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: 04VZ75 # Created Fri Apr 19 01:12:11 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 15.14y # First observation: 2003/12/21 # Last observation: 2019/02/08 # Chi-squared of fit: 48.59 DOF: 44 RMS: 0.25 # Min/Max residuals: -0.87 0.49 # Exact a, adot, b, bdot, g, gdot: 1.371031E-05 2.207343E-02 1.564048E-06 -5.903598E-04 2.413600E-02 -4.291694E-03 # Covariance matrix: 2.7166E-13 -8.0485E-14 -2.8263E-15 1.7754E-15 -6.5843E-14 -1.7107E-13 -8.0485E-14 1.4771E-13 7.3465E-15 -3.0412E-15 -2.1233E-13 4.3564E-13 -2.8263E-15 7.3465E-15 1.0548E-13 -1.3107E-14 -1.1563E-14 2.2334E-14 1.7754E-15 -3.0412E-15 -1.3107E-14 3.5184E-15 4.0453E-15 -9.0980E-15 -6.5843E-14 -2.1233E-13 -1.1563E-14 4.0453E-15 5.1485E-13 -6.8144E-13 -1.7107E-13 4.3564E-13 2.2334E-14 -9.0980E-15 -6.8144E-13 1.3235E-12 # lat0 lon0 xBary yBary zBary JD0 -4.306476 58.891440 -0.486153 -0.063927 -0.849676 2452994.663049 # Heliocentric elements and errors Epoch: 2452994.5000 = 2003/12/21 Mean Anomaly: 259.84563 +/- 0.038 Argument of Peri: 11.51901 +/- 0.023 Long of Asc Node: 168.80761 +/- 0.002 Inclination: 4.46818 +/- 0.000 Eccentricity: 0.19421952 +/- 0.0001 Semi-Major Axis: 39.58376843 +/- 0.0046 Time of Perihelion: 2478301.5504 +/- 14.8 Perihelion: 31.89582774 +/- 0.0048 Aphelion: 47.27170912 +/- 0.0062 Period (y) 249.0485 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 21.36594425 +/- 0.0006 Ecliptic Y 36.35732791 +/- 0.0011 Ecliptic Z -3.11111183 +/- 0.0001 Ecliptic XDOT -0.00240148 +/- 0.0000 Ecliptic YDOT 0.00086741 +/- 0.0000 Ecliptic ZDOT -0.00003007 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.28530799 +/- 0.0010 Geocenter to KBO 41.43204449 +/- 0.0012 # Hcoef: 7.04
The following table shows the complete astrometric record for 04VZ75. 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 (04VZ75) followed by the observatory code and reference code for the source of the astrometry.
2003 12 21.162306 03 50 34.42 +15 42 24.8 23.8V 04VZ75 645 C~1S6r 2003 12 21.163135 03 50 34.42 +15 42 24.8 22.1V 04VZ75 645 C~1S6r 2003 12 21.165623 03 50 34.41 +15 42 24.8 22.7V 04VZ75 645 C~1S6r 2004 11 09.42974 03 59 06.52 +16 06 03.3 22.7R 04VZ75 695 Cm0643 2004 11 10.37622 03 59 01.87 +16 05 47.9 04VZ75 695 Cm0643 2004 11 10.45106 03 59 01.49 +16 05 46.6 04VZ75 695 Cm0643 2005 11 03.33638 04 04 53.12 +16 21 08.0 22.5R 04VZ75 695 Cs2694 2005 11 03.38305 04 04 52.90 +16 21 07.2 04VZ75 695 Cs2694 2005 11 03.43024 04 04 52.67 +16 21 06.4 04VZ75 695 