Orbit Fit and Astrometric record for 13RS156

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: 13RS156   
# Created Wed Dec  8 02:11:56 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     18 observations of     18
# Arc:   5.21y
# First observation: 2013/09/09
#  Last observation: 2018/11/26
# Chi-squared of fit:     6.49 DOF:     30 RMS:  0.11
# Min/Max residuals:    -0.32    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.886727E-05  2.916781E-02 -5.528959E-06 -7.436675E-03  2.615834E-02  5.284325E-03
# Covariance matrix:
  4.7350E-13 -1.4247E-13 -1.0153E-14  1.8326E-14  1.9701E-13 -5.0189E-13
 -1.4247E-13  2.6756E-13  3.4662E-14 -6.8291E-14  1.3649E-13  1.8600E-12
 -1.0153E-14  3.4662E-14  3.3291E-13 -8.7508E-14  1.7832E-14  2.6563E-13
  1.8326E-14 -6.8291E-14 -8.7508E-14  4.4027E-14 -3.8183E-14 -5.2327E-13
  1.9701E-13  1.3649E-13  1.7832E-14 -3.8183E-14  5.0138E-13  1.0349E-12
 -5.0189E-13  1.8600E-12  2.6563E-13 -5.2327E-13  1.0349E-12  1.4252E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.613715    0.701614    0.249800   -0.010375   -0.976635  2456544.696998
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:           14.72475 +/-     0.008
Argument of Peri:      147.61654 +/-     0.020
Long of Asc Node:      177.99329 +/-     0.000
Inclination:            14.31043 +/-     0.000
Eccentricity:         0.38600479 +/-    0.0001
Semi-Major Axis:     60.67201121 +/-    0.0121
Time of Perihelion: 2449484.1484 +/-       4.5
Perihelion:          37.25232406 +/-    0.0109
Aphelion:            84.09169836 +/-    0.0185
Period (y)              472.5968 +/-      0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.20304764 +/-    0.0010
Ecliptic Y            0.23346227 +/-    0.0000
Ecliptic Z           -0.40969487 +/-    0.0000
Ecliptic XDOT         0.00050111 +/-    0.0000
Ecliptic YDOT         0.00305813 +/-    0.0000
Ecliptic ZDOT        -0.00078410 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.20576742 +/-    0.0010
Geocenter to KBO     38.22864140 +/-    0.0010
# Hcoef:  7.38

The following table shows the complete astrometric record for 13RS156. 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 (13RS156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.19622  00 03 33.079  -00 17 02.40  23.6g 13RS156   W84  C~52RN      
2013 09  11.29851  00 03 23.884  -00 18 12.58  23.5g 13RS156   W84  C~52RN      
2013 11  22.06122  23 58 57.608  -00 51 57.69  23.5r 13RS156   W84  C~52RN      
2013 11  22.08831  23 58 57.565  -00 51 58.15  22.8i 13RS156   W84  C~52RN      
2015 11  02.09653  00 13 14.280  -00 12 41.34  23.2r 13RS156   W84  C~52RN      
2016 09  10.32821  00 23 32.033  +00 30 32.58  23.0i 13RS156   W84  C~52RN      
2016 09  10.32957  00 23 32.040  +00 30 32.67  23.5r 13RS156   W84  C~52RN      
2016 11  30.10650  00 18 37.124  -00 05 30.95  23.4i 13RS156   W84  C~52RN      
2016 11  30.10788  00 18 37.128  -00 05 31.06  23.0r 13RS156   W84  C~52RN      
2017 09  27.21025  00 28 52.306  +00 37 05.69  23.5r 13RS156   W84  C~52RN      
2017 09  27.21161  00 28 52.299  +00 37 05.70  22.7i 13RS156   W84  C~52RN      
2017 09  27.21299  00 28 52.288  +00 37 05.71  23.9g 13RS156   W84  C~52RN      
2017 10  22.18847  00 27 03.062  +00 23 51.23  24.0g 13RS156   W84  C~52RN      
2018 09  09.22996  00 36 39.142  +01 02 36.24  23.6z 13RS156   W84  C~52RN      
2018 10  10.25683  00 34 24.225  +00 45 43.39  23.2r 13RS156   W84  C~52RN      
2018 10  10.25820  00 34 24.230  +00 45 43.42  23.1i 13RS156   W84  C~52RN      
2018 10  18.18917  00 33 49.693  +00 41 36.16  22.9z 13RS156   W84  C~52RN      
2018 11  26.07111  00 31 39.217  +00 26 39.84  24.4g 13RS156   W84  C~52RN      

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    -0.32       0.00     0.09
     2   0.0058      0.00     0.20       0.00    -0.03
     3   0.2022      0.00    -0.00       0.00     0.04
     4   0.2023      0.00     0.06       0.00    -0.04
     5   2.1462      0.00     0.21       0.00    -0.01
     6   3.0038      0.00    -0.13       0.00     0.01
     7   3.0038      0.00     0.06       0.00     0.14
     8   3.2249      0.00    -0.07       0.00    -0.07
     9   3.2249      0.00     0.02       0.00    -0.17
    10   4.0493      0.00     0.07       0.00    -0.05
    11   4.0493      0.00     0.06       0.00     0.00
    12   4.0493      0.00    -0.01       0.00     0.06
    13   4.1177      0.00    -0.07       0.00    -0.13
    14   4.9994      0.00    -0.08       0.00     0.11
    15   5.0844      0.00    -0.07       0.00     0.01
    16   5.0844      0.00     0.10       0.00     0.08
    17   5.1061      0.00     0.16       0.00    -0.03
    18   5.2125      0.00    -0.09       0.00     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.

13RS156    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        61.225    61.225    61.225
ecceobj         0.392     0.392     0.392
incobj         14.276    14.276    14.276
qmin           36.422    36.366    36.322
qmax           86.342    86.217    86.176
amean          60.715    60.649    60.626
amin           60.010    59.875    59.890
amax           61.672    61.621    61.597
emean           0.386     0.386     0.386
emin            0.373     0.371     0.372
emax            0.400     0.399     0.400
imean          14.081    14.043    14.000
imin           13.496    13.499    13.478
imax           14.783    14.652    14.607
excite_mean     0.456     0.456     0.456
fracstop        1.000     1.000     1.000
cjmean          3.037     3.037     3.037

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       178.2     179.7     179.1
kozaiamp        180.0     179.9     180.0