Orbit Fit and Astrometric record for 13PU74

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: 13PU74    
# Created Sun Oct 22 01:38:18 2017
# Orbit generated from Bernstein formalism
# Fitting   40 observations of   43
# Arc:   6.14y
# First observation: 2011/07/25
#  Last observation: 2017/09/15
Preliminary a, adot, b, bdot, g, gdot:
  -0.037051   0.146516   0.008774  -0.032993   0.063661   0.000000
# WARNING -- MRQMIN stopped after  29 iterations
# Chi-squared of fit:    21.38 DOF:   74 RMS:  0.13
# Min/Max residuals:    -0.26    0.35
# Exact a, adot, b, bdot, g, gdot:
  2.890763E-05  1.190806E-01 -5.887613E-06 -2.658883E-02  6.479929E-02 -1.970601E-02
# Covariance matrix:
  2.7700E-13 -1.3525E-13 -2.8841E-14  2.2014E-14  2.5536E-14 -1.0911E-13
 -1.3525E-13  8.5840E-14  2.2033E-14 -1.6780E-14 -4.6911E-15  8.2597E-14
 -2.8841E-14  2.2033E-14  1.6099E-13 -4.7969E-14 -2.8954E-15  2.5711E-14
  2.2014E-14 -1.6780E-14 -4.7969E-14  1.8681E-14  2.5779E-15 -1.9614E-14
  2.5536E-14 -4.6911E-15 -2.8954E-15  2.5779E-15  1.4679E-13 -1.8328E-14
 -1.0911E-13  8.2597E-14  2.5711E-14 -1.9614E-14 -1.8328E-14  9.7043E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.728271  -52.941588    0.092892    0.030402   -1.009532  2455767.939216
# Heliocentric elements and errors
Epoch:              2455760.5000  =  2011/07/18
Mean Anomaly:          352.74551 +/-     0.001
Argument of Peri:      200.10999 +/-     0.001
Long of Asc Node:      133.96338 +/-     0.000
Inclination:            12.70301 +/-     0.000
Eccentricity:         0.53558907 +/-    0.0000
Semi-Major Axis:     34.01234619 +/-    0.0021
Time of Perihelion: 2457220.5162 +/-       0.1
Perihelion:          15.79570540 +/-    0.0013
Aphelion:            52.22898699 +/-    0.0033
Period (y)              198.3641 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            9.83438370 +/-    0.0001
Ecliptic Y          -13.17087610 +/-    0.0001
Ecliptic Z            0.46538607 +/-    0.0000
Ecliptic XDOT         0.00353116 +/-    0.0000
Ecliptic YDOT         0.00367469 +/-    0.0000
Ecliptic ZDOT        -0.00114796 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   16.44395524 +/-    0.0001
Geocenter to KBO     15.43226707 +/-    0.0001
# Hcoef: 10.26

The following table shows the complete astrometric record for 13PU74. 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 (13PU74) followed by the observatory code and reference code for the source of the astrometry.

