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: VNH0002
# Created Sat Apr 20 01:19:25 2024
# Orbit generated from Bernstein formalism
# Fitting 54 observations of 55
# Arc: 2.36y
# First observation: 2011/04/28
# Last observation: 2013/09/06
Preliminary a, adot, b, bdot, g, gdot:
0.000118 0.022989 -0.000003 -0.002353 0.023397 0.000000
# Chi-squared of fit: 20.75 DOF: 102 RMS: 0.11
# Min/Max residuals: -0.30 0.40
# Exact a, adot, b, bdot, g, gdot:
1.568692E-05 2.250125E-02 -1.291125E-06 -2.303545E-03 2.285095E-02 -5.740642E-03
# Covariance matrix:
2.2808E-13 3.0057E-13 -1.4452E-15 -4.3283E-14 3.8058E-13 8.6700E-12
3.0057E-13 9.4894E-13 -9.3145E-16 -1.2333E-13 9.0002E-13 2.4699E-11
-1.4452E-15 -9.3145E-16 7.9575E-14 -3.7269E-14 -3.1772E-15 -8.3385E-15
-4.3283E-14 -1.2333E-13 -3.7269E-14 4.2756E-14 -1.1644E-13 -3.3291E-12
3.8058E-13 9.0002E-13 -3.1772E-15 -1.1644E-13 9.8268E-13 2.3322E-11
8.6700E-12 2.4699E-11 -8.3385E-15 -3.3291E-12 2.3322E-11 6.6667E-10
# lat0 lon0 xBary yBary zBary JD0
2.721319 -82.448390 0.876434 0.023800 -0.501227 2455679.768856
# Heliocentric elements and errors
Epoch: 2455670.5000 = 2011/04/19
Mean Anomaly: 317.90799 +/- 0.056
Argument of Peri: 229.13201 +/- 0.067
Long of Asc Node: 121.12013 +/- 0.001
Inclination: 6.41540 +/- 0.000
Eccentricity: 0.31324891 +/- 0.0012
Semi-Major Axis: 53.33608027 +/- 0.0464
Time of Perihelion: 2472305.6694 +/- 3.8
Perihelion: 36.62861122 +/- 0.0719
Aphelion: 70.04354932 +/- 0.0888
Period (y) 389.5290 +/- 0.51
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 4.94647320 +/- 0.0002
Ecliptic Y -43.94591265 +/- 0.0019
Ecliptic Z 2.07768433 +/- 0.0001
Ecliptic XDOT 0.00258211 +/- 0.0000
Ecliptic YDOT 0.00102832 +/- 0.0000
Ecliptic ZDOT -0.00030831 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.27219904 +/- 0.0019
Geocenter to KBO 43.76185379 +/- 0.0019
# Hcoef: 11.28
The following table shows the complete astrometric record for VNH0002. 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 (VNH0002) followed by the observatory code and reference code for the source of the astrometry.
2011 04 28.26809 18 32 13.602 -20 30 25.28 VNH0002 304 2011 04 28.36806 18 32 13.403 -20 30 25.20 VNH0002 304 2011 04 30.27064 18 32 09.654 -20 30 24.26 VNH0002 304 2011 04 30.39635 18 32 09.389 -20 30 24.31 VNH0002 304 2011 05 06.36890 18 31 55.573 -20 30 23.93 27.6R VNH0002 304 2011 05 31.43696 18 30 29.873 -20 30 59.53 25.3R VNH0002 304 2011 05 31.48809 18 30 29.686 -20 30 59.82 26.9R VNH0002 568 2011 05 31.56672 18 30 29.359 -20 30 59.97 26.5R VNH0002 568 2011 06 01.59657 18 30 25.041 -20 31 02.71 26.3R VNH0002 568 2011 06 04.14568 18 30 14.185 -20 31 09.57 25.0R VNH0002 304 2011 06 04.29531 18 30 13.527 -20 31 