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: 04VK78 # Created Wed Dec 25 02:08:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 18.05y # First observation: 2004/11/09 # Last observation: 2022/11/28 # Chi-squared of fit: 40.56 DOF: 52 RMS: 0.21 # Min/Max residuals: -0.53 0.60 # Exact a, adot, b, bdot, g, gdot: 2.055065E-05 3.993423E-02 -8.419693E-08 9.153447E-04 3.168883E-02 3.527240E-03 # Covariance matrix: 1.0688E-13 -2.3920E-14 3.6242E-16 -4.1510E-16 1.8999E-14 -2.6898E-14 -2.3920E-14 2.0010E-14 -3.9819E-16 4.5076E-16 -1.6670E-14 2.9178E-14 3.6242E-16 -3.9819E-16 9.0983E-14 -6.6250E-15 1.3015E-16 -6.0663E-16 -4.1510E-16 4.5076E-16 -6.6250E-15 1.1459E-15 -5.5573E-16 7.0311E-16 1.8999E-14 -1.6670E-14 1.3015E-16 -5.5573E-16 3.2903E-13 -3.8374E-14 -2.6898E-14 2.9178E-14 -6.0663E-16 7.0311E-16 -3.8374E-14 4.5609E-14 # lat0 lon0 xBary yBary zBary JD0 -0.674435 40.873868 -0.106739 -0.011515 -0.987013 2453318.884993 # Heliocentric elements and errors Epoch: 2453318.5000 = 2004/11/09 Mean Anomaly: 10.20997 +/- 0.002 Argument of Peri: 312.48214 +/- 0.003 Long of Asc Node: 67.48960 +/- 0.001 Inclination: 1.46963 +/- 0.000 Eccentricity: 0.32738010 +/- 0.0001 Semi-Major Axis: 47.58068901 +/- 0.0060 Time of Perihelion: 2449918.5985 +/- 1.0 Perihelion: 32.00371842 +/- 0.0053 Aphelion: 63.15765961 +/- 0.0086 Period (y) 328.2119 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.53199039 +/- 0.0004 Ecliptic Y 21.37707530 +/- 0.0004 Ecliptic Z -0.37145852 +/- 0.0000 Ecliptic XDOT -0.00202787 +/- 0.0000 Ecliptic YDOT 0.00280174 +/- 0.0000 Ecliptic ZDOT 0.00007558 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.54123860 +/- 0.0004 Geocenter to KBO 31.55685156 +/- 0.0006 # Hcoef: 7.90
The following table shows the complete astrometric record for 04VK78. 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 (04VK78) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.38425 02 34 40.10 +14 26 49.6 23.6g 04VK78 568 C~0X5c 2004 11 09.41074 02 34 39.94 +14 26 49.0 22.6g 04VK78 568 C~0X5c 2004 11 09.43671 02 34 39.79 +14 26 48.1 22.5g 04VK78 568 C~0X5c 2004 11 10.30006 02 34 34.68 +14 26 25.1 23.4g 04VK78 568 C~0X5c 2004 11 11.26448 02 34 29.03 +14 25 58.1 22.4R 04VK78 695 Cm1784 2004 11 11.36676 02 34 28.41 +14 25 55.3 04VK78 695 Cm1784 2004 11 18.34828 02 33 48.00 +14 22 48.9 22.5R 04VK78 568 Cm1784 2004 11 18.39121 02 33 47.76 +14 22 47.7 04VK78 568 Cm1784 2005 01 05.21941 02 30 36.03 +14 08 36.3 22.8i 04VK78 568 C~0X5c 2005 01 05.27535 02 30 35.93 +14 08 35.9 22.7i 04VK78 568 C~0X5c 2005 01 05.34540 02 30 35.81 +14 08 35.5 22.8i 04VK78 568 C~0X5c 2005 10 25.51435 02 45 04.09 +15 18 17.1 23.2r 04VK78 568 C~0X5c 2005 10 