Orbit Fit and Astrometric record for 13LY35

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: 13LY35    
# Created Thu Oct 18 01:09:24 2018
# Orbit generated from Bernstein formalism
# Fitting   28 observations of   28
# Arc:   4.94y
# First observation: 2010/06/07
#  Last observation: 2015/05/18
Preliminary a, adot, b, bdot, g, gdot:
  -0.000409   0.024170  -0.000038   0.002131   0.024741   0.000000
# Chi-squared of fit:    22.18 DOF:   50 RMS:  0.16
# Min/Max residuals:    -0.62    0.36
# Exact a, adot, b, bdot, g, gdot:
  1.516499E-05  2.388135E-02  8.063748E-07  2.108619E-03  2.447090E-02 -1.425654E-03
# Covariance matrix:
  6.0457E-13 -4.1848E-13  3.1646E-14 -2.9951E-14 -2.0759E-13 -2.5539E-12
 -4.1848E-13  3.6286E-13 -3.1429E-14  2.9408E-14  2.4762E-13  2.5068E-12
  3.1646E-14 -3.1429E-14  2.4857E-13 -7.6855E-14 -3.0865E-14 -2.3986E-13
 -2.9951E-14  2.9408E-14 -7.6855E-14  3.0937E-14  2.5256E-14  2.2236E-13
 -2.0759E-13  2.4762E-13 -3.0865E-14  2.5256E-14  6.8830E-13  2.1446E-12
 -2.5539E-12  2.5068E-12 -2.3986E-13  2.2236E-13  2.1446E-12  1.8950E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.248198 -119.869483   -0.279775   -0.123021   -0.966777  2455354.899116
# Heliocentric elements and errors
Epoch:              2455350.5000  =  2010/06/03
Mean Anomaly:          292.88153 +/-     0.076
Argument of Peri:       18.92369 +/-     0.091
Long of Asc Node:      294.67305 +/-     0.002
Inclination:             8.71129 +/-     0.000
Eccentricity:         0.05797844 +/-    0.0002
Semi-Major Axis:     42.66931819 +/-    0.0055
Time of Perihelion: 2474331.1692 +/-      21.0
Perihelion:          40.19541783 +/-    0.0095
Aphelion:            45.14321855 +/-    0.0098
Period (y)              278.7287 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -20.42724635 +/-    0.0007
Ecliptic Y          -36.14005203 +/-    0.0012
Ecliptic Z           -5.15574648 +/-    0.0002
Ecliptic XDOT         0.00238243 +/-    0.0000
Ecliptic YDOT        -0.00121322 +/-    0.0000
Ecliptic ZDOT         0.00025412 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.83249307 +/-    0.0011
Geocenter to KBO     40.86485893 +/-    0.0014
# Hcoef:  5.69

The following table shows the complete astrometric record for 13LY35. 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 (13LY35) followed by the observatory code and reference code for the source of the astrometry.

