Orbit Fit and Astrometric record for 15GX57

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: 15GX57    
# Created Mon Dec  6 02:13:18 2021
# Orbit generated from Bernstein formalism
# Fitting     31 observations of     31
# Arc:   2.11y
# First observation: 2015/02/17
#  Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000150   0.025536   0.000006   0.006331   0.025160   0.000000
# Chi-squared of fit:     7.55 DOF:     56 RMS:  0.09
# Min/Max residuals:    -0.20    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.583819E-05  2.548795E-02  3.727348E-06  6.336650E-03  2.529674E-02  4.112890E-03
# Covariance matrix:
  1.9158E-13 -5.1950E-15 -6.2978E-15  2.3845E-14  1.5326E-13  2.0978E-12
 -5.1950E-15  3.5063E-13 -2.0783E-14  9.4213E-14  2.3327E-13  8.2738E-12
 -6.2978E-15 -2.0783E-14  1.0858E-13 -9.2750E-14 -1.9933E-14 -7.5270E-13
  2.3845E-14  9.4213E-14 -9.2750E-14  1.5865E-13  8.4377E-14  3.4710E-12
  1.5326E-13  2.3327E-13 -1.9933E-14  8.4377E-14  3.2876E-13  7.4147E-12
  2.0978E-12  8.2738E-12 -7.5270E-13  3.4710E-12  7.4147E-12  3.0478E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.326158 -157.897942    0.795137    0.033900   -0.580871  2457071.072988
# Heliocentric elements and errors
Epoch:              2457070.5000  =  2015/02/17
Mean Anomaly:           39.42767 +/-     0.063
Argument of Peri:      317.73953 +/-     0.124
Long of Asc Node:      188.02168 +/-     0.001
Inclination:            14.34241 +/-     0.001
Eccentricity:         0.18532633 +/-    0.0006
Semi-Major Axis:     45.89913004 +/-    0.0112
Time of Perihelion: 2444630.9757 +/-      19.3
Perihelion:          37.39281292 +/-    0.0295
Aphelion:            54.40544717 +/-    0.0310
Period (y)              310.9674 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -37.40522492 +/-    0.0008
Ecliptic Y          -14.33089998 +/-    0.0003
Ecliptic Z            2.29371673 +/-    0.0001
Ecliptic XDOT         0.00065941 +/-    0.0000
Ecliptic YDOT        -0.00271364 +/-    0.0000
Ecliptic ZDOT         0.00071058 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.12214703 +/-    0.0008
Geocenter to KBO     39.53078276 +/-    0.0009
# Hcoef:  8.58

The following table shows the complete astrometric record for 15GX57. 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 (15GX57) followed by the observatory code and reference code for the source of the astrometry.

2015 02  17.57221  13 26 43.160  -05 31 09.76  24.5r 15GX57    568  C~2nvX      
2015 02  17.61316  13 26 43.072  -05 31 08.91  24.8r 15GX57    568  C~2nvX      
2015 02  20.60593  13 26 36.110  -05 30 02.43  24.7r 15GX57    568  C~2nvX      
2015 03  18.55062  13 25 09.731  -05 18 15.67  24.6r 15GX57    568  C~2nvX      
2015 03  18.59161  13 25 09.558  -05 18 14.57  24.3r 15GX57    568  C~2nvX      
2015 03  20.55443  13 25 01.496  -05 17 14.03  24.5r 15GX57    568  C~2nvY      
2015 04  11.48904  13 23 23.833  -05 05 37.81  24.5r 15GX57    568  C~2nvY      
2015 04  13.35330  13 23 15.237  -05 04 38.82  24.2r 15GX57    568  C~2nvY      
2015 04  13.39426  13 23 15.042  -05 04 37.45  24.4r 15GX57    568  C~2nvY      
2015 04  13.46376  13 23 14.719  -05 04 35.17  25.0r 15GX57    568  C~2nvY      
2015 04  13.46849  13 23 14.696  -05 04 35.20  24.3r 15GX57    568  C~2nvY      
2015 04  19.39411  13 22 47.400  -05 01 30.50  24.4r 15GX57    568  C~2nvY      
2015 04  19.50579  13 22 46.859  -05 01 27.07  24.2r 15GX57    568  C~2nvY      
2015 06  20.26671  13 19 25.287  -04 40 38.79  25.0r 15GX57    568  C~2nvY      
2015 06  20.30767  13 19 25.237  -04 40 38.64  24.9r 15GX57    568  C~2nvY      
2015 07  14.26266  13 19 22.643  -04 41 02.51  24.5r 15GX57    568  C~2nvY      
2016 02  04.54302  13 33 01.741  -05 47 16.11  25.1w 15GX57    568  C~2nvY      
2016 02  10.53099  13 32 54.770  -05 45 38.72  24.7w 15GX57    568  C~2nvY      
2016 03  11.52813  13 31 35.659  -05 33 40.85  24.9w 15GX57    568  C~2nvY      
2016 04  03.41700  13 30 00.316  -05 21 57.18  24.7w 15GX57    568  C~2nvY      
2016 04  09.39673  13 29 33.006  -05 18 48.10  24.6w 15GX57    568  C~2nvY      
2016 05  01.34835  13 27 53.341  -05 07 49.55  25.2w 15GX57    568  C~2nvY      
2016 05  01.39731  13 27 53.133  -05 07 48.24  25.0w 15GX57    568  C~2nvY      
2016 05  02.29095  13 27 49.268  -05 07 23.56  24.7w 15GX57    568  C~2nvY      
2016 05  06.30070  13 27 32.215  -05 05 35.82  24.7w 15GX57    568  C~2nvY      
2016 05  28.26386  13 26 12.021  -04 57 30.97  24.7w 15GX57    568  C~2nvY      
2016 06  04.34531  13 25 52.349  -04 55 39.71  24.9w 15GX57    568  C~2nvY      
2016 06  27.27676  13 25 15.467  -04 52 38.71  25.0w 15GX57    568  C~2nvY      
2016 07  06.31265  13 25 13.303  -04 52 46.54  24.9w 15GX57    568  C~2nvY      
2017 03  28.57906  13 36 27.723  -05 37 15.25        15GX57    568  C~2nvY      
2017 03  29.44051  13 36 23.972  -05 36 48.74  24.6w 15GX57    568  C~2nvY      

