Orbit Fit and Astrometric record for 13RB157

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: 13RB157   
# Created Mon Dec  6 02:11:52 2021
# Orbit generated from Bernstein formalism
# Fitting     10 observations of     10
# Arc:   4.02y
# First observation: 2013/09/10
#  Last observation: 2017/09/18
Preliminary a, adot, b, bdot, g, gdot:
   0.000007   0.030525   0.000010   0.001612   0.028454   0.000000
# Chi-squared of fit:     5.29 DOF:     14 RMS:  0.13
# Min/Max residuals:    -0.20    0.30
# Exact a, adot, b, bdot, g, gdot:
  1.695677E-05  3.121352E-02  4.296792E-07  1.660554E-03  2.890688E-02  6.852145E-03
# Covariance matrix:
  6.7273E-13  1.7059E-13 -2.1904E-14  2.0437E-14  7.0042E-13  2.7044E-12
  1.7059E-13  1.2921E-12 -4.5906E-14  7.9069E-14  1.1524E-12  1.1131E-11
 -2.1904E-14 -4.5906E-14  3.1566E-13 -9.5059E-14 -6.0972E-14 -4.2598E-13
  2.0437E-14  7.9069E-14 -9.5059E-14  5.7131E-14  7.9029E-14  7.1392E-13
  7.0042E-13  1.1524E-12 -6.0972E-14  7.9029E-14  1.7569E-12  1.0866E-11
  2.7044E-12  1.1131E-11 -4.2598E-13  7.1392E-13  1.0866E-11  1.0030E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.436682    7.133320    0.339541   -0.139116   -0.938610  2456545.816908
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:           51.66607 +/-     0.016
Argument of Peri:      213.71664 +/-     0.036
Long of Asc Node:       77.07291 +/-     0.003
Inclination:             8.70473 +/-     0.000
Eccentricity:         0.22628141 +/-    0.0003
Semi-Major Axis:     39.56133387 +/-    0.0058
Time of Perihelion: 2443496.5904 +/-       2.8
Perihelion:          30.60933954 +/-    0.0129
Aphelion:            48.51332819 +/-    0.0140
Period (y)              248.8368 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.93794281 +/-    0.0016
Ecliptic Y            4.03329343 +/-    0.0002
Ecliptic Z           -5.07548961 +/-    0.0002
Ecliptic XDOT         0.00028660 +/-    0.0000
Ecliptic YDOT         0.00301486 +/-    0.0000
Ecliptic ZDOT         0.00006050 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.53432001 +/-    0.0015
Geocenter to KBO     34.59384003 +/-    0.0016
# Hcoef:  8.23

The following table shows the complete astrometric record for 13RB157. 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 (13RB157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.31613  00 39 32.683  -04 55 08.70  24.4g 13RB157   W84  C~52RN      
2013 09  10.31750  00 39 32.678  -04 55 08.77  24.7r 13RB157   W84  C~52RN      
2013 11  08.08168  00 34 43.011  -05 22 27.62  22.9r 13RB157   W84  C~52RN      
2013 11  23.13356  00 33 51.301  -05 24 46.25  23.9i 13RB157   W84  C~52RN      
2014 11  14.05768  00 40 44.037  -04 36 32.68  23.9r 13RB157   W84  C~52RN      
2014 11  15.12462  00 40 40.124  -04 36 44.32  24.0r 13RB157   W84  C~52RN      
2016 11  25.10179  00 52 32.031  -03 05 27.21  23.5r 13RB157   W84  C~52RN      
2017 08  28.36267  01 05 21.219  -01 41 24.98  23.7r 13RB157   W84  C~52RN      
2017 09  18.25801  01 03 53.934  -01 52 32.12  23.0i 13RB157   W84  C~52RN      
2017 09  18.25938  01 03 53.940  -01 52 32.30  23.5r 13RB157   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     0.02       0.00     0.10
     2   0.0000     -0.10     0.04      -0.03     0.07
     3   0.1609  -4623.72     0.12     205.29    -0.06
     4   0.2021  -5388.50    -0.07     382.42    -0.19
     5   1.1766   1421.62    -0.20     601.87    -0.15
     6   1.1795   1363.29     0.01     614.38     0.17
     7   3.2082  13336.13     0.14    1396.93     0.30
     8   3.9645  26036.87    -0.05    1396.73    -0.09
     9   4.0217  24548.31    -0.06    1310.76     0.03
    10   4.0217  24548.32     0.06    1310.56    -0.17

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.

13RB157    quality flag:3

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

axisobj        39.789    39.807    39.770
ecceobj         0.230     0.230     0.230
incobj          8.710     8.710     8.710
qmin           29.845    29.867    29.838
qmax           49.877    50.003    49.882
amean          39.457    39.457    39.456
amin           38.882    38.867    38.894
amax           40.101    40.128    40.113
emean           0.227     0.226     0.228
emin            0.210     0.210     0.213
emax            0.244     0.247     0.245
imean           7.000     7.013     6.938
imin            6.297     6.528     6.357
imax            7.752     7.598     7.581
excite_mean     0.258     0.257     0.258
fracstop        1.000     1.000     1.000
cjmean          2.976     2.977     2.976

libcent 0       180.5     179.6     180.4
libamp  0       130.3     133.6     127.7
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       199.1     174.3     258.9
kozaiamp        180.0     180.0     180.0