Orbit Fit and Astrometric record for 16FR59

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: 16FR59    
# Created Fri Oct 20 01:38:45 2017
# Orbit generated from Bernstein formalism
# Fitting   26 observations of   30
# Arc:   3.12y
# First observation: 2013/02/15
#  Last observation: 2016/04/01
Preliminary a, adot, b, bdot, g, gdot:
  -0.000108   0.028903   0.000019  -0.003368   0.027863   0.000000
# Chi-squared of fit:    22.19 DOF:   46 RMS:  0.16
# Min/Max residuals:    -0.58    0.41
# Exact a, adot, b, bdot, g, gdot:
  1.623573E-05  2.893855E-02 -1.972724E-06 -3.361854E-03  2.810244E-02  1.350599E-03
# Covariance matrix:
  4.6334E-13 -4.7738E-13 -2.5744E-14  4.6993E-14 -1.1867E-13 -4.3238E-12
 -4.7738E-13  9.0472E-13  5.8956E-14 -1.1134E-13  4.2889E-13  1.0321E-11
 -2.5744E-14  5.8956E-14  3.1245E-13 -1.4246E-13  2.4292E-14  7.3839E-13
  4.6993E-14 -1.1134E-13 -1.4246E-13  8.6890E-14 -5.2603E-14 -1.3859E-12
 -1.1867E-13  4.2889E-13  2.4292E-14 -5.2603E-14  4.6039E-13  5.0100E-12
 -4.3238E-12  1.0321E-11  7.3839E-13 -1.3859E-12  5.0100E-12  1.2830E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.951637  170.260589    0.390983   -0.125370   -0.897950  2456338.990918
# Heliocentric elements and errors
Epoch:              2456330.5000  =  2013/02/07
Mean Anomaly:           94.52445 +/-     0.160
Argument of Peri:      130.58150 +/-     0.151
Long of Asc Node:      300.66623 +/-     0.002
Inclination:            10.23224 +/-     0.000
Eccentricity:         0.03765793 +/-    0.0004
Semi-Major Axis:     36.32409405 +/-    0.0029
Time of Perihelion: 2435334.7071 +/-      35.5
Perihelion:          34.95620387 +/-    0.0140
Aphelion:            37.69198422 +/-    0.0140
Period (y)              218.9275 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -35.56057337 +/-    0.0008
Ecliptic Y            6.50245045 +/-    0.0001
Ecliptic Z           -4.92268013 +/-    0.0001
Ecliptic XDOT        -0.00056694 +/-    0.0000
Ecliptic YDOT        -0.00276341 +/-    0.0000
Ecliptic ZDOT        -0.00034244 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.48381861 +/-    0.0008
Geocenter to KBO     35.58410241 +/-    0.0009
# Hcoef:  6.62

The following table shows the complete astrometric record for 16FR59. 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 (16FR59) followed by the observatory code and reference code for the source of the astrometry.

