Orbit Fit and Astrometric record for 13XL40

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: 13XL40    
# Created Wed Dec 25 02:09:48 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     15 observations of     15
# Arc:   8.00y
# First observation: 2013/12/01
#  Last observation: 2021/12/01
# Chi-squared of fit:     5.87 DOF:     24 RMS:  0.11
# Min/Max residuals:    -0.18    0.31
# Exact a, adot, b, bdot, g, gdot:
  2.102222E-05  3.701974E-02  7.201115E-07  2.718226E-03  2.821273E-02  2.660288E-03
# Covariance matrix:
  3.3988E-13 -1.5629E-13  1.0397E-14 -9.1896E-15 -1.5018E-13 -3.8706E-13
 -1.5629E-13  1.8567E-13 -9.7738E-15  1.2744E-14 -6.6948E-15  5.8033E-13
  1.0397E-14 -9.7738E-15  1.8380E-13 -3.2158E-14 -7.4271E-15 -3.1120E-14
 -9.1896E-15  1.2744E-14 -3.2158E-14  1.2601E-14 -3.8522E-16  4.2483E-14
 -1.5018E-13 -6.6948E-15 -7.4271E-15 -3.8522E-16  3.5761E-13 -8.9948E-14
 -3.8706E-13  5.8033E-13 -3.1120E-14  4.2483E-14 -8.9948E-14  1.9483E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -14.124573   35.635433   -0.539290   -0.200772   -0.798479  2456627.694978
# Heliocentric elements and errors
Epoch:              2456628.5000  =  2013/12/02
Mean Anomaly:            2.58691 +/-     0.001
Argument of Peri:      274.23000 +/-     0.005
Long of Asc Node:      108.76474 +/-     0.001
Inclination:            14.46716 +/-     0.000
Eccentricity:         0.60280727 +/-    0.0001
Semi-Major Axis:     90.38343840 +/-    0.0270
Time of Perihelion: 2454373.1644 +/-       1.6
Perihelion:          35.89964490 +/-    0.0148
Aphelion:           144.86723190 +/-    0.0445
Period (y)              859.2934 +/-      0.39
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.29038077 +/-    0.0006
Ecliptic Y           20.94777625 +/-    0.0004
Ecliptic Z           -8.64971190 +/-    0.0002
Ecliptic XDOT        -0.00184344 +/-    0.0000
Ecliptic YDOT         0.00310118 +/-    0.0000
Ecliptic ZDOT         0.00019295 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.24869578 +/-    0.0005
Geocenter to KBO     35.44497698 +/-    0.0008
# Hcoef:  7.47

The following table shows the complete astrometric record for 13XL40. 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 (13XL40) followed by the observatory code and reference code for the source of the astrometry.

2013 12  01.19420  02 31 56.450  +00 02 56.28  24.5g 13XL40    W84  C~52S3      
2013 12  01.19557  02 31 56.449  +00 02 56.23  23.2r 13XL40    W84  C~52S3      
2013 12  01.19696  02 31 56.444  +00 02 56.15  22.9i 13XL40    W84  C~52S3      
2013 12  21.14251  02 30 43.476  +00 03 11.82  22.8z 13XL40    W84  C~52S3      
2014 08  19.39449  02 46 11.371  +01 34 19.89  22.7z 13XL40    W84  C~52S3      
2014 08  19.39672  02 46 11.375  +01 34 19.86  23.2r 13XL40    W84  C~52S3      
2014 09  24.30049  02 45 04.601  +01 18 07.17  22.8r 13XL40    W84  C~52S3      
2015 11  22.13711  02 48 15.421  +01 43 41.78  22.2z 13XL40    W84  C~52S3      
2016 11  03.21402  02 57 30.767  +02 37 58.78  22.9r 13XL40    W84  C~52S3      
2016 11  03.21539  02 57 30.772  +02 37 58.71  22.9i 13XL40    W84  C~52S3      
2016 11  10.25685  02 56 54.495  +02 35 36.12  22.5z 13XL40    W84  C~52S3      
2016 12  21.13025  02 53 49.592  +02 30 16.08  23.4r 13XL40    W84  C~52S3      
2021 12  01.242170 03 32 44.677  +06 24 42.90  23.2G 13XL40    G37  C~5J5g      
2021 12  01.291580 03 32 44.432  +06 24 42.02        13XL40    G37  C~5J5g      
2021 12  01.367740 03 32 44.029  +06 24 41.21        13XL40    G37  C~5J5g      

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    -0.11       0.00     0.14
     2   0.0000      0.00    -0.03       0.00     0.10
     3   0.0000      0.00    -0.01       0.00     0.03
     4   0.0546      0.00     0.14       0.00    -0.14
     5   0.7151      0.00     0.01       0.00    -0.03
     6   0.7151      0.00     0.08       0.00    -0.01
     7   0.8134      0.00    -0.11       0.00     0.01
     8   1.9738      0.00    -0.12       0.00    -0.02
     9   2.9241      0.00    -0.00       0.00    -0.07
    10   2.9241      0.00     0.18       0.00    -0.12
    11   2.9434      0.00     0.03       0.00     0.09
    12   3.0553      0.00    -0.00       0.00     0.00
    13   8.0001      0.00     0.03       0.00     0.31
    14   8.0003      0.00     0.10       0.00    -0.09
    15   8.0005      0.00    -0.17       0.00    -0.18

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.

13XL40    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        91.883    91.882    91.883
ecceobj         0.609     0.609     0.609
incobj         14.473    14.473    14.473
qmin           35.095    35.060    34.956
qmax          148.157   149.009   148.528
amean          89.613    89.577    89.533
amin           87.657    87.689    87.523
amax           92.092    92.525    92.351
emean           0.595     0.595     0.596
emin            0.581     0.581     0.582
emax            0.609     0.610     0.610
imean          13.830    13.716    13.537
imin           12.832    12.817    12.462
imax           14.881    14.718    14.270
excite_mean     0.641     0.641     0.640
fracstop        1.000     1.000     1.000
cjmean          3.029     3.029     3.029

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       176.0     179.2     180.4
kozaiamp        179.9     180.0     180.0