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: 96AR20
# Created Sat Apr 27 01:09:33 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 12.98d
# First observation: 1996/01/12
# Last observation: 1996/01/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.375624 0.000003 -0.054297 0.157953 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 90.69 DOF: 12 RMS: 0.56
# Min/Max residuals: -1.50 1.17
# Exact a, adot, b, bdot, g, gdot:
4.780878E-05 5.284408E-01 -4.900251E-06 -5.537701E-02 1.822212E-01 1.681501E-01
# Covariance matrix:
2.6995E-12 2.4974E-08 -4.6146E-13 -1.8688E-10 3.9916E-09 1.6917E-08
2.4974E-08 2.8287E-04 -5.3031E-09 -2.0871E-06 4.5133E-05 1.7611E-04
-4.6146E-13 -5.3031E-09 4.9664E-13 2.5439E-11 -8.4579E-10 -3.2020E-09
-1.8688E-10 -2.0871E-06 2.5439E-11 1.6247E-08 -3.3313E-07 -1.3352E-06
3.9916E-09 4.5133E-05 -8.4579E-10 -3.3313E-07 7.2014E-06 2.8167E-05
1.6917E-08 1.7611E-04 -3.2020E-09 -1.3352E-06 2.8167E-05 1.2901E-04
# lat0 lon0 xBary yBary zBary JD0
3.421442 124.032851 0.214802 0.057686 -0.966426 2450094.865950
# Heliocentric elements and errors
Epoch: 2450090.5000 = 1996/01/08
Mean Anomaly: 10.39365 +/- 1.264
Argument of Peri: 108.87866 +/- 0.834
Long of Asc Node: 329.20521 +/- 0.686
Inclination: 6.37447 +/- 0.167
Eccentricity: 0.57386111 +/- 0.0382
Semi-Major Axis: 13.59303354 +/- 1.0146
Time of Perihelion: 2467867.1457 +/- 25.1
Perihelion: 5.79252027 +/- 0.6758
Aphelion: 21.39354681 +/- 1.6793
Period (y) 50.1167 +/- 5.61
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -3.42624608 +/- 0.0451
Ecliptic Y 5.45476534 +/- 0.0669
Ecliptic Z 0.32750466 +/- 0.0048
Ecliptic XDOT -0.00801167 +/- 0.0002
Ecliptic YDOT -0.00231060 +/- 0.0001
Ecliptic ZDOT -0.00067997 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 6.44987491 +/- 0.0614
Geocenter to KBO 5.48783650 +/- 0.0808
# Hcoef: 13.93
The following table shows the complete astrometric record for 96AR20. 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 (96AR20) followed by the observatory code and reference code for the source of the astrometry.
1996 01 12.36523 08 28 55.05 +22 34 12.1 21.4V 96AR20 691 Cc0653 1996 01 12.38815 08 28 54.51 +22 34 13.0 21.8V 96AR20 691 Cc0653 1996 01 12.41121 08 28 53.93 +22 34 14.9 21.5V 96AR20 691 Cc0653 1996 01 18.41614 08 26 24.09 +22 40 12.8 21.4V 96AR20 691 Cc0653 1996 01 18.43859 08 26 23.54 +22 40 14.7 22.0V 96AR20 691 Cc0653 1996 01 18.46122 08 26 22.85 +22 40 15.1 22.1V 96AR20 691 Cc0653 1996 01 25.29562 08 23 28.53 +22 46 34.2 22.4V 96AR20 691 Cc0653 1996 01 25.31860 08 23 28.00 +22 46 34.7 22.0V 96AR20 691 Cc0653 1996 01 25.34131 08 23 27.22 +22 46 36.6 22.0V 96AR20 691 Cc0653
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 -0.40 0.00 0.02
2 0.0001 -7.48 0.17 -0.93 -0.33
3 0.0001 -15.73 0.01 -1.02 0.16
4 0.0166 -2115.91 0.13 -149.41 0.04
5 0.0166 -2123.76 0.40 -149.36 0.75
6 0.0167 -2133.13 -0.82 -151.24 -0.43
7 0.0354 -4567.27 0.05 -348.53 0.22
8 0.0355 -4574.52 1.17 -349.75 -0.24
9 0.0355 -4585.46 -1.50 -350.40 -0.13
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.
96AR20 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