25.58096 02 45 03.69 +15 18 15.3 22.9r 04VK78 568 C~0X5c 2005 10 25.59068 02 45 03.63 +15 18 15.0 23.1r 04VK78 568 C~0X5c 2005 10 26.55437 02 44 57.99 +15 17 49.7 23.4r 04VK78 568 C~0X5c 2006 10 21.99383 02 54 19.08 +16 02 39.3 04VK78 950 C~0X5c 2006 10 22.10435 02 54 18.46 +16 02 36.8 04VK78 950 C~0X5c 2006 10 22.17817 02 54 18.03 +16 02 35.0 04VK78 950 C~0X5c 2013 10 06.49830 03 56 53.96 +20 13 53.5 23.3R 04VK78 695 C~0zdg 2013 10 07.32885 03 56 50.93 +20 13 44.2 04VK78 695 C~0zdg 2013 10 07.40738 03 56 50.65 +20 13 43.7 04VK78 695 C~0zdg 2017 12 20.30754 04 24 05.961 +21 38 01.23 22.5R 04VK78 G37 C~2Uv4 2017 12 20.38053 04 24 05.517 +21 38 00.59 04VK78 G37 C~2Uv4 2017 12 20.43390 04 24 05.254 +21 37 59.76 04VK78 G37 C~2Uv4 2020 12 09.297900 04 49 55.183 +22 37 58.18 23.8G 04VK78 G37 C~4Ty3 2020 12 09.339390 04 49 54.897 +22 37 58.17 04VK78 G37 C~4Ty3 2020 12 09.375700 04 49 54.657 +22 37 57.98 04VK78 G37 C~4Ty3 2022 11 28.378020 05 07 10.454 +23 08 51.15 23.7G 04VK78 G37 C~66wq 2022 11 28.429030 05 07 10.132 +23 08 50.89 04VK78 G37 C~66wq
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 -0.16 0.00 0.07
2 0.0001 0.00 -0.17 0.00 0.19
3 0.0001 0.00 -0.07 0.00 0.00
4 0.0025 0.00 -0.44 0.00 0.60
5 0.0051 0.00 0.18 0.00 -0.10
6 0.0054 0.00 0.05 0.00 -0.11
7 0.0245 0.00 0.06 0.00 -0.23
8 0.0247 0.00 0.19 0.00 -0.31
9 0.1556 0.00 -0.09 0.00 0.26
10 0.1558 0.00 -0.08 0.00 0.21
11 0.1560 0.00 -0.01 0.00 0.27
12 0.9586 0.00 0.23 0.00 -0.08
13 0.9588 0.00 0.16 0.00 -0.12
14 0.9588 0.00 0.12 0.00 -0.16
15 0.9615 0.00 0.09 0.00 -0.21
16 1.9483 0.00 -0.15 0.00 -0.12
17 1.9486 0.00 0.12 0.00 0.06
18 1.9488 0.00 0.06 0.00 0.07
19 8.9065 0.00 -0.10 0.00 0.07
20 8.9088 0.00 -0.08 0.00 -0.53
21 8.9090 0.00 0.20 0.00 -0.22
22 13.1114 0.00 0.03 0.00 -0.09
23 13.1116 0.00 -0.37 0.00 0.20
24 13.1117 0.00 0.25 0.00 0.05
25 16.0819 0.00 0.47 0.00 -0.31
26 16.0820 0.00 0.03 0.00 0.08
27 16.0821 0.00 -0.20 0.00 0.25
28 18.0506 0.00 0.03 0.00 0.08
29 18.0508 0.00 -0.21 0.00 0.18
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.
04VK78 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.397 48.397 48.397 ecceobj 0.339 0.339 0.339 incobj 1.466 1.466 1.466 qmin 31.377 31.377 31.377 qmax 65.122 65.122 65.121 amean 47.797 47.797 47.797 amin 47.268 47.268 47.268 amax 48.474 48.472 48.475 emean 0.330 0.330 0.330 emin 0.319 0.319 0.319 emax 0.344 0.344 0.344 imean 1.115 1.115 1.115 imin 0.745 0.746 0.745 imax 1.335 1.335 1.335 excite_mean 0.331 0.331 0.331 fracstop 1.000 1.000 1.000 cjmean 3.008 3.008 3.008 libcent 0 70.6 70.6 70.6 libamp 0 18.3 18.3 18.3 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 181.5 181.5 181.5 kozaiamp 180.0 180.0 180.0