Orbit Fit and Astrometric record for 13RP156

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: 13RP156   
# Created Fri Dec  3 02:11:53 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     14 observations of     14
# Arc:   8.16y
# First observation: 2013/09/08
#  Last observation: 2021/11/05
# Chi-squared of fit:     6.27 DOF:     22 RMS:  0.12
# Min/Max residuals:    -0.25    0.20
# Exact a, adot, b, bdot, g, gdot:
  1.247041E-05  1.943353E-02  7.065960E-06  1.187635E-02  2.446202E-02  2.192649E-03
# Covariance matrix:
  6.4732E-13 -1.3667E-13  4.9894E-14 -1.0365E-13  8.0549E-13 -1.1030E-12
 -1.3667E-13  1.7363E-13 -5.5277E-14  1.1756E-13 -5.8344E-14  1.2206E-12
  4.9894E-14 -5.5277E-14  1.8420E-13 -6.5537E-14  4.2518E-14 -4.2159E-13
 -1.0365E-13  1.1756E-13 -6.5537E-14  9.6560E-14 -8.5774E-14  8.9497E-13
  8.0549E-13 -5.8344E-14  4.2518E-14 -8.5774E-14  1.4652E-12 -9.4124E-13
 -1.1030E-12  1.2206E-12 -4.2159E-13  8.9497E-13 -9.4124E-13  9.3104E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.878475    1.007067    0.271769    0.031917   -0.970590  2456543.685078
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          125.04652 +/-     0.106
Argument of Peri:      228.62393 +/-     0.087
Long of Asc Node:      357.64103 +/-     0.000
Inclination:            31.49475 +/-     0.000
Eccentricity:         0.11414185 +/-    0.0001
Semi-Major Axis:     38.98751774 +/-    0.0076
Time of Perihelion: 2425658.9088 +/-      27.8
Perihelion:          34.53741025 +/-    0.0076
Aphelion:            43.43762522 +/-    0.0092
Period (y)              243.4426 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.82686209 +/-    0.0020
Ecliptic Y            0.46642801 +/-    0.0000
Ecliptic Z            1.34030558 +/-    0.0001
Ecliptic XDOT         0.00015726 +/-    0.0000
Ecliptic YDOT         0.00217712 +/-    0.0000
Ecliptic ZDOT         0.00133670 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.85087752 +/-    0.0020
Geocenter to KBO     40.87967357 +/-    0.0020
# Hcoef:  7.27

The following table shows the complete astrometric record for 13RP156. 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 (13RP156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.18430  00 00 42.351  +02 07 26.39  24.0g 13RP156   W84  C~52RM      
2013 09  30.13263  23 58 57.921  +01 58 52.11  23.6r 13RP156   W84  C~52RM      
2013 09  30.13409  23 58 57.912  +01 58 51.98  23.6i 13RP156   W84  C~52RM      
2013 10  11.11811  23 58 06.711  +01 54 31.84  22.2z 13RP156   W84  C~52RM      
2013 10  12.12332  23 58 02.171  +01 54 08.43  23.6i 13RP156   W84  C~52RM      
2013 10  28.03531  23 56 55.690  +01 48 28.33  23.7r 13RP156   W84  C~52RM      
2013 11  08.12914  23 56 17.221  +01 45 15.48  23.2r 13RP156   W84  C~52RM      
2014 10  28.16115  23 59 55.391  +02 52 13.00  24.4g 13RP156   W84  C~52RM      
2014 10  29.16530  23 59 51.525  +02 51 52.64  22.9r 13RP156   W84  C~52RM      
2016 09  22.13137  00 08 33.249  +05 12 50.97  23.3r 13RP156   W84  C~52RM      
2016 09  22.13275  00 08 33.244  +05 12 50.83  23.5g 13RP156   W84  C~52RN      
2021 11  05.100620 00 20 15.493  +10 07 10.09  23.7G 13RP156   G37  C~5BQf      
2021 11  05.150290 00 20 15.303  +10 07 08.95        13RP156   G37  C~5BQf      
2021 11  05.198930 00 20 15.121  +10 07 07.92        13RP156   G37  C~5BQf      

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   0.0601      0.00     0.03       0.00     0.06
     3   0.0601      0.00     0.00       0.00    -0.04
     4   0.0902      0.00     0.01       0.00     0.20
     5   0.0929      0.00    -0.05       0.00    -0.03
     6   0.1365      0.00     0.03       0.00    -0.25
     7   0.1669      0.00     0.16       0.00     0.03
     8   1.1361      0.00     0.19       0.00    -0.05
     9   1.1389      0.00    -0.23       0.00    -0.24
    10   3.0389      0.00    -0.08       0.00     0.19
    11   3.0389      0.00    -0.06       0.00     0.08
    12   8.1586      0.00     0.02       0.00    -0.09
    13   8.1587      0.00    -0.01       0.00    -0.05
    14   8.1588      0.00     0.03       0.00     0.07

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.

13RP156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        39.142    39.142    39.142
ecceobj         0.112     0.112     0.112
incobj         31.398    31.398    31.398
qmin           33.852    33.825    33.859
qmax           44.617    44.569    44.567
amean          39.056    39.058    39.055
amin           38.737    38.737    38.737
amax           39.415    39.413    39.406
emean           0.115     0.115     0.115
emin            0.101     0.101     0.101
emax            0.133     0.132     0.132
imean          31.796    31.795    31.796
imin           31.374    31.381    31.377
imax           32.207    32.202    32.213
excite_mean     0.539     0.539     0.539
fracstop        1.000     1.000     1.000
cjmean          2.694     2.694     2.694

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       187.5     188.1     187.5
kozaiamp        180.0     180.0     180.0