Orbit Fit and Astrometric record for 15TY360

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: 15TY360   
# Created Fri Dec  3 02:13:33 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     30 observations of     30
# Arc:   5.10y
# First observation: 2013/09/10
#  Last observation: 2018/10/18
# Chi-squared of fit:     6.88 DOF:     54 RMS:  0.08
# Min/Max residuals:    -0.16    0.18
# Exact a, adot, b, bdot, g, gdot:
  1.502456E-05  2.102752E-02  2.915706E-06  3.252394E-03  2.268657E-02  9.275467E-03
# Covariance matrix:
  2.6812E-13 -6.3948E-14  2.5240E-16 -2.8206E-16  1.9604E-13 -1.4627E-14
 -6.3948E-14  1.5466E-13 -1.0718E-14  2.3086E-14  9.5609E-14  1.7635E-12
  2.5240E-16 -1.0718E-14  1.3999E-13 -4.5385E-14 -1.0021E-14 -1.4467E-13
 -2.8206E-16  2.3086E-14 -4.5385E-14  2.5478E-14  2.2023E-14  3.1214E-13
  1.9604E-13  9.5609E-14 -1.0021E-14  2.2023E-14  4.2136E-13  1.6939E-12
 -1.4627E-14  1.7635E-12 -1.4467E-13  3.1214E-13  1.6939E-12  2.3858E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.118624   14.915008    0.464235   -0.079701   -0.890911  2456545.859148
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           41.58177 +/-     0.018
Argument of Peri:      241.19002 +/-     0.011
Long of Asc Node:       44.22046 +/-     0.001
Inclination:             9.98830 +/-     0.000
Eccentricity:         0.42649299 +/-    0.0002
Semi-Major Axis:     55.57110029 +/-    0.0138
Time of Perihelion: 2439069.2784 +/-       9.9
Perihelion:          31.87041561 +/-    0.0147
Aphelion:            79.27178497 +/-    0.0232
Period (y)              414.2683 +/-      0.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           43.40736964 +/-    0.0012
Ecliptic Y           11.08479630 +/-    0.0003
Ecliptic Z           -3.93253464 +/-    0.0001
Ecliptic XDOT         0.00045186 +/-    0.0000
Ecliptic YDOT         0.00274695 +/-    0.0000
Ecliptic ZDOT         0.00029121 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.97235201 +/-    0.0012
Geocenter to KBO     44.07868035 +/-    0.0013
# Hcoef:  6.67

The following table shows the complete astrometric record for 15TY360. 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 (15TY360) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.35837  01 02 50.121  +01 09 09.91  23.7g 15TY360   W84  C~52RO      
2013 09  10.35978  01 02 50.118  +01 09 10.03  23.1r 15TY360   W84  C~52RO      
2013 09  10.36117  01 02 50.116  +01 09 09.92  23.0i 15TY360   W84  C~52RO      
2013 10  03.11252  01 01 18.975  +00 59 39.80  23.8g 15TY360   W84  C~52RO      
2013 10  13.20726  01 00 35.811  +00 55 31.54  23.0i 15TY360   W84  C~52RO      
2013 11  08.17829  00 58 51.310  +00 46 34.40  23.7r 15TY360   W84  C~52RO      
2013 11  08.19267  00 58 51.250  +00 46 34.21  23.3i 15TY360   W84  C~52RO      
2013 11  23.15645  00 58 03.038  +00 43 15.25  23.2i 15TY360   W84  C~52RO      
2013 11  23.15782  00 58 03.054  +00 43 15.09  22.4z 15TY360   W84  C~52RO      
2014 10  23.24435  01 04 03.624  +01 29 42.08  23.6r 15TY360   W84  C~52RO      
2015 10  10.320507 01 09 03.556  +02 11 58.60  23.0r 15TY360   568  C~2TuU      
2015 10  10.352440 01 09 03.419  +02 11 57.85  23.0r 15TY360   568  C~2TuU      
2015 10  10.354562 01 09 03.407  +02 11 57.80  23.1r 15TY360   568  C~2TuU      
2015 10  10.386832 01 09 03.271  +02 11 57.00  23.1r 15TY360   568  C~2TuU      
2015 10  14.300446 01 08 46.706  +02 10 23.57  23.7g 15TY360   568  C~2TuU      
2015 10  14.332472 01 08 46.570  +02 10 22.82  23.4g 15TY360   568  C~2TuU      
2015 10  14.334604 01 08 46.559  +02 10 22.75  23.6g 15TY360   568  C~2TuU      
2015 10  14.366697 01 08 46.424  +02 10 21.97  23.5g 15TY360   568  C~2TuU      
2015 11  07.12015  01 07 10.299  +02 02 01.51  23.3r 15TY360   W84  C~52RO      
2016 08  30.35818  01 15 33.207  +03 03 57.59  24.5g 15TY360   W84  C~52RO      
2016 11  05.17688  01 11 14.911  +02 38 50.23  23.1r 15TY360   W84  C~52RO      
2016 11  05.17825  01 11 14.906  +02 38 50.10  23.1i 15TY360   W84  C~52RO      
2016 11  05.17962  01 11 14.895  +02 38 50.33  23.5g 15TY360   W84  C~52RO      
2017 08  22.41286  01 19 47.991  +03 41 52.51  23.0i 15TY360   W84  C~52RO      
2017 08  27.37768  01 19 35.728  +03 40 24.85  23.1r 15TY360   W84  C~52RO      
2017 08  28.36829  01 19 33.105  +03 40 06.22  23.1i 15TY360   W84  C~52RO      
2017 08  28.37103  01 19 33.107  +03 40 06.32  22.2z 15TY360   W84  C~52RO      
2017 08  28.37650  01 19 33.083  +03 40 06.14  23.5r 15TY360   W84  C~52RO      
2017 09  18.30477  01 18 25.454  +03 32 43.07  24.0g 15TY360   W84  C~52RO      
2018 10  18.20313  01 20 17.986  +03 56 11.12  22.8z 15TY360   W84  C~52RO      

