Orbit Fit and Astrometric record for 22FG12

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: 22FG12    
# Created Fri Mar 29 01:19:47 2024
# Orbit generated from Bernstein formalism
# Fitting     13 observations of     13
# Arc:   3.23y
# First observation: 2020/01/30
#  Last observation: 2023/04/24
Preliminary a, adot, b, bdot, g, gdot:
  -0.000010   0.024083  -0.000017   0.009580   0.024330   0.000000
# Chi-squared of fit:    25.79 DOF:     20 RMS:  0.25
# Min/Max residuals:    -0.58    0.42
# Exact a, adot, b, bdot, g, gdot:
  1.551128E-05  2.403776E-02  4.521507E-06  9.328559E-03  2.541888E-02 -2.924345E-03
# Covariance matrix:
  2.8920E-13 -1.3615E-13  1.0080E-14 -7.0859E-14  2.5738E-13 -2.5931E-12
 -1.3615E-13  1.1734E-11  2.3646E-13 -1.9338E-12  4.2790E-11 -6.1791E-11
  1.0080E-14  2.3646E-13  2.9176E-13 -2.1743E-13  1.1855E-12 -3.7175E-12
 -7.0859E-14 -1.9338E-12 -2.1743E-13  8.7391E-13 -9.3479E-12  2.7711E-11
  2.5738E-13  4.2790E-11  1.1855E-12 -9.3479E-12  1.6757E-10 -3.0855E-10
 -2.5931E-12 -6.1791E-11 -3.7175E-12  2.7711E-11 -3.0855E-10  9.6189E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.156960 -160.625443    0.932533    0.000958   -0.341997  2458878.829001
# Heliocentric elements and errors
Epoch:              2458870.5000  =  2020/01/22
Mean Anomaly:          297.48734 +/-     0.371
Argument of Peri:       78.84507 +/-     0.605
Long of Asc Node:      197.64102 +/-     0.001
Inclination:            21.26743 +/-     0.004
Eccentricity:         0.14554557 +/-    0.0009
Semi-Major Axis:     41.73642037 +/-    0.0716
Time of Perihelion: 2475972.0982 +/-      91.6
Perihelion:          35.66186937 +/-    0.0714
Aphelion:            47.81097136 +/-    0.0899
Period (y)              269.6379 +/-      0.69
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -37.74057096 +/-    0.0189
Ecliptic Y          -12.29265116 +/-    0.0066
Ecliptic Z            0.10790010 +/-    0.0001
Ecliptic XDOT         0.00116693 +/-    0.0000
Ecliptic YDOT        -0.00233479 +/-    0.0000
Ecliptic ZDOT         0.00100368 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.69221097 +/-    0.0181
Geocenter to KBO     39.34083335 +/-    0.0200
# Hcoef:  8.19

The following table shows the complete astrometric record for 22FG12. 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 (22FG12) followed by the observatory code and reference code for the source of the astrometry.

2020 01  30.32820  13 11 45.99   -07 26 15.2   24.3R 22FG12    W93  C~5aiY      
2020 01  30.35785  13 11 45.95   -07 26 15.0   24.4R 22FG12    W93  C~5aiY      
2020 02  01.30091  13 11 43.94   -07 25 51.9   23.6R 22FG12    W93  C~5aiY      
2020 02  01.33465  13 11 43.89   -07 25 50.7   23.7R 22FG12    W93  C~5aiY      
2020 02  01.36539  13 11 43.88   -07 25 50.3   23.4R 22FG12    W93  C~5aiY      
2022 03  26.14496  13 21 05.50   -07 06 13.1   24.0R 22FG12    W93  C~5aiY      
2022 03  26.18023  13 21 05.38   -07 06 12.3   23.8R 22FG12    W93  C~5aiY      
2022 03  26.21168  13 21 05.20   -07 06 11.0   23.8R 22FG12    W93  C~5aiY      
2022 03  28.14190  13 20 56.48   -07 05 05.9   23.9R 22FG12    W93  C~5aiY      
2022 03  28.17563  13 20 56.37   -07 05 05.1   23.6R 22FG12    W93  C~5aiY      
2022 03  28.21163  13 20 56.19   -07 05 04.2   24.1R 22FG12    W93  C~5aiY      
2023 04  24.192390 13 24 58.662  -06 50 49.52  23.6G 22FG12    G37  C~6hd9      
2023 04  24.252030 13 24 58.402  -06 50 47.72        22FG12    G37  C~6hd9      

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    -0.12       0.00     0.26
     2   0.0001     -0.63    -0.19      -0.04     0.08
     3   0.0054    -37.04     0.24      10.03    -0.58
     4   0.0055    -38.18    -0.18      10.86     0.08
     5   0.0056    -38.47     0.19      11.17     0.24
     6   2.1514   7266.14    -0.36    4246.75    -0.03
     7   2.1515   7264.18     0.35    4246.82    -0.15
     8   2.1516   7261.21    -0.25    4247.02    -0.12
     9   2.1569   7116.28    -0.34    4258.86     0.17
    10   2.1570   7114.46     0.42    4258.99     0.12
    11   2.1571   7111.63     0.35    4258.82    -0.25
    12   3.2303  10150.63    -0.24    6402.66     0.10
    13   3.2305  10146.35     0.13    6402.89     0.07

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.

22FG12    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.465    41.672    41.261
ecceobj         0.141     0.138     0.143
incobj         21.339    21.352    21.327
qmin           35.290    35.546    35.019
qmax           48.420    48.604    48.252
amean          41.697    41.921    41.470
amin           41.375    41.565    41.106
amax           42.081    42.302    41.866
emean           0.134     0.133     0.135
emin            0.117     0.117     0.118
emax            0.152     0.150     0.153
imean          21.888    21.870    21.902
imin           21.213    21.268    21.223
imax           22.480    22.442    22.551
excite_mean     0.396     0.395     0.397
fracstop        1.000     1.000     1.000
cjmean          2.886     2.888     2.884

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       177.7     176.9     178.3
kozaiamp        179.9     180.0     180.0