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: VNH0013
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 39 observations of 39
# Arc: 63.22d
# First observation: 2011/04/30
# Last observation: 2011/07/02
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.035971 -0.000001 -0.007557 0.029345 0.000000
# Chi-squared of fit: 9.90 DOF: 72 RMS: 0.09
# Min/Max residuals: -0.38 0.18
# Exact a, adot, b, bdot, g, gdot:
1.836347E-05 3.272757E-02 -4.185560E-06 -7.379521E-03 2.838435E-02 -7.681121E-03
# Covariance matrix:
1.2494E-13 -5.8091E-11 1.5140E-14 2.2708E-12 -1.4146E-11 -8.5964E-10
-5.8091E-11 1.4452E-07 -3.6514E-11 -5.9441E-09 3.6363E-08 2.3767E-06
1.5140E-14 -3.6514E-11 8.8564E-14 8.2041E-13 -9.1796E-12 -5.9818E-10
2.2708E-12 -5.9441E-09 8.2041E-13 2.5579E-10 -1.4969E-09 -9.8096E-08
-1.4146E-11 3.6363E-08 -9.1796E-12 -1.4969E-09 9.1538E-09 5.9915E-07
-8.5964E-10 2.3767E-06 -5.9818E-10 -9.8096E-08 5.9915E-07 3.9401E-05
# lat0 lon0 xBary yBary zBary JD0
2.360128 -82.388718 0.859409 0.021852 -0.530834 2455681.821916
# Heliocentric elements and errors
Epoch: 2455680.5000 = 2011/04/29
Mean Anomaly: 338.29965 +/- 7.743
Argument of Peri: 221.43329 +/- 23.362
Long of Asc Node: 106.41612 +/- 0.142
Inclination: 12.93893 +/- 0.179
Eccentricity: 0.40625951 +/- 0.1672
Semi-Major Axis: 53.59096246 +/- 7.7736
Time of Perihelion: 2464318.2356 +/- 2442.8
Perihelion: 31.81912452 +/- 10.0798
Aphelion: 75.36280040 +/- 14.1351
Period (y) 392.3246 +/- 85.36
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 3.88558745 +/- 0.0157
Ecliptic Y -35.53099743 +/- 0.1176
Ecliptic Z 1.45067730 +/- 0.0049
Ecliptic XDOT 0.00303289 +/- 0.0001
Ecliptic YDOT 0.00112875 +/- 0.0006
Ecliptic ZDOT -0.00074168 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.77225227 +/- 0.1168
Geocenter to KBO 35.23067800 +/- 0.1188
# Hcoef: 11.49
The following table shows the complete astrometric record for VNH0013. 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 (VNH0013) followed by the observatory code and reference code for the source of the astrometry.
2011 04 30.32115 18 32 34.069 -20 51 51.48 26.8R VNH0013 304 2011 04 30.41312 18 32 33.859 -20 51 51.82 27.6R VNH0013 304 2011 05 01.31844 18 32 31.672 -20 51 54.05 27.6R VNH0013 304 2011 05 01.32148 18 32 31.663 -20 51 54.00 24.0R VNH0013 304 2011 05 02.28343 18 32 29.260 -20 51 56.59 VNH0013 304 2011 05 02.28857 18 32 29.247 -20 51 56.62 27.1R VNH0013 304 2011 05 02.30852 18 32 29.192 -20 51 56.66 VNH0013 304 2011 05 02.32222 18 32 29.159 -20 51 56.72 26.7R VNH0013 304 2011 05 02.33339 18 32 29.123 -20 51 56.70 VNH0013 304 2011 05 02.35124 18 32 29.082 -20 51 56.80 26.4R VNH0013 304 2011 05 03.28524 18 32 26.647 -20 51 59.39 VNH0013 304 2011 05 03.29159 18 32 26.632 -20 51 59.42 26.4R VNH0013 304 2011 05 03.30874 18 32 26.581 -20 51 59.47 VNH0013 304 2011 05 03.32834 18 32 26.530 -20 51 59.52 26.5R VNH0013 304 2011 05 03.34419 18 32 26.486 -20 51 59.62 VNH0013 304 2011 05 