Orbit Fit and Astrometric record for 96AR20

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 Fri Nov  1 01:07:48 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:
  4.780877E-05  5.284408E-01 -4.900250E-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:            21.39354680 +/-    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