 2013 02 14.22894 01 38 49.752 +27 17 44.62 24.3r 12UR177 568 C~1CL9 2017 12 20.11515 02 09 44.653 +29 44 51.86 23.6R 12UR177 G37 C~2Uwm 2017 12 20.18599 02 09 44.465 +29 44 49.50 12UR177 G37 C~2Uwm
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 0.19 0.00 0.19
2 0.0001 0.00 0.02 0.00 -0.17
3 0.0110 0.00 -0.11 0.00 -0.10
4 0.2492 0.00 -0.01 0.00 -0.11
5 0.9722 0.00 -0.06 0.00 -0.18
6 0.9779 0.00 -0.05 0.00 -0.11
7 0.9801 0.00 0.12 0.00 0.16
8 0.9803 0.00 -0.02 0.00 -0.06
9 0.9913 0.00 -0.06 0.00 0.01
10 1.0323 0.00 -0.04 0.00 0.03
11 1.0377 0.00 -0.10 0.00 0.09
12 1.1334 0.00 -0.07 0.00 0.02
13 1.1334 0.00 -0.19 0.00 0.20
14 1.1361 0.00 -0.12 0.00 0.02
15 1.1389 0.00 -0.03 0.00 0.10
16 1.1390 0.00 0.04 0.00 0.17
17 1.1391 0.00 0.01 0.00 0.16
18 1.2046 0.00 0.01 0.00 -0.02
19 1.2098 0.00 0.02 0.00 -0.09
20 1.3712 0.00 0.06 0.00 0.12
21 1.3712 0.00 0.10 0.00 0.02
22 1.3713 0.00 0.16 0.00 -0.16
23 1.4261 0.00 -0.12 0.00 0.07
24 1.4425 0.00 0.03 0.00 -0.18
25 1.4425 0.00 0.03 0.00 -0.17
26 1.4560 0.00 0.06 0.00 -0.12
27 6.3017 0.00 -0.00 0.00 0.02
28 6.3019 0.00 0.03 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.
12UR177 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 74.957 74.957 74.958 ecceobj 0.497 0.497 0.497 incobj 16.351 16.351 16.351 qmin 36.072 36.153 36.145 qmax 113.404 113.369 113.511 amean 73.650 73.684 73.711 amin 72.584 72.650 72.626 amax 75.137 75.149 75.199 emean 0.494 0.493 0.495 emin 0.480 0.479 0.481 emax 0.510 0.510 0.510 imean 17.369 17.509 17.300 imin 16.561 16.711 16.644 imax 18.172 18.289 18.173 excite_mean 0.577 0.578 0.578 fracstop 1.000 1.000 1.000 cjmean 3.004 3.003 3.003 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 179.3 176.9 174.2 kozaiamp 180.0 180.0 180.0