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     0.05
     2   0.0001     -1.54     0.11       0.30     0.05
     3   0.0083   -122.71    -0.03      23.57     0.02
     4   0.0793  -1582.74    -0.04     201.98     0.07
     5   0.0795  -1585.55    -0.03     202.04    -0.09
     6   0.0848  -1719.84    -0.07     213.61     0.02
     7   0.1449  -3333.23    -0.07     318.53    -0.11
     8   0.1500  -3474.42     0.00     325.58    -0.04
     9   0.1501  -3477.64    -0.06     325.77     0.02
    10   0.1503  -3482.97    -0.03     326.10     0.13
    11   0.1503  -3483.27     0.02     325.94    -0.04
    12   0.1665  -3930.70     0.11     345.85     0.07
    13   0.1668  -3939.48    -0.15     346.02    -0.04
    14   0.3359  -7202.84     0.07     382.96    -0.00
    15   0.3360  -7203.59     0.12     382.82    -0.07
    16   0.4016  -7230.70    -0.01     346.19    -0.01
    17   0.9636   5610.30     0.11    1187.48     0.04
    18   0.9800   5477.64     0.07    1239.80    -0.04
    19   1.0622   4114.68    -0.19    1472.59    -0.10
    20   1.1248   2531.44     0.03    1601.75     0.02
    21   1.1412   2082.51     0.05    1626.92    -0.07
    22   1.2013    455.64    -0.05    1688.72    -0.03
    23   1.2014    452.27     0.09    1688.79    -0.02
    24   1.2039    389.49     0.06    1690.36     0.01
    25   1.2149    112.92     0.04    1696.22     0.09
    26   1.2750  -1179.78     0.07    1703.02     0.05
    27   1.2944  -1494.08    -0.06    1697.44     0.11
    28   1.3572  -2073.17    -0.20    1661.24     0.04
    29   1.3819  -2100.31     0.07    1641.97    -0.20
    30   2.1082   8252.97     0.07    2876.54     0.24
    31   2.1105   8191.05    -0.11    2880.68    -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.

15GX57    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.430    45.464    45.396
ecceobj         0.179     0.180     0.177
incobj         14.404    14.404    14.404
qmin           36.621    36.537    36.708
qmax           55.242    55.276    55.045
amean          45.696    45.739    45.651
amin           45.305    45.345    45.259
amax           46.169    46.204    46.114
emean           0.181     0.182     0.179
emin            0.168     0.167     0.165
emax            0.197     0.198     0.194
imean          14.542    14.537    14.539
imin           14.024    14.036    14.036
imax           15.072    15.109    15.065
excite_mean     0.309     0.310     0.308
fracstop        1.000     1.000     1.000
cjmean          3.004     3.004     3.004

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       177.5     175.1     177.7
kozaiamp        180.0     180.0     180.0