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: 02TK301 # Created Wed Nov 27 02:08:21 2024 # Orbit generated from Bernstein formalism # Fitting 81 observations of 81 # Arc: 1.18d # First observation: 2002/10/06 # Last observation: 2002/10/07 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.095613 -0.000000 -0.056875 0.071962 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 125.23 DOF: 157 RMS: 0.22 # Min/Max residuals: -0.55 1.20 # Exact a, adot, b, bdot, g, gdot: 2.139472E-05 9.984200E-02 -1.251948E-05 -5.682289E-02 7.264198E-02 8.543192E-03 # Covariance matrix: 7.5670E-11 3.4423E-07 2.2481E-13 2.4158E-09 5.7043E-08 1.5149E-08 3.4423E-07 1.5670E-03 1.0234E-09 1.0993E-05 2.5965E-04 8.8288E-05 2.2481E-13 1.0234E-09 4.3814E-14 -9.2251E-12 1.6957E-10 -2.9996E-11 2.4158E-09 1.0993E-05 -9.2251E-12 8.7424E-08 1.8221E-06 3.4798E-06 5.7043E-08 2.5965E-04 1.6957E-10 1.8221E-06 4.3025E-05 1.1822E-05 1.5149E-08 8.8288E-05 -2.9996E-11 3.4798E-06 1.1822E-05 -1.7205E-02 # lat0 lon0 xBary yBary zBary JD0 -1.332099 30.789015 0.310582 -0.022109 -0.949623 2452553.943653 # Heliocentric elements and errors Epoch: 2452550.5000 = 2002/10/03 Mean Anomaly: 136.12920 +/- 354.377 Argument of Peri: 40.28837 +/- 40.288 Long of Asc Node: 207.40955 +/- 0.963 Inclination: 29.65550 +/- 9.843 Eccentricity: 0.08188504 +/- 0.0819 Semi-Major Axis: 13.86100770 +/- 2.0742 Time of Perihelion: 2464272.0648 +/- 1545331.0 Perihelion: 12.72599854 +/- 2.2169 Aphelion: 14.99601687 +/- 2.5147 Period (y) 51.6060 +/- 11.58 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 12.79682719 +/- 1.0676 Ecliptic Y 7.26944481 +/- 0.6360 Ecliptic Z -0.32019537 +/- 0.0289 Ecliptic XDOT -0.00170000 +/- -0.0017 Ecliptic YDOT 0.00336883 +/- 0.0034 Ecliptic ZDOT -0.00214833 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 14.72094219 +/- 0.9798 Geocenter to KBO 13.76614501 +/- 1.2430 # Hcoef: 13.19
The following table shows the complete astrometric record for 02TK301. 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 (02TK301) followed by the observatory code and reference code for the source of the astrometry.
2002 10 06.44291 01 56 33.08 +10 29 58.7 24.5R 02TK301 568 Cg6277 2002 10 06.44796 01 56 33.00 +10 29 58.4 02TK301 568 Cg6277 2002 10 06.45279 01 56 32.95 +10 29 57.8 02TK301 568 Cg6277 2002 10 06.45762 01 56 32.90 +10 29 57.2 02TK301 568 Cg6277 2002 10 06.46244 01 56 32.86 +10 29 56.6 02TK301 568 Cg6277 2002 10 06.46727 01 56 32.79 +10 29 56.0 02TK301 568 Cg6277 2002 10 