Orbit Fit and Astrometric record for 15GZ56

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: 15GZ56    
# Created Wed May  8 01:17:04 2024
# Orbit generated from Bernstein formalism
# Fitting     39 observations of     39
# Arc:   2.10y
# First observation: 2015/02/20
#  Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000136   0.020770   0.000001  -0.000189   0.022339   0.000000
# Chi-squared of fit:     4.41 DOF:     72 RMS:  0.06
# Min/Max residuals:    -0.21    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.450212E-05  2.069550E-02  2.495467E-07 -1.883373E-04  2.244593E-02  1.675877E-03
# Covariance matrix:
  1.8717E-13 -2.8422E-14 -6.9183E-17 -6.1106E-16  1.3365E-13  2.2226E-12
 -2.8422E-14  2.2661E-13  2.0616E-16 -1.7665E-15  1.2408E-13  5.9904E-12
 -6.9183E-17  2.0616E-16  9.0939E-14 -7.2723E-14  4.2775E-17  9.4281E-15
 -6.1106E-16 -1.7665E-15 -7.2723E-14  9.9015E-14 -1.7151E-15 -8.2920E-14
  1.3365E-13  1.2408E-13  4.2775E-17 -1.7151E-15  2.2210E-13  5.9846E-12
  2.2226E-12  5.9904E-12  9.4281E-15 -8.2920E-14  5.9846E-12  2.8145E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.551702 -154.521364    0.800058    0.005693   -0.576015  2457073.975038
# Heliocentric elements and errors
Epoch:              2457070.5000  =  2015/02/17
Mean Anomaly:          102.11735 +/-     0.251
Argument of Peri:       23.50093 +/-     0.244
Long of Asc Node:       71.39910 +/-     0.048
Inclination:             0.74532 +/-     0.001
Eccentricity:         0.06768891 +/-    0.0007
Semi-Major Axis:     44.31734427 +/-    0.0052
Time of Perihelion: 2426503.2717 +/-      75.1
Perihelion:          41.31755145 +/-    0.0331
Aphelion:            47.31713710 +/-    0.0332
Period (y)              295.0318 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -41.08376658 +/-    0.0008
Ecliptic Y          -18.68958940 +/-    0.0004
Ecliptic Z            0.42898692 +/-    0.0000
Ecliptic XDOT         0.00089755 +/-    0.0000
Ecliptic YDOT        -0.00237245 +/-    0.0000
Ecliptic ZDOT        -0.00002091 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.13713169 +/-    0.0008
Geocenter to KBO     44.55151569 +/-    0.0009
# Hcoef:  6.95

The following table shows the complete astrometric record for 15GZ56. 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 (15GZ56) followed by the observatory code and reference code for the source of the astrometry.

2015 02  20.47426  13 35 16.455  -09 20 19.53  23.4r 15GZ56    568  C~2nvU      
2015 03  18.47063  13 33 58.557  -09 12 36.94  23.3r 15GZ56    568  C~2nvU      
2015 03  18.47537  13 33 58.550  -09 12 36.87  23.3r 15GZ56    568  C~2nvU      
2015 03  18.52182  13 33 58.364  -09 12 35.88  23.5r 15GZ56    568  C~2nvU      
2015 03  20.52388  13 33 50.883  -09 11 51.68  22.8r 15GZ56    568  C~2nvU      
2015 04  11.41445  13 32 21.345  -09 03 08.91  22.9r 15GZ56    568  C~2nvU      
2015 04  12.36711  13 32 17.253  -09 02 45.18  23.4r 15GZ56    568  C~2nvU      
2015 04  12.40803  13 32 17.067  -09 02 44.12  23.4r 15GZ56    568  C~2nvU      
2015 04  12.45503  13 32 16.867  -09 02 42.96  23.5r 15GZ56    568  C~2nvU      
2015 04  14.46499  13 32 08.250  -09 01 52.90  23.1r 15GZ56    568  C~2nvU      
2015 04  18.42564  13 31 51.255