2010 06  07.39835  15 44 57.155  -27 15 14.76  22.3r 13LY35    F51  C~1w3u      
2011 06  07.38716  15 51 06.462  -27 26 04.25  21.9w 13LY35    F51  C~1w3u      
2011 06  07.40142  15 51 06.391  -27 26 03.89  21.9G 13LY35    F51  C~2jhD      
2011 06  07.41559  15 51 06.314  -27 26 03.66  21.7G 13LY35    F51  C~2jhD      
2011 06  07.42975  15 51 06.242  -27 26 03.46  22.2w 13LY35    F51  C~1w3u      
2011 06  08.36129  15 51 01.555  -27 25 45.93  22.3G 13LY35    F51  C~2jhD      
2011 07  20.25261  15 48 20.188  -27 12 40.56  22.1G 13LY35    F51  C~2jhD      
2012 05  12.45151  15 59 29.174  -27 42 28.05  22.0G 13LY35    F51  C~2jhD      
2012 05  12.46133  15 59 29.109  -27 42 28.37  21.8G 13LY35    F51  C~2jhD      
2012 06  12.35042  15 56 47.758  -27 34 04.52  22.2w 13LY35    F51  C~1w3u      
2012 06  12.36437  15 56 47.675  -27 34 04.03  22.0w 13LY35    F51  C~1w3u      
2012 06  12.37840  15 56 47.621  -27 34 03.85  22.1w 13LY35    F51  C~1w3u      
2012 06  12.39240  15 56 47.525  -27 34 03.55  22.2w 13LY35    F51  C~1w3u      
2013 04  16.53412  16 07 44.980  -27 54 38.68  22.1w 13LY35    F51  C~1w3u      
2013 06  12.38336  16 03 00.322  -27 42 55.67  21.9w 13LY35    F51  C~1w3u      
2013 06  12.40505  16 03 00.202  -27 42 55.15  22.3w 13LY35    F51  C~1w3u      
2013 06  30.33578  16 01 37.967  -27 37 31.44  22.2w 13LY35    F51  C~1w3u      
2013 06  30.33655  16 01 37.967  -27 37 31.05  14.2w 13LY35    F51  C~1w3u      
2013 06  30.34964  16 01 37.916  -27 37 30.97  22.4w 13LY35    F51  C~1w3u      
2013 06  30.35041  16 01 37.911  -27 37 31.04  21.8w 13LY35    F51  C~1w3u      
2013 06  30.36355  16 01 37.855  -27 37 30.64  22.6w 13LY35    F51  C~1w3u      
2013 06  30.36432  16 01 37.846  -27 37 30.60  22.3w 13LY35    F51  C~1w3u      
2014 04  04.59581  16 14 40.001  -28 02 01.73  21.7G 13LY35    F51  C~2jhD      
2014 06  04.37206  16 09 56.803  -27 52 57.28  21.9G 13LY35    F51  C~2jhD      
2015 05  15.47666  16 18 00.820  -28 04 01.39  22.2G 13LY35    F51  C~2jhD      
2015 05  18.48650  16 17 44.930  -28 03 26.87  22.4G 13LY35    F51  C~2jhD      
2015 05  18.49760  16 17 44.872  -28 03 26.85  22.4G 13LY35    F51  C~2jhD      
2015 05  18.50882  16 17 44.810  -28 03 26.58  22.4G 13LY35    F51  C~2jhD      

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     0.05       0.00     0.11
  2   0.9993   4945.31    -0.06     432.99    -0.08
  3   0.9993   4944.31    -0.05     433.15     0.01
  4   0.9994   4943.25    -0.09     433.15    -0.03
  5   0.9994   4942.27    -0.07     433.15    -0.09
  6   1.0020   4877.54    -0.24     437.12     0.01
  7   1.1166   2608.14     0.32     744.99    -0.12
  8   1.9303  11701.91     0.17     824.13    -0.15
  9   1.9304  11701.13     0.09     823.65    -0.62
 10   2.0149   9493.95     0.15     895.31     0.03
 11   2.0150   9492.77    -0.07     895.57     0.23
 12   2.0150   9492.02     0.16     895.60     0.20
 13   2.0150   9490.71    -0.19     895.64     0.17
 14   2.8587  18336.84    -0.33    1332.25     0.13
 15   3.0143  14470.90     0.05    1333.32     0.01
 16   3.0144  14469.23    -0.10    1333.53     0.12
 17   3.0635  13330.18    -0.01    1445.36    -0.19
 18   3.0635  13330.10    -0.04    1445.74     0.19
 19   3.0635  13329.42     0.04    1445.69     0.04
 20   3.0635  13329.37     0.04    1445.61    -0.04
 21   3.0636  13328.56    -0.01    1445.86     0.11
 22   3.0636  13328.43    -0.09    1445.88     0.12
 23   3.8253  23887.97     0.36    1839.28     0.12
 24   3.9917  20054.42     0.05    1741.17    -0.03
 25   4.9366  26571.07     0.17    2151.46    -0.05
 26   4.9448  26354.41    -0.12    2152.33    -0.05
 27   4.9448  26353.64    -0.08    2152.23    -0.15
 28   4.9449  26352.77    -0.12    2152.37    -0.02

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.

13LY35    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        42.412    42.428    42.396
ecceobj         0.056     0.057     0.056
incobj          8.723     8.723     8.723
qmin           39.252    39.345    39.290
qmax           46.267    46.374    46.384
amean          42.720    42.735    42.704
amin           42.380    42.405    42.375
amax           43.075    43.095    43.064
emean           0.059     0.059     0.059
emin            0.043     0.043     0.042
emax            0.076     0.077     0.077
imean          10.331    10.331    10.328
imin            9.556     9.560     9.554
imax           11.086    11.078    11.093
excite_mean     0.189     0.189     0.189
fracstop        1.000     1.000     1.000
cjmean          3.044     3.044     3.044

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       175.5     175.2     175.0
kozaiamp        180.0     180.0     180.0