10.21 25.9R VNH0002 304 2011 06 04.39267 18 30 13.111 -20 31 10.43 25.0R VNH0002 304 2011 07 01.35671 18 28 07.086 -20 32 55.75 VNH0002 304 2011 07 02.03942 18 28 03.816 -20 32 58.79 VNH0002 304 2011 07 02.14714 18 28 03.288 -20 32 59.46 VNH0002 304 2011 07 02.14772 18 28 03.286 -20 32 59.46 27.8R VNH0002 304 2011 07 02.25740 18 28 02.741 -20 33 00.04 VNH0002 304 2011 07 02.25798 18 28 02.747 -20 32 59.95 28.0R VNH0002 304 2011 07 02.28855 18 28 02.609 -20 33 00.43 27.0R VNH0002 568 2011 07 02.53920 18 28 01.377 -20 33 01.76 26.7R VNH0002 568 2013 06 03.21749 18 41 32.613 -20 37 35.31 27.6R VNH0002 304 2013 06 03.27689 18 41 32.358 -20 37 35.54 27.8R VNH0002 304 2013 06 04.21141 18 41 28.397 -20 37 39.38 27.1R VNH0002 304 2013 06 04.28988 18 41 28.053 -20 37 39.67 27.4R VNH0002 304 2013 06 04.36360 18 41 27.740 -20 37 39.94 27.4R VNH0002 304 2013 06 08.17984 18 41 11.146 -20 37 56.35 27.6R VNH0002 304 2013 06 08.22941 18 41 10.918 -20 37 56.57 28.0R VNH0002 304 2013 06 08.26998 18 41 10.735 -20 37 56.76 27.8R VNH0002 304 2013 06 11.21626 18 40 57.520 -20 38 10.30 27.7R VNH0002 304 2013 06 11.27934 18 40 57.224 -20 38 10.50 27.4R VNH0002 304 2013 06 13.21699 18 40 48.373 -20 38 19.75 28.0R VNH0002 304 2013 06 13.27759 18 40 48.082 -20 38 20.07 27.9R VNH0002 304 2013 06 13.35667 18 40 47.716 -20 38 20.58 28.1R VNH0002 304 2013 06 13.37737 18 40 47.623 -20 38 20.62 27.4R VNH0002 304 2013 07 02.16685 18 39 17.632 -20 40 04.51 27.4R VNH0002 304 2013 07 03.16722 18 39 12.749 -20 40 10.61 24.7R VNH0002 304 2013 07 03.21583 18 39 12.510 -20 40 10.89 24.4R VNH0002 304 2013 07 03.29284 18 39 12.132 -20 40 11.35 24.1R VNH0002 304 2013 07 04.19618 18 39 07.741 -20 40 16.95 27.3R VNH0002 304 2013 07 04.22278 18 39 07.606 -20 40 17.07 27.3R VNH0002 304 2013 07 04.26659 18 39 07.375 -20 40 17.32 28.3R VNH0002 304 2013 07 04.28468 18 39 07.298 -20 40 17.53 27.3R VNH0002 304 2013 07 04.32106 18 39 07.163 -20 40 18.11 27.2R VNH0002 568 2013 07 04.49430 18 39 06.315 -20 40 19.21 30.0R VNH0002 568 2013 07 05.40444 18 39 01.897 -20 40 24.95 27.9R VNH0002 568 2013 07 05.48837 18 39 01.469 -20 40 25.40 28.5R VNH0002 568 2013 07 06.31422 18 38 57.433 -20 40 30.52 27.1R VNH0002 568 2013 07 06.40236 18 38 57.006 -20 40 31.07 27.8R VNH0002 568 2013 07 06.48552 18 38 56.600 -20 40 31.57 27.9R VNH0002 568 2013 08 28.07314 18 35 33.690 -20 46 17.81 28.5R VNH0002 304 2013 08 30.06767 18 35 29.456 -20 46 30.04 28.7R VNH0002 304 2013 09 01.05156 18 35 25.577 -20 46 41.93 28.0R VNH0002 304 2013 09 03.04605 18 35 22.027 -20 46 53.70 29.0R VNH0002 304 2013 09 04.04833 18 35 20.374 -20 46 59.60 29.2R VNH0002 304 2013 09 06.04337 18 35 17.354 -20 47 11.04 29.2R VNH0002 304
