Orbit Fit and Astrometric record for 16SA59

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: 16SA59    
# Created Tue Apr  1 01:10:59 2025
# Orbit generated from Bernstein formalism
# Fitting     19 observations of     19
# Arc:   4.28y
# First observation: 2014/08/19
#  Last observation: 2018/12/01
Preliminary a, adot, b, bdot, g, gdot:
   0.000290   0.031610  -0.000114  -0.009271   0.025153   0.000000
# Chi-squared of fit:     5.60 DOF:     32 RMS:  0.10
# Min/Max residuals:    -0.27    0.16
# Exact a, adot, b, bdot, g, gdot:
  2.050801E-05  3.178557E-02 -5.625352E-06 -9.359628E-03  2.509334E-02  6.168079E-03
# Covariance matrix:
  5.1483E-13 -2.5931E-13 -3.5512E-14  7.8544E-14  1.4770E-13 -1.8111E-12
 -2.5931E-13  4.0396E-13  9.3291E-14 -1.4145E-13  1.2126E-13  3.5096E-12
 -3.5512E-14  9.3291E-14  2.9514E-13 -1.3399E-13  4.0290E-14  9.1411E-13
  7.8544E-14 -1.4145E-13 -1.3399E-13  1.0668E-13 -3.1698E-14 -1.4163E-12
  1.4770E-13  1.2126E-13  4.0290E-14 -3.1698E-14  2.8307E-13  9.5030E-13
 -1.8111E-12  3.5096E-12  9.1411E-13 -1.4163E-12  9.5030E-13  3.4972E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.920078   34.576768    0.943796   -0.089564   -0.361921  2456888.891088
# Heliocentric elements and errors
Epoch:              2456880.5000  =  2014/08/11
Mean Anomaly:            0.94821 +/-     0.002
Argument of Peri:      200.46890 +/-     0.019
Long of Asc Node:      174.76520 +/-     0.001
Inclination:            21.54569 +/-     0.000
Eccentricity:         0.84119645 +/-    0.0002
Semi-Major Axis:    246.31106952 +/-    0.2812
Time of Perihelion: 2453161.4824 +/-       3.2
Perihelion:          39.11507209 +/-    0.0642
Aphelion:           453.50706696 +/-    0.5199
Period (y)             3865.7530 +/-      6.62
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.68837794 +/-    0.0007
Ecliptic Y           21.38842011 +/-    0.0005
Ecliptic Z           -9.58716053 +/-    0.0002
Ecliptic XDOT        -0.00163746 +/-    0.0000
Ecliptic YDOT         0.00308245 +/-    0.0000
Ecliptic ZDOT        -0.00115299 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.22322978 +/-    0.0006
Geocenter to KBO     39.85120929 +/-    0.0008
# Hcoef:  7.72

The following table shows the complete astrometric record for 16SA59. 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 (16SA59) followed by the observatory code and reference code for the source of the astrometry.

2014 08  19.39031  02 27 47.388  -00 05 30.86  23.3i 16SA59    W84  C~52Zn      
2014 10  01.36230  02 26 13.671  -00 29 18.80  23.6r 16SA59    W84  C~52Zn      
2014 10  01.36365  02 26 13.686  -00 29 18.86  23.6i 16SA59    W84  C~52Zn      
2015 01  16.07238  02 20 28.067  -00 52 45.19  22.9z 16SA59    W84  C~52Zn      
2015 12  14.16156  02 28 53.770  -00 51 17.14  23.5i 16SA59    W84  C~52Zn      
2015 12  14.16292  02 28 53.781  -00 51 17.07  24.0r 16SA59    W84  C~52Zn      
2015 12  14.16430  02 28 53.767  -00 51 17.23  24.0g 16SA59    W84  C~52Zn      
2016 09  27.47838  02 41 35.55   -00 16 25.4   24.5g 16SA59    568  C~59q2      
2016 09  27.53877  02 41 35.35   -00 16 27.5   24.5g 16SA59    568  C~59q2      
2016 09  28.48764  02 41 32.23   -00 17 00.2   24.6g 16SA59    568  C~2eAJ      
2016 09  28.62065  02 41 31.78   -00 17 04.8   24.7g 16SA59    568  C~2eAJ      
2016 09  29.49961  02 41 28.84   -00 17 35.1   24.6g 16SA59    568  C~2eAJ      
2016 10  27.22094  02 39 37.991  -00 32 24.37  23.5r 16SA59    W84  C~52Zn      
2016 12  05.18660  02 36 52.875  -00 44 55.82  23.6i 16SA59    W84  C~52Zn      
2017 10  29.28689  02 46 57.852  -00 27 45.26  23.7r 16SA59    W84  C~52Zn      
2017 11  01.19519  02 46 44.985  -00 29 03.94  22.9z 16SA59    W84  C~52Zn      
2017 11  10.22175  02 46 04.716  -00 32 45.56  23.8r 16SA59    W84  C~52Zn      
2018 11  29.20945  02 52 05.744  -00 32 45.21  24.3r 16SA59    W84  C~52Zn      
2018 12  01.07616  02 51 58.227  -00 33 07.33  24.4g 16SA59    W84  C~52Zn      

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    -0.10       0.00    -0.06
     2   0.1177  -1795.92    -0.12    -888.83     0.10
     3   0.1177  -1795.73     0.16    -888.96    -0.01
     4   0.4098  -7157.21     0.05    -520.74    -0.03
     5   1.3190     41.28    -0.10   -2921.11    -0.06
     6   1.3190     41.46     0.14   -2921.10    -0.06
     7   1.3190     41.21    -0.05   -2921.18    -0.16
     8   2.1084  11536.45     0.08   -4693.59     0.13
     9   2.1086  11532.92     0.10   -4694.59     0.10
    10   2.1111  11477.81     0.02   -4710.14     0.12
    11   2.1115  11469.90     0.05   -4712.28     0.08
    12   2.1139  11418.14    -0.04   -4726.45     0.04
    13   2.1898   9550.67    -0.27   -5021.08    -0.06
    14   2.2965   6959.62    -0.01   -4917.82    -0.01
    15   3.1948  15904.16     0.01   -6931.44     0.12
    16   3.2028  15694.71     0.10   -6942.27    -0.02
    17   3.2275  15047.50     0.10   -6952.80    -0.15
    18   4.2788  20207.44    -0.09   -8746.16    -0.06
    19   4.2839  20092.45    -0.04   -8729.72    -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.

16SA59    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       262.009   263.051   260.971
ecceobj         0.851     0.851     0.850
incobj         21.487    21.487    21.487
qmin           36.291    36.439    36.835
qmax          494.173   492.131   482.840
amean         246.329   246.716   242.608
amin          233.767   235.872   230.056
amax          266.500   265.565   260.970
emean           0.842     0.842     0.839
emin            0.831     0.831     0.827
emax            0.855     0.854     0.850
imean          20.405    20.548    20.923
imin           19.585    19.656    20.219
imax           21.484    21.522    21.540
excite_mean     0.912     0.912     0.912
fracstop        1.000     1.000     1.000
cjmean          3.012     3.012     3.012

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       220.0     216.6     210.2
kozaiamp         19.3      17.7      13.1