06.47210 01 56 32.76 +10 29 55.4 02TK301 568 Cg6277 2002 10 06.47692 01 56 32.70 +10 29 55.0 02TK301 568 Cg6277 2002 10 06.48179 01 56 32.63 +10 29 54.8 02TK301 568 Cg6277 2002 10 06.48662 01 56 32.58 +10 29 54.5 02TK301 568 Cg6277 2002 10 06.49145 01 56 32.52 +10 29 53.6 02TK301 568 Cg6277 2002 10 06.49760 01 56 32.44 +10 29 53.3 02TK301 568 Cg6277 2002 10 06.50243 01 56 32.37 +10 29 53.1 02TK301 568 Cg6277 2002 10 06.50726 01 56 32.34 +10 29 52.1 02TK301 568 Cg6277 2002 10 06.51208 01 56 32.27 +10 29 51.9 02TK301 568 Cg6277 2002 10 06.51691 01 56 32.17 +10 29 52.4 02TK301 568 Cg6277 2002 10 06.52261 01 56 32.17 +10 29 50.5 02TK301 568 Cg6277 2002 10 06.52743 01 56 32.12 +10 29 49.9 02TK301 568 Cg6277 2002 10 06.53226 01 56 32.06 +10 29 49.8 02TK301 568 Cg6277 2002 10 06.54678 01 56 31.87 +10 29 48.6 02TK301 568 Cg6277 2002 10 06.55161 01 56 31.81 +10 29 48.4 02TK301 568 Cg6277 2002 10 06.55644 01 56 31.78 +10 29 47.4 02TK301 568 Cg6277 2002 10 06.56228 01 56 31.69 +10 29 46.9 02TK301 568 Cg6277 2002 10 06.56757 01 56 31.63 +10 29 46.3 02TK301 568 Cg6277 2002 10 06.57240 01 56 31.59 +10 29 45.9 02TK301 568 Cg6277 2002 10 06.57722 01 56 31.53 +10 29 45.2 02TK301 568 Cg6277 2002 10 06.58205 01 56 31.48 +10 29 44.9 02TK301 568 Cg6277 2002 10 06.58688 01 56 31.41 +10 29 44.7 02TK301 568 Cg6277 2002 10 06.59170 01 56 31.34 +10 29 44.6 02TK301 568 Cg6277 2002 10 06.59653 01 56 31.28 +10 29 44.0 02TK301 568 Cg6277 2002 10 06.60136 01 56 31.24 +10 29 43.2 02TK301 568 Cg6277 2002 10 06.60618 01 56 31.21 +10 29 42.3 02TK301 568 Cg6277 2002 10 06.61101 01 56 31.13 +10 29 42.0 02TK301 568 Cg6277 2002 10 06.61671 01 56 31.07 +10 29 41.5 02TK301 568 Cg6277 2002 10 07.33086 01 56 23.02 +10 28 31.7 02TK301 568 Cg6277 2002 10 07.33568 01 56 22.96 +10 28 31.1 02TK301 568 Cg6277 2002 10 07.34051 01 56 22.90 +10 28 31.1 02TK301 568 Cg6277 2002 10 07.34534 01 56 22.84 +10 28 30.5 02TK301 568 Cg6277 2002 10 07.35662 01 56 22.73 +10 28 28.8 02TK301 568 Cg6277 2002 10 07.36144 01 56 22.66 +10 28 28.4 02TK301 568 Cg6278 2002 10 07.36627 01 56 22.61 +10 28 27.9 02TK301 568 Cg6278 2002 10 07.37109 01 56 22.56 +10 28 27.4 02TK301 568 Cg6278 2002 10 07.37592 01 56 22.50 +10 28 26.8 02TK301 568 Cg6278 2002 10 07.38557 01 56 22.38 +10 28 26.3 02TK301 568 Cg6278 2002 10 07.39039 01 56 22.32 +10 28 25.9 02TK301 568 Cg6278 2002 10 07.39522 01 56 22.27 +10 28 25.3 02TK301 568 Cg6278 2002 10 07.40522 01 56 22.15 +10 28 24.3 02TK301 568 Cg6278 2002 10 07.41004 01 56 22.10 +10 28 23.6 