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 -0.02 0.00 -0.06
2 0.0003 -2.79 -0.06 0.24 -0.02
3 0.0055 -55.32 -0.05 4.11 0.02
4 0.0058 -59.04 -0.01 4.27 -0.07
5 0.0222 -252.83 0.01 15.43 -0.06
6 0.0908 -1457.01 -0.08 45.21 0.02
7 0.0910 -1459.65 0.10 45.06 0.04
8 0.0912 -1464.25 0.19 45.16 0.09
9 0.0940 -1524.97 0.06 45.64 0.06
10 0.1010 -1677.64 -0.08 46.86 0.14
11 0.1014 -1686.91 -0.10 46.71 -0.05
12 0.1016 -1692.75 0.06 46.80 -0.02
13 0.1755 -3466.38 0.02 32.15 -0.06
14 0.1773 -3512.41 0.06 31.39 0.17
15 0.1776 -3519.86 0.03 31.09 0.05
16 0.1776 -3519.88 0.04 31.09 0.05
17 0.1779 -3527.56 -0.07 30.89 -0.00
18 0.1779 -3527.47 0.06 30.97 0.09
19 0.1780 -3529.43 -0.04 30.59 -0.10
20 0.1787 -3546.79 -0.11 30.12 -0.21
21 2.0998 7811.81 0.06 -923.69 0.04
22 2.1000 7808.22 0.06 -923.67 0.05
23 2.1025 7752.40 0.02 -923.60 -0.01
24 2.1027 7747.56 -0.02 -923.55 0.03
25 2.1029 7743.15 0.08 -923.52 0.05
26 2.1134 7509.30 0.05 -923.62 -0.02
27 2.1135 7506.09 -0.01 -923.62 -0.01
28 2.1136 7503.51 -0.01 -923.63 -0.02
29 2.1217 7317.27 0.03 -924.26 -0.06
30 2.1219 7313.10 -0.03 -924.17 0.05
31 2.1272 7188.36 0.05 -924.81 0.07
32 2.1273 7184.26 -0.05 -924.85 0.06
33 2.1276 7179.09 -0.01 -925.00 -0.09
34 2.1276 7177.79 0.05 -924.95 -0.03
35 2.1791 5909.25 -0.01 -942.91 -0.01
36 2.1818 5840.41 -0.10 -944.43 0.02
37 2.1819 5837.04 -0.08 -944.48 0.03
38 2.1821 5831.71 -0.04 -944.59 0.03
39 2.1846 5769.80 -0.01 -946.08 0.01
40 2.1847 5767.90 -0.06 -946.07 0.06
41 2.1848 5764.65 -0.26 -946.11 0.09
42 2.1849 5763.55 -0.09 -946.24 -0.02
43 2.1849 5761.62 0.27 -946.70 -0.24
44 2.1854 5749.67 0.40 -947.01 -0.27
45 2.1879 5687.37 ( 0.42) -948.62 ( -0.34)
46 2.1881 5681.34 0.24 -948.67 -0.26
47 2.1904 5624.44 -0.30 -950.03 -0.18
48 2.1906 5618.42 -0.19 -950.18 -0.17
49 2.1909 5612.70 -0.12 -950.30 -0.16
50 2.3349 2748.49 0.03 -1114.92 0.19
51 2.3403 2688.46 0.06 -1123.51 0.13
52 2.3457 2633.43 0.01 -1132.07 0.16
53 2.3512 2583.01 0.03 -1140.79 0.17
54 2.3540 2559.51 0.00 -1145.28 0.11
55 2.3594 2516.54 -0.03 -1154.13 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.
VNH0002 quality flag:2 Type: SCATNEAR SCATNEAR 7:3EEEE axisobj 53.082 53.210 52.956 ecceobj 0.313 0.316 0.309 incobj 6.419 6.420 6.419 qmin 35.440 35.847 36.246 qmax 71.709 72.282 70.804 amean 52.948 53.529 52.970 amin 52.169 52.804 52.277 amax 53.951 54.420 53.786 emean 0.307 0.316 0.304 emin 0.280 0.302 0.293 emax 0.332 0.329 0.316 imean 5.333 5.133 4.929 imin 4.265 4.509 4.730 imax 6.603 5.847 5.139 excite_mean 0.321 0.329 0.316 fracstop 1.000 1.000 1.000 cjmean 3.081 3.082 3.086 libcent 0 -180.0 -180.0 180.1 libamp 0 -180.0 -180.0 132.9 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 180.1 188.1 193.2 kozaiamp 179.9 179.9 180.0