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: 07TV431 # Created Fri Nov 22 02:08:58 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 30 observations of 30 # Arc: 10.17y # First observation: 2007/10/14 # Last observation: 2017/12/13 # Chi-squared of fit: 22.13 DOF: 54 RMS: 0.15 # Min/Max residuals: -0.44 0.64 # Exact a, adot, b, bdot, g, gdot: 2.033341E-05 4.270595E-02 1.119556E-06 1.312729E-03 3.389659E-02 -1.930930E-03 # Covariance matrix: 2.6786E-13 -6.0906E-14 2.5656E-16 -1.0236E-15 4.8983E-14 -8.1541E-14 -6.0906E-14 1.5957E-13 -1.4901E-15 4.9322E-15 1.1303E-14 3.8877E-13 2.5656E-16 -1.4901E-15 2.4461E-13 -2.7966E-14 -2.9543E-16 -3.7255E-15 -1.0236E-15 4.9322E-15 -2.7966E-14 4.1025E-15 4.2740E-16 1.2322E-14 4.8983E-14 1.1303E-14 -2.9543E-16 4.2740E-16 1.6305E-13 3.0968E-14 -8.1541E-14 3.8877E-13 -3.7255E-15 1.2322E-14 3.0968E-14 9.7124E-13 # lat0 lon0 xBary yBary zBary JD0 -0.420147 31.725431 0.188502 -0.007121 -0.981955 2454387.953084 # Heliocentric elements and errors Epoch: 2454388.5000 = 2007/10/15 Mean Anomaly: 350.60849 +/- 0.005 Argument of Peri: 2.38562 +/- 0.008 Long of Asc Node: 44.36641 +/- 0.000 Inclination: 1.80669 +/- 0.000 Eccentricity: 0.23121106 +/- 0.0000 Semi-Major Axis: 39.38089071 +/- 0.0028 Time of Perihelion: 2456743.3306 +/- 9.4 Perihelion: 30.27559325 +/- 0.0028 Aphelion: 48.48618817 +/- 0.0038 Period (y) 247.1363 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 26.02604799 +/- 0.0003 Ecliptic Y 15.86459376 +/- 0.0002 Ecliptic Z -0.21629851 +/- 0.0000 Ecliptic XDOT -0.00193956 +/- 0.0000 Ecliptic YDOT 0.00285110 +/- 0.0000 Ecliptic ZDOT 0.00010707 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.48096262 +/- 0.0003 Geocenter to KBO 29.50155952 +/- 0.0004 # Hcoef: 9.24
The following table shows the complete astrometric record for 07TV431. 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 (07TV431) followed by the observatory code and reference code for the source of the astrometry.
2007 10 14.45233 01 58 50.60 +11 40 46.3 23.8R 07TV431 568 Cz3609 2007 10 14.51370 01 58 50.22 +11 40 44.3 23.9R 07TV431 568 Cz3609 2007 10 14.57541 01 58 49.84 +11 40 42.3 07TV431 568 Cz3609 2007 11 04.08403 01 56 43.56 +11 29 34.3 07TV431 304 Cz3609 2007 11 04.09514 01 56 43.48 +11 29 34.0 07TV431 304 Cz3609 2007 12 06.14097 01 53 54.21 +11 14 46.0 07TV431 I11 Cz4080 2007 12 07.05000 01 53 50.54 +11 14 27.3 07TV431 I11 Cz4080 2007 12 07.08055 01 53 50.41 +11 14 26.7 07TV431 I11 Cz4080 2015 09 07.62902 03 18 14.808 +18 27 21.89 24.4w 07TV431 568 C~2lSI 2015 09 12.49264 03 18 05.759 +18 26 52.97 24.5w 07TV431 568 C~2lSI 2015 10 07.53854 03 16 35.350 +18 21 35.30 24.3w 07TV431 568 C~2lSI 2015 10 07.59790 03 16 35.050 +18 21 34.22 24.2w 07TV431 568 C~2lSI 2015 10 09.57780 03 16 25.173 +18 20 58.40 24.3w 07TV431 568 C~2lSI 