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 Sat Dec  4 02:12:22 2021
# Orbit generated from Bernstein formalism
# Fitting     12 observations of     12
# Arc:   3.06y
# First observation: 2013/12/01
#  Last observation: 2016/12/21
Preliminary a, adot, b, bdot, g, gdot:
  -0.000060   0.036915  -0.000003   0.002699   0.027896   0.000000
# Chi-squared of fit:     2.33 DOF:     18 RMS:  0.08
# Min/Max residuals:    -0.20    0.14
# Exact a, adot, b, bdot, g, gdot:
  2.108706E-05  3.701890E-02  8.425572E-07  2.718076E-03  2.821283E-02  2.652266E-03
# Covariance matrix:
  3.5911E-13 -3.6933E-13  7.8097E-15 -1.9343E-14 -1.2705E-13 -2.2402E-12
 -3.6933E-13  2.5631E-12 -1.7720E-14  1.5946E-13 -2.6243E-13  2.1283E-11
  7.8097E-15 -1.7720E-14  2.6432E-13 -1.0569E-13 -1.1791E-14 -1.4919E-13
 -1.9343E-14  1.5946E-13 -1.0569E-13  8.7929E-14 -1.1432E-14  1.3644E-12
 -1.2705E-13 -2.6243E-13 -1.1791E-14 -1.1432E-14  3.8546E-13 -2.3138E-12
 -2.2402E-12  2.1283E-11 -1.4919E-13  1.3644E-12 -2.3138E-12  1.8226E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
  -14.124573   35.635433   -0.539290   -0.200772   -0.798479  2456627.694978
# Heliocentric elements and errors
Epoch:              2456620.5000  =  2013/11/24
Mean Anomaly:            2.57320 +/-     0.010
Argument of Peri:      274.26025 +/-     0.052
Long of Asc Node:      108.76505 +/-     0.002
Inclination:            14.46713 +/-     0.000
Eccentricity:         0.60265348 +/-    0.0003
Semi-Major Axis:     90.35240204 +/-    0.0610
Time of Perihelion: 2454378.2793 +/-       8.6
Perihelion:          35.90121218 +/-    0.0358
Aphelion:           144.80359190 +/-    0.1013
Period (y)              858.8509 +/-      0.87
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.29028453 +/-    0.0006
Ecliptic Y           20.94771008 +/-    0.0004
Ecliptic Z           -8.64967804 +/-    0.0002
Ecliptic XDOT        -0.00184400 +/-    0.0000
Ecliptic YDOT         0.00310066 +/-    0.0000
Ecliptic ZDOT         0.00019313 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.24863703 +/-    0.0005
Geocenter to KBO     35.44486805 +/-    0.0008
# Hcoef:  7.46

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      

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    -0.07       0.00     0.14
     2   0.0000     -0.03    -0.01      -0.04     0.08
     3   0.0000     -0.13    -0.02      -0.09     0.00
     4   0.0546  -1030.81     0.09     368.59    -0.20
     5   0.7151  13927.31     0.01    1049.67    -0.04
     6   0.7151  13927.36     0.08    1049.62    -0.04
     7   0.8134  12660.51    -0.07     450.50     0.04
     8   1.9738  15879.29    -0.02     982.17     0.05
     9   2.9241  24897.47    -0.09    1393.92    -0.03
    10   2.9241  24897.52     0.07    1393.83    -0.13
    11   2.9434  24328.94     0.01    1433.24     0.11
    12   3.0553  21568.48     0.03    2022.23     0.03

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        91.833    92.054    91.614
ecceobj         0.609     0.610     0.608
incobj         14.473    14.473    14.474
qmin           35.008    35.043    35.034
qmax          149.233   148.269   150.953
amean          89.851    89.472    90.562
amin           87.990    87.637    87.715
amax           92.673    92.104    93.461
emean           0.597     0.595     0.600
emin            0.580     0.581     0.581
emax            0.612     0.610     0.615
imean          13.785    13.762    13.592
imin           12.842    12.844    12.708
imax           14.909    14.792    14.676
excite_mean     0.643     0.641     0.644
fracstop        1.000     1.000     1.000
cjmean          3.028     3.028     3.030

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       179.1     178.2     169.6
kozaiamp        180.0     180.0     180.0