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 May 24 01:37:29 2012
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 4.02y
# First observation: 2004/10/15
# Last observation: 2008/10/24
Preliminary a, adot, b, bdot, g, gdot:
-0.001363 0.043171 0.000025 0.012140 0.032653 0.000000
# Chi-squared of fit: 98.65 DOF: 42 RMS: 0.36
# Min/Max residuals: -1.32 0.75
# Exact a, adot, b, bdot, g, gdot:
1.951603E-05 4.285654E-02 4.769614E-06 1.223076E-02 3.515567E-02 -2.696718E-03
# Covariance matrix:
3.0888E-13 -2.1989E-13 1.1840E-14 -2.9735E-14 2.1696E-13 -7.2739E-13
-2.1989E-13 3.5399E-13 -3.0818E-14 7.8973E-14 -8.1635E-14 1.7362E-12
1.1840E-14 -3.0818E-14 1.3782E-13 -5.3505E-14 -2.2894E-15 -1.7583E-13
-2.9735E-14 7.8973E-14 -5.3505E-14 4.9100E-14 7.1688E-15 4.5210E-13
2.1696E-13 -8.1635E-14 -2.2894E-15 7.1688E-15 3.9213E-13 -5.0252E-16
-7.2739E-13 1.7362E-12 -1.7583E-13 4.5210E-13 -5.0252E-16 9.7543E-12
# lat0 lon0 xBary yBary zBary JD0
3.111234 47.617745 0.429496 0.049144 -0.902412 2453293.921503
# Heliocentric elements and errors
Epoch: 2453290.5000 = 2004/10/12
Mean Anomaly: 343.42225 +/- 0.016
Argument of Peri: 36.51138 +/- 0.025
Long of Asc Node: 36.39405 +/- 0.000
Inclination: 16.28033 +/- 0.000
Eccentricity: 0.21083553 +/- 0.0001
Semi-Major Axis: 36.54868476 +/- 0.0039
Time of Perihelion: 2457006.9572 +/- 3.5
Perihelion: 28.84292346 +/- 0.0039
Aphelion: 44.25444607 +/- 0.0053
Period (y) 220.9611 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 20.06752095 +/- 0.0003
Ecliptic Y 21.35955231 +/- 0.0004
Ecliptic Z 1.54397500 +/- 0.0000
Ecliptic XDOT -0.00264297 +/- 0.0000
Ecliptic YDOT 0.00204955 +/- 0.0000
Ecliptic ZDOT 0.00093980 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 29.34824920 +/- 0.0004
Geocenter to KBO 28.44491736 +/- 0.0005
# Hcoef: 8.55
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.
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
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 -0.05 0.00 0.15 2 0.0002 -7.40 -0.13 0.33 -0.31 3 0.0679 -2429.90 -0.13 207.09 0.21 4 0.0682 -2439.42 -0.06 207.77 0.21 5 0.0708 -2539.79 -0.07 214.53 0.25 6 0.1526 -5382.82 0.35 362.58 -0.14 7 0.1528 -5391.48 -1.32 362.31 -0.71 8 0.1552 -5461.21 0.75 366.30 0.55 9 0.1555 -5468.29 0.55 365.87 -0.19 10 1.1274 4273.03 0.07 2864.55 0.12 11 1.1276 4267.75 0.19 2864.94 0.28 12 1.1277 4261.90 -0.07 2864.87 -0.02 13 1.8478 20078.56 0.10 4302.39 0.36 14 1.8505 20089.72 0.23 4316.86 -0.69 15 1.8532 20098.49 -0.06 4332.67 -0.43 16 2.0093 17499.04 -0.22 5123.53 0.03 17 2.0118 17415.43 -0.11 5133.27 0.00 18 2.0122 17404.13 -0.06 5134.70 0.06 19 3.7721 36466.23 0.32 8843.76 0.33 20 3.7721 36466.64 0.25 8843.67 0.12 21 3.7722 36467.26 0.38 8843.85 0.19 22 3.7722 36467.05 -0.31 8844.21 0.43 23 4.0245 35265.95 -0.35 10402.52 -0.35 24 4.0248 35254.65 -0.22 10403.79 -0.41
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 36.949 36.949 36.949 ecceobj 0.218 0.218 0.218 incobj 16.216 16.216 16.216 qmin 28.325 28.399 28.295 qmax 45.231 45.123 45.329 amean 36.477 36.476 36.477 amin 35.954 35.979 35.952 amax 37.042 37.006 37.048 emean 0.204 0.193 0.204 emin 0.187 0.140 0.186 emax 0.223 0.221 0.225 imean 14.098 13.747 14.559 imin 12.504 11.955 13.365 imax 16.169 16.168 16.170 excite_mean 0.318 0.306 0.324 fracstop 1.000 1.000 1.000 cjmean 2.909 2.921 2.905 libcent 0 179.6 179.7 179.9 libamp 0 140.3 139.0 141.4 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 176.8 148.6 177.9 kozaiamp 180.0 180.0 179.9