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: 04VU75 # Created Fri Nov 22 02:08:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 14.00y # First observation: 2004/11/09 # Last observation: 2018/11/09 # Chi-squared of fit: 61.25 DOF: 40 RMS: 0.29 # Min/Max residuals: -0.57 0.52 # Exact a, adot, b, bdot, g, gdot: 1.481836E-05 2.398836E-02 -2.411814E-07 1.168810E-03 2.439461E-02 2.805234E-03 # Covariance matrix: 1.6120E-13 -7.0557E-14 2.7142E-15 -2.8356E-15 4.4946E-14 -1.8284E-13 -7.0557E-14 6.8696E-14 -2.8551E-15 3.0853E-15 -7.7260E-14 1.9970E-13 2.7142E-15 -2.8551E-15 1.0513E-13 -1.0695E-14 1.5179E-15 -8.7304E-15 -2.8356E-15 3.0853E-15 -1.0695E-14 2.8752E-15 -3.1555E-15 9.3623E-15 4.4946E-14 -7.7260E-14 1.5179E-15 -3.1555E-15 4.8452E-13 -2.1518E-13 -1.8284E-13 1.9970E-13 -8.7304E-15 9.3623E-15 -2.1518E-13 6.0547E-13 # lat0 lon0 xBary yBary zBary JD0 -1.856587 19.570029 -0.454891 -0.028504 -0.882089 2453318.678513 # Heliocentric elements and errors Epoch: 2453318.5000 = 2004/11/09 Mean Anomaly: 66.41391 +/- 0.032 Argument of Peri: 246.14235 +/- 0.040 Long of Asc Node: 53.02276 +/- 0.001 Inclination: 3.35008 +/- 0.000 Eccentricity: 0.13110755 +/- 0.0001 Semi-Major Axis: 43.48095369 +/- 0.0059 Time of Perihelion: 2433998.6592 +/- 10.1 Perihelion: 37.78027240 +/- 0.0056 Aphelion: 49.18163498 +/- 0.0070 Period (y) 286.7192 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.27909218 +/- 0.0011 Ecliptic Y 14.44912395 +/- 0.0004 Ecliptic Z -1.32807506 +/- 0.0000 Ecliptic XDOT -0.00060247 +/- 0.0000 Ecliptic YDOT 0.00263637 +/- 0.0000 Ecliptic ZDOT 0.00012100 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.87339625 +/- 0.0010 Geocenter to KBO 40.99262478 +/- 0.0012 # Hcoef: 6.64
The following table shows the complete astrometric record for 04VU75. 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 (04VU75) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.17777 01 15 04.81 +05 56 15.2 22.3R 04VU75 695 Cm0643 2004 11 10.24839 01 15 00.54 +05 55 51.8 04VU75 695 Cm0643 2004 11 10.34874 01 15 00.12 +05 55 49.4 04VU75 695 Cm0643 2004 12 10.07816 01 13 29.41 +05 48 01.7 22.2R 04VU75 688 Cm1784 2004 12 10.17403 01 13 29.23 +05 48 00.0 04VU75 688 Cm1784 2004 12 11.07140 01 13 27.54 +05 47 52.3 22.9R 04VU75 688 Cm1784 2004 12 11.15282 01 13 27.35 +05 47 51.9 04VU75 688 Cm1784 2005 09 28.306978 01 23 11.89 +06 48 45.8 22.8V 04VU75 645 C~1PqZ 2005 09 28.307807 01 23 11.89 +06 48 45.8 22.2V 04VU75 645 C~1Pqa 2005 09 28.310295 01 23 11.87 +06 48 45.8 23.7V 04VU75 645 C~1Pqa 2006 10 19.29234 01 26 37.61 +07 13 45.0 22.1R 04VU75 695 Ct0489 2006 10 20.19936 01 26 33.48 +07 13 20.9 04VU75 695 Ct0489 2006 10 20.32997 01 26 32.86 +07 13 17.6 04VU75 695 Ct0489 2006 12 21.11941 01 23 04.20 +06 54 57.3 22.9R 04VU75 695 Ct5519 2006 12 21.24853 01 23 04.01 +06 54 56.9 04VU75 695 Ct5519 2007 11 08.27966 01 30 08.21 +07 39 20.5 04VU75 695 Cy4017 2007 11 08.31917 01 30 08.04 +07 39 19.5 04VU75 695 Cy4017 2013 10 05.42574 02 02 13.19 +11 06 36.5 23.1R 04VU75 695 C~0zdg 2013 10 05.48971 02 02 12.92 +11 06 35.0 04VU75 695 C~0zdg 2013 10 06.43854 02 02 08.84 +11 06 13.4 04VU75 695 C~0zdg 2018 11 09.25312 02 23 50.46 +13 21 24.9 04VU75 G37 C~5Pnt 2018 11 09.30557 02 23 50.22 +13 21 23.8 04VU75 G37 C~5Pnt 2018 11 09.37742 02 23 49.90 +13 21 22.1 04VU75 G37 C~5Pnt
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 0.06 0.00 0.25
2 0.0029 0.00 -0.17 0.00 0.30
3 0.0032 0.00 -0.43 0.00 0.09
4 0.0846 0.00 -0.45 0.00 0.35
5 0.0849 0.00 -0.20 0.00 -0.51
6 0.0873 0.00 0.50 0.00 -0.57
7 0.0875 0.00 0.06 0.00 -0.30
8 0.8847 0.00 0.32 0.00 -0.34
9 0.8847 0.00 0.38 0.00 -0.32
10 0.8847 0.00 0.24 0.00 -0.26
11 1.9414 0.00 -0.27 0.00 0.39
12 1.9439 0.00 0.01 0.00 0.06
13 1.9443 0.00 -0.17 0.00 0.18
14 2.1135 0.00 0.33 0.00 -0.17
15 2.1138 0.00 0.15 0.00 0.03
16 2.9955 0.00 0.10 0.00 0.52
17 2.9956 0.00 0.10 0.00 0.43
18 8.9042 0.00 -0.31 0.00 0.09
19 8.9043 0.00 -0.21 0.00 0.06
20 8.9069 0.00 -0.43 0.00 0.17
21 13.9988 0.00 0.06 0.00 -0.13
22 13.9990 0.00 0.12 0.00 -0.08
23 13.9992 0.00 0.34 0.00 -0.21
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.
04VU75 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 44.028 44.028 44.028 ecceobj 0.135 0.135 0.135 incobj 3.338 3.338 3.338 qmin 37.310 37.282 37.199 qmax 50.719 50.719 50.810 amean 43.727 43.715 43.710 amin 43.263 43.262 43.262 amax 44.235 44.234 44.235 emean 0.118 0.120 0.121 emin 0.086 0.090 0.087 emax 0.147 0.147 0.150 imean 1.741 1.755 1.794 imin 0.324 0.171 0.345 imax 2.764 2.764 2.781 excite_mean 0.122 0.125 0.126 fracstop 1.000 1.000 1.000 cjmean 3.080 3.079 3.078 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 186.0 188.9 183.3 kozaiamp 180.0 179.9 180.0