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: 07TC418 # Created Wed Nov 27 02:08:56 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 41.82d # First observation: 2007/10/06 # Last observation: 2007/11/17 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.040584 0.000003 0.003863 0.028754 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 2.27 DOF: 13 RMS: 0.09 # Min/Max residuals: -0.19 0.17 # Exact a, adot, b, bdot, g, gdot: 1.793560E-05 3.098773E-02 2.978185E-06 4.282273E-03 2.726712E-02 6.031576E-03 # Covariance matrix: 1.0957E-12 3.1261E-10 8.3512E-14 -1.3225E-11 5.2733E-11 -6.4483E-10 3.1261E-10 9.3981E-07 2.6953E-10 -4.2423E-08 1.3954E-07 -8.0318E-06 8.3512E-14 2.6953E-10 8.7251E-13 -1.9835E-11 3.9796E-11 -2.3947E-09 -1.3225E-11 -4.2423E-08 -1.9835E-11 2.0150E-09 -6.2659E-09 3.7603E-07 5.2733E-11 1.3954E-07 3.9796E-11 -6.2659E-09 2.0859E-08 -1.1360E-06 -6.4483E-10 -8.0318E-06 -2.3947E-09 3.7603E-07 -1.1360E-06 9.1479E-05 # lat0 lon0 xBary yBary zBary JD0 -7.337411 16.389005 0.063479 -0.127555 -0.991481 2454379.740084 # Heliocentric elements and errors Epoch: 2454370.5000 = 2007/09/27 Mean Anomaly: 20.64057 +/- 19.445 Argument of Peri: 273.72307 +/- 49.690 Long of Asc Node: 58.39394 +/- 0.988 Inclination: 10.58684 +/- 0.199 Eccentricity: 0.35122664 +/- 0.2283 Semi-Major Axis: 53.87740382 +/- 8.1584 Time of Perihelion: 2446088.6470 +/- 7572.2 Perihelion: 34.95422447 +/- 13.3895 Aphelion: 72.80058318 +/- 16.5163 Period (y) 395.4742 +/- 89.83 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.87202017 +/- 0.1848 Ecliptic Y 10.48009021 +/- 0.0544 Ecliptic Z -4.68367038 +/- 0.0248 Ecliptic XDOT -0.00024268 +/- 0.0009 Ecliptic YDOT 0.00316864 +/- 0.0002 Ecliptic ZDOT 0.00034901 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 37.66392027 +/- 0.1767 Geocenter to KBO 36.67420439 +/- 0.1943 # Hcoef: 7.62
The following table shows the complete astrometric record for 07TC418. 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 (07TC418) followed by the observatory code and reference code for the source of the astrometry.
2007 10 06.23933 01 11 38.95 -00 20 08.1 22.1I 07TC418 807 Cx2653 2007 10 10.25989 01 11 19.06 -00 22 01.4 22.6I 07TC418 807 Cx2653 2007 11 11.03769 01 08 49.16 -00 34 05.8 23.1R 07TC418 807 Cx2653 2007 11 11.05518 01 08 49.08 -00 34 06.1 22.7I 07TC418 807 Cx2653 2007 11 13.03999 01 08 40.93 -00 34 36.8 23.3R 07TC418 807 Cx2653 2007 11 13.06050 01 08 40.82 -00 34 37.0 22.7I 07TC418 807 Cx2653 2007 11 15.02604 01 08 32.98 -00 35 05.4 23.2R 07TC418 807 Cx2653 2007 11 17.03864 01 08 25.18 -00 35 32.1 23.2R 07TC418 807 Cx2653 2007 11 17.06402 01 08 25.08 -00 35 32.5 22.6I 07TC418 807 Cx2653
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 0.01 0.00 -0.10
2 0.0110 -319.00 -0.01 9.13 0.12
3 0.0980 -2673.87 0.06 197.49 -0.06
4 0.0981 -2675.09 -0.03 197.67 -0.05
5 0.1035 -2799.83 0.12 215.94 -0.07
6 0.1035 -2801.43 -0.19 216.38 0.17
7 0.1089 -2920.99 -0.03 235.00 0.00
8 0.1144 -3039.34 0.05 254.95 0.03
9 0.1145 -3040.88 0.00 255.16 -0.04
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.
07TC418 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