Orbit Fit and Astrometric record for 13RO158

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: 13RO158   
# Created Sat Nov 27 02:12:00 2021
# Orbit generated from Bernstein formalism
# Fitting     14 observations of     15
# Arc:   4.16y
# First observation: 2013/09/13
#  Last observation: 2017/11/09
Preliminary a, adot, b, bdot, g, gdot:
   0.000167   0.027756   0.000011  -0.008408   0.027738   0.000000
# Chi-squared of fit:     5.45 DOF:     22 RMS:  0.11
# Min/Max residuals:    -0.20    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.249109E-05  2.788057E-02 -5.496705E-06 -8.471428E-03  2.741174E-02  3.685611E-05
# Covariance matrix:
  4.7665E-13  7.6495E-14  1.6630E-14 -1.6586E-14  7.9775E-13  6.9807E-13
  7.6495E-14  6.7884E-13  5.5323E-14 -2.0825E-13  7.7373E-13  7.0081E-12
  1.6630E-14  5.5323E-14  2.0390E-13 -8.5500E-14  7.8031E-14  6.0114E-13
 -1.6586E-14 -2.0825E-13 -8.5500E-14  1.2209E-13 -1.7702E-13 -2.4335E-12
  7.9775E-13  7.7373E-13  7.8031E-14 -1.7702E-13  2.5248E-12  6.3119E-12
  6.9807E-13  7.0081E-12  6.0114E-13 -2.4335E-12  6.3119E-12  8.1372E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    7.050114  -12.496324   -0.014765    0.123740   -0.999778  2456546.743197
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:            0.50595 +/-     0.232
Argument of Peri:      156.90620 +/-     0.268
Long of Asc Node:      188.99150 +/-     0.001
Inclination:            18.20441 +/-     0.000
Eccentricity:         0.07091863 +/-    0.0002
Semi-Major Axis:     40.34065980 +/-    0.0090
Time of Perihelion: 2456408.9732 +/-      60.4
Perihelion:          37.47975559 +/-    0.0105
Aphelion:            43.20156401 +/-    0.0115
Period (y)              256.2257 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.33375853 +/-    0.0020
Ecliptic Y           -8.03456152 +/-    0.0005
Ecliptic Z            4.47733393 +/-    0.0003
Ecliptic XDOT         0.00070132 +/-    0.0000
Ecliptic YDOT         0.00269428 +/-    0.0000
Ecliptic ZDOT        -0.00083913 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.47989737 +/-    0.0020
Geocenter to KBO     36.48072113 +/-    0.0021
# Hcoef:  7.33

The following table shows the complete astrometric record for 13RO158. 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 (13RO158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.242419 23 03 03.11   +01 33 29.1   23.6g 13RO158   W84  C~55Nc      
2013 09  13.188414 23 02 53.68   +01 32 18.1   23.1i 13RO158   W84  C~55Nc      
2013 09  13.189792 23 02 53.68   +01 32 18.0   22.5z 13RO158   W84  C~55Nc      
2013 09  29.18116  23 01 39.298  +01 22 23.36  22.6r 13RO158   W84  C~55Nc      
2013 09  29.189225 23 01 39.24   +01 22 23.2   22.9i 13RO158   W84  C~55Nc      
2013 10  12.062037 23 00 46.33   +01 14 30.1   22.6i 13RO158   W84  C~55Nc      
2013 10  12.063414 23 00 46.32   +01 14 30.0   22.6z 13RO158   W84  C~55Nc      
2013 10  28.020289 22 59 54.97   +01 05 32.5   23.3r 13RO158   W84  C~55Nc      
2014 10  29.12834  23 06 27.072  +01 15 21.65  21.5Y 13RO158   W84  C~55Nc      
2015 11  08.03743  23 12 37.982  +01 20 48.71  23.5r 13RO158   W84  C~55Nc      
2015 11  08.03880  23 12 37.972  +01 20 48.67  24.5g 13RO158   W84  C~55Nc      
2016 10  05.135602 23 21 03.69   +01 49 11.7   23.1r 13RO158   W84  C~55Nc      
2016 10  05.136979 23 21 03.68   +01 49 11.5   22.7i 13RO158   W84  C~55Nc      
2016 11  05.036273 23 19 16.11   +01 31 53.1   22.5z 13RO158   W84  C~55Nc      
2017 11  09.03234  23 25 40.987  +01 40 05.97  23.4r 13RO158   W84  C~55Nc      

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 (   0.74)      0.00 (   0.13)
     2   0.0053   -157.87     0.02     -10.49     0.09
     3   0.0053   -157.91     0.09     -10.58     0.00
     4   0.0491  -1416.72     0.08    -125.08    -0.20
     5   0.0491  -1417.58    -0.16    -124.89     0.06
     6   0.0844  -2332.60     0.02    -252.41    -0.03
     7   0.0844  -2332.78    -0.07    -252.44    -0.05
     8   0.1281  -3251.43     0.00    -448.31     0.01
     9   1.1304   2396.40    -0.07   -2189.98     0.15
    10   2.1569   7654.46     0.16   -4047.85    -0.03
    11   2.1569   7654.30     0.06   -4047.83     0.01
    12   3.0661  15332.96     0.04   -5419.66    -0.05
    13   3.0661  15332.75    -0.07   -5419.78    -0.17
    14   3.1507  13434.29    -0.15   -5753.28     0.33
    15   4.1610  18987.05     0.04   -7542.64    -0.11

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.

13RO158    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.529    40.555    40.502
ecceobj         0.076     0.076     0.075
incobj         18.165    18.166    18.165
qmin           36.604    36.696    36.392
qmax           44.370    44.512    44.672
amean          40.421    40.460    40.419
amin           40.093    40.148    40.063
amax           40.781    40.790    40.768
emean           0.074     0.075     0.078
emin            0.059     0.061     0.063
emax            0.089     0.092     0.097
imean          18.713    18.719    18.743
imin           17.898    17.944    17.890
imax           19.497    19.480    19.486
excite_mean     0.329     0.330     0.331
fracstop        1.000     1.000     1.000
cjmean          2.933     2.933     2.932

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       179.7     181.6     180.0
kozaiamp        180.0     179.9     180.0