Orbit Fit and Astrometric record for 21CG56

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: 21CG56    
# Created Wed Apr  2 01:11:29 2025
# Orbit generated from Bernstein formalism
# Fitting      8 observations of      8
# Arc:   3.06y
# First observation: 2021/02/15
#  Last observation: 2024/03/08
Preliminary a, adot, b, bdot, g, gdot:
   0.000012   0.011212  -0.000011   0.002559   0.016227   0.000000
# Chi-squared of fit:     2.07 DOF:     10 RMS:  0.09
# Min/Max residuals:    -0.19    0.14
# Exact a, adot, b, bdot, g, gdot:
  1.093892E-05  1.134858E-02  2.311122E-06  2.586193E-03  1.628934E-02  4.049620E-03
# Covariance matrix:
  7.0556E-13 -6.5760E-13  1.5515E-14 -9.7075E-14 -1.9701E-13 -1.2209E-11
 -6.5760E-13  2.3561E-11 -1.2368E-12  5.6467E-12  3.5880E-11  6.9966E-10
  1.5515E-14 -1.2368E-12  6.9584E-13 -5.1920E-13 -1.9448E-12 -3.6991E-11
 -9.7075E-14  5.6467E-12 -5.1920E-13  1.4705E-12  8.6962E-12  1.6857E-10
 -1.9701E-13  3.5880E-11 -1.9448E-12  8.6962E-12  5.8185E-11  1.0763E-09
 -1.2209E-11  6.9966E-10 -3.6991E-11  1.6857E-10  1.0763E-09  2.0884E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.597674  123.805255   -0.384947   -0.057788   -0.917627  2459260.842241
# Heliocentric elements and errors
Epoch:              2459260.5000  =  2021/02/15
Mean Anomaly:           87.99825 +/-     1.524
Argument of Peri:      218.71873 +/-     0.856
Long of Asc Node:      139.23836 +/-     0.002
Inclination:            13.39344 +/-     0.002
Eccentricity:         0.35021203 +/-    0.0081
Semi-Major Axis:     56.46254518 +/-    0.3046
Time of Perihelion: 2421380.4417 +/-     579.8
Perihelion:          36.68868267 +/-    0.5004
Aphelion:            76.23640769 +/-    0.6168
Period (y)              424.2764 +/-      3.43
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -34.91330230 +/-    0.0160
Ecliptic Y           51.45408174 +/-    0.0238
Ecliptic Z           -3.85209406 +/-    0.0018
Ecliptic XDOT        -0.00197154 +/-    0.0000
Ecliptic YDOT        -0.00046792 +/-    0.0000
Ecliptic ZDOT         0.00039090 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   62.30007893 +/-    0.0216
Geocenter to KBO     61.38985647 +/-    0.0287
# Hcoef:  7.20

The following table shows the complete astrometric record for 21CG56. 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 (21CG56) followed by the observatory code and reference code for the source of the astrometry.

2021 02  15.34144  08 20 58.943  +15 48 04.87  25.1r 21CG56    568  C~7xYc      
2021 02  16.31223  08 20 55.866  +15 48 18.19  25.0r 21CG56    568  C~7xYc      
2022 04  29.99685  08 21 59.554  +15 58 56.10  25.1r 21CG56    304  C~7xYc      
2024 02  05.13346  08 29 46.850  +15 44 02.98  25.1r 21CG56    304  C~7xYc      
2024 02  05.14167  08 29 46.841  +15 44 03.22  25.0r 21CG56    304  C~7xYc      
2024 02  05.17666  08 29 46.723  +15 44 03.73  25.1r 21CG56    304  C~7xYc      
2024 02  05.18506  08 29 46.690  +15 44 03.58  25.1r 21CG56    304  C~7xYc      
2024 03  08.03608  08 28 11.197  +15 51 16.96  25.2r 21CG56    304  C~7xYc      

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     0.02       0.00     0.04
     2   0.0027    -46.28    -0.05       2.75     0.00
     3   1.2010    700.69     0.05     835.32    -0.07
     4   2.9700   7467.30    -0.19    1557.06    -0.07
     5   2.9700   7467.12     0.06    1557.26     0.12
     6   2.9701   7465.34     0.09    1557.34     0.14
     7   2.9701   7464.92     0.10    1557.08    -0.14
     8   3.0573   6021.37    -0.07    1648.00    -0.02

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.

21CG56    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        57.121    58.022    56.334
ecceobj         0.350     0.372     0.328
incobj         13.353    13.354    13.351
qmin           36.146    35.169    36.846
qmax           78.854    82.157    76.229
amean          56.931    58.077    56.048
amin           56.232    57.025    55.397
amax           57.833    59.044    56.865
emean           0.351     0.376     0.327
emin            0.337     0.359     0.314
emax            0.365     0.393     0.342
imean          11.880    12.154    11.984
imin           11.468    11.132    11.380
imax           12.464    13.091    12.528
excite_mean     0.407     0.431     0.388
fracstop        1.000     1.000     1.000
cjmean          3.049     3.034     3.059

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       186.4     185.0     180.5
kozaiamp        180.0     180.0     180.0