Orbit Fit and Astrometric record for 13RD158

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: 13RD158   
# Created Fri Dec  3 02:11:55 2021
# Orbit generated from Bernstein formalism
# Fitting     15 observations of     15
# Arc:   4.99y
# First observation: 2013/09/12
#  Last observation: 2018/09/09
Preliminary a, adot, b, bdot, g, gdot:
  -0.000769   0.026202  -0.000599   0.015229   0.025644   0.000000
# Chi-squared of fit:     5.94 DOF:     24 RMS:  0.11
# Min/Max residuals:    -0.19    0.18
# Exact a, adot, b, bdot, g, gdot:
  1.517089E-05  2.494710E-02  8.760217E-06  1.447013E-02  2.472295E-02 -9.482478E-03
# Covariance matrix:
  4.2944E-13 -2.4903E-13  8.2886E-14 -1.0695E-13 -1.2289E-14 -1.4094E-12
 -2.4903E-13  3.4548E-13 -1.4418E-13  1.8699E-13  2.7190E-13  2.4745E-12
  8.2886E-14 -1.4418E-13  3.6661E-13 -1.7957E-13 -1.0753E-13 -1.1859E-12
 -1.0695E-13  1.8699E-13 -1.7957E-13  1.5581E-13  1.4090E-13  1.5367E-12
 -1.2289E-14  2.7190E-13 -1.0753E-13  1.4090E-13  5.8060E-13  1.8800E-12
 -1.4094E-12  2.4745E-12 -1.1859E-12  1.5367E-12  1.8800E-12  2.0321E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.557636   20.291571    0.516132   -0.202634   -0.840763  2456547.893578
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:          350.65915 +/-     0.007
Argument of Peri:       23.99051 +/-     0.014
Long of Asc Node:       41.15558 +/-     0.000
Inclination:            32.66002 +/-     0.000
Eccentricity:         0.63588182 +/-    0.0002
Semi-Major Axis:     98.14429308 +/-    0.0496
Time of Perihelion: 2465755.1694 +/-       1.7
Perihelion:          35.73612129 +/-    0.0269
Aphelion:           160.55246487 +/-    0.0835
Period (y)              972.3123 +/-      0.74
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.87058605 +/-    0.0011
Ecliptic Y           13.45537423 +/-    0.0004
Ecliptic Z           -9.48170044 +/-    0.0003
Ecliptic XDOT        -0.00156942 +/-    0.0000
Ecliptic YDOT         0.00236629 +/-    0.0000
Ecliptic ZDOT         0.00180409 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.29323222 +/-    0.0011
Geocenter to KBO     40.44824661 +/-    0.0012
# Hcoef:  7.11

The following table shows the complete astrometric record for 13RD158. 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 (13RD158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.39280  01 35 17.166  -04 38 40.61  23.3g 13RD158   W84  C~52RQ      
2013 10  29.06106  01 31 44.971  -04 55 06.59  24.0g 13RD158   W84  C~52RQ      
2014 08  18.35265  01 40 36.369  -03 10 17.81  23.4i 13RD158   W84  C~52RQ      
2014 10  02.33274  01 38 00.358  -03 27 30.91  24.1g 13RD158   W84  C~52RQ      
2014 10  23.23299  01 36 19.960  -03 34 31.46  23.0i 13RD158   W84  C~52RQ      
2014 10  23.23438  01 36 19.957  -03 34 31.55  23.5r 13RD158   W84  C~52RQ      
2015 09  04.33184  01 44 03.034  -01 55 58.38  22.4z 13RD158   W84  C~52RQ      
2015 09  04.33319  01 44 03.010  -01 55 58.56  22.9i 13RD158   W84  C~52RQ      
2015 11  01.20290  01 39 47.139  -02 16 05.31  22.8z 13RD158   W84  C~52RQ      
2015 11  07.12743  01 39 19.038  -02 17 17.57  23.3r 13RD158   W84  C~52RQ      
2016 12  07.07426  01 41 28.042  -00 56 53.97  22.8z 13RD158   W84  C~52RQ      
2017 10  29.25934  01 48 30.202  +00 30 28.58  22.0z 13RD158   W84  C~52RQ      
2017 11  15.15429  01 47 09.245  +00 27 02.58  23.3r 13RD158   W84  C~52RQ      
2017 11  18.18692  01 46 55.740  +00 26 39.55  23.6g 13RD158   W84  C~52RQ      
2018 09  09.27821  01 56 41.284  +02 12 21.49  23.8g 13RD158   W84  C~52RQ      

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     0.16       0.00     0.10
     2   0.1278  -3310.78    -0.19     270.90    -0.12
     3   0.9308   6419.64     0.08    3125.09    -0.01
     4   1.0539   3864.51    -0.15    3044.18     0.18
     5   1.1111   2312.82     0.05    3217.65     0.10
     6   1.1111   2312.75     0.08    3217.58     0.02
     7   1.9766  10977.17     0.16    6098.84    -0.13
     8   1.9766  10976.77    -0.17    6098.81    -0.15
     9   2.1350   6959.63     0.01    6420.26     0.00
    10   2.1512   6541.51    -0.16    6511.31    -0.02
    11   3.2353  10157.39     0.18   10268.27    -0.07
    12   4.1283  18050.62     0.00   12774.42    -0.03
    13   4.1746  16837.76    -0.05   13039.13     0.01
    14   4.1829  16639.86     0.05   13093.86    -0.06
    15   4.9908  27318.17    -0.06   15733.61     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.

13RD158    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        99.173    99.301    99.044
ecceobj         0.639     0.639     0.638
incobj         32.614    32.614    32.614
qmin           35.016    33.181    35.022
qmax          163.667   166.026   163.737
amean          97.196    97.275    97.206
amin           95.446    95.468    95.488
amax           99.814   100.382    99.852
emean           0.629     0.640     0.629
emin            0.619     0.621     0.618
emax            0.640     0.659     0.640
imean          32.307    31.214    32.325
imin           31.804    30.133    31.808
imax           32.690    32.872    32.780
excite_mean     0.825     0.824     0.825
fracstop        1.000     1.000     1.000
cjmean          2.670     2.670     2.670

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        66.6     100.0      68.9
kozaiamp         45.7      77.6      50.3