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: 04TX357 # Created Thu Nov 21 02:08:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 21.25y # First observation: 1999/10/13 # Last observation: 2021/01/11 # Chi-squared of fit: 130.55 DOF: 58 RMS: 0.36 # Min/Max residuals: -1.25 0.67 # Exact a, adot, b, bdot, g, gdot: 1.744341E-05 4.118218E-02 6.319051E-06 1.199528E-02 3.450822E-02 -4.312108E-03 # Covariance matrix: 3.7550E-13 -6.3307E-14 8.6221E-14 -1.8104E-14 9.0566E-14 -4.3224E-14 -6.3307E-14 1.2299E-14 -1.7716E-14 3.7204E-15 -1.7063E-14 8.8355E-15 8.6221E-14 -1.7716E-14 1.3408E-13 -1.3611E-14 3.3050E-14 -1.4044E-14 -1.8104E-14 3.7204E-15 -1.3611E-14 2.0418E-15 -6.9028E-15 2.9471E-15 9.0566E-14 -1.7063E-14 3.3050E-14 -6.9028E-15 1.2542E-13 -1.9251E-14 -4.3224E-14 8.8355E-15 -1.4044E-14 2.9471E-15 -1.9251E-14 7.1736E-15 # lat0 lon0 xBary yBary zBary JD0 -0.383383 35.622882 0.272788 -0.006586 -0.951673 2451464.880896 # Heliocentric elements and errors Epoch: 2451464.5000 = 1999/10/13 Mean Anomaly: 336.83050 +/- 1.342 Argument of Peri: 34.73154 +/- 0.000 Long of Asc Node: 36.37171 +/- 0.000 Inclination: 16.21469 +/- 0.000 Eccentricity: 0.21736216 +/- 0.0012 Semi-Major Axis: 36.94525383 +/- 0.0003 Time of Perihelion: 2456743.4870 +/- 305.8 Perihelion: 28.91475366 +/- 0.0436 Aphelion: 44.97575401 +/- 0.0436 Period (y) 224.5671 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.49499153 +/- 0.0014 Ecliptic Y 17.21330047 +/- 0.0010 Ecliptic Z -0.19371500 +/- 0.0000 Ecliptic XDOT -0.00218053 +/- 0.0000 Ecliptic YDOT 0.00246847 +/- 0.0000 Ecliptic ZDOT 0.00095404 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.93899714 +/- 0.0013 Geocenter to KBO 28.97869636 +/- 0.0018 # Hcoef: 8.64
The following table shows the complete astrometric record for 04TX357. 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 (04TX357) followed by the observatory code and reference code for the source of the astrometry.
1999 10 13.380153 02 13 48.48 +13 02 04.7 04TX357 645 C~1SKy 1999 10 13.380982 02 13 48.47 +13 02 04.6 04TX357 645 C~1SKy 1999 10 13.383470 02 13 48.46 +13 02 04.6 04TX357 645 C~1SKy 2004 10 15.42076 02 56 54.10 +20 04 16.1 22.2R 04TX357 695 Cm0609 2004 10 15.50089 02 56 53.59 +20 04 14.3 04TX357 695 Cm0609 2004 11 09.22177 02 54 04.77 +19 55 55.9 22.3R 04TX357 695 Cm0609 2004 11 09.31417 02 54 04.11 +19 55 53.8 04TX357 695 Cm0609 2004 11 10.29685 02 53 57.16 +19 55 31.2 04TX357 695 Cm0609 2004 12 10.15688 02 50 41.47 +19 44 02.9 23.2R 04TX357 688 Cm1767 2004 12 10.24016 02 50 40.89 +19 44 00.1 04TX357 688 Cm1767 2004 12 11.11947 02 50 36.09 +19 43 43.4 21.8R 04TX357 688 Cm1767 2004 12 11.20271 02 50 35.62 +19 43 40.9 04TX357 688 Cm1767 2005 12 01.21277 03 00 48.35 +21 10 10.7 22.7R 04TX357 695 Cs2691 2005 12 01.26886 03 00 47.98 +21 10 09.6 04TX357 695 Cs2691 2005 12 01.32709 03 00 