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: 07TQ436 # Created Sat Apr 27 01:13:02 2024 # Orbit generated from Bernstein formalism # Fitting 7 observations of 7 # Arc: 53.81d # First observation: 2007/10/14 # Last observation: 2007/12/07 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.054917 0.000002 0.006841 0.036452 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 10.15 DOF: 9 RMS: 0.21 # Min/Max residuals: -0.28 0.42 # Exact a, adot, b, bdot, g, gdot: 1.819686E-05 4.227155E-02 3.726262E-06 7.021194E-03 3.451870E-02 2.938038E-02 # Covariance matrix: 5.7928E-13 1.8453E-10 2.0860E-14 -3.1615E-12 2.6874E-11 -2.7522E-09 1.8453E-10 3.9248E-07 4.7845E-11 -7.1877E-09 5.3889E-08 -6.3403E-06 2.0860E-14 4.7845E-11 4.5335E-13 -4.5035E-12 6.5184E-12 -7.8734E-10 -3.1615E-12 -7.1877E-09 -4.5035E-12 1.8940E-10 -9.7994E-10 1.1809E-07 2.6874E-11 5.3889E-08 6.5184E-12 -9.7994E-10 7.4260E-09 -8.6350E-07 -2.7522E-09 -6.3403E-06 -7.8734E-10 1.1809E-07 -8.6350E-07 1.0442E-04 # lat0 lon0 xBary yBary zBary JD0 -0.262153 14.456766 -0.108534 -0.004485 -0.994015 2454387.782024 # Heliocentric elements and errors Epoch: 2454380.5000 = 2007/10/07 Mean Anomaly: 6.10348 +/- 11.911 Argument of Peri: 279.83944 +/- 5.540 Long of Asc Node: 16.17691 +/- 0.026 Inclination: 9.45794 +/- 0.159 Eccentricity: 0.82152398 +/- 0.2610 Semi-Major Axis: 107.10384184 +/- 139.0912 Time of Perihelion: 2447516.4397 +/- 807.9 Perihelion: 19.11546738 +/- 37.3877 Aphelion: 195.09221630 +/- 254.8957 Period (y) 1108.4492 +/- 2159.24 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.98689350 +/- 0.0700 Ecliptic Y 7.58110842 +/- 0.0180 Ecliptic Z -0.13242481 +/- 0.0003 Ecliptic XDOT 0.00142824 +/- 0.0008 Ecliptic YDOT 0.00382772 +/- 0.0002 Ecliptic ZDOT 0.00054612 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.96215506 +/- 0.0679 Geocenter to KBO 28.96980722 +/- 0.0723 # Hcoef: 11.15
The following table shows the complete astrometric record for 07TQ436. 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 (07TQ436) followed by the observatory code and reference code for the source of the astrometry.
2007 10 14.28127 00 53 38.40 +05 27 26.7 25.5R 07TQ436 568 Cz6780 2007 10 14.34479 00 53 37.98 +05 27 24.4 07TQ436 568 Cz6780 2007 10 14.40680 00 53 37.59 +05 27 22.3 07TQ436 568 Cz6780 2007 11 14.09305 00 50 47.45 +05 11 52.8 07TQ436 807 Cz6780 2007 11 14.14236 00 50 47.25 +05 11 51.6 07TQ436 807 Cz6780 2007 12 07.06250 00 49 27.85 +05 05 16.5 07TQ436 807 Cz6780 2007 12 07.09027 00 49 27.78 +05 05 16.4 07TQ436 807 Cz6780
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 0.24 0.00 -0.11
2 0.0002 -6.67 -0.12 0.31 -0.10
3 0.0003 -12.86 -0.12 0.62 -0.07
4 0.0844 -2715.74 -0.21 128.35 0.42
5 0.0845 -2718.96 0.21 128.40 0.24
6 0.1472 -3965.84 0.01 224.85 -0.28
7 0.1473 -3966.84 -0.00 225.16 -0.10
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.
07TQ436 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