2011 07  25.43845  20 36 00.109  -16 50 06.66  22.6w 13PU74    F51  C~1vX1      
2011 07  25.45367  20 35 59.952  -16 50 07.31  22.5w 13PU74    F51  C~1vX1      
2011 07  25.46888  20 35 59.785  -16 50 08.12  22.3w 13PU74    F51  C~1vX1      
2011 07  25.48406  20 35 59.611  -16 50 08.94  22.6w 13PU74    F51  C~1vX1      
2012 08  21.37765  21 00 56.593  -16 55 38.85  22.4w 13PU74    F51  C~1vX1      
2012 08  21.40564  21 00 56.320  -16 55 40.68  22.5w 13PU74    F51  C~1vX1      
2012 08  21.41947  21 00 56.183  -16 55 41.34  22.3w 13PU74    F51  C~1vX1      
2013 08  04.45257  21 34 22.560  -16 00 06.27  22.4w 13PU74    F51  C~1vX1      
2013 08  04.46647  21 34 22.417  -16 00 07.23  22.1w 13PU74    F51  C~1vX1      
2013 08  04.48038  21 34 22.279  -16 00 08.20  22.1w 13PU74    F51  C~1vX1      
2013 08  29.35702  21 30 08.094  -16 27 23.72  22.3w 13PU74    F51  C~1vX1      
2013 08  29.37085  21 30 07.948  -16 27 24.69  22.4w 13PU74    F51  C~1vX1      
2013 08  29.38468  21 30 07.806  -16 27 25.67  22.5w 13PU74    F51  C~1vX1      
2013 08  29.39848  21 30 07.673  -16 27 26.24  22.3w 13PU74    F51  C~1vX1      
2014 06  28.50893  22 09 34.975  -14 26 06.65  22.6w 13PU74    F51  C~1vX1      
2014 06  28.52102  22 09 34.914  -14 26 06.83  22.5w 13PU74    F51  C~1vX1      
2014 06  28.53312  22 09 34.897  -14 26 07.61  22.6w 13PU74    F51  C~1vX1      
2014 06  28.54517  22 09 34.835  -14 26 08.22  22.3w 13PU74    F51  C~1vX1      
2014 07  25.52182  22 06 45.037  -14 52 39.97  22.5w 13PU74    F51  C~1vX1      
2014 07  25.53393  22 06 44.933  -14 52 40.80  22.1w 13PU74    F51  C~1vX1      
2014 07  25.54604  22 06 44.823  -14 52 41.54  22.5w 13PU74    F51  C~1vX1      
2014 07  25.55815  22 06 44.715  -14 52 42.52  22.3w 13PU74    F51  C~1vX1      
2014 08  03.48436  22 05 24.755  -15 03 09.73  22.4w 13PU74    F51  C~1vX1      
2014 08  03.49780  22 05 24.635  -15 03 10.82  22.1w 13PU74    F51  C~1vX1      
2014 08  03.51124  22 05 24.488  -15 03 11.74  22.3w 13PU74    F51  C~1vX1      
2014 08  27.39206  22 01 24.930  -15 31 49.03  22.1w 13PU74    F51  C~1vX1      
2014 08  27.40566  22 01 24.776  -15 31 49.71  22.4w 13PU74    F51  C~1vX1      
2014 08  27.41931  22 01 24.645  -15 31 51.31  22.0w 13PU74    F51  C~1vX1      
2014 08  27.43291  22 01 24.507  -15 31 52.19  22.2w 13PU74    F51  C~1vX1      
2014 09  18.28728  21 57 56.904  -15 54 43.86  22.1w 13PU74    F51  C~1vX1      
2014 09  18.29885  21 57 56.803  -15 54 44.37  22.2w 13PU74    F51  C~1vX1      
2014 09  18.31051  21 57 56.698  -15 54 44.84  22.3w 13PU74    F51  C~1vX1      
2014 09  18.36880  21 57 56.194  -15 54 48.27  22.4w 13PU74    F51  C~1vX1      
2015 06  25.55986  22 39 33.080  -13 12 22.50  22.6w 13PU74    F51  C~1vX1      
2015 06  25.57098  22 39 33.087  -13 12 22.96  22.5w 13PU74    F51  C~1vX1      
2015 06  25.59333  22 39 33.012  -13 12 23.58  22.5w 13PU74    F51  C~1vX1      
2015 07  12.50746  22 38 40.345  -13 26 29.48  22.5w 13PU74    F51  C~1vX1      
2015 07  12.51862  22 38 40.299  -13 26 30.27  22.3w 13PU74    F51  C~1vX1      
2015 07  12.52977  22 38 40.247  -13 26 30.93  22.4w 13PU74    F51  C~1vX1      
2015 07  12.54091  22 38 40.184  -13 26 31.38  22.1w 13PU74    F51  C~1vX1      
2017 09  15.41703  23 29 35.110  -11 46 36.72  22.5w 13PU74    F51  C~2KWm      
2017 09  15.42822  23 29 35.019  -11 46 37.28  22.0w 13PU74    F51  C~2KWm      
2017 09  15.43932  23 29 34.882  -11 46 38.37  22.2w 13PU74    F51  C~2KWm      