47.58 +21 10 07.9 04TX357 695 Cs2691 2006 08 21.33972 03 18 31.60 +22 42 55.7 21.9R 04TX357 807 Cs2691 2006 08 22.32390 03 18 32.11 +22 43 12.4 04TX357 807 Cs2691 2006 08 23.31162 03 18 32.43 +22 43 29.8 04TX357 807 Cs2691 2006 10 19.31756 03 15 17.67 +22 45 16.8 22.5R 04TX357 695 Ct0489 2006 10 20.24785 03 15 11.69 +22 45 04.9 04TX357 695 Ct0489 2006 10 20.37108 03 15 10.88 +22 45 03.4 04TX357 695 Ct0489 2008 07 24.18782 03 36 11.76 +24 58 37.6 25.9R 04TX357 250 S~06Al 2008 07 24.19407 03 36 11.79 +24 58 37.6 04TX357 250 S~06Al 2008 07 24.20032 03 36 11.83 +24 58 37.9 04TX357 250 S~06Al 2008 07 24.20657 03 36 11.81 +24 58 38.2 04TX357 250 S~06Al 2008 10 24.37121 03 34 22.52 +25 19 15.1 23.5r 04TX357 695 C~0gMC 2008 10 24.49233 03 34 21.71 +25 19 13.9 23.4r 04TX357 695 C~0gMC 2014 09 26.42446 04 41 16.41 +31 52 33.3 24.3R 04TX357 695 C~1LJN 2014 09 26.46908 04 41 16.34 +31 52 34.3 04TX357 695 C~1LJN 2021 01 11.295310 05 42 24.043 +36 31 42.87 22.9G 04TX357 G37 C~4Ty0 2021 01 11.340940 05 42 23.703 +36 31 42.30 04TX357 G37 C~4Ty0 2021 01 11.385940 05 42 23.350 +36 31 41.98 04TX357 G37 C~4Ty0
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 0.34 0.00 -0.06
2 0.0000 0.00 0.27 0.00 -0.14
3 0.0000 0.00 0.36 0.00 -0.08
4 5.0076 0.00 -0.22 0.00 -0.03
5 5.0079 0.00 -0.16 0.00 -0.49
6 5.0755 0.00 -0.32 0.00 0.01
7 5.0758 0.00 -0.26 0.00 0.02
8 5.0785 0.00 -0.28 0.00 0.07
9 5.1602 0.00 0.26 0.00 -0.17
10 5.1605 0.00 -1.25 0.00 -1.21
11 5.1629 0.00 0.46 0.00 0.60
12 5.1631 0.00 0.48 0.00 -0.17
13 6.1351 0.00 -0.04 0.00 0.12
14 6.1352 0.00 0.03 0.00 0.31
15 6.1354 0.00 -0.14 0.00 -0.05
16 6.8555 0.00 -0.02 0.00 0.45
17 6.8582 0.00 0.40 0.00 -0.52
18 6.8609 0.00 0.03 0.00 -0.35
19 7.0169 0.00 -0.27 0.00 0.08
20 7.0195 0.00 -0.14 0.00 0.08
21 7.0198 0.00 -0.11 0.00 0.15
22 8.7798 0.00 0.27 0.00 0.67
23 8.7798 0.00 0.24 0.00 0.46
24 8.7798 0.00 0.36 0.00 0.55
25 8.7798 0.00 -0.42 0.00 0.64
26 9.0321 0.00 -0.27 0.00 -0.08
27 9.0325 0.00 -0.12 0.00 -0.11
28 14.9543 0.00 -0.20 0.00 0.02
29 14.9544 0.00 0.02 0.00 0.02
30 21.2482 0.00 -0.03 0.00 -0.23
31 21.2484 0.00 0.13 0.00 -0.31
32 21.2485 0.00 -0.01 0.00 -0.13
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.
04TX357 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.946 36.946 36.947 ecceobj 0.218 0.218 0.218 incobj 16.215 16.215 16.215 qmin 27.868 28.058 28.301 qmax 45.650 45.324 45.214 amean 36.476 36.476 36.476 amin 35.986 36.000 35.992 amax 37.021 37.018 37.031 emean 0.203 0.209 0.206 emin 0.151 0.188 0.186 emax 0.236 0.227 0.223 imean 14.565 12.747 13.061 imin 12.793 10.221 9.914 imax 17.123 16.144 16.145 excite_mean 0.324 0.305 0.307 fracstop 1.000 1.000 1.000 cjmean 2.910 2.924 2.921 libcent 0 179.8 180.1 180.4 libamp 0 136.1 135.8 138.2 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 165.9 177.4 174.3 kozaiamp 179.9 180.0 179.9