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: 10VE21
# Created Thu May 24 01:37:54 2012
# Orbit generated from Bernstein formalism
# Fitting 11 observations of 11
# Arc: 2.92d
# First observation: 2010/11/03
# Last observation: 2010/11/06
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.203605 -0.000001 -0.189794 0.129133 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 6.76 DOF: 17 RMS: 0.14
# Min/Max residuals: -0.24 0.26
# Exact a, adot, b, bdot, g, gdot:
2.478616E-05 2.037705E-01 -2.368273E-05 -1.898881E-01 1.292045E-01 1.733852E-02
# Covariance matrix:
3.8827E-10 3.1365E-06 -5.6025E-12 2.2916E-08 4.9513E-07 -7.6147E-07
3.1365E-06 2.5362E-02 -4.5555E-08 1.8569E-04 4.0034E-03 -6.4070E-03
-5.6025E-12 -4.5555E-08 3.4553E-13 -3.8685E-10 -7.1844E-09 1.9716E-08
2.2916E-08 1.8569E-04 -3.8685E-10 1.3927E-06 2.9301E-05 -5.9523E-05
4.9513E-07 4.0034E-03 -7.1844E-09 2.9301E-05 6.3193E-04 -1.0049E-03
-7.6147E-07 -6.4070E-03 1.9716E-08 -5.9523E-05 -1.0049E-03 9.7018E-03
# lat0 lon0 xBary yBary zBary JD0
7.971183 40.252554 -0.012235 0.137223 -0.979977 2455503.946306
# Heliocentric elements and errors
Epoch: 2455500.5000 = 2010/10/31
Mean Anomaly: 62.06031 +/- 202.734
Argument of Peri: 98.92088 +/- 235.309
Long of Asc Node: 227.84817 +/- 5.689
Inclination: 43.38242 +/- 22.063
Eccentricity: 0.08093369 +/- 0.3146
Semi-Major Axis: 9.01489609 +/- 0.9096
Time of Perihelion: 2453796.1808 +/- 5561.6
Perihelion: 8.28528728 +/- 2.9569
Aphelion: 9.74450489 +/- 3.0019
Period (y) 27.0676 +/- 4.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.60128037 +/- 1.1382
Ecliptic Y 5.60054836 +/- 0.9635
Ecliptic Z 1.07310220 +/- 0.2088
Ecliptic XDOT -0.00208667 +/- 0.0028
Ecliptic YDOT 0.00389744 +/- 0.0018
Ecliptic ZDOT -0.00393391 +/- 0.0007
# Distances at JD0 (AU)
Heliocenter to KBO 8.72322147 +/- 1.0608
Geocenter to KBO 7.73966558 +/- 1.5058
# Hcoef: 12.21
The following table shows the complete astrometric record for 10VE21. 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 (10VE21) followed by the observatory code and reference code for the source of the astrometry.
2010 11 03.44554 02 20 33.04 +22 26 37.3 21.7w 10VE21 F51 C~0Ot2 2010 11 03.45830 02 20 32.76 +22 26 34.3 21.9w 10VE21 F51 C~0Ot2 2010 11 03.47113 02 20 32.48 +22 26 31.7 21.7w 10VE21 F51 C~0Ot2 2010 11 03.48377 02 20 32.23 +22 26 28.9 21.7w 10VE21 F51 C~0Ot2 2010 11 04.37708 02 20 13.42 +22 23 14.4 20.8R 10VE21 H01 C~0Ot2 2010 11 04.38319 02 20 13.31 +22 23 13.2 20.6R 10VE21 H01 C~0Ot2 2010 11 04.39202 02 20 13.09 +22 23 11.5 20.7R 10VE21 H01 C~0Ot2 2010 11 04.40488 02 20 12.82 +22 23 08.4 21.1R 10VE21 H01 C~0Ot2 2010 11 06.34451 02 19 32.25 +22 16 04.4 21.7V 10VE21 291 C~0X1R 2010 11 06.35263 02 19 32.05 +22 16 02.6 21.5V 10VE21 291 C~0X1R 2010 11 06.36123 02 19 31.90 +22 16 00.5 10VE21 291 C~0X1R
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 0.09 2 0.0000 -4.65 -0.11 -1.56 -0.10 3 0.0001 -9.17 -0.10 -2.74 0.10 4 0.0001 -13.37 0.17 -4.25 -0.05 5 0.0026 -323.64 -0.05 -102.19 -0.16 6 0.0026 -325.48 0.26 -102.82 -0.12 7 0.0026 -328.92 -0.07 -103.42 0.25 8 0.0026 -333.47 -0.11 -105.12 -0.04 9 0.0079 -1004.69 0.12 -319.94 0.04 10 0.0080 -1007.90 -0.24 -320.73 0.16 11 0.0080 -1010.56 0.12 -322.02 -0.18
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.
10VE21 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 8.960 8.960 8.960 ecceobj 0.078 0.078 0.078 incobj 43.473 43.473 43.473 qmin 8.258 8.258 8.258 qmax 9.663 9.663 9.663 amean 8.960 8.960 8.960 amin 8.960 8.960 8.960 amax 8.960 8.960 8.960 emean 0.078 0.078 0.078 emin 0.078 0.078 0.078 emax 0.078 0.078 0.078 imean 44.286 44.286 44.286 imin 44.286 44.286 44.286 imax 44.286 44.286 44.286 excite_mean 0.703 0.703 0.703 fracstop 0.000 0.000 0.000 cjmean 4.146 4.146 4.146 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 98.3 98.3 98.3 kozaiamp 0.0 0.0 0.0