Orbit Fit and Astrometric record for 13LU35

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: 13LU35    
# Created Mon Dec 18 02:37:56 2017
# Orbit generated from Bernstein formalism
# Fitting   26 observations of   26
# Arc: 115.01d
# First observation: 2013/06/05
#  Last observation: 2013/09/28
Preliminary a, adot, b, bdot, g, gdot:
  -0.000008   0.027584  -0.000005  -0.000403   0.023947   0.000000
# Chi-squared of fit:    14.58 DOF:   46 RMS:  0.13
# Min/Max residuals:    -0.32    0.70
# Exact a, adot, b, bdot, g, gdot:
  1.481787E-05  2.130143E-02 -1.352911E-08 -6.004172E-04  2.292406E-02  1.616095E-03
# Covariance matrix:
  1.4217E-13 -3.7664E-12  3.0267E-15 -1.3314E-13 -7.4271E-14  1.1675E-10
 -3.7664E-12  2.9300E-09 -2.6177E-12  9.6968E-11  3.8543E-10 -4.5904E-08
  3.0267E-15 -2.6177E-12  1.0329E-13 -4.5268E-13 -3.4486E-13  4.1030E-11
 -1.3314E-13  9.6968E-11 -4.5268E-13  6.2830E-12  1.2564E-11 -1.5556E-09
 -7.4271E-14  3.8543E-10 -3.4486E-13  1.2564E-11  5.4499E-11 -5.4093E-09
  1.1675E-10 -4.5904E-08  4.1030E-11 -1.5556E-09 -5.4093E-09  8.2783E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.610367  -80.568921    0.427467    0.042076   -0.922078  2456448.750788
# Heliocentric elements and errors
Epoch:              2456440.5000  =  2013/05/28
Mean Anomaly:          106.33042 +/-    11.714
Argument of Peri:        7.90041 +/-    11.539
Long of Asc Node:      157.06947 +/-     0.126
Inclination:             3.00751 +/-     0.004
Eccentricity:         0.07027317 +/-    0.0392
Semi-Major Axis:     43.49169417 +/-    0.1232
Time of Perihelion: 2425497.4621 +/-    3406.3
Perihelion:          40.43539476 +/-    1.7084
Aphelion:            46.54799358 +/-    1.7096
Period (y)              286.8255 +/-      1.22
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            6.87108887 +/-    0.0023
Ecliptic Y          -43.96596934 +/-    0.0138
Ecliptic Z            1.98674711 +/-    0.0006
Ecliptic XDOT         0.00253548 +/-    0.0000
Ecliptic YDOT         0.00022318 +/-    0.0001
Ecliptic ZDOT        -0.00006270 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.54397251 +/-    0.0137
Geocenter to KBO     43.62228684 +/-    0.0140
# Hcoef:  9.95

The following table shows the complete astrometric record for 13LU35. 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 (13LU35) followed by the observatory code and reference code for the source of the astrometry.

