Orbit Fit and Astrometric record for 22LZ13

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: 22LZ13    
# Created Tue Apr  1 01:11:28 2025
# Orbit generated from Bernstein formalism
# Fitting     12 observations of     12
# Arc:  28.13d
# First observation: 2022/06/02
#  Last observation: 2022/06/30
Preliminary a, adot, b, bdot, g, gdot:
   0.000000   0.022971  -0.000000  -0.000361   0.023157   0.000000
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit:     0.03 DOF:     19 RMS:  0.01
# Min/Max residuals:    -0.02    0.02
# Exact a, adot, b, bdot, g, gdot:
  1.427673E-05  2.038739E-02 -2.787734E-07 -3.523826E-04  2.262762E-02  6.524378E-03
# Covariance matrix:
  1.9733E-12  3.1956E-09 -1.4788E-14 -9.0357E-12  5.7478E-10  6.3876E-09
  3.1956E-09  6.0506E-06 -2.7776E-11 -1.6974E-08  1.0796E-06  6.8766E-06
 -1.4788E-14 -2.7776E-11  2.5077E-13 -3.3105E-12 -4.9691E-12 -4.0615E-11
 -9.0357E-12 -1.6974E-08 -3.3105E-12  1.3697E-10 -3.0365E-09 -2.4675E-08
  5.7478E-10  1.0796E-06 -4.9691E-12 -3.0365E-09  1.9314E-07  1.5780E-06
  6.3876E-09  6.8766E-06 -4.0615E-11 -2.4675E-08  1.5780E-06  2.5009E-04
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.373877  -72.123370    0.608136    0.005035   -0.812846  2459732.944521
# Heliocentric elements and errors
Epoch:              2459730.5000  =  2022/05/31
Mean Anomaly:           69.06284 +/-    90.915
Argument of Peri:       56.85936 +/-    50.629
Long of Asc Node:      127.67313 +/-     2.018
Inclination:             1.04532 +/-     0.099
Eccentricity:         0.28950055 +/-    0.6999
Semi-Major Axis:     46.03567226 +/-   23.4550
Time of Perihelion: 2437843.7097 +/-   23459.4
Perihelion:          32.70831975 +/-   36.2745
Aphelion:            59.36302477 +/-   44.1916
Period (y)              312.3561 +/-    238.72
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           13.24613232 +/-    0.2634
Ecliptic Y          -43.02132431 +/-    0.8169
Ecliptic Z            0.28844321 +/-    0.0056
Ecliptic XDOT         0.00259185 +/-    0.0007
Ecliptic YDOT         0.00001467 +/-    0.0018
Ecliptic ZDOT        -0.00003760 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.01530369 +/-    0.7845
Geocenter to KBO     44.19378547 +/-    0.8583
# Hcoef:  9.46

The following table shows the complete astrometric record for 22LZ13. 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 (22LZ13) followed by the observatory code and reference code for the source of the astrometry.

2022 06  02.44372  19 17 15.834  -21 52 28.78  26.3r 22LZ13    266  C~6IpZ      
2022 06  02.53086  19 17 15.505  -21 52 29.37  26.3r 22LZ13    266  C~6IpZ      
2022 06  02.61096  19 17 15.202  -21 52 29.91  26.3r 22LZ13    266  C~6IpZ      
2022 06  03.44086  19 17 12.120  -21 52 35.55  25.8r 22LZ13    266  C~6IpZ      
2022 06  03.52767  19 17 11.788  -21 52 36.15  25.8r 22LZ13    266  C~6IpZ      
2022 06  03.61505  19 17 11.452  -21 52 36.74  25.8r 22LZ13    266  C~6IpZ      
2022 06  29.45230  19 15 19.536  -21 56 00.84  25.9r 22LZ13    266  C~6IpZ      
2022 06  29.51532  19 15 19.232  -21 56 01.38  25.9r 22LZ13    266  C~6IpZ      
2022 06  29.57697  19 15 18.936  -21 56 01.90  25.9r 22LZ13    266  C~6IpZ      
2022 06  30.45132  19 15 14.798  -21 56 09.51  25.6r 22LZ13    266  C~6IpZ      
2022 06  30.51613  19 15 14.485  -21 56 10.07  25.6r 22LZ13    266  C~6IpZ      
2022 06  30.57829  19 15 14.185  -21 56 10.59  25.6r 22LZ13    266  C~6IpZ      

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    -0.01       0.00     0.01
     2   0.0002     -4.62    -0.00       0.02     0.01
     3   0.0005     -8.87     0.00       0.04     0.01
     4   0.0027    -52.14    -0.00       0.09    -0.01
     5   0.0030    -56.80     0.01       0.10    -0.01
     6   0.0032    -61.51     0.01       0.13    -0.01
     7   0.0739  -1632.40    -0.00       0.17     0.01
     8   0.0741  -1636.67    -0.01       0.18     0.02
     9   0.0743  -1640.82    -0.00       0.20     0.01
    10   0.0767  -1698.90     0.00       0.04    -0.01
    11   0.0769  -1703.29     0.01       0.04    -0.02
    12   0.0770  -1707.50     0.01       0.06    -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.

22LZ13    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