Orbit Fit and Astrometric record for 13TP187

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: 13TP187   
# Created Mon Dec  6 02:12:04 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     31 observations of     31
# Arc:   8.11y
# First observation: 2013/10/03
#  Last observation: 2021/11/11
# Chi-squared of fit:     7.03 DOF:     56 RMS:  0.08
# Min/Max residuals:    -0.19    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.595751E-05  2.783570E-02 -9.186612E-06 -1.605090E-02  2.623376E-02  4.310804E-03
# Covariance matrix:
  2.1442E-13 -6.2098E-14 -2.8862E-14  2.5238E-14  1.1218E-13 -2.1212E-13
 -6.2098E-14  5.1336E-14  2.6354E-14 -2.6322E-14  1.3616E-14  2.2249E-13
 -2.8862E-14  2.6354E-14  1.2876E-13 -4.0693E-14 -8.3361E-16  1.3995E-13
  2.5238E-14 -2.6322E-14 -4.0693E-14  2.5637E-14 -5.7055E-15 -1.3916E-13
  1.1218E-13  1.3616E-14 -8.3361E-16 -5.7055E-15  2.3110E-13  5.0428E-14
 -2.1212E-13  2.2249E-13  1.3995E-13 -1.3916E-13  5.0428E-14  1.1760E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.031180   26.824508    0.292000   -0.150128   -0.945251  2456568.746148
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:            5.59624 +/-     0.002
Argument of Peri:      176.55949 +/-     0.005
Long of Asc Node:      191.55496 +/-     0.000
Inclination:            31.18135 +/-     0.000
Eccentricity:         0.52293317 +/-    0.0001
Semi-Major Axis:     80.08181465 +/-    0.0155
Time of Perihelion: 2452499.4525 +/-       1.9
Perihelion:          38.20437716 +/-    0.0101
Aphelion:           121.95925215 +/-    0.0246
Period (y)              716.6532 +/-      0.21
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.58037949 +/-    0.0006
Ecliptic Y           17.16250914 +/-    0.0003
Ecliptic Z           -5.98396262 +/-    0.0001
Ecliptic XDOT        -0.00115524 +/-    0.0000
Ecliptic YDOT         0.00267292 +/-    0.0000
Ecliptic ZDOT        -0.00172485 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.06603444 +/-    0.0006
Geocenter to KBO     38.11876049 +/-    0.0007
# Hcoef:  6.95

The following table shows the complete astrometric record for 13TP187. 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 (13TP187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.24537  01 52 33.018  +01 54 20.95  23.6g 13TP187   W84  C~4yRD      
2013 10  03.24537  01 52 33.02   +01 54 20.9   23.7g 13TP187   W84  C~3clQ      
2013 11  23.18047  01 48 47.989  +01 26 52.28  22.6i 13TP187   W84  C~4yRD      
2013 11  23.18047  01 48 47.99   +01 26 52.3   22.6i 13TP187   W84  C~3clQ      
2013 12  21.11163  01 47 29.756  +01 20 26.84  22.2i 13TP187   W84  C~4yRD      
2013 12  21.11163  01 47 29.76   +01 20 26.8   22.2i 13TP187   W84  C~3clQ      
2013 12  21.11303  01 47 29.767  +01 20 26.72  22.7z 13TP187   W84  C~4yRD      
2014 10  03.33180  01 59 48.214  +01 36 50.96  22.7r 13TP187   W84  C~4yRD      
2014 10  03.33180  01 59 48.21   +01 36 50.9   22.7r 13TP187   W84  C~3clQ      
2014 10  21.28323  01 58 27.933  +01 25 43.48  22.9r 13TP187   W84  C~4yRD      
2014 10  21.28323  01 58 27.93   +01 25 43.5   22.9r 13TP187   W84  C~3clQ      
2014 10  21.28460  01 58 27.920  +01 25 43.46  22.9i 13TP187   W84  C~4yRD      
2014 10  21.28460  01 58 27.92   +01 25 43.5   23.0i 13TP187   W84  C~3clQ      
2015 12  17.12233  02 01 55.151  +00 46 31.34  22.5i 13TP187   W84  C~4yRD      
2015 12  17.12233  02 01 55.15   +00 46 31.3   22.5i 13TP187   W84  C~3clQ      
2016 09  09.39746  02 15 23.875  +01 16 35.85  23.0i 13TP187   W84  C~4yRD      
2016 09  09.39746  02 15 23.87   +01 16 35.9   22.9i 13TP187   W84  C~3clQ      
2016 11  27.12737  02 09 59.925  +00 33 27.54  22.9r 13TP187   W84  C~4yRD      
2016 11  27.12737  02 09 59.92   +00 33 27.5   23.0r 13TP187   W84  C~3clQ      
2016 11  28.11615  02 09 56.150  +00 33 09.36  22.6i 13TP187   W84  C~4yRD      
2016 11  28.11615  02 09 56.15   +00 33 09.3   22.2i 13TP187   W84  C~3clQ      
2016 11  28.11753  02 09 56.138  +00 33 09.36  24.1g 13TP187   W84  C~4yRD      
2017 10  13.24668  02 20 22.188  +00 38 03.62  22.8i 13TP187   W84  C~4yRD      
2017 10  13.24804  02 20 22.178  +00 38 03.46  22.9r 13TP187   W84  C~4yRD      
2017 10  21.22556  02 19 46.363  +00 33 17.77  23.9g 13TP187   W84  C~4yRD      
2017 11  16.17097  02 17 47.437  +00 20 17.19  23.9g 13TP187   W84  C~4yRD      
2017 11  16.18502  02 17 47.367  +00 20 16.72  22.6r 13TP187   W84  C~4yRD      
2017 12  24.06521  02 15 38.397  +00 11 51.93  22.5z 13TP187   W84  C~4yRD      
2021 11  11.362875 02 45 32.558  -00 44 38.73  22.7w 13TP187   F51  C~5BQr      
2021 11  11.375567 02 45 32.503  -00 44 38.82  23.0w 13TP187   F51  C~5BQr      
2021 11  11.388388 02 45 32.440  -00 44 39.27  22.7w 13TP187   F51  C~5BQr      