02TK301 568 Cg6278 2002 10 07.41487 01 56 22.04 +10 28 23.1 02TK301 568 Cg6278 2002 10 07.41969 01 56 22.00 +10 28 22.8 02TK301 568 Cg6278 2002 10 07.42451 01 56 21.95 +10 28 22.3 02TK301 568 Cg6278 2002 10 07.43417 01 56 21.82 +10 28 21.4 02TK301 568 Cg6278 2002 10 07.43899 01 56 21.76 +10 28 20.7 02TK301 568 Cg6278 2002 10 07.44382 01 56 21.70 +10 28 20.5 02TK301 568 Cg6278 2002 10 07.44865 01 56 21.66 +10 28 20.0 02TK301 568 Cg6278 2002 10 07.47336 01 56 21.38 +10 28 17.4 02TK301 568 Cg6278 2002 10 07.47819 01 56 21.32 +10 28 16.8 02TK301 568 Cg6278 2002 10 07.48301 01 56 21.26 +10 28 16.4 02TK301 568 Cg6278 2002 10 07.48784 01 56 21.20 +10 28 15.8 02TK301 568 Cg6278 2002 10 07.49266 01 56 21.14 +10 28 15.7 02TK301 568 Cg6278 2002 10 07.49749 01 56 21.09 +10 28 15.4 02TK301 568 Cg6278 2002 10 07.50232 01 56 21.01 +10 28 15.1 02TK301 568 Cg6278 2002 10 07.50714 01 56 20.96 +10 28 14.4 02TK301 568 Cg6278 2002 10 07.51197 01 56 20.90 +10 28 13.7 02TK301 568 Cg6278 2002 10 07.51720 01 56 20.85 +10 28 12.9 02TK301 568 Cg6278 2002 10 07.52202 01 56 20.80 +10 28 12.7 02TK301 568 Cg6278 2002 10 07.52684 01 56 20.75 +10 28 12.0 02TK301 568 Cg6278 2002 10 07.53167 01 56 20.70 +10 28 11.5 02TK301 568 Cg6278 2002 10 07.55497 01 56 20.41 +10 28 09.3 02TK301 568 Cg6278 2002 10 07.55980 01 56 20.36 +10 28 08.8 02TK301 568 Cg6278 2002 10 07.56462 01 56 20.30 +10 28 08.8 02TK301 568 Cg6278 2002 10 07.56945 01 56 20.25 +10 28 08.3 02TK301 568 Cg6278 2002 10 07.57427 01 56 20.18 +10 28 07.9 02TK301 568 Cg6278 2002 10 07.57910 01 56 20.12 +10 28 07.2 02TK301 568 Cg6278 2002 10 07.59288 01 56 19.97 +10 28 05.4 02TK301 568 Cg6278 2002 10 07.59770 01 56 19.91 +10 28 05.1 02TK301 568 Cg6278 2002 10 07.60253 01 56 19.87 +10 28 04.5 02TK301 568 Cg6278 2002 10 07.60735 01 56 19.79 +10 28 03.9 02TK301 568 Cg6278 2002 10 07.61700 01 56 19.71 +10 28 03.4 02TK301 568 Cg6278 2002 10 07.62183 01 56 19.64 +10 28 03.2 02TK301 568 Cg6278 2002 10 07.62666 01 56 19.57 +10 28 02.3 02TK301 568 Cg6278
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 0.07 0.00 0.03 2 0.0000 -1.21 -0.16 0.13 0.32 3 0.0000 -2.11 -0.12 -0.18 0.17 4 0.0000 -3.01 -0.09 -0.48 0.02 5 0.0001 -3.77 0.09 -0.84 -0.18 6 0.0001 -4.95 -0.15 -1.05 -0.22 7 0.0001 -5.57 0.16 -1.45 -0.48 8 0.0001 -6.54 0.13 -1.52 -0.39 9 0.0001 -7.58 0.03 -1.35 -0.06 10 0.0001 -8.37 0.18 -1.38 0.08 11 0.0001 -9.52 -0.03 -1.91 -0.30 12 0.0001 -10.73 -0.05 -1.78 0.03 13 0.0002 -11.77 -0.15 -1.61 0.36 14 0.0002 -12.53 0.03 -2.40 -0.27 15 