2015 11 07.33264 03 13 32.611 +18 10 17.35 23.8r 07TV431 568 C~2lSI 2015 11 07.37479 03 13 32.332 +18 10 16.35 23.9r 07TV431 568 C~2lSI 2015 11 07.41697 03 13 32.048 +18 10 15.35 24.0r 07TV431 568 C~2lSI 2015 11 10.49950 03 13 11.644 +18 08 58.21 24.1w 07TV431 568 C~2lSI 2016 09 07.59677 03 28 03.776 +19 08 17.28 24.4w 07TV431 568 C~2lSI 2016 09 27.52706 03 27 12.150 +19 05 37.12 24.4w 07TV431 568 C~2lSI 2016 10 05.51115 03 26 38.681 +19 03 45.97 24.2w 07TV431 568 C~2lSI 2016 10 07.51560 03 26 29.295 +19 03 14.35 24.5w 07TV431 568 C~2lSI 2016 10 07.61130 03 26 28.816 +19 03 13.04 24.5w 07TV431 568 C~2lSI 2016 10 09.51605 03 26 19.519 +19 02 41.48 24.3w 07TV431 568 C~2lSI 2016 10 09.58836 03 26 19.155 +19 02 40.17 24.1w 07TV431 568 C~2lSI 2016 11 02.50259 03 23 59.536 +18 54 36.31 24.1w 07TV431 568 C~2lSI 2016 11 04.47870 03 23 46.662 +18 53 50.82 24.0w 07TV431 568 C~2lSI 2016 12 28.43500 03 18 22.553 +18 34 13.05 24.4w 07TV431 568 C~2lSI 2017 01 27.27995 03 17 09.805 +18 29 42.85 24.2w 07TV431 568 C~2lSI 2017 12 13.36234 03 29 38.625 +19 20 11.67 24.2w 07TV431 568 C~2lSJ 2017 12 13.40466 03 29 38.382 +19 20 10.60 07TV431 568 C~2lSJ
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 -0.04 0.00 -0.13 2 0.0002 0.00 -0.06 0.00 -0.15 3 0.0003 0.00 -0.05 0.00 -0.15 4 0.0565 0.00 -0.00 0.00 0.58 5 0.0565 0.00 -0.17 0.00 0.64 6 0.1443 0.00 0.02 0.00 -0.44 7 0.1467 0.00 0.19 0.00 -0.16 8 0.1468 0.00 0.13 0.00 -0.13 9 7.8992 0.00 -0.03 0.00 -0.07 10 7.9125 0.00 0.15 0.00 -0.05 11 7.9811 0.00 -0.02 0.00 -0.04 12 7.9812 0.00 -0.05 0.00 -0.06 13 7.9867 0.00 0.06 0.00 -0.01 14 8.0654 0.00 -0.01 0.00 -0.05 15 8.0655 0.00 0.04 0.00 -0.02 16 8.0656 0.00 0.03 0.00 0.03 17 8.0741 0.00 0.07 0.00 0.02 18 8.9011 0.00 0.03 0.00 0.01 19 8.9557 0.00 -0.03 0.00 0.01 20 8.9776 0.00 -0.14 0.00 -0.10 21 8.9831 0.00 0.19 0.00 -0.08 22 8.9833 0.00 0.05 0.00 0.17 23 8.9885 0.00 -0.04 0.00 0.05 24 8.9887 0.00 0.03 0.00 -0.03 25 9.0542 0.00 -0.02 0.00 0.03 26 9.0596 0.00 -0.03 0.00 0.02 27 9.2073 0.00 -0.09 0.00 0.01 28 9.2891 0.00 -0.04 0.00 0.02 29 10.1654 0.00 -0.06 0.00 0.16 30 10.1655 0.00 0.08 0.00 -0.05
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.
07TV431 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.896 39.896 39.897 ecceobj 0.241 0.241 0.241 incobj 1.803 1.803 1.803 qmin 29.819 29.820 29.819 qmax 49.723 49.715 49.728 amean 39.455 39.455 39.455 amin 39.048 39.050 39.047 amax 39.949 39.946 39.951 emean 0.227 0.227 0.227 emin 0.211 0.210 0.211 emax 0.245 0.245 0.245 imean 1.357 1.357 1.358 imin 0.629 0.630 0.629 imax 2.365 2.365 2.367 excite_mean 0.229 0.229 0.229 fracstop 1.000 1.000 1.000 cjmean 2.992 2.992 2.992 libcent 0 180.6 180.7 180.5 libamp 0 56.0 56.0 56.0 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 196.6 196.5 196.6 kozaiamp 179.9 180.0 180.0