03.36011 18 32 26.441 -20 51 59.69 27.4R VNH0013 304 2011 05 03.36569 18 32 26.420 -20 51 59.64 VNH0013 304 2011 05 27.26022 18 30 56.645 -20 53 40.85 27.3R VNH0013 304 2011 05 27.30856 18 30 56.413 -20 53 41.21 27.0R VNH0013 304 2011 05 27.35998 18 30 56.173 -20 53 41.47 28.4R VNH0013 304 2011 05 27.41882 18 30 55.876 -20 53 41.77 29.1R VNH0013 304 2011 05 28.28616 18 30 51.769 -20 53 46.64 26.1R VNH0013 304 2011 05 28.31438 18 30 51.647 -20 53 46.84 27.1R VNH0013 304 2011 05 28.37858 18 30 51.315 -20 53 47.32 VNH0013 304 2011 05 30.42203 18 30 41.422 -20 53 59.18 25.9R VNH0013 568 2011 05 30.48978 18 30 41.093 -20 53 59.40 25.9R VNH0013 568 2011 05 30.55705 18 30 40.764 -20 53 59.87 24.7R VNH0013 568 2011 05 31.20534 18 30 37.565 -20 54 03.56 27.3R VNH0013 304 2011 05 31.27397 18 30 37.222 -20 54 03.92 VNH0013 304 2011 05 31.34517 18 30 36.859 -20 54 04.25 27.4R VNH0013 304 2011 05 31.52731 18 30 35.967 -20 54 06.04 26.4R VNH0013 568 2011 06 01.53320 18 30 30.931 -20 54 11.59 26.2R VNH0013 568 2011 06 04.10626 18 30 17.789 -20 54 27.34 27.1R VNH0013 304 2011 07 01.14172 18 27 45.743 -20 57 47.42 VNH0013 304 2011 07 01.22707 18 27 45.235 -20 57 48.17 VNH0013 304 2011 07 01.31212 18 27 44.741 -20 57 48.88 VNH0013 304 2011 07 02.35040 18 27 38.733 -20 57 57.87 27.1R VNH0013 568 2011 07 02.41279 18 27 38.355 -20 57 58.49 25.8R VNH0013 568 2011 07 02.53920 18 27 37.611 -20 57 59.42 26.0R VNH0013 568
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 0.02
2 0.0003 -2.96 0.18 -0.17 -0.11
3 0.0027 -33.69 -0.04 -0.67 -0.00
4 0.0027 -33.81 -0.06 -0.62 0.06
5 0.0054 -67.59 -0.00 -1.31 0.03
6 0.0054 -67.77 0.01 -1.33 0.02
7 0.0054 -68.54 -0.02 -1.32 0.04
8 0.0055 -69.01 0.02 -1.36 0.01
9 0.0055 -69.51 -0.06 -1.31 0.07
10 0.0056 -70.09 0.02 -1.37 0.02
11 0.0081 -104.31 -0.01 -2.04 0.03
12 0.0081 -104.52 0.03 -2.06 0.02
13 0.0082 -105.24 -0.03 -2.07 0.03
14 0.0082 -105.95 0.02 -2.08 0.03
15 0.0083 -106.58 0.01 -2.14 -0.02
16 0.0083 -107.21 -0.01 -2.18 -0.04
17 0.0083 -107.50 -0.08 -2.11 0.03
18 0.0738 -1369.37 0.05 -33.94 0.02
19 0.0739 -1372.63 0.05 -34.12 -0.07
20 0.0740 -1376.01 0.16 -34.20 -0.06
21 0.0742 -1380.18 -0.05 -34.28 -0.04
22 0.0766 -1437.91 -0.06 -36.04 -0.02
23 0.0766 -1439.63 0.16 -36.15 -0.07
24 0.0768 -1444.30 -0.12 -36.38 -0.19
25 0.0824 -1583.38 -0.20 -40.80 -0.07
26 0.0826 -1588.00 -0.04 -40.77 0.11
27 0.0828 -1592.63 0.08 -40.99 0.03
28 0.0846 -1637.59 -0.04 -42.28 -0.02
29 0.0847 -1642.41 0.02 -42.38 0.03
30 0.0849 -1647.51 -0.02 -42.44 0.12
31 0.0854 -1660.08 0.08 -43.56 -0.38
32 0.0882 -1730.85 0.12 -45.35 0.12
33 0.0952 -1915.60 -0.12 -51.31 0.10
34 0.1693 -4053.61 -0.10 -142.76 0.14
35 0.1695 -4060.76 -0.14 -143.16 0.11
36 0.1697 -4067.71 -0.03 -143.53 0.08
37 0.1726 -4152.23 0.15 -148.41 -0.04
38 0.1727 -4157.55 0.03 -148.77 -0.12
39 0.1731 -4168.01 0.08 -149.19 -0.01
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.
VNH0013 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0