Orbit Fit and Astrometric record for 13RQ156

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: 13RQ156   
# Created Fri Dec  3 02:11:53 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     30 observations of     30
# Arc:   5.16y
# First observation: 2013/09/09
#  Last observation: 2018/11/08
# Chi-squared of fit:     8.21 DOF:     54 RMS:  0.09
# Min/Max residuals:    -0.19    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.401896E-05  2.004441E-02 -4.468381E-06 -4.287910E-03  2.312776E-02  7.078911E-04
# Covariance matrix:
  2.8821E-13 -7.2724E-14 -2.4340E-15  6.3327E-15  1.5888E-13 -3.0694E-13
 -7.2724E-14  1.6799E-13  2.1751E-14 -3.8216E-14  1.1359E-13  1.8260E-12
 -2.4340E-15  2.1751E-14  1.7865E-13 -5.0602E-14  1.8804E-14  2.6189E-13
  6.3327E-15 -3.8216E-14 -5.0602E-14  2.5748E-14 -2.9609E-14 -4.5966E-13
  1.5888E-13  1.1359E-13  1.8804E-14 -2.9609E-14  3.8429E-13  1.4075E-12
 -3.0694E-13  1.8260E-12  2.6189E-13 -4.5966E-13  1.4075E-12  2.1962E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.645247   -2.329330    0.198157    0.045705   -0.987410  2456544.676458
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          165.42031 +/-     0.093
Argument of Peri:      359.28720 +/-     0.092
Long of Asc Node:      189.34454 +/-     0.000
Inclination:            12.32724 +/-     0.000
Eccentricity:         0.12331228 +/-    0.0001
Semi-Major Axis:     39.48160181 +/-    0.0031
Time of Perihelion: 2414907.7432 +/-      24.0
Perihelion:          34.61303560 +/-    0.0039
Aphelion:            44.35016803 +/-    0.0045
Period (y)              248.0849 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           44.13566435 +/-    0.0012
Ecliptic Y           -1.99055550 +/-    0.0001
Ecliptic Z            1.99531685 +/-    0.0001
Ecliptic XDOT         0.00019731 +/-    0.0000
Ecliptic YDOT         0.00236538 +/-    0.0000
Ecliptic ZDOT        -0.00050305 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.22554665 +/-    0.0012
Geocenter to KBO     43.23809460 +/-    0.0012
# Hcoef:  6.89

