Orbit Fit and Astrometric record for 99HA12

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: 99HA12    
# Created Fri Mar 29 01:09:57 2024
# Orbit generated from Bernstein formalism
# Fitting      8 observations of      8
# Arc:  49.82d
# First observation: 1999/04/17
#  Last observation: 1999/06/06
Preliminary a, adot, b, bdot, g, gdot:
  -0.000000   0.032547  -0.000004   0.000065   0.026345   0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit:    12.17 DOF:     11 RMS:  0.22
# Min/Max residuals:    -0.44    0.46
# Exact a, adot, b, bdot, g, gdot:
  1.544684E-05  2.420691E-02 -4.545627E-07 -2.178344E-04  2.503201E-02  1.743692E-02
# Covariance matrix:
  6.1633E-13  1.6924E-10 -6.3230E-14  5.8207E-12  2.7671E-11 -1.6944E-09
  1.6924E-10  2.2928E-07 -8.7360E-11  7.8158E-09  3.4734E-08 -2.9550E-06
 -6.3230E-14 -8.7360E-11  4.0929E-13 -6.5575E-12 -1.3202E-11  1.1390E-09
  5.8207E-12  7.8158E-09 -6.5575E-12  3.3359E-10  1.1834E-09 -1.0111E-07
  2.7671E-11  3.4734E-08 -1.3202E-11  1.1834E-09  5.2833E-09 -4.4060E-07
 -1.6944E-09 -2.9550E-06  1.1390E-09 -1.0111E-07 -4.4060E-07  4.0682E-05
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.634662 -156.956230   -0.062319    0.063750   -1.007376  2451285.692553
# Heliocentric elements and errors
Epoch:              2451280.5000  =  1999/04/12
Mean Anomaly:           18.32326 +/-    18.040
Argument of Peri:        4.15636 +/-     1.083
Long of Asc Node:      105.78203 +/-     0.516
Inclination:             3.57514 +/-     0.004
Eccentricity:         0.69776851 +/-    0.2477
Semi-Major Axis:     76.71129332 +/-   49.5124
Time of Perihelion: 2438789.7783 +/-    2233.0
Perihelion:          23.18456853 +/-   24.1878
Aphelion:           130.23801811 +/-   86.1818
Period (y)              671.8884 +/-    650.49
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -37.58329946 +/-    0.1065
Ecliptic Y          -16.05826710 +/-    0.0453
Ecliptic Z            2.53252898 +/-    0.0074
Ecliptic XDOT        -0.00071891 +/-    0.0007
Ecliptic YDOT        -0.00317319 +/-    0.0002
Ecliptic ZDOT         0.00009715 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.94857804 +/-    0.0994
Geocenter to KBO     39.94885690 +/-    0.1160
# Hcoef:  7.71

The following table shows the complete astrometric record for 99HA12. 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 (99HA12) followed by the observatory code and reference code for the source of the astrometry.

1999 04  17.19181  13 30 41.27   -05 34 46.3   23.4R 99HA12    695  Ca4930      
1999 04  17.27262  13 30 40.88   -05 34 44.0         99HA12    695  Ca4930      
1999 04  17.37005  13 30 40.44   -05 34 41.6         99HA12    695  Ca4930      
1999 05  06.89051  13 29 12.37   -05 26 29.1         99HA12    950  Ca4930      
1999 05  06.96282  13 29 12.04   -05 26 27.0         99HA12    950  Ca4930      
1999 05  07.02490  13 29 11.77   -05 26 25.8         99HA12    950  Ca4930      
1999 06  05.95678  13 27 27.09   -05 17 54.0   23.6R 99HA12    950  Ca5574      
1999 06  06.01610  13 27 26.99   -05 17 53.7         99HA12    950  Ca5574      

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     0.07
     2   0.0002     -6.26    -0.17      -0.00     0.13
     3   0.0005    -13.25     0.23      -0.19     0.03
     4   0.0539  -1417.18     0.23     -26.26    -0.27
     5   0.0541  -1422.54    -0.17     -26.12     0.06
     6   0.0543  -1426.73    -0.11     -26.49    -0.15
     7   0.1362  -3068.81    -0.44    -127.14     0.07
     8   0.1364  -3070.30     0.46    -127.41     0.08

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.

99HA12    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