2013 02  15.49014  11 11 42.964  -03 27 20.76  22.5w 16FR59    F51  C~1va8      
2013 02  15.50382  11 11 42.897  -03 27 20.57  22.4w 16FR59    F51  C~1va8      
2013 02  15.51749  11 11 42.822  -03 27 20.11  22.5w 16FR59    F51  C~1va8      
2014 04  28.30486  11 12 00.376  -03 40 49.67  22.0w 16FR59    F51  C~1va8      
2014 04  28.31717  11 12 00.349  -03 40 49.71  22.4w 16FR59    F51  C~1va8      
2014 04  28.32944  11 12 00.302  -03 40 49.26  22.3w 16FR59    F51  C~1va8      
2014 04  28.34173  11 12 00.260  -03 40 48.84  22.1w 16FR59    F51  C~1va8      
2015 01  23.49801  11 24 55.133  -05 11 47.84  22.3w 16FR59    F51  C~1va8      
2015 01  23.50946  11 24 55.088  -05 11 47.76  22.3w 16FR59    F51  C~1va8      
2015 01  23.52092  11 24 55.056  -05 11 47.73  22.2w 16FR59    F51  C~1va8      
2015 01  23.53240  11 24 55.013  -05 11 47.64  22.2w 16FR59    F51  C~1va8      
2015 02  24.44330  11 22 39.357  -05 02 58.25  22.3w 16FR59    F51  C~1va8      
2015 02  24.45755  11 22 39.275  -05 02 57.90  22.4w 16FR59    F51  C~1va8      
2015 02  24.47182  11 22 39.209  -05 02 57.56  22.3w 16FR59    F51  C~1va8      
2015 02  24.48612  11 22 39.121  -05 02 57.47  22.0w 16FR59    F51  C~1va8      
2015 02  25.46399  11 22 34.213  -05 02 32.36  22.5w 16FR59    F51  C~1va8      
2015 02  25.47793  11 22 34.146  -05 02 32.01  22.5w 16FR59    F51  C~1va8      
2015 02  25.50579  11 22 33.994  -05 02 31.19  22.3w 16FR59    F51  C~1va8      
2015 03  23.42475  11 20 20.102  -04 49 30.53  22.1w 16FR59    F51  C~1va8      
2015 03  23.43867  11 20 20.022  -04 49 30.05  22.2w 16FR59    F51  C~1va8      
2015 03  23.45254  11 20 19.959  -04 49 29.59  22.2w 16FR59    F51  C~1va8      
2016 03  29.03467  11 25 38.25   -05 35 18.7   23.2V 16FR59    W84  C~1qoK      
2016 03  29.04161  11 25 38.25   -05 35 18.6         16FR59    W84  C~1qoK      
2016 03  29.04855  11 25 38.24   -05 35 18.7         16FR59    W84  C~1qoK      
2016 03  30.06080  11 25 33.17   -05 34 44.0         16FR59    W84  C~1qoK      
2016 03  30.06774  11 25 33.18   -05 34 43.9         16FR59    W84  C~1qoK      
2016 03  30.07468  11 25 33.18   -05 34 44.0         16FR59    W84  C~1qoK      
2016 04  01.06533  11 25 23.45   -05 33 36.2         16FR59    W84  C~1qoK      
2016 04  01.07227  11 25 23.46   -05 33 36.5         16FR59    W84  C~1qoK      
2016 04  01.07921  11 25 23.45   -05 33 36.6         16FR59    W84  C~1qoK      

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     0.01       0.00     0.02
  2   0.0000     -1.00     0.07      -0.22    -0.09
  3   0.0001     -2.21    -0.09      -0.24     0.00
  4   1.1959    557.41    -0.10    -641.55     0.25
  5   1.1960    557.05     0.19    -641.75    -0.04
  6   1.1960    556.23     0.02    -641.61     0.01
  7   1.1960    555.49    -0.08    -641.47     0.05
  8   1.9357  13374.11     0.02   -1138.66     0.20
  9   1.9357  13373.45    -0.09   -1138.85     0.16
 10   1.9357  13373.00     0.01   -1139.01     0.16
 11   1.9358  13372.37    -0.07   -1139.18     0.14
 12   2.0231  11291.98     0.06   -1440.33     0.01
 13   2.0232  11290.72    -0.06   -1440.49    -0.05
 14   2.0232  11289.67     0.04   -1440.56    -0.03
 15   2.0233  11288.42    -0.06   -1440.99    -0.37
 16   2.0259  11210.87     0.08   -1446.42    -0.21
 17   2.0260  11209.81     0.14   -1446.49    -0.19
 18   2.0261  11207.39    -0.02   -1446.61    -0.14
 19   2.0970   9055.19     0.02   -1507.60     0.01
 20   2.0971   9053.90    -0.10   -1507.62    -0.02
 21   2.0971   9052.85     0.01   -1507.56     0.03
 22   3.1144  14521.15     0.41   -2191.26     0.09
 23   3.1144  14521.11 (   0.94)  -2191.17 (   0.16)
 24   3.1145  14521.01 (   1.41)  -2191.32 (  -0.00)
 25   3.1172  14437.37    -0.37   -2188.70    -0.05
 26   3.1173  14437.47     0.30   -2188.55     0.08
 27   3.1173  14437.51 (   0.90)  -2188.64 (  -0.02)
 28   3.1227  14276.53    -0.58   -2182.51     0.12
 29   3.1227  14276.78     0.24   -2182.73    -0.12
 30   3.1228  14276.69 (   0.70)  -2182.88 (  -0.29)

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.

16FR59    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        36.228    36.238    36.219
ecceobj         0.038     0.039     0.038
incobj         10.242    10.242    10.242
qmin           31.065    31.014    32.182
qmax           42.514    42.633    41.593
amean          36.402    36.534    36.348
amin           35.975    35.950    35.989
amax           37.014    37.041    37.007
emean           0.064     0.072     0.030
emin            0.001     0.011     0.000
emax            0.150     0.153     0.124
imean          11.728    11.341    11.985
imin            9.506     9.391     9.563
imax           13.417    13.431    13.393
excite_mean     0.216     0.212     0.211
fracstop        1.000     1.000     1.000
cjmean          2.975     2.977     2.977

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       184.6     189.1     196.1
kozaiamp        180.0     180.0     180.0