Orbit Fit and Astrometric record for 15GM58

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: 15GM58    
# Created Sat May  4 01:17:16 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     38 observations of     38
# Arc:   6.09y
# First observation: 2015/02/17
#  Last observation: 2021/03/20
# Chi-squared of fit:     9.33 DOF:     70 RMS:  0.09
# Min/Max residuals:    -0.22    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.518291E-05  2.229841E-02 -5.276484E-07 -4.032172E-04  2.331385E-02 -7.924135E-04
# Covariance matrix:
  1.5302E-13 -4.9380E-14 -7.2142E-16  3.6307E-16  8.0515E-14 -2.1297E-13
 -4.9380E-14  1.6841E-13  8.5700E-16 -2.5241E-15  6.8554E-14  1.2286E-12
 -7.2142E-16  8.5700E-16  5.8711E-14 -2.0756E-14 -1.8791E-16  6.9843E-15
  3.6307E-16 -2.5241E-15 -2.0756E-14  2.1111E-14 -1.3092E-15 -2.1084E-14
  8.0515E-14  6.8554E-14 -1.8791E-16 -1.3092E-15  1.3111E-13  5.9891E-13
 -2.1297E-13  1.2286E-12  6.9843E-15 -2.1084E-14  5.9891E-13  1.0252E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.686683 -156.056477    0.813262    0.026212   -0.555626  2457071.089318
# Heliocentric elements and errors
Epoch:              2457070.5000  =  2015/02/17
Mean Anomaly:          285.21934 +/-     0.047
Argument of Peri:      191.22801 +/-     0.062
Long of Asc Node:       92.37756 +/-     0.007
Inclination:             2.83048 +/-     0.000
Eccentricity:         0.05324583 +/-    0.0001
Semi-Major Axis:     43.95492703 +/-    0.0025
Time of Perihelion: 2479180.8968 +/-      15.8
Perihelion:          41.61451034 +/-    0.0066
Aphelion:            46.29534371 +/-    0.0067
Period (y)              291.4201 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -39.99993956 +/-    0.0006
Ecliptic Y          -16.87083336 +/-    0.0003
Ecliptic Z            2.01055628 +/-    0.0000
Ecliptic XDOT         0.00114200 +/-    0.0000
Ecliptic YDOT        -0.00236201 +/-    0.0000
Ecliptic ZDOT        -0.00005157 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.45877875 +/-    0.0006
Geocenter to KBO     42.89300550 +/-    0.0007
# Hcoef:  7.61

The following table shows the complete astrometric record for 15GM58. 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 (15GM58) followed by the observatory code and reference code for the source of the astrometry.

2015 02  17.58854  13 32 39.043  -06 47 27.71  24.0r 15GM58    568  C~2nva      
2015 02  17.62949  13 32 38.957  -06 47 27.10  23.9r 15GM58    568  C~2nva      
2015 02  20.62266  13 32 32.483  -06 46 39.61  23.9r 15GM58    568  C~2nva      
2015 03  18.56698  13 31 11.539  -06 37 40.54  24.1r 15GM58    568  C~2nva      
2015 03  18.60819  13 31 11.375  -06 37 39.59  24.2r 15GM58    568  C~2nva      
2015 03  18.61429  13 31 11.354  -06 37 39.40  23.9r 15GM58    568  C~2nva      
2015 03  20.57112  13 31 03.787  -06 36 51.77  23.8r 15GM58    568  C~2nva      
2015 04  11.50547  13 29 31.253  -06 27 29.48  23.7r 15GM58    568  C~2nva      
2015 04  13.36971  13 29 23.053  -06 26 41.11  24.1r 15GM58    568  C~2nva      
2015 04  13.41068  13 29 22.855  -06 26 40.00  23.8r 15GM58    568  C~2nva      
2015 04  13.51324  13 29 22.403  -06 26 37.43  23.9r 15GM58    568  C~2nva      
2015 04  19.41044  13 28 56.432  -06 24 06.12  23.8r 15GM58    568  C~2nva      
2015 04  19.52742  13 28 55.929  -06 24 03.40  23.9r 15GM58    568  C~2nva      
2015 05  18.33311  13 26 58.909  -06 13 16.72  24.1r 15GM58    568  C~2nva      
2015 06  20.28316  13 25 35.745  -06 06 52.34  24.0r 15GM58    568  C~2nva      
2015 06  20.32394  13 25 35.686  -06 06 52.10  24.1r 15GM58    568  C~2nva      
2015 06  22.32783  13 25 33.138  -06 06 44.94  24.1r 15GM58    568  C~2nva      
2015 07  14.28011  13 25 26.770  -06 07 38.15  24.5r 15GM58    568  C~2nva      
2015 07  20.27306  13 25 32.044  -06 08 34.69  24.0r 15GM58    568  C~2nva      
2016 02  04.57962  13 37 44.142  -07 19 23.03  24.2w 15GM58    568  C~2nva      
2016 03  11.54839  13 36 22.777  -07 09 42.93  24.3w 15GM58    568  C~2nva      
2016 03  11.55250  13 36 22.773  -07 09 43.05  24.3w 15GM58    568  C~2nva      
2016 03  12.47618  13 36 19.539  -07 09 22.19  24.1w 15GM58    568  C~2nva      
2016 04  03.43722  13 34 52.175  -07 00 24.23  24.1w 15GM58    568  C~2nva      
2016 04  09.41701  13 34 26.099  -06 57 49.93  24.2w 15GM58    568  C~2nva      
2016 05  02.31529  13 32 46.290  -06 48 21.75  24.0w 15GM58    568  C~2nva      
2016 05  06.32506  13 32 29.723  -06 46 51.26  24.2w 15GM58    568  C~2nva      
2016 05  28.29624  13 31 10.766  -06 40 01.18  24.4w 15GM58    568  C~2nva      
2016 05  28.30839  13 31 10.734  -06 40 01.11  24.4w 15GM58    568  C~2nva      
2016 05  29.31531  13 31 07.713  -06 39 46.45  24.2w 15GM58    568  C~2nva      
2016 06  04.37369  13 30 50.924  -06 38 27.27  24.1w 15GM58    568  C~2nva      
2016 06  27.28486  13 30 11.270  -06 36 00.00  24.4w 15GM58    568  C~2nva      
2016 06  27.34232  13 30 11.216  -06 35 59.82  24.2w 15GM58    568  C~2nva      
2016 07  07.28742  13 30 07.019  -06 36 16.29  24.3w 15GM58    568  C~2nva      
2016 07  07.33209  13 30 07.025  -06 36 16.53  24.0w 15GM58    568  C~2nva      
2017 03  29.47339  13 40 04.695  -07 32 14.21  23.6w 15GM58    568  C~2nva      
2021 03  20.448660 14 00 13.347  -09 32 24.95  23.3G 15GM58    G37  C~4iAL      
2021 03  20.497580 14 00 13.197  -09 32 24.17        15GM58    G37  C~4iAL      

