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: VNH0022
# Created Thu Apr 25 01:19:26 2024
# Orbit generated from Bernstein formalism
# Fitting 35 observations of 35
# Arc: 1.38y
# First observation: 2012/04/17
# Last observation: 2013/09/04
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.025316 0.000000 0.002233 0.024889 0.000000
# Chi-squared of fit: 8.23 DOF: 64 RMS: 0.09
# Min/Max residuals: -0.28 0.21
# Exact a, adot, b, bdot, g, gdot:
1.576358E-05 2.485445E-02 1.049888E-06 2.193778E-03 2.447800E-02 -3.912603E-03
# Covariance matrix:
8.6126E-14 8.8450E-13 -1.6411E-15 8.8556E-14 9.6164E-13 3.1768E-11
8.8450E-13 2.1440E-10 -3.6914E-13 1.9640E-11 2.1702E-10 7.0619E-09
-1.6411E-15 -3.6914E-13 8.2122E-14 -9.9619E-14 -3.7384E-13 -1.2170E-11
8.8556E-14 1.9640E-11 -9.9619E-14 1.9124E-12 1.9887E-11 6.4878E-10
9.6164E-13 2.1702E-10 -3.7384E-13 1.9887E-11 2.1979E-10 7.1512E-09
3.1768E-11 7.0619E-09 -1.2170E-11 6.4878E-10 7.1512E-09 2.3321E-07
# lat0 lon0 xBary yBary zBary JD0
1.928841 -81.047376 0.954546 0.010824 -0.321325 2456034.841006
# Heliocentric elements and errors
Epoch: 2456030.5000 = 2012/04/13
Mean Anomaly: 311.36282 +/- 0.804
Argument of Peri: 90.26151 +/- 2.064
Long of Asc Node: 257.18681 +/- 0.008
Inclination: 5.46387 +/- 0.002
Eccentricity: 0.20838689 +/- 0.0196
Semi-Major Axis: 46.16125621 +/- 0.4095
Time of Perihelion: 2471507.2847 +/- 151.6
Perihelion: 36.54185542 +/- 0.9604
Aphelion: 55.78065699 +/- 1.0306
Period (y) 313.6351 +/- 4.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.46434518 +/- 0.0038
Ecliptic Y -40.79670930 +/- 0.0244
Ecliptic Z 1.37509259 +/- 0.0008
Ecliptic XDOT 0.00267178 +/- 0.0000
Ecliptic YDOT 0.00087650 +/- 0.0001
Ecliptic ZDOT 0.00023061 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.18399492 +/- 0.0242
Geocenter to KBO 40.85301857 +/- 0.0247
# Hcoef: 13.06
The following table shows the complete astrometric record for VNH0022. 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 (VNH0022) followed by the observatory code and reference code for the source of the astrometry.
2012 04 17.34024 18 38 24.901 -21 12 44.94 29.0R VNH0022 304 2012 04 17.34199 18 38 24.898 -21 12 45.07 VNH0022 304 2012 04 17.38720 18 38 24.856 -21 12 44.87 VNH0022 304 2012 04 17.41592 18 38 24.813 -21 12 44.77 VNH0022 304 2012 04 18.26755 18 38 24.040 -21 12 42.07 VNH0022 304 2012 04 18.31485 18 38 23.977 -21 12 41.92 VNH0022 304 2012 04 18.36265 18 38 23.931 -21 12 41.73 VNH0022 304 2012 04 18.40528 18 38 23.880 -21 12 41.72 VNH0022 304 2012 04 19.30535 18 38 22.944 -21 12 38.87 VNH0022 304 2012 04 19.30697 18 38 22.951 -21 12 39.02 29.7R VNH0022 304 2012 04 19.31726 18 38 22.939 -21 12 39.01 28.6R VNH0022 304 2012 04 19.35214 18 38 22.902 -21 12 38.80 VNH0022 304 2012 04 19.36184 18 38 22.891 -21 12 38.82 29.1R VNH0022 304 2012 04 19.36529 18 38 22.877 -21 12 38.98 29.0R VNH0022 304 2012 04 19.39518 18 38 22.851 -21 12 38.70 29.5R VNH0022 304 2012 04 19.39905 18 38 22.845 -21 12 38.53 26.0R VNH0022 304 2012 04 19.40424 18 38 