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: 04VG131 # Created Sun Dec 22 02:08:47 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 16.99y # First observation: 2004/11/09 # Last observation: 2021/11/05 # Chi-squared of fit: 43.68 DOF: 28 RMS: 0.28 # Min/Max residuals: -0.50 0.79 # Exact a, adot, b, bdot, g, gdot: 1.994272E-05 4.293639E-02 3.099360E-06 1.039882E-02 3.239941E-02 2.819322E-03 # Covariance matrix: 2.8720E-13 -2.7379E-13 3.5122E-14 -6.3524E-14 2.9332E-13 -3.2515E-13 -2.7379E-13 4.3897E-13 -5.7978E-14 1.0466E-13 -4.1746E-13 5.3570E-13 3.5122E-14 -5.7978E-14 1.3123E-13 -2.1982E-14 5.3212E-14 -7.1076E-14 -6.3524E-14 1.0466E-13 -2.1982E-14 2.6902E-14 -9.8264E-14 1.2828E-13 2.9332E-13 -4.1746E-13 5.3212E-14 -9.8264E-14 1.1218E-12 -5.0334E-13 -3.2515E-13 5.3570E-13 -7.1076E-14 1.2828E-13 -5.0334E-13 6.5659E-13 # lat0 lon0 xBary yBary zBary JD0 -0.821595 39.196218 -0.135534 -0.013999 -0.983441 2453318.881743 # Heliocentric elements and errors Epoch: 2453318.5000 = 2004/11/09 Mean Anomaly: 3.24939 +/- 0.002 Argument of Peri: 345.22194 +/- 0.002 Long of Asc Node: 42.72460 +/- 0.000 Inclination: 13.66057 +/- 0.000 Eccentricity: 0.50518627 +/- 0.0002 Semi-Major Axis: 63.93229709 +/- 0.0251 Time of Perihelion: 2451633.1942 +/- 1.4 Perihelion: 31.63457826 +/- 0.0169 Aphelion: 96.23001593 +/- 0.0394 Period (y) 511.1974 +/- 0.30 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.58923918 +/- 0.0008 Ecliptic Y 20.23161746 +/- 0.0006 Ecliptic Z -0.44248033 +/- 0.0000 Ecliptic XDOT -0.00209977 +/- 0.0000 Ecliptic YDOT 0.00296318 +/- 0.0000 Ecliptic ZDOT 0.00087532 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.84559627 +/- 0.0007 Geocenter to KBO 30.86475988 +/- 0.0010 # Hcoef: 8.47
The following table shows the complete astrometric record for 04VG131. 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 (04VG131) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.38100 02 28 17.40 +13 46 50.2 23.9g 04VG131 568 C~0X5c 2004 11 09.40749 02 28 17.23 +13 46 49.3 23.7g 04VG131 568 C~0X5c 2004 11 09.43348 02 28 17.07 +13 46 48.8 23.4g 04VG131 568 C~0X5c 2004 11 10.29631 02 28 11.93 +13 46 29.2 23.8g 04VG131 568 C~0X5c 2005 01 05.21317 02 24 13.88 +13 33 36.1 23.5i 04VG131 568 C~0X5c 2005 01 05.26915 02 24 13.79 +13 33 36.1 23.7i 04VG131 568 C~0X5c 2005 01 05.33911 02 24 13.68 +13 33 36.3 23.6i 04VG131 568 C~0X5c 2005 10 25.50591 02 38 40.20 +15 12 18.1 04VG131 568 C~0X5c 2005 10 25.53845 02 38 39.99 +15 12 17.3 04VG131 568 C~0X5c 2005 10 25.57213 02 38 39.78 +15 12 16.6 04VG131 568 C~0X5c 2005 10 26.54602 02 38 33.92 +15 11 55.3 04VG131 568 C~0X5c 2006 10 23.23995 02 47 48.68 +16 30 51.5 04VG131 675 C~0X5c 2006 10 23.27984 02 47 48.50 +16 30 50.8 04VG131 675 C~0X5c 2006 10 23.33030 02 47 48.16 +16 30 49.8 23. R 04VG131 675 C~0X5c 2021 11 05.424520 05 01 23.243 +30 38 41.64 23.9G 04VG131 G37 C~5B8X 2021 11 05.465730 05 01 23.034 +30 38 41.48 04VG131 G37 C~5B8X 2021 11 05.507400 05 01 22.806 +30 38 41.91 04VG131 G37 C~5B8X
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 0.45
2 0.0001 0.00 -0.04 0.00 0.16
3 0.0001 0.00 -0.05 0.00 0.26
4 0.0025 0.00 0.50 0.00 0.40
5 0.1556 0.00 -0.13 0.00 -0.11
6 0.1558 0.00 -0.08 0.00 -0.09
7 0.1559 0.00 0.01 0.00 0.13
8 0.9586 0.00 -0.20 0.00 -0.42
9 0.9587 0.00 -0.36 0.00 -0.50
10 0.9588 0.00 -0.42 0.00 -0.44
11 0.9614 0.00 -0.11 0.00 -0.26
12 1.9517 0.00 -0.11 0.00 0.06
13 1.9518 0.00 0.79 0.00 0.16
14 1.9519 0.00 0.26 0.00 0.17
15 16.9885 0.00 -0.06 0.00 0.17
16 16.9886 0.00 0.08 0.00 -0.17
17 16.9887 0.00 -0.05 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.
04VG131 quality flag:3 Type: CENTAURS CENTAURS CENTAURS axisobj 65.488 65.488 65.488 ecceobj 0.517 0.517 0.517 incobj 13.613 13.613 13.613 qmin 29.843 29.828 29.964 qmax 99.479 121.178 100.116 amean 52.584 66.158 56.775 amin 46.773 58.749 50.295 amax 65.578 76.382 65.903 emean 0.401 0.527 0.449 emin 0.327 0.470 0.376 emax 0.517 0.586 0.519 imean 13.218 11.488 12.610 imin 8.887 9.125 10.003 imax 15.974 14.016 15.112 excite_mean 0.464 0.564 0.500 fracstop 1.000 1.000 1.000 cjmean 2.924 2.921 2.922 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 177.9 168.3 167.9 kozaiamp 179.9 180.0 180.0