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     0.01       0.00     0.05
     2   0.0001      0.00     0.02       0.00     0.04
     3   0.0083      0.00     0.03       0.00     0.03
     4   0.0793      0.00    -0.04       0.00     0.08
     5   0.0795      0.00    -0.09       0.00     0.03
     6   0.0795      0.00    -0.05       0.00     0.07
     7   0.0848      0.00     0.02       0.00    -0.00
     8   0.1449      0.00    -0.01       0.00    -0.04
     9   0.1500      0.00     0.04       0.00     0.00
    10   0.1501      0.00    -0.17       0.00     0.05
    11   0.1504      0.00    -0.05       0.00    -0.03
    12   0.1665      0.00     0.03       0.00     0.08
    13   0.1668      0.00     0.33       0.00    -0.18
    14   0.2457      0.00    -0.07       0.00     0.01
    15   0.3359      0.00    -0.01       0.00     0.00
    16   0.3360      0.00    -0.02       0.00     0.07
    17   0.3415      0.00    -0.05       0.00     0.03
    18   0.4016      0.00     0.03       0.00    -0.01
    19   0.4180      0.00     0.02       0.00     0.03
    20   0.9637      0.00     0.04       0.00    -0.03
    21   1.0622      0.00    -0.07       0.00     0.14
    22   1.0622      0.00     0.09       0.00    -0.08
    23   1.0647      0.00    -0.01       0.00     0.06
    24   1.1248      0.00    -0.05       0.00    -0.03
    25   1.1412      0.00    -0.04       0.00    -0.04
    26   1.2039      0.00     0.10       0.00    -0.01
    27   1.2149      0.00    -0.04       0.00    -0.02
    28   1.2750      0.00     0.02       0.00    -0.02
    29   1.2751      0.00     0.10       0.00    -0.13
    30   1.2778      0.00    -0.00       0.00    -0.10
    31   1.2944      0.00    -0.03       0.00    -0.01
    32   1.3571      0.00    -0.09       0.00     0.01
    33   1.3573      0.00    -0.12       0.00     0.14
    34   1.3845      0.00    -0.07       0.00     0.00
    35   1.3847      0.00     0.06       0.00    -0.06
    36   2.1106      0.00    -0.11       0.00    -0.13
    37   6.0859      0.00    -0.22       0.00     0.19
    38   6.0860      0.00     0.26       0.00    -0.10

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.

15GM58    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.551    43.551    43.551
ecceobj         0.054     0.054     0.054
incobj          2.830     2.830     2.830
qmin           40.834    40.836    40.833
qmax           47.044    47.049    47.033
amean          43.840    43.840    43.840
amin           43.498    43.500    43.497
amax           44.190    44.191    44.194
emean           0.048     0.048     0.048
emin            0.032     0.032     0.032
emax            0.065     0.065     0.065
imean           1.122     1.122     1.122
imin            0.328     0.328     0.328
imax            1.693     1.693     1.693
excite_mean     0.053     0.053     0.053
fracstop        1.000     1.000     1.000
cjmean          3.096     3.096     3.096

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       181.1     181.2     181.1
kozaiamp        180.0     180.0     180.0