Orbit Fit and Astrometric record for 22LY13

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: 22LY13    
# Created Sat May  4 01:18:58 2024
# Orbit generated from Bernstein formalism
# Fitting     18 observations of     18
# Arc:   1.27y
# First observation: 2022/06/02
#  Last observation: 2023/09/10
Preliminary a, adot, b, bdot, g, gdot:
   0.000001   0.031960   0.000005   0.008064   0.029471   0.000000
# Chi-squared of fit:     0.46 DOF:     30 RMS:  0.03
# Min/Max residuals:    -0.07    0.07
# Exact a, adot, b, bdot, g, gdot:
  1.727409E-05  3.175433E-02  4.406762E-06  8.168679E-03  2.931285E-02  3.385691E-03
# Covariance matrix:
  2.5473E-13  6.1490E-13 -4.8951E-15  1.2623E-13  7.3497E-13  1.1735E-11
  6.1490E-13  4.5577E-12  1.0028E-13 -2.9544E-12  3.6548E-12 -2.8388E-10
 -4.8951E-15  1.0028E-13  2.4779E-13 -3.4952E-12 -5.6941E-13 -3.2338E-10
  1.2623E-13 -2.9544E-12 -3.4952E-12  9.7290E-11  1.6233E-11  9.2646E-09
  7.3497E-13  3.6548E-12 -5.6941E-13  1.6233E-11  6.7916E-12  1.5479E-09
  1.1735E-11 -2.8388E-10 -3.2338E-10  9.2646E-09  1.5479E-09  8.8447E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.387337  -72.600077    0.601352    0.005260   -0.817877  2459732.944521
# Heliocentric elements and errors
Epoch:              2459730.5000  =  2022/05/31
Mean Anomaly:           29.51626 +/-     6.324
Argument of Peri:      322.15613 +/-     9.341
Long of Asc Node:      284.95279 +/-     0.001
Inclination:            14.39491 +/-     0.010
Eccentricity:         0.14729562 +/-    0.0210
Semi-Major Axis:     39.78444713 +/-    0.2856
Time of Perihelion: 2452215.5290 +/-    1608.0
Perihelion:          33.92437217 +/-    0.8704
Aphelion:            45.64452208 +/-    0.8976
Period (y)              250.9448 +/-      2.70
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            9.88170385 +/-    0.0009
Ecliptic Y          -33.51506174 +/-    0.0029
Ecliptic Z            0.23085085 +/-    0.0000
Ecliptic XDOT         0.00292493 +/-    0.0000
Ecliptic YDOT         0.00059909 +/-    0.0001
Ecliptic ZDOT         0.00076497 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.94224845 +/-    0.0028
Geocenter to KBO     34.11473039 +/-    0.0030
# Hcoef:  9.67

The following table shows the complete astrometric record for 22LY13. 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 (22LY13) followed by the observatory code and reference code for the source of the astrometry.

2022 06  02.44372  19 15 13.122  -21 55 23.66  25.7r 22LY13    266  C~6IpY      
2022 06  02.53086  19 15 12.708  -21 55 23.97  25.7r 22LY13    266  C~6IpY      
2022 06  02.61096  19 15 12.326  -21 55 24.22  25.7r 22LY13    266  C~6IpY      
2022 06  03.44086  19 15 08.443  -21 55 27.03  25.4r 22LY13    266  C~6IpY      
2022 06  03.52767  19 15 08.023  -21 55 27.34  25.4r 22LY13    266  C~6IpY      
2022 06  03.61505  19 15 07.601  -21 55 27.63  25.4r 22LY13    266  C~6IpY      
2022 06  29.45230  19 12 46.144  -21 57 30.26  25.8r 22LY13    266  C~6IpY      
2022 06  29.51813  19 12 45.742  -21 57 30.62  25.8r 22LY13    266  C~6IpY      
2022 06  29.58257  19 12 45.349  -21 57 30.97  25.8r 22LY13    266  C~6IpY      
2022 06  30.45132  19 12 40.144  -21 57 35.96  25.7r 22LY13    266  C~6IpY      
2022 06  30.52034  19 12 39.721  -21 57 36.35  25.7r 22LY13    266  C~6IpY      
2022 06  30.58668  19 12 39.315  -21 57 36.71  25.7r 22LY13    266  C~6IpZ      
2023 09  09.22891  19 14 21.330  -21 21 37.70  24.1V 22LY13    266  C~7umS      
2023 09  09.32430  19 14 21.087  -21 21 37.81  24.1V 22LY13    266  C~7umS      
2023 09  09.41985  19 14 20.847  -21 21 37.90  24.1V 22LY13    266  C~7umS      
2023 09  10.22905  19 14 18.940  -21 21 38.86  23.9V 22LY13    266  C~7umS      
2023 09  10.32490  19 14 18.707  -21 21 38.96  23.9V 22LY13    266  C~7umS      
2023 09  10.42059  19 14 18.477  -21 21 39.04  23.9V 22LY13    266  C~7umS      

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    -0.00
     2   0.0002     -5.75    -0.01       0.43    -0.01
     3   0.0005    -11.06    -0.01       0.86    -0.00
     4   0.0027    -65.00     0.01       5.00    -0.00
     5   0.0030    -70.84     0.01       5.44     0.00
     6   0.0032    -76.70     0.03       5.91    -0.00
     7   0.0739  -2044.67     0.07     132.58     0.03
     8   0.0741  -2050.27     0.06     132.92     0.03
     9   0.0743  -2055.74     0.05     133.25     0.03
    10   0.0767  -2128.21    -0.04     137.29    -0.02
    11   0.0769  -2134.10    -0.05     137.64    -0.03
    12   0.0771  -2139.75    -0.07     137.98    -0.03
    13   1.2698   -457.86     0.01    2101.59    -0.02
    14   1.2700   -461.24     0.00    2101.91    -0.01
    15   1.2703   -464.58     0.00    2102.24    -0.01
    16   1.2725   -491.13    -0.01    2104.67     0.02
    17   1.2728   -494.37    -0.00    2104.98     0.01
    18   1.2730   -497.56    -0.00    2105.31     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.

22LY13    quality flag:1

Type:           3:2E  SCATNEAR  SCATEXTD

axisobj        39.383    41.569    37.893
ecceobj         0.141     0.223     0.070
incobj         14.430    14.465    14.394
qmin           32.868    31.390    34.133
qmax           46.783    52.764    42.574
amean          39.457    41.893    38.197
amin           38.953    41.083    37.855
amax           40.005    42.521    38.569
emean           0.141     0.207     0.076
emin            0.111     0.171     0.048
emax            0.170     0.248     0.106
imean          16.174    16.366    17.153
imin           15.411    14.345    12.577
imax           17.031    18.243    19.524
excite_mean     0.313     0.350     0.305
fracstop        1.000     1.000     1.000
cjmean          2.939     2.932     2.931

libcent 0       181.2    -180.0    -180.0
libamp  0       128.5    -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       183.3     177.4     174.6
kozaiamp        179.9     180.0     180.0