The following table shows the complete astrometric record for 13RQ156. 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 (13RQ156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.17568  23 47 14.679  +01 30 03.47  24.4g 13RQ156   W84  C~52RN      
2013 09  30.13112  23 45 46.355  +01 19 34.09  23.3r 13RQ156   W84  C~52RN      
2013 09  30.13557  23 45 46.340  +01 19 33.78  23.0i 13RQ156   W84  C~52RN      
2013 10  26.02672  23 44 08.780  +01 07 10.37  23.9g 13RQ156   W84  C~52RN      
2013 10  28.04236  23 44 02.394  +01 06 18.55  22.9r 13RQ156   W84  C~52RN      
2013 10  28.04375  23 44 02.388  +01 06 18.73  22.8i 13RQ156   W84  C~52RN      
2013 11  08.12202  23 43 31.604  +01 01 58.64  23.4r 13RQ156   W84  C~52RN      
2015 11  06.07076  23 52 45.774  +01 30 21.23  22.9r 13RQ156   W84  C~52RN      
2015 11  07.04933  23 52 43.098  +01 29 59.18  23.4i 13RQ156   W84  C~52RN      
2015 11  07.05070  23 52 43.096  +01 29 59.04  23.4r 13RQ156   W84  C~52RN      
2015 11  07.05207  23 52 43.084  +01 29 58.89  23.5g 13RQ156   W84  C~52RN      
2015 11  07.05623  23 52 43.075  +01 29 58.87  23.3r 13RQ156   W84  C~52RN      
2015 11  07.05760  23 52 43.073  +01 29 58.91  24.1g 13RQ156   W84  C~52RN      
2016 09  11.23736  00 00 51.727  +02 10 09.22  23.0z 13RQ156   W84  C~52RN      
2016 10  02.16510  23 59 23.504  +01 59 41.19  23.7r 13RQ156   W84  C~52RN      
2016 10  02.16649  23 59 23.489  +01 59 41.12  23.9g 13RQ156   W84  C~52RN      
2017 08  18.29952  00 06 57.371  +02 34 12.47  23.2r 13RQ156   W84  C~52RN      
2017 08  18.30090  00 06 57.368  +02 34 12.58  23.2i 13RQ156   W84  C~52RN      
2017 08  18.30227  00 06 57.373  +02 34 12.60  23.8g 13RQ156   W84  C~52RN      
2017 09  27.18416  00 04 20.629  +02 15 56.96  23.2i 13RQ156   W84  C~52RN      
2017 09  27.18554  00 04 20.614  +02 15 56.82  23.1r 13RQ156   W84  C~52RN      
2017 10  11.20703  00 03 22.355  +02 08 54.47  22.4z 13RQ156   W84  C~52RN      
2017 10  13.14730  00 03 14.593  +02 07 57.54  23.6g 13RQ156   W84  C~52RN      
2017 10  29.15498  00 02 15.745  +02 00 33.83  23.1i 13RQ156   W84  C~52RN      
2017 11  08.07280  00 01 45.568  +01 56 35.42  23.4r 13RQ156   W84  C~52RN      
2017 11  08.07418  00 01 45.559  +01 56 35.24  23.8g 13RQ156   W84  C~52RN      
2018 10  18.15858  00 07 30.723  +02 19 13.75  22.4z 13RQ156   W84  C~52RN      
2018 10  28.17245  00 06 54.068  +02 14 38.78  23.5i 13RQ156   W84  C~52RN      
2018 11  07.14231  00 06 22.325  +02 10 33.32  23.3r 13RQ156   W84  C~52RN      
2018 11  08.14027  00 06 19.462  +02 10 10.66  24.2g 13RQ156   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    -0.19       0.00     0.27
     2   0.0574      0.00     0.01       0.00     0.10
     3   0.0574      0.00     0.06       0.00    -0.07
     4   0.1283      0.00     0.04       0.00    -0.06
     5   0.1338      0.00     0.08       0.00    -0.14
     6   0.1338      0.00     0.06       0.00     0.08
     7   0.1641      0.00    -0.03       0.00    -0.14
     8   2.1571      0.00     0.21       0.00    -0.04
     9   2.1598      0.00    -0.00       0.00     0.08
    10   2.1598      0.00     0.02       0.00    -0.02
    11   2.1598      0.00    -0.10       0.00    -0.14
    12   2.1598      0.00    -0.06       0.00    -0.07
    13   2.1598      0.00    -0.04       0.00     0.00
    14   3.0063      0.00    -0.05       0.00    -0.11
    15   3.0636      0.00     0.06       0.00     0.11
    16   3.0636      0.00    -0.08       0.00     0.08
    17   3.9401      0.00    -0.06       0.00    -0.08
    18   3.9401      0.00    -0.03       0.00     0.06
    19   3.9401      0.00     0.11       0.00     0.12
    20   4.0493      0.00     0.07       0.00     0.06
    21   4.0493      0.00    -0.07       0.00    -0.04
    22   4.0877      0.00     0.13       0.00    -0.04
    23   4.0930      0.00     0.00       0.00     0.14
    24   4.1368      0.00     0.07       0.00    -0.03
    25   4.1640      0.00     0.03       0.00     0.12
    26   4.1640      0.00    -0.04       0.00    -0.03
    27   5.1060      0.00    -0.13       0.00    -0.04
    28   5.1335      0.00     0.10       0.00    -0.17
    29   5.1608      0.00    -0.02       0.00     0.01
    30   5.1635      0.00    -0.00       0.00     0.06

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.

13RQ156    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.658    39.658    39.658
ecceobj         0.118     0.118     0.118
incobj         12.291    12.291    12.291
qmin           33.692    33.694    33.692
qmax           45.552    45.552    45.551
amean          39.458    39.458    39.458
amin           39.079    39.079    39.079
amax           39.876    39.876    39.875
emean           0.119     0.119     0.119
emin            0.095     0.095     0.095
emax            0.144     0.144     0.144
imean          12.757    12.757    12.757
imin           12.156    12.157    12.155
imax           13.480    13.480    13.481
excite_mean     0.251     0.251     0.251
fracstop        1.000     1.000     1.000
cjmean          2.980     2.980     2.980

libcent 0       180.7     180.7     180.5
libamp  0        65.0      65.3      64.8
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       181.9     182.0     182.0
kozaiamp        180.0     180.0     180.0