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: VNH0011
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 25 observations of 25
# Arc: 65.15d
# First observation: 2011/04/28
# Last observation: 2011/07/02
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.031666 -0.000001 -0.007573 0.028245 0.000000
# Chi-squared of fit: 4.51 DOF: 44 RMS: 0.08
# Min/Max residuals: -0.28 0.18
# Exact a, adot, b, bdot, g, gdot:
1.689107E-05 2.905102E-02 -4.551649E-06 -7.421278E-03 2.741704E-02 -2.002810E-03
# Covariance matrix:
3.9566E-13 -1.2713E-10 3.2462E-14 4.6674E-12 -3.1510E-11 -1.9475E-09
-1.2713E-10 9.5537E-08 -2.2469E-11 -3.7208E-09 2.4472E-08 1.6223E-06
3.2462E-14 -2.2469E-11 1.5872E-13 -3.0540E-13 -5.7281E-12 -3.7448E-10
4.6674E-12 -3.7208E-09 -3.0540E-13 1.6005E-10 -9.5560E-10 -6.3793E-08
-3.1510E-11 2.4472E-08 -5.7281E-12 -9.5560E-10 6.2769E-09 4.1752E-07
-1.9475E-09 1.6223E-06 -3.7448E-10 -6.3793E-08 4.1752E-07 2.8035E-05
# lat0 lon0 xBary yBary zBary JD0
1.993805 -82.396993 0.876670 0.017419 -0.501081 2455679.793976
# Heliocentric elements and errors
Epoch: 2455670.5000 = 2011/04/19
Mean Anomaly: 329.21382 +/- 40.079
Argument of Peri: 213.61280 +/- 60.032
Long of Asc Node: 103.90912 +/- 0.100
Inclination: 14.44463 +/- 0.186
Eccentricity: 0.15441484 +/- 0.1140
Semi-Major Axis: 42.26965568 +/- 0.8251
Time of Perihelion: 2464254.6013 +/- 11172.3
Perihelion: 35.74259338 +/- 4.8680
Aphelion: 48.79671798 +/- 4.9110
Period (y) 274.8219 +/- 8.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 4.02485474 +/- 0.0140
Ecliptic Y -36.74402085 +/- 0.1044
Ecliptic Z 1.26881721 +/- 0.0037
Ecliptic XDOT 0.00285059 +/- 0.0001
Ecliptic YDOT 0.00056234 +/- 0.0005
Ecliptic ZDOT -0.00074756 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.98557044 +/- 0.1037
Geocenter to KBO 36.47367053 +/- 0.1054
# Hcoef: 10.07
The following table shows the complete astrometric record for VNH0011. 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 (VNH0011) followed by the observatory code and reference code for the source of the astrometry.
2011 04 28.29321 18 32 37.261 -21 13 49.82 VNH0011 304 2011 04 28.39847 18 32 37.021 -21 13 50.17 VNH0011 304 2011 04 30.29848 18 32 32.697 -21 13 55.97 VNH0011 304 2011 05 04.35789 18 32 22.207 -21 14 09.92 VNH0011 304 2011 05 04.36394 18 32 22.191 -21 14 09.96 26.1R VNH0011 304 2011 05 04.38105 18 32 22.142 -21 14 09.98 VNH0011 304 2011 05 04.39889 18 32 22.091 -21 14 10.09 26.2R VNH0011 304 2011 05 04.40574 18 32 22.070 -21 14 10.08 VNH0011 304 2011 05 04.42148 18 32 22.024 -21 14 10.19 26.2R VNH0011 304 2011 05 27.28691 18 30 55.356 -21 16 00.48 VNH0011 304 2011 05 27.33105 18 30 55.132 -21 16 00.79 VNH0011 304 2011 05 27.38632 18 30 54.874 -21 16 01.15 VNH0011 304 2011 05 29.40905 18 30 45.323 -21 16 13.77 25.8R VNH0011 568 2011 05 29.54954 18 30 44.641 -21 16 14.42 23.1R VNH0011 568 2011 05 30.47860 18 30 40.157 -21 16 20.10 26.6R VNH0011 568 2011 05 30.54566 18 30 39.833 -21 16 20.49 25.7R VNH0011 568 2011 05 31.53717 18 30 34.964 -21 16 26.81 25.9R VNH0011 568 2011 06 01.43469 18 30 30.543 -21 16 32.33 25.4R VNH0011 568 2011 06 01.51362 18 30 30.138 -21 16 32.90 25.5R VNH0011 568 2011 07 02.01803 18 27 42.135 -21 20 19.81 VNH0011 304 2011 07 02.12588 18 27 41.513 -21 20 20.75 VNH0011 304 2011 07 02.23610 18 27 40.869 -21 20 21.66 23.2R VNH0011 304 2011 07 02.32100 18 27 40.406 -21 20 22.52 25.9R VNH0011 568 2011 07 02.37546 18 27 40.076 -21 20 22.87 24.5R VNH0011 568 2011 07 02.44216 18 27 39.702 -21 20 23.56 25.6R VNH0011 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 0.06
2 0.0003 -3.37 -0.05 -0.16 0.03
3 0.0055 -64.06 -0.04 -2.54 0.09
4 0.0166 -211.28 0.01 -8.23 0.00
5 0.0166 -211.50 0.03 -8.25 -0.01
6 0.0167 -212.19 0.04 -8.23 0.03
7 0.0167 -212.91 0.04 -8.30 -0.02
8 0.0167 -213.20 0.03 -8.28 0.01
9 0.0168 -213.85 0.01 -8.35 -0.04
10 0.0794 -1429.72 0.00 -51.93 0.03
11 0.0795 -1432.86 -0.19 -52.08 -0.01
12 0.0797 -1436.48 -0.13 -52.24 -0.06
13 0.0852 -1570.48 -0.05 -57.68 -0.28
14 0.0856 -1580.03 0.05 -57.82 -0.06
15 0.0881 -1642.93 0.05 -60.14 0.01
16 0.0883 -1647.47 0.18 -60.29 0.03
17 0.0910 -1715.78 -0.06 -62.97 -0.06
18 0.0935 -1777.78 0.09 -65.20 0.10
19 0.0937 -1783.47 0.02 -65.47 0.05
20 0.1772 -4140.27 -0.05 -172.61 0.00
21 0.1775 -4149.00 -0.01 -173.12 -0.01
22 0.1778 -4158.03 -0.04 -173.59 -0.01
23 0.1780 -4164.54 0.08 -174.14 0.01
24 0.1782 -4169.16 -0.10 -174.26 0.13
25 0.1784 -4174.42 0.10 -174.70 -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.
VNH0011 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