Orbit Fit and Astrometric record for 13RV157

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: 13RV157   
# Created Fri Dec  3 02:11:55 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     10 observations of     10
# Arc:   5.02y
# First observation: 2013/09/11
#  Last observation: 2018/09/17
# Chi-squared of fit:     6.51 DOF:     14 RMS:  0.14
# Min/Max residuals:    -0.33    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.921171E-05  3.078556E-02 -3.260505E-06 -6.115798E-03  2.682248E-02  9.119214E-03
# Covariance matrix:
  8.6311E-13  7.7694E-13  4.8250E-14 -1.5697E-13  1.9831E-12  5.8496E-12
  7.7694E-13  2.0169E-12  1.1151E-13 -3.8941E-13  3.3455E-12  1.4440E-11
  4.8250E-14  1.1151E-13  2.6829E-13 -8.9423E-14  1.9020E-13  8.1431E-13
 -1.5697E-13 -3.8941E-13 -8.9423E-14  1.1862E-13 -6.3765E-13 -2.8592E-12
  1.9831E-12  3.3455E-12  1.9020E-13 -6.3765E-13  6.9392E-12  2.3711E-11
  5.8496E-12  1.4440E-11  8.1431E-13 -2.8592E-12  2.3711E-11  1.0598E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.953849   -8.128108    0.061581    0.051918   -1.004280  2456546.767898
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           15.39090 +/-     0.013
Argument of Peri:      116.11436 +/-     0.047
Long of Asc Node:      185.99948 +/-     0.000
Inclination:            11.56262 +/-     0.000
Eccentricity:         0.50271393 +/-    0.0002
Semi-Major Axis:     67.99901140 +/-    0.0274
Time of Perihelion: 2447790.3383 +/-       9.1
Perihelion:          33.81496121 +/-    0.0195
Aphelion:           102.18306159 +/-    0.0435
Period (y)              560.7407 +/-      0.34
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.84522073 +/-    0.0036
Ecliptic Y           -5.46417180 +/-    0.0005
Ecliptic Z            1.92106713 +/-    0.0002
Ecliptic XDOT         0.00139021 +/-    0.0000
Ecliptic YDOT         0.00297366 +/-    0.0000
Ecliptic ZDOT        -0.00057532 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.28567977 +/-    0.0036
Geocenter to KBO     37.28199227 +/-    0.0037
# Hcoef:  8.03

The following table shows the complete astrometric record for 13RV157. 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 (13RV157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.26712  23 25 28.820  -00 30 32.99  24.7g 13RV157   W84  C~52RP      
2013 09  30.11140  23 24 02.814  -00 41 07.91  24.3r 13RV157   W84  C~52RP      
2013 09  30.11286  23 24 02.811  -00 41 07.98  23.5i 13RV157   W84  C~52RP      
2013 10  12.08642  23 23 12.886  -00 47 36.92  23.5i 13RV157   W84  C~52RP      
2013 10  12.10619  23 23 12.815  -00 47 37.25  23.0z 13RV157   W84  C~52RP      
2014 10  27.17110  23 29 17.584  -00 32 39.05  24.1r 13RV157   W84  C~52RP      
2015 11  08.04459  23 35 33.754  -00 15 39.45  24.8r 13RV157   W84  C~52RP      
2017 11  15.03240  23 48 29.324  +00 23 59.09  23.2r 13RV157   W84  C~52RP      
2017 11  17.02350  23 48 25.452  +00 23 22.07  24.1r 13RV157   W84  C~52RP      
2018 09  17.28275  23 58 36.079  +01 12 44.68  23.2i 13RV157   W84  C~52RP      

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    -0.17       0.00    -0.15
     2   0.0516      0.00     0.05       0.00     0.00
     3   0.0516      0.00     0.10       0.00    -0.02
     4   0.0844      0.00    -0.07       0.00    -0.08
     5   0.0844      0.00     0.05       0.00     0.20
     6   1.1250      0.00    -0.03       0.00     0.19
     7   2.1568      0.00     0.21       0.00    -0.10
     8   4.1773      0.00    -0.14       0.00     0.12
     9   4.1828      0.00    -0.01       0.00    -0.33
    10   5.0158      0.00     0.05       0.00     0.18

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.

13RV157    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        68.676    68.676    68.675
ecceobj         0.508     0.508     0.508
incobj         11.540    11.540    11.540
qmin           33.252    32.601    33.070
qmax          104.850   110.395   105.466
amean          67.291    70.077    66.521
amin           65.992    66.960    64.284
amax           69.344    72.188    69.824
emean           0.490     0.514     0.489
emin            0.468     0.486     0.463
emax            0.512     0.535     0.515
imean          12.658    12.137    12.183
imin           11.325     9.548    10.916
imax           14.690    13.646    13.841
excite_mean     0.537     0.556     0.532
fracstop        1.000     1.000     1.000
cjmean          2.990     2.988     2.987

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       185.9     201.5     187.8
kozaiamp        180.0     180.0     179.9