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: VNH0021
# Created Sun Dec 22 02:11:38 2024
# Orbit generated from Bernstein formalism
# Fitting 42 observations of 42
# Arc: 1.38y
# First observation: 2012/04/18
# Last observation: 2013/09/06
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.026399 0.000001 0.001009 0.025384 0.000000
# Chi-squared of fit: 7.97 DOF: 78 RMS: 0.08
# Min/Max residuals: -0.17 0.19
# Exact a, adot, b, bdot, g, gdot:
1.624981E-05 2.605782E-02 6.036227E-07 9.953267E-04 2.510244E-02 4.070793E-04
# Covariance matrix:
8.8434E-14 4.6322E-13 -5.6772E-16 2.1831E-14 5.2449E-13 1.7348E-11
4.6322E-13 1.5569E-10 -1.6763E-13 6.1377E-12 1.5351E-10 4.9301E-09
-5.6772E-16 -1.6763E-13 8.6177E-14 -7.6431E-14 -1.6540E-13 -5.3067E-12
2.1831E-14 6.1377E-12 -7.6431E-14 3.3768E-13 6.0536E-12 1.9508E-10
5.2449E-13 1.5351E-10 -1.6540E-13 6.0536E-12 1.5145E-10 4.8630E-09
1.7348E-11 4.9301E-09 -5.3067E-12 1.9508E-10 4.8630E-09 1.5656E-07
# lat0 lon0 xBary yBary zBary JD0
2.054827 -81.154637 0.948984 0.012138 -0.338167 2456035.768316
# Heliocentric elements and errors
Epoch: 2456030.5000 = 2012/04/13
Mean Anomaly: 354.89738 +/- 8.122
Argument of Peri: 48.44000 +/- 9.888
Long of Asc Node: 235.28571 +/- 0.011
Inclination: 3.03044 +/- 0.001
Eccentricity: 0.09582682 +/- 0.0016
Semi-Major Axis: 44.42094459 +/- 0.0260
Time of Perihelion: 2457563.2475 +/- 2439.6
Perihelion: 40.16422681 +/- 0.0735
Aphelion: 48.67766237 +/- 0.0753
Period (y) 296.0669 +/- 0.26
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.23939916 +/- 0.0030
Ecliptic Y -39.81606779 +/- 0.0193
Ecliptic Z 1.42840903 +/- 0.0007
Ecliptic XDOT 0.00280951 +/- 0.0000
Ecliptic YDOT 0.00040069 +/- 0.0000
Ecliptic ZDOT 0.00011018 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.18470990 +/- 0.0191
Geocenter to KBO 39.83675861 +/- 0.0195
# Hcoef: 12.80
The following table shows the complete astrometric record for VNH0021. 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 (VNH0021) followed by the observatory code and reference code for the source of the astrometry.
2012 04 18.26755 18 37 55.236 -21 05 37.84 VNH0021 304 2012 04 18.31485 18 37 55.182 -21 05 37.76 VNH0021 304 2012 04 18.36265 18 37 55.132 -21 05 37.63 VNH0021 304 2012 04 18.40587 18 37 55.089 -21 05 37.61 28.6R VNH0021 304 2012 04 19.30535 18 37 54.143 -21 05 35.19 VNH0021 304 2012 04 19.30697 18 37 54.146 -21 05 35.19 29.1R VNH0021 304 2012 04 19.31726 18 37 54.132 -21 05 35.11 27.9R VNH0021 304 2012 04 19.33912 18 37 54.110 -21 05 35.11 28.5R VNH0021 304 2012 04 19.35214 18 37 54.089 -21 05 35.07 VNH0021 304 2012 04 19.36184 18 37 54.075 -21 05 35.07 27.8R VNH0021 304 2012 04 19.36529 18 37 54.067 -21 05 35.07 27.4R VNH0021 304 2012 04 19.39518 18 37 54.040 -21 05 34.89 28.5R VNH0021 304 2012 04 19.39905 18 37 54.032 -21 05 34.79 VNH0021 304 2012 04 19.40424 18 37 54.026 -21 05 34.81 28.7R VNH0021 304 2012 04 19.41581 18 37 54.010 -21 05 34.75 29.3R VNH0021 304 2012 04 20.25767 18 37 53.048 -21 05 32.70 VNH0021 304 2012 04 20.26766 18 37 53.029 -21 05 32.77 VNH0021 304 2013 06 08.17984 18 41 40.385 -20 56 08.34 28.6R VNH0021 304 2013 06 08.22941 18 41 40.141 -20 56 08.51 28.5R VNH0021 304 2013 06 08.26998 18 41 39.949 -20 56 08.59 29.2R VNH0021 304 2013 06 11.21626 18 41 25.626 -20 56 17.74 28.7R VNH0021 304 2013 06 11.27934 18 41 25.303 -20 56 18.14 28.9R VNH0021 304 2013 