Orbit Fit and Astrometric record for 19AC77

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: 19AC77    
# Created Tue Apr  1 01:11:09 2025
# Orbit generated from Bernstein formalism
# Fitting      8 observations of      8
# Arc:   1.93y
# First observation: 2019/01/11
#  Last observation: 2020/12/17
Preliminary a, adot, b, bdot, g, gdot:
  -0.000009   0.009513  -0.000002   0.000519   0.013920   0.000000
# Chi-squared of fit:     1.40 DOF:     10 RMS:  0.07
# Min/Max residuals:    -0.12    0.15
# Exact a, adot, b, bdot, g, gdot:
  1.020504E-05  9.261609E-03  9.943271E-07  5.208557E-04  1.463164E-02 -3.274312E-03
# Covariance matrix:
  8.5381E-13 -6.0393E-12  6.2158E-14  3.0701E-14  1.5187E-11 -9.3598E-11
 -6.0393E-12  2.0191E-10 -2.2398E-12 -2.2484E-12 -6.1953E-10  2.6081E-09
  6.2158E-14 -2.2398E-12  5.7174E-13 -3.5253E-13  6.8972E-12 -2.8882E-11
  3.0701E-14 -2.2484E-12 -3.5253E-13  4.2343E-13  7.3994E-12 -2.4638E-11
  1.5187E-11 -6.1953E-10  6.8972E-12  7.3994E-12  1.9379E-09 -7.7130E-09
 -9.3598E-11  2.6081E-09 -2.8882E-11 -2.4638E-11 -7.7130E-09  3.6546E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.662151   88.946486   -0.359569   -0.186485   -0.904139  2458494.633771
# Heliocentric elements and errors
Epoch:              2458490.5000  =  2019/01/07
Mean Anomaly:          254.99679 +/-     1.093
Argument of Peri:       66.53478 +/-     0.753
Long of Asc Node:      163.01844 +/-     0.045
Inclination:            11.97308 +/-     0.002
Eccentricity:         0.38649130 +/-    0.0138
Semi-Major Axis:     57.07797663 +/-    0.2408
Time of Perihelion: 2504431.5945 +/-     379.6
Perihelion:          35.01783526 +/-    0.7992
Aphelion:            79.13811799 +/-    0.8534
Period (y)              431.2321 +/-      2.73
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            0.88827306 +/-    0.0037
Ecliptic Y           67.84507177 +/-    0.2013
Ecliptic Z          -13.81530286 +/-    0.0416
Ecliptic XDOT        -0.00173548 +/-    0.0000
Ecliptic YDOT        -0.00055027 +/-    0.0000
Ecliptic ZDOT         0.00021910 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   69.24308908 +/-    0.1975
Geocenter to KBO     68.34505984 +/-    0.2056
# Hcoef:  6.51

The following table shows the complete astrometric record for 19AC77. 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 (19AC77) followed by the observatory code and reference code for the source of the astrometry.

2019 01  11.13297  05 55 47.055  +11 46 23.83  25.0r 19AC77    807  C~4ZZo      
2019 01  12.13543  05 55 44.067  +11 46 28.00  24.9r 19AC77    807  C~4ZZo      
2019 12  27.17069  05 58 44.847  +11 47 44.81        19AC77    304  C~4ZZo      
2019 12  27.21600  05 58 44.689  +11 47 44.86        19AC77    304  C~4ZZo      
2019 12  27.26033  05 58 44.561  +11 47 44.81        19AC77    304  C~4ZZo      
2019 12  28.19337  05 58 41.534  +11 47 46.11        19AC77    304  C~4ZZo      
2020 12  16.23894  06 01 29.028  +11 49 37.77  24.6r 19AC77    304  C~4ZZo      
2020 12  17.25442  06 01 25.738  +11 49 37.19  24.7r 19AC77    304  C~4ZZo      

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    -0.04       0.00    -0.09
     2   0.0027    -43.84     0.04       4.50     0.15
     3   0.9584   2611.26     0.02      64.92    -0.00
     4   0.9585   2608.94    -0.12      64.99    -0.00
     5   0.9586   2607.06     0.14      64.94    -0.11
     6   0.9612   2562.61    -0.03      66.46    -0.01
     7   1.9305   5023.07    -0.05     169.22     0.06
     8   1.9333   4974.74     0.05     168.75    -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.

19AC77    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        57.548    58.282    56.861
ecceobj         0.376     0.349     0.392
incobj         11.977    11.973    11.980
qmin           34.824    36.710    33.256
qmax           81.514    80.365    83.121
amean          57.331    57.900    57.416
amin           56.629    57.111    56.227
amax           58.387    58.919    58.564
emean           0.378     0.351     0.404
emin            0.364     0.333     0.386
emax            0.396     0.366     0.421
imean          11.521    11.397    11.179
imin           10.787    10.806     9.759
imax           12.268    12.073    12.586
excite_mean     0.428     0.403     0.448
fracstop        1.000     1.000     1.000
cjmean          3.028     3.065     3.003

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       182.9     189.3     184.3
kozaiamp        180.0     180.0     179.9