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: 05TN53 # Created Sun Dec 22 02:08:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 8.00y # First observation: 2005/10/07 # Last observation: 2013/10/06 # Chi-squared of fit: 41.59 DOF: 46 RMS: 0.22 # Min/Max residuals: -0.55 0.43 # Exact a, adot, b, bdot, g, gdot: 1.565096E-05 3.595265E-02 8.118037E-06 1.676181E-02 3.452516E-02 -2.744387E-03 # Covariance matrix: 1.3667E-13 -1.1648E-13 1.5907E-14 -4.6286E-14 9.5559E-14 -3.2237E-13 -1.1648E-13 2.5457E-13 -3.9023E-14 1.1282E-13 -6.7397E-14 7.8545E-13 1.5907E-14 -3.9023E-14 7.9897E-14 -2.9840E-14 8.3246E-15 -1.2478E-13 -4.6286E-14 1.1282E-13 -2.9840E-14 5.9981E-14 -2.5125E-14 3.6060E-13 9.5559E-14 -6.7397E-14 8.3246E-15 -2.5125E-14 2.5938E-13 -1.7543E-13 -3.2237E-13 7.8545E-13 -1.2478E-13 3.6060E-13 -1.7543E-13 2.5103E-12 # lat0 lon0 xBary yBary zBary JD0 -0.637696 7.763112 -0.106992 -0.010977 -0.998062 2453650.597203 # Heliocentric elements and errors Epoch: 2453650.5000 = 2005/10/07 Mean Anomaly: 276.07162 +/- 0.039 Argument of Peri: 89.97646 +/- 0.050 Long of Asc Node: 9.28477 +/- 0.000 Inclination: 25.05336 +/- 0.000 Eccentricity: 0.06546937 +/- 0.0000 Semi-Major Axis: 30.03811686 +/- 0.0020 Time of Perihelion: 2467669.3967 +/- 8.1 Perihelion: 28.07154038 +/- 0.0022 Aphelion: 32.00469335 +/- 0.0025 Period (y) 164.6331 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.66752774 +/- 0.0004 Ecliptic Y 4.15183151 +/- 0.0001 Ecliptic Z -0.32214423 +/- 0.0000 Ecliptic XDOT -0.00058401 +/- 0.0000 Ecliptic YDOT 0.00279097 +/- 0.0000 Ecliptic ZDOT 0.00133157 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.95840012 +/- 0.0004 Geocenter to KBO 28.96445132 +/- 0.0004 # Hcoef: 8.98
The following table shows the complete astrometric record for 05TN53. 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 (05TN53) followed by the observatory code and reference code for the source of the astrometry.
2005 10 07.09646 00 29 31.52 +02 29 38.7 23.3R 05TN53 304 Co7646 2005 10 07.13346 00 29 31.26 +02 29 37.4 23.5R 05TN53 304 Co7646 2005 10 07.17067 00 29 31.02 +02 29 36.2 23.4R 05TN53 304 Co7646 2005 10 08.27174 00 29 23.88 +02 29 02.5 05TN53 304 Co7646 2005 10 08.29736 00 29 23.72 +02 29 01.4 05TN53 304 Co7646 2005 10 25.11727 00 27 39.55 +02 20 50.4 23.3R 05TN53 304 Co7646 2005 10 25.15019 00 27 39.31 +02 20 49.4 05TN53 304 Co7646 2005 11 03.05494 00 26 49.89 +02 17 08.1 05TN53 304 Cq3855 2005 11 03.14090 00 26 49.44 +02 17 06.5 05TN53 304 Cq3855 2005 11 28.04928 00 25 07.04 +02 10 42.5 23.5R 05TN53 304 Cq3855 2005 11 28.10346 00 25 06.90 +02 10 42.3 23.4R 05TN53 304 Cq3855 2005 11 30.03497 00 25 01.70 +02 10 29.9 05TN53 304 Cq3855 2005 11 30.09484 00 25 01.51 +02 10 29.5 05TN53 304 Cq3855 2005 12 24.28697 00 24 34.99 +02 12 05.7 05TN53 568 Cq3855 2005 12 25.31834 00 24 35.50 +02 12 20.2 05TN53 568 Cq3855 2005 12 26.34940 00 24 36.15 +02 12 35.1 05TN53 568 Cq3855 2006 07 28.35701 00 41 32.12 +04 36 55.0 05TN53 304 Cs8726 2006 07 28.41344 00 41 32.00 +04 36 54.4 05TN53 304 Cs8726 2006 11 12.11919 00 32 07.08 +03 55 08.1 23.8R 05TN53 304 Cs8726 2006 11 13.03108 00 32 02.86 +03 54 49.3 05TN53 304 Cs8726 2006 11 13.04476 00 32 02.79 +03 54 49.1 05TN53 304 Cs8726 2007 09 18.42800 00 43 48.21 +06 03 21.8 05TN53 675 Cy6769 2007 09 18.45660 00 43 48.01 +06 03 21.1 05TN53 675 Cy6769 2013 10 05.39036 01 20 45.85 +16 11 09.9 23.0R 05TN53 695 C~0zdm 2013 10 05.45392 01 20 45.38 +16 11 08.4 05TN53 695 C~0zdm 2013 10 06.39794 01 20 38.95 +16 10 43.1 05TN53 695 C~0zdm
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 -0.02
2 0.0001 0.00 -0.06 0.00 -0.17
3 0.0002 0.00 0.01 0.00 -0.21
4 0.0032 0.00 -0.18 0.00 0.32
5 0.0033 0.00 -0.07 0.00 0.02
6 0.0493 0.00 0.39 0.00 -0.02
7 0.0494 0.00 -0.28 0.00 -0.14
8 0.0738 0.00 -0.04 0.00 -0.13
9 0.0740 0.00 0.11 0.00 0.23
10 0.1422 0.00 -0.30 0.00 0.24
11 0.1424 0.00 -0.02 0.00 0.43
12 0.1477 0.00 0.27 0.00 0.26
13 0.1478 0.00 -0.16 0.00 0.19
14 0.2141 0.00 -0.03 0.00 0.17
15 0.2169 0.00 -0.09 0.00 0.04
16 0.2197 0.00 -0.10 0.00 -0.55
17 0.8056 0.00 -0.12 0.00 0.36
18 0.8058 0.00 -0.13 0.00 -0.11
19 1.0979 0.00 0.28 0.00 -0.06
20 1.1004 0.00 0.20 0.00 -0.54
21 1.1005 0.00 0.11 0.00 -0.47
22 1.9475 0.00 0.27 0.00 0.00
23 1.9476 0.00 -0.01 0.00 0.11
24 7.9953 0.00 0.12 0.00 -0.02
25 7.9955 0.00 -0.32 0.00 0.17
26 7.9981 0.00 0.09 0.00 -0.07
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.
05TN53 quality flag:3 Type: 1:1 1:1 1:1 axisobj 30.307 30.307 30.307 ecceobj 0.067 0.067 0.067 incobj 24.940 24.940 24.940 qmin 27.556 27.555 27.556 qmax 32.791 32.792 32.791 amean 30.109 30.109 30.109 amin 29.875 29.875 29.874 amax 30.357 30.357 30.357 emean 0.057 0.057 0.057 emin 0.033 0.033 0.033 emax 0.081 0.081 0.081 imean 25.369 25.369 25.369 imin 25.139 25.139 25.139 imax 25.597 25.597 25.597 excite_mean 0.432 0.432 0.432 fracstop 1.000 1.000 1.000 cjmean 2.804 2.804 2.804 libcent 0 59.2 59.2 59.2 libamp 0 10.3 10.3 10.4 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 178.8 178.8 178.8 kozaiamp 179.9 179.9 180.0