2013 06  05.25001  18 40 15.50   -20 30 00.1         13LU35    268  C~114N      
2013 06  05.31180  18 40 15.23   -20 30 00.2         13LU35    268  C~114N      
2013 06  05.36936  18 40 15.00   -20 30 00.5         13LU35    268  C~114N      
2013 06  06.24368  18 40 11.22   -20 30 03.2         13LU35    268  C~114N      
2013 06  06.30303  18 40 10.95   -20 30 03.3         13LU35    268  C~114N      
2013 06  06.36591  18 40 10.67   -20 30 03.4         13LU35    268  C~114N      
2013 06  09.16881  18 39 58.35   -20 30 12.5         13LU35    268  C~114N      
2013 06  09.16986  18 39 58.34   -20 30 12.3   26.0R 13LU35    268  C~114N      
2013 06  09.20546  18 39 58.18   -20 30 12.6         13LU35    268  C~114N      
2013 06  09.21040  18 39 58.14   -20 30 12.5         13LU35    268  C~114N      
2013 06  09.26181  18 39 57.93   -20 30 12.8         13LU35    268  C~114N      
2013 06  09.29748  18 39 57.77   -20 30 12.9         13LU35    268  C~114N      
2013 06  09.30355  18 39 57.74   -20 30 12.9         13LU35    268  C~114N      
2013 07  05.48836  18 37 53.83   -20 32 04.7         13LU35    266  C~114N      
2013 07  06.31422  18 37 49.87   -20 32 09.5         13LU35    266  C~114N      
2013 07  06.40236  18 37 49.44   -20 32 10.0         13LU35    266  C~114N      
2013 07  06.48552  18 37 49.04   -20 32 10.4         13LU35    266  C~114N      
2013 09  07.29851  18 34 09.97   -20 37 52.0         13LU35    568  C~114N      
2013 09  27.49918  18 34 02.48   -20 39 14.3   26.3R 13LU35    250  S~11V4      
2013 09  27.50765  18 34 02.48   -20 39 14.3         13LU35    250  S~11V4      
2013 09  27.51692  18 34 02.49   -20 39 14.4         13LU35    250  S~11V4      
2013 09  27.52539  18 34 02.49   -20 39 14.4         13LU35    250  S~11V4      
2013 09  28.22922  18 34 02.93   -20 39 16.7         13LU35    250  S~11V4      
2013 09  28.23769  18 34 02.94   -20 39 16.7         13LU35    250  S~11V4      
2013 09  28.24696  18 34 02.95   -20 39 16.8         13LU35    250  S~11V4      
2013 09  28.25542  18 34 02.95   -20 39 16.8         13LU35    250  S~11V4      

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    -0.08
  2   0.0002     -3.79    -0.01       0.16    -0.00
  3   0.0003     -7.04     0.28       0.09    -0.16
  4   0.0027    -60.20     0.14       1.09    -0.18
  5   0.0029    -64.00     0.04       1.25    -0.09
  6   0.0031    -67.93     0.01       1.43    -0.00
  7   0.0107   -241.24    -0.02       4.34    -0.10
  8   0.0107   -241.36    -0.08       4.55     0.11
  9   0.0108   -243.63    -0.08       4.41    -0.06
 10   0.0108   -244.18    -0.32       4.55     0.07
 11   0.0110   -247.14    -0.00       4.45    -0.08
 12   0.0111   -249.39     0.02       4.51    -0.06
 13   0.0111   -249.81    -0.01       4.54    -0.04
 14   0.0828  -1994.18    -0.04      10.60     0.70
 15   0.0850  -2050.01    -0.02       9.48     0.10
 16   0.0853  -2056.07    -0.01       9.38     0.06
 17   0.0855  -2061.70     0.09       9.35     0.07
 18   0.2575  -5154.39     0.08    -137.59    -0.17
 19   0.3128  -5264.36     0.02    -213.44    -0.03
 20   0.3128  -5264.36    -0.05    -213.44     0.00
 21   0.3128  -5264.22     0.01    -213.55    -0.07
 22   0.3129  -5264.22    -0.05    -213.55    -0.04
 23   0.3148  -5258.19    -0.05    -216.22     0.02
 24   0.3148  -5258.05     0.01    -216.23     0.04
 25   0.3148  -5257.92     0.06    -216.34    -0.03
 26   0.3149  -5257.92    -0.01    -216.34     0.00

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.

13LU35    quality flag:2

Type:      CLASSICAL  SCATNEAR CLASSICAL

axisobj        43.472    44.395    43.292
ecceobj         0.067     0.178     0.044
incobj          3.005     3.014     3.008
qmin           39.689    36.044    40.545
qmax           48.004    53.727    46.656
amean          43.721    44.498    43.517
amin           43.346    44.071    43.172
amax           44.123    45.089    43.871
emean           0.058     0.146     0.047
emin            0.036     0.111     0.029
emax            0.089     0.192     0.064
imean           2.999     3.941     2.996
imin            2.181     2.186     2.125
imax            3.763     5.363     3.762
excite_mean     0.079     0.162     0.071
fracstop        1.000     1.000     1.000
cjmean          3.091     3.075     3.090

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     178.3     175.2
kozaiamp        180.0     180.0     180.0