0.0002 -13.57 -0.07 -2.22 0.06 16 0.0002 -14.77 -0.35 -1.24 1.20 17 0.0002 -15.43 0.10 -3.02 -0.40 18 0.0002 -16.33 0.13 -3.33 -0.55 19 0.0002 -17.20 0.21 -3.12 -0.17 20 0.0003 -20.24 -0.02 -3.27 0.15 21 0.0003 -21.14 0.02 -3.15 0.43 22 0.0003 -21.91 0.19 -3.93 -0.19 23 0.0003 -23.32 -0.10 -3.94 -0.01 24 0.0003 -24.36 -0.11 -4.19 -0.09 25 0.0004 -25.05 0.13 -4.36 -0.10 26 0.0004 -26.13 -0.01 -4.71 -0.29 27 0.0004 -26.92 0.13 -4.74 -0.15 28 0.0004 -27.96 0.03 -4.57 0.18 29 0.0004 -28.96 -0.04 -4.30 0.61 30 0.0004 -30.00 -0.15 -4.56 0.51 31 0.0004 -30.83 -0.04 -5.10 0.13 32 0.0004 -31.56 0.16 -5.79 -0.40 33 0.0005 -32.77 -0.12 -5.66 -0.11 34 0.0005 -33.78 -0.02 -5.82 -0.08 35 0.0024 -169.37 0.07 -30.00 0.20 36 0.0024 -170.41 -0.03 -30.25 0.10 37 0.0025 -171.24 0.07 -29.95 0.57 38 0.0025 -172.27 -0.03 -30.20 0.47 39 0.0025 -174.39 0.05 -31.23 -0.20 40 0.0025 -175.49 -0.12 -31.25 -0.06 41 0.0025 -176.36 -0.04 -31.46 -0.11 42 0.0025 -177.22 0.03 -31.67 -0.17 43 0.0026 -178.26 -0.07 -31.93 -0.27 44 0.0026 -180.10 -0.02 -31.78 0.19 45 0.0026 -181.07 -0.05 -31.85 0.28 46 0.0026 -181.97 -0.01 -32.15 0.13 47 0.0026 -183.97 -0.07 -32.48 0.13 48 0.0026 -184.91 -0.07 -32.88 -0.12 49 0.0027 -185.91 -0.13 -33.04 -0.12 50 0.0027 -186.57 0.16 -33.11 -0.04 51 0.0027 -187.43 0.23 -33.33 -0.10 52 0.0027 -189.54 0.01 -33.50 0.04 53 0.0027 -190.62 -0.12 -33.85 -0.16 54 0.0027 -191.52 -0.08 -33.73 0.12 55 0.0028 -192.24 0.14 -34.00 0.01 56 0.0028 -197.02 0.19 -35.00 -0.19 57 0.0028 -198.06 0.10 -35.25 -0.29 58 0.0028 -199.03 0.07 -35.32 -0.20 59 0.0029 -200.07 -0.02 -35.57 -0.29 60 0.0029 -200.93 0.05 -35.36 0.08 61 0.0029 -201.73 0.20 -35.39 0.21 62 0.0029 -202.94 -0.06 -35.26 0.49 63 0.0029 -203.87 -0.06 -35.66 0.25 64 0.0029 -204.95 -0.19 -36.00 0.06 65 0.0029 -205.91 -0.13 -36.50 -0.26 66 0.0030 -206.68 0.05 -36.43 -0.03 67 0.0030 -207.61 0.05 -36.83 -0.28 68 0.0030 -208.48 0.13 -37.04 -0.33 69 0.0030 -213.25 -0.09 -37.62 -0.14 70 0.0031 -214.12 -0.01 -37.83 -0.19 71 0.0031 -214.95 0.10 -37.52 0.27 72 0.0031 -215.81 0.17 -37.73 0.22 73 0.0031 -216.92 0.01 -37.75 0.36 74 0.0031 -217.99 -0.13 -38.10 0.18 75 0.0031 -220.69 -0.14 -39.02 -0.29 76 0.0032 -221.63 -0.14 -38.99 -0.10 77 0.0032 -222.39 0.04 -39.35 -0.30 78 0.0032 -223.70 -0.33 -39.50 -0.29 79 0.0032 -224.98 0.26 -39.56 -0.02 80 0.0032 -226.02 0.16 -39.39 0.31 81 0.0032 -227.30 -0.18 -39.87 -0.01
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.
02TK301 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0