Orbit Fit and Astrometric record for 13RW156

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: 13RW156   
# Created Mon Dec  6 02:11:51 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting      8 observations of      8
# Arc:   5.02y
# First observation: 2013/09/10
#  Last observation: 2018/09/17
# Chi-squared of fit:     2.96 DOF:     10 RMS:  0.11
# Min/Max residuals:    -0.18    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.577945E-05  2.338573E-02 -1.175653E-06 -2.640454E-03  2.453689E-02 -2.185154E-03
# Covariance matrix:
  6.4332E-13 -2.9074E-13  2.2038E-14  1.8238E-14  1.0679E-12 -1.7011E-12
 -2.9074E-13  5.7701E-13  1.4475E-14 -6.3430E-14 -1.4069E-13  5.2923E-12
  2.2038E-14  1.4475E-14  4.6781E-13 -1.2416E-13  2.1089E-13  1.4705E-13
  1.8238E-14 -6.3430E-14 -1.2416E-13  6.0798E-14 -6.4726E-16 -6.4077E-13
  1.0679E-12 -1.4069E-13  2.1089E-13 -6.4726E-16  8.2629E-12 -1.3891E-12
 -1.7011E-12  5.2923E-12  1.4705E-13 -6.4077E-13 -1.3891E-12  5.3457E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   14.688899  -37.138472   -0.416492    0.232798   -0.887745  2456545.640458
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          258.49361 +/-     0.271
Argument of Peri:      225.19231 +/-     0.216
Long of Asc Node:      208.46251 +/-     0.002
Inclination:            15.78234 +/-     0.000
Eccentricity:         0.08703599 +/-    0.0003
Semi-Major Axis:     40.65101289 +/-    0.0182
Time of Perihelion: 2483239.4381 +/-      84.7
Perihelion:          37.11291168 +/-    0.0211
Aphelion:            44.18911410 +/-    0.0237
Period (y)              259.1882 +/-      0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.41032448 +/-    0.0037
Ecliptic Y          -24.02044928 +/-    0.0028
Ecliptic Z           10.33420308 +/-    0.0012
Ecliptic XDOT         0.00144077 +/-    0.0000
Ecliptic YDOT         0.00217629 +/-    0.0000
Ecliptic ZDOT        -0.00034668 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.64386112 +/-    0.0033
Geocenter to KBO     40.75505735 +/-    0.0048
# Hcoef:  7.39

The following table shows the complete astrometric record for 13RW156. 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 (13RW156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.13968  21 21 49.194  +00 01 10.15  23.8r 13RW156   W84  C~52RN      
2013 09  13.11069  21 21 37.918  -00 00 21.97  22.5i 13RW156   W84  C~52RN      
2013 10  10.07341  21 20 20.372  -00 14 21.03  23.5r 13RW156   W84  C~52RN      
2016 09  07.14473  21 37 53.961  +00 53 23.72  23.2r 13RW156   W84  C~52RN      
2016 09  08.06963  21 37 50.118  +00 52 55.04  23.1z 13RW156   W84  C~52RN      
2016 09  26.02422  21 36 43.726  +00 43 17.80  24.2r 13RW156   W84  C~52RN      
2017 09  27.07074  21 42 00.873  +00 59 48.74  23.8i 13RW156   W84  C~52RN      
2018 09  17.20255  21 47 58.823  +01 22 23.31  23.5r 13RW156   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    -0.10       0.00    -0.15
     2   0.0081      0.00     0.11       0.00     0.05
     3   0.0820      0.00     0.01       0.00     0.08
     4   2.9925      0.00     0.22       0.00    -0.12
     5   2.9950      0.00    -0.06       0.00     0.08
     6   3.0442      0.00    -0.18       0.00     0.09
     7   4.0464      0.00     0.06       0.00     0.02
     8   5.0187      0.00    -0.02       0.00    -0.04

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.

13RW156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.794    40.794    40.794
ecceobj         0.087     0.087     0.087
incobj         15.779    15.779    15.779
qmin           36.188    36.193    36.236
qmax           45.608    45.650    45.616
amean          40.791    40.791    40.792
amin           40.470    40.466    40.467
amax           41.139    41.132    41.136
emean           0.092     0.092     0.092
emin            0.078     0.078     0.078
emax            0.110     0.110     0.109
imean          17.031    17.031    17.031
imin           16.036    16.031    16.040
imax           17.870    17.865    17.857
excite_mean     0.307     0.307     0.307
fracstop        1.000     1.000     1.000
cjmean          2.954     2.954     2.954

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       180.9     180.8     180.8
kozaiamp        180.0     180.0     179.9