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    -0.03
     2   0.0000      0.00     0.16       0.00     0.02
     3   0.1395      0.00    -0.09       0.00     0.03
     4   0.1395      0.00    -0.11       0.00     0.01
     5   0.2159      0.00    -0.02       0.00     0.08
     6   0.2159      0.00    -0.08       0.00     0.12
     7   0.2159      0.00     0.13       0.00     0.01
     8   0.9996      0.00    -0.11       0.00    -0.19
     9   0.9996      0.00    -0.05       0.00    -0.13
    10   1.0487      0.00    -0.01       0.00     0.05
    11   1.0487      0.00     0.04       0.00     0.03
    12   1.0487      0.00    -0.06       0.00     0.10
    13   1.0487      0.00    -0.06       0.00     0.06
    14   2.2036      0.00    -0.00       0.00    -0.01
    15   2.2036      0.00     0.01       0.00     0.03
    16   2.9354      0.00    -0.07       0.00     0.07
    17   2.9354      0.00     0.00       0.00     0.02
    18   3.1509      0.00     0.02       0.00    -0.01
    19   3.1509      0.00     0.10       0.00     0.03
    20   3.1537      0.00     0.01       0.00    -0.16
    21   3.1537      0.00     0.01       0.00    -0.10
    22   3.1537      0.00    -0.09       0.00    -0.08
    23   4.0274      0.00     0.12       0.00     0.04
    24   4.0274      0.00     0.06       0.00    -0.07
    25   4.0492      0.00     0.05       0.00    -0.03
    26   4.1203      0.00    -0.05       0.00     0.10
    27   4.1203      0.00    -0.16       0.00    -0.02
    28   4.2240      0.00     0.18       0.00     0.00
    29   8.1071      0.00    -0.04       0.00    -0.09
    30   8.1071      0.00     0.03       0.00     0.15
    31   8.1072      0.00    -0.01       0.00     0.03

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.

13TP187    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        81.008    81.008    81.008
ecceobj         0.529     0.529     0.529
incobj         31.110    31.110    31.110
qmin           35.841    35.840    35.861
qmax          126.128   126.405   126.201
amean          79.771    79.772    79.757
amin           78.617    78.620    78.687
amax           81.406    81.496    81.462
emean           0.530     0.530     0.529
emin            0.513     0.513     0.513
emax            0.550     0.551     0.550
imean          30.452    30.461    30.470
imin           29.482    29.474    29.516
imax           31.362    31.363    31.376
excite_mean     0.733     0.733     0.733
fracstop        1.000     1.000     1.000
cjmean          2.757     2.757     2.757

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       230.5     229.7     234.0
kozaiamp        180.0     180.0     180.0