06 11.34902 18 41 24.971 -20 56 18.22 28.1R VNH0021 304 2013 06 13.21699 18 41 15.710 -20 56 24.49 28.6R VNH0021 304 2013 06 13.27759 18 41 15.407 -20 56 24.64 VNH0021 304 2013 07 02.19824 18 39 37.188 -20 57 40.85 28.1R VNH0021 304 2013 07 02.24782 18 39 36.920 -20 57 41.16 28.8R VNH0021 304 2013 07 02.29671 18 39 36.650 -20 57 41.32 28.0R VNH0021 304 2013 07 03.19269 18 39 31.928 -20 57 45.42 26.7R VNH0021 304 2013 07 03.26931 18 39 31.522 -20 57 45.88 27.9R VNH0021 304 2013 07 03.31284 18 39 31.295 -20 57 46.15 27.4R VNH0021 304 2013 07 05.36127 18 39 20.504 -20 57 56.04 28.2R VNH0021 568 2013 07 05.44642 18 39 20.039 -20 57 56.29 VNH0021 568 2013 07 05.52710 18 39 19.621 -20 57 56.74 VNH0021 568 2013 07 06.44424 18 39 14.790 -20 58 01.17 28.8R VNH0021 568 2013 07 06.52829 18 39 14.331 -20 58 01.55 28.8R VNH0021 568 2013 08 28.07314 18 35 35.256 -21 02 18.14 29.7R VNH0021 304 2013 08 30.06948 18 35 30.716 -21 02 26.56 29.9R VNH0021 304 2013 09 01.05405 18 35 26.571 -21 02 34.63 VNH0021 304 2013 09 03.04605 18 35 22.789 -21 02 42.62 VNH0021 304 2013 09 04.05023 18 35 21.027 -21 02 46.47 VNH0021 304 2013 09 06.04469 18 35 17.829 -21 02 54.05 29.6R VNH0021 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 0.03 0.00 0.00
2 0.0001 -0.75 -0.02 0.13 -0.02
3 0.0003 -1.44 0.01 0.30 -0.02
4 0.0004 -2.04 0.06 0.36 -0.11
5 0.0028 -15.09 -0.01 3.65 -0.04
6 0.0028 -15.05 0.06 3.64 -0.05
7 0.0029 -15.24 0.03 3.74 0.01
8 0.0029 -15.55 0.09 3.76 -0.05
9 0.0030 -15.84 0.01 3.82 -0.03
10 0.0030 -16.03 -0.03 3.83 -0.05
11 0.0030 -16.14 -0.08 3.84 -0.06
12 0.0031 -16.51 0.05 4.04 0.04
13 0.0031 -16.61 0.01 4.15 0.13
14 0.0031 -16.70 0.01 4.13 0.10
15 0.0031 -16.92 -0.02 4.21 0.13
16 0.0054 -30.22 -0.04 7.14 0.06
17 0.0055 -30.49 -0.14 7.08 -0.03
18 1.1387 3184.46 0.00 352.26 -0.02
19 1.1388 3181.04 -0.02 352.34 -0.03
20 1.1390 3178.35 0.07 352.45 0.00
21 1.1470 2977.50 0.00 357.61 0.06
22 1.1472 2972.96 -0.11 357.53 -0.13
23 1.1474 2968.31 0.13 357.78 -0.01
24 1.1525 2838.43 -0.06 360.73 -0.04
25 1.1527 2834.18 0.01 360.88 0.01
26 1.2045 1456.17 -0.00 380.45 0.19
27 1.2046 1452.41 -0.03 380.40 0.10
28 1.2047 1448.62 -0.14 380.50 0.16
29 1.2072 1382.35 -0.08 380.91 0.19
30 1.2074 1376.65 -0.02 380.84 0.07
31 1.2075 1373.46 0.06 380.79 -0.01
32 1.2131 1221.98 0.09 381.18 -0.16
33 1.2134 1215.46 -0.02 381.38 -0.00
34 1.2136 1209.59 0.18 381.32 -0.10
35 1.2161 1141.78 0.04 381.49 -0.17
36 1.2163 1135.34 -0.10 381.54 -0.16
37 1.3602 -1942.72 0.08 324.18 -0.04
38 1.3656 -2006.68 0.04 319.71 -0.05
39 1.3711 -2065.10 -0.01 315.23 0.03
40 1.3765 -2118.45 -0.04 310.52 -0.01
41 1.3793 -2143.31 -0.06 308.20 0.05
42 1.3847 -2188.46 -0.01 303.38 0.06
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.
VNH0021 quality flag:2 Type: 9:5EEEE CLASSICAL 9:5EEEE axisobj 44.337 44.438 44.328 ecceobj 0.095 0.108 0.095 incobj 3.034 3.035 3.034 qmin 39.716 38.973 39.683 qmax 49.754 50.579 49.798 amean 44.554 44.663 44.554 amin 44.183 44.297 44.184 amax 44.971 45.067 44.969 emean 0.093 0.107 0.095 emin 0.080 0.091 0.084 emax 0.107 0.124 0.107 imean 4.620 4.774 4.620 imin 3.988 4.145 3.979 imax 5.209 5.431 5.215 excite_mean 0.123 0.136 0.125 fracstop 1.000 1.000 1.000 cjmean 3.090 3.087 3.089 libcent 0 176.5 -180.0 186.2 libamp 0 171.8 -180.0 147.0 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 175.2 178.0 180.1 kozaiamp 180.0 180.0 180.0