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    -0.15
     2   0.0000      0.00     0.01       0.00     0.00
     3   0.0000      0.00     0.06       0.00    -0.07
     4   0.0623      0.00     0.00       0.00     0.06
     5   0.0899      0.00    -0.02       0.00     0.07
     6   0.1610      0.00     0.03       0.00     0.08
     7   0.1611      0.00    -0.07       0.00     0.12
     8   0.2020      0.00    -0.16       0.00     0.07
     9   0.2021      0.00     0.14       0.00    -0.07
    10   1.1167      0.00     0.17       0.00    -0.14
    11   2.0807      0.00    -0.03       0.00    -0.03
    12   2.0808      0.00    -0.03       0.00    -0.01
    13   2.0808      0.00    -0.07       0.00    -0.01
    14   2.0808      0.00    -0.02       0.00    -0.04
    15   2.0916      0.00    -0.04       0.00    -0.01
    16   2.0916      0.00    -0.02       0.00    -0.01
    17   2.0917      0.00    -0.04       0.00    -0.03
    18   2.0917      0.00     0.00       0.00    -0.05
    19   2.1568      0.00     0.03       0.00     0.04
    20   2.9706      0.00    -0.11       0.00     0.15
    21   3.1535      0.00     0.09       0.00     0.03
    22   3.1535      0.00     0.09       0.00    -0.07
    23   3.1535      0.00     0.01       0.00     0.18
    24   3.9481      0.00     0.18       0.00     0.15
    25   3.9617      0.00    -0.07       0.00     0.13
    26   3.9644      0.00    -0.03       0.00    -0.11
    27   3.9644      0.00     0.11       0.00     0.04
    28   3.9645      0.00    -0.02       0.00    -0.04
    29   4.0218      0.00     0.06       0.00    -0.09
    30   5.1029      0.00    -0.10       0.00    -0.11

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.

15TY360    quality flag:3

Type:         5:2EEE    5:2EEE    5:2EEE

axisobj        56.048    56.048    56.047
ecceobj         0.430     0.430     0.430
incobj          9.977     9.977     9.977
qmin           31.077    31.090    31.099
qmax           81.471    81.393    81.342
amean          55.463    55.462    55.462
amin           54.632    54.642    54.644
amax           56.576    56.530    56.525
emean           0.428     0.428     0.428
emin            0.416     0.417     0.417
emax            0.441     0.440     0.440
imean           9.131     9.128     9.130
imin            8.719     8.714     8.714
imax            9.468     9.475     9.493
excite_mean     0.456     0.457     0.457
fracstop        1.000     1.000     1.000
cjmean          2.965     2.965     2.965

libcent 0       180.2     180.5     180.6
libamp  0       123.8     116.8     114.6
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       173.1     165.9     164.5
kozaiamp        179.9     180.0     179.9