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    -0.12
  2   0.0000     -2.35     0.15      -0.06     0.02
  3   0.0001     -4.87     0.08      -0.25     0.04
  4   0.0001     -7.49    -0.09      -0.42     0.08
  5   1.0758  20693.57    -0.05   -6049.34     0.13
  6   1.0759  20689.25     0.04   -6049.99    -0.10
  7   1.0759  20687.16     0.12   -6050.07     0.02
  8   2.0288  50146.00    -0.16  -11750.43     0.13
  9   2.0288  50143.60    -0.14  -11750.68     0.10
 10   2.0289  50141.28    -0.06  -11750.95     0.03
 11   2.0970  45930.02     0.00  -12123.10    -0.07
 12   2.0970  45927.61    -0.14  -12123.35    -0.15
 13   2.0970  45925.25    -0.23  -12123.62    -0.25
 14   2.0971  45923.15    -0.06  -12123.55    -0.01
 15   2.9270  84255.26    -0.16  -17452.10    -0.17
 16   2.9270  84254.21    -0.20  -17451.92     0.30
 17   2.9270  84253.63     0.21  -17452.61    -0.09
 18   2.9271  84252.40    -0.02  -17452.86    -0.05
 19   3.0009  80923.99     0.02  -18064.28     0.04
 20   3.0009  80922.02     0.03  -18064.51     0.03
 21   3.0010  80919.99    -0.01  -18064.62     0.15
 22   3.0010  80917.90    -0.12  -18064.97     0.01
 23   3.0255  79413.15     0.10  -18232.03    -0.05
 24   3.0255  79410.84     0.21  -18232.43    -0.24
 25   3.0255  79408.17    -0.05  -18232.50    -0.10
 26   3.0909  75011.83     0.16  -18581.89     0.12
 27   3.0909  75009.18 (   0.07) -18581.70 (   0.45)
 28   3.0910  75006.55    -0.00  -18582.56    -0.26
 29   3.0910  75004.08     0.08  -18582.65    -0.22
 30   3.1509  71293.65     0.04  -18783.87     0.04
 31   3.1509  71291.91     0.07  -18783.81     0.16
 32   3.1509  71290.13     0.08  -18783.70     0.35
 33   3.1511  71281.15    -0.00  -18784.30     0.08
 34   3.9182 116655.24    -0.17  -24442.62     0.22
 35   3.9182 116655.15     0.25  -24443.16     0.04
 36   3.9183 116653.50 (  -0.35) -24443.29 (   0.63)
 37   3.9646 115301.01    -0.12  -24967.62     0.07
 38   3.9646 115299.81     0.01  -24968.13    -0.15
 39   3.9647 115298.56     0.09  -24968.46    -0.18
 40   3.9647 115297.22     0.08  -24968.50     0.09
 41   6.1437 182251.27    -0.01  -44076.83    -0.04
 42   6.1437 182248.66 (   0.72) -44076.57 (   0.06)
 43   6.1437 182244.55    -0.06  -44076.47    -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.

13PU74    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        33.692    33.697    33.687
ecceobj         0.533     0.533     0.533
incobj         12.708    12.708    12.708
qmin           15.648    15.617    15.647
qmax           52.465    52.879    53.005
amean          33.869    33.914    33.791
amin           33.568    33.467    33.337
amax           34.219    34.354    34.487
emean           0.529     0.532     0.526
emin            0.523     0.525     0.511
emax            0.536     0.539     0.537
imean          11.990    11.791    12.708
imin           11.314    11.314    11.314
imax           12.889    12.719    14.471
excite_mean     0.569     0.570     0.570
fracstop        0.007     0.007     0.011
cjmean          2.651     2.649     2.650

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       214.5     213.9     222.5
kozaiamp         13.9      13.2      22.3