22.837 -21 12 38.66 29.1R VNH0022 304 2012 04 19.41581 18 38 22.824 -21 12 38.58 29.0R VNH0022 304 2013 06 11.21626 18 41 39.733 -20 58 52.34 28.9R VNH0022 304 2013 06 11.27934 18 41 39.432 -20 58 52.42 29.1R VNH0022 304 2013 06 11.34902 18 41 39.100 -20 58 52.54 29.5R VNH0022 304 2013 06 13.21699 18 41 29.980 -20 58 57.42 29.7R VNH0022 304 2013 06 13.27759 18 41 29.680 -20 58 57.58 29.7R VNH0022 304 2013 06 13.35667 18 41 29.288 -20 58 57.91 29.4R VNH0022 304 2013 06 13.37737 18 41 29.192 -20 58 57.79 28.3R VNH0022 304 2013 07 05.44642 18 39 36.036 -21 00 13.12 28.3R VNH0022 568 2013 07 05.52857 18 39 35.597 -21 00 13.17 28.4R VNH0022 568 2013 07 06.35581 18 39 31.326 -21 00 16.80 28.1R VNH0022 568 2013 07 06.44410 18 39 30.862 -21 00 16.90 VNH0022 568 2013 07 06.52777 18 39 30.423 -21 00 17.35 29.2R VNH0022 568 2013 08 28.07314 18 35 53.916 -21 03 52.66 VNH0022 304 2013 08 30.06767 18 35 49.403 -21 03 59.76 VNH0022 304 2013 09 01.05405 18 35 45.263 -21 04 06.22 VNH0022 304 2013 09 03.04605 18 35 41.489 -21 04 12.63 VNH0022 304 2013 09 04.04975 18 35 39.728 -21 04 15.85 VNH0022 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 0.06 0.00 0.08
2 0.0000 -0.05 0.03 -0.13 -0.06
3 0.0001 -0.62 0.07 0.11 0.00
4 0.0002 -1.22 -0.14 0.25 0.02
5 0.0025 -11.82 0.11 3.66 0.01
6 0.0027 -12.69 -0.07 3.87 0.04
7 0.0028 -13.32 0.01 4.10 0.08
8 0.0029 -14.03 -0.07 4.16 -0.03
9 0.0054 -26.90 -0.12 7.87 0.09
10 0.0054 -26.82 -0.01 7.72 -0.08
11 0.0054 -26.98 -0.01 7.74 -0.10
12 0.0055 -27.48 0.05 7.98 0.01
13 0.0055 -27.64 0.06 7.97 -0.04
14 0.0055 -27.85 -0.09 7.83 -0.20
15 0.0056 -28.19 0.05 8.13 -0.01
16 0.0056 -28.26 0.04 8.30 0.15
17 0.0057 -28.38 0.00 8.18 0.00
18 0.0057 -28.56 0.02 8.27 0.05
19 1.1496 2777.69 -0.17 642.66 -0.05
20 1.1497 2773.47 -0.02 642.88 0.02
21 1.1499 2768.83 0.14 643.10 0.06
22 1.1550 2641.05 -0.05 647.34 0.09
23 1.1552 2636.85 -0.00 647.48 0.09
24 1.1554 2631.35 0.03 647.54 -0.04
25 1.1555 2630.02 0.14 647.76 0.12
26 1.2159 1043.80 -0.03 683.10 -0.20
27 1.2161 1037.67 -0.09 683.47 0.07
28 1.2184 977.75 -0.02 683.92 -0.28
29 1.2186 971.26 0.02 684.27 -0.02
30 1.2189 965.10 0.04 684.24 -0.16
31 1.3627 -2073.78 -0.02 667.28 0.21
32 1.3682 -2137.27 0.01 664.14 -0.06
33 1.3736 -2195.52 -0.03 661.30 0.09
34 1.3791 -2248.65 0.03 658.19 0.07
35 1.3818 -2273.45 0.03 656.51 -0.02
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.
VNH0022 quality flag:1 Type: SCATNEAR 2:1E CLASSICAL axisobj 46.099 47.356 45.216 ecceobj 0.209 0.264 0.158 incobj 5.468 5.473 5.462 qmin 35.546 34.389 37.369 qmax 57.690 62.254 53.847 amean 46.321 47.796 45.429 amin 45.877 47.124 45.054 amax 46.861 48.563 45.869 emean 0.211 0.265 0.158 emin 0.194 0.250 0.142 emax 0.232 0.282 0.175 imean 7.709 6.886 7.412 imin 6.831 6.563 6.668 imax 8.570 7.226 8.261 excite_mean 0.250 0.291 0.204 fracstop 1.000 1.000 1.000 cjmean 3.053 3.041 3.067 libcent 0 -180.0 179.6 -180.0 libamp 0 -180.0 152.1 -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 179.2 183.5 182.9 kozaiamp 180.0 179.9 180.0