Cs2694 2005 12 23.29384 04 00 48.56 +16 09 40.0 21.3R 04VZ75 568 Cs2694 2005 12 23.35187 04 00 48.29 +16 09 39.4 04VZ75 568 Cs2694 2006 08 21.34776 04 12 33.62 +16 47 10.6 22.2R 04VZ75 807 Cs2694 2006 08 22.33198 04 12 34.99 +16 47 08.1 04VZ75 807 Cs2694 2006 08 23.31953 04 12 36.37 +16 47 04.8 04VZ75 807 Cs2694 2006 10 23.467366 04 11 01.03 +16 36 53.6 20.3V 04VZ75 645 C~1S6r 2006 10 23.468195 04 11 01.03 +16 36 53.6 26.7V 04VZ75 645 C~1S6r 2006 10 23.470683 04 11 01.02 +16 36 53.5 22.6V 04VZ75 645 C~1S6r 2008 09 21.13296 04 23 15.05 +17 07 43.6 25.4R 04VZ75 250 S~06Al 2008 09 21.13990 04 23 15.05 +17 07 43.8 04VZ75 250 S~06Al 2008 09 21.14615 04 23 15.04 +17 07 43.8 04VZ75 250 S~06Al 2008 09 21.20032 04 23 14.97 +17 07 43.1 04VZ75 250 S~06Al 2008 10 22.32549 04 21 51.41 +17 01 32.4 24.6r 04VZ75 695 C~0gMD 2008 10 22.41302 04 21 51.06 +17 01 30.8 24.1r 04VZ75 695 C~0gMD 2019 02 08.168470 05 11 21.547 +18 25 48.30 23.2G 04VZ75 G37 C~2zmb 2019 02 08.270110 05 11 21.324 +18 25 48.60 04VZ75 G37 C~2zmb
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 0.25 0.00 -0.36
2 0.0000 0.00 0.30 0.00 -0.35
3 0.0000 0.00 0.31 0.00 -0.33
4 0.8878 0.00 0.16 0.00 0.21
5 0.8904 0.00 -0.12 0.00 0.17
6 0.8906 0.00 -0.23 0.00 0.09
7 1.8704 0.00 -0.15 0.00 0.10
8 1.8706 0.00 -0.13 0.00 0.03
9 1.8707 0.00 -0.23 0.00 -0.01
10 2.0072 0.00 -0.27 0.00 0.01
11 2.0074 0.00 -0.47 0.00 -0.04
12 2.6672 0.00 -0.07 0.00 -0.07
13 2.6699 0.00 -0.87 0.00 0.18
14 2.6726 0.00 -0.18 0.00 -0.11
15 2.8400 0.00 0.43 0.00 0.10
16 2.8400 0.00 0.48 0.00 0.11
17 2.8400 0.00 0.49 0.00 0.05
18 4.7528 0.00 -0.12 0.00 -0.06
19 4.7528 0.00 0.02 0.00 0.20
20 4.7529 0.00 -0.01 0.00 0.26
21 4.7530 0.00 0.00 0.00 0.07
22 4.8382 0.00 0.02 0.00 0.14
23 4.8385 0.00 0.01 0.00 -0.27
24 15.1349 0.00 -0.13 0.00 -0.09
25 15.1351 0.00 0.12 0.00 -0.13
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.
04VZ75 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.755 39.755 39.755 ecceobj 0.188 0.188 0.188 incobj 4.460 4.460 4.460 qmin 31.124 31.124 31.125 qmax 48.245 48.236 48.270 amean 39.456 39.456 39.456 amin 39.053 39.052 39.055 amax 39.916 39.920 39.914 emean 0.193 0.193 0.193 emin 0.177 0.177 0.177 emax 0.210 0.210 0.210 imean 4.418 4.418 4.417 imin 3.918 3.919 3.918 imax 5.101 5.101 5.100 excite_mean 0.208 0.208 0.208 fracstop 1.000 1.000 1.000 cjmean 3.003 3.003 3.003 libcent 0 180.7 180.4 180.3 libamp 0 62.9 63.0 63.3 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 192.2 192.3 192.2 kozaiamp 180.0 180.0 180.0