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: 09UF156 # Created Tue Apr 1 01:09:07 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 19 observations of 19 # Arc: 8.65y # First observation: 2005/02/10 # Last observation: 2013/10/06 # Chi-squared of fit: 153.27 DOF: 32 RMS: 0.50 # Min/Max residuals: -0.80 1.43 # Exact a, adot, b, bdot, g, gdot: 1.475745E-05 2.239696E-02 1.025005E-07 3.390648E-04 2.322497E-02 -8.914713E-04 # Covariance matrix: 4.8198E-13 -1.4900E-13 1.4688E-15 -1.3166E-15 -7.2686E-14 -4.5914E-13 -1.4900E-13 9.6301E-14 -1.9349E-15 5.5247E-16 -9.6625E-14 2.9685E-13 1.4688E-15 -1.9349E-15 3.2922E-13 -5.4720E-14 4.8308E-15 -4.9440E-15 -1.3166E-15 5.5247E-16 -5.4720E-14 1.1829E-14 2.0226E-15 3.8215E-15 -7.2686E-14 -9.6625E-14 4.8308E-15 2.0226E-15 7.9498E-13 1.4537E-13 -4.5914E-13 2.9685E-13 -4.9440E-15 3.8215E-15 1.4537E-13 1.3865E-12 # lat0 lon0 xBary yBary zBary JD0 -0.934881 26.688047 -0.893677 0.006813 0.410611 2453411.741833 # Heliocentric elements and errors Epoch: 2453412.5000 = 2005/02/11 Mean Anomaly: 276.46577 +/- 0.341 Argument of Peri: 39.11769 +/- 0.362 Long of Asc Node: 74.61384 +/- 0.008 Inclination: 1.29622 +/- 0.000 Eccentricity: 0.02023233 +/- 0.0001 Semi-Major Axis: 42.73204760 +/- 0.0071 Time of Perihelion: 2477087.5531 +/- 98.7 Perihelion: 41.86747876 +/- 0.0073 Aphelion: 43.59661644 +/- 0.0076 Period (y) 279.3436 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.69199830 +/- 0.0015 Ecliptic Y 19.95037446 +/- 0.0007 Ecliptic Z -0.70252348 +/- 0.0000 Ecliptic XDOT -0.00127930 +/- 0.0000 Ecliptic YDOT 0.00230488 +/- 0.0000 Ecliptic ZDOT 0.00004175 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.65206723 +/- 0.0013 Geocenter to KBO 43.05716575 +/- 0.0017 # Hcoef: 6.43
The following table shows the complete astrometric record for 09UF156. 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 (09UF156) followed by the observatory code and reference code for the source of the astrometry.
2005 02 10.24109 01 40 24.41 +09 25 10.1 09UF156 568 C~0j6a 2005 02 10.24719 01 40 24.41 +09 25 10.1 09UF156 568 C~0j6a 2005 02 10.25329 01 40 24.44 +09 25 10.3 09UF156 568 C~0j6a 2008 10 29.408969 02 02 56.23 +11 32 58.3 22.4V 09UF156 645 C~1GH4 2008 10 29.409799 02 02 56.23 +11 32 58.3 22.3V 09UF156 645 C~1GH4 2008 10 29.412286 02 02 56.22 +11 32 58.2 23.3V 09UF156 645 C~1GH4 2009 10 18.33904 02 08 54.11 +12 05 59.4 22.7r 09UF156 568 C~0j6a 2009 10 18.44508 02 08 53.62 +12 05 56.8 22.6r 09UF156 568 C~0j6a 2009 10 18.56664 02 08 53.05 +12 05 53.8 22.8r 09UF156 568 C~0j6a 2009 11 21.20882 02 06 20.51 +11 52 44.2 22.6r 09UF156 568 C~0j6a 2009 11 21.22573 02 06 20.47 +11 52 44.1 22.6r 09UF156 568 C~0j6a 2009 11 21.50947 02 06 19.20 +11 52 40.1 22.6r 09UF156 568 C~0j6a 2009 12 21.27743 02 04 41.74 +11 44 36.3 22.6r 09UF156 568 C~0j6a 2009 12 21.38817 02 04 41.53 +11 44 34.5 22.8r 09UF156 568 C~0j6a 2010 10 15.37300 02 14 15.89 +12 35 17.6 09UF156 675 C~0j6a 2010 10 15.40463 02 14 15.74 +12 35 17.1 09UF156 675 C~0j6a 2013 10 05.51338 02 30 27.16 +14 00 40.7 22.3R 09UF156 695 C~0zfo 2013 10 06.35110 02 30 23.72 +14 00 23.7 09UF156 695 C~0zfo 2013 10 06.47087 02 30 23.20 +14 00 21.0 09UF156 695 C~0zfo
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 0.09 0.00 0.06
2 0.0000 0.00 -0.18 0.00 -0.05
3 0.0000 0.00 0.01 0.00 0.04
4 3.7157 0.00 0.45 0.00 -0.77
5 3.7157 0.00 0.51 0.00 -0.75
6 3.7157 0.00 0.53 0.00 -0.79
7 4.6847 0.00 -0.47 0.00 0.74
8 4.6850 0.00 -0.37 0.00 0.69
9 4.6854 0.00 -0.39 0.00 0.62
10 4.7775 0.00 0.09 0.00 -0.80
11 4.7775 0.00 0.55 0.00 -0.54
12 4.7783 0.00 -0.58 0.00 1.43
13 4.8598 0.00 -0.55 0.00 0.78
14 4.8601 0.00 0.12 0.00 0.14
15 5.6759 0.00 -0.02 0.00 -0.27
16 5.6760 0.00 -0.09 0.00 -0.03
17 8.6496 0.00 0.07 0.00 -0.04
18 8.6519 0.00 0.20 0.00 -0.10
19 8.6522 0.00 -0.00 0.00 -0.36
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.
09UF156 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.253 43.253 43.253 ecceobj 0.023 0.023 0.023 incobj 1.294 1.294 1.294 qmin 40.657 40.660 40.654 qmax 45.415 45.413 45.416 amean 42.940 42.940 42.940 amin 42.614 42.614 42.614 amax 43.273 43.273 43.272 emean 0.031 0.031 0.031 emin 0.010 0.010 0.010 emax 0.050 0.050 0.050 imean 1.099 1.099 1.099 imin 0.404 0.404 0.404 imax 1.563 1.563 1.563 excite_mean 0.037 0.037 0.037 fracstop 1.000 1.000 1.000 cjmean 3.087 3.087 3.087 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 177.3 177.3 177.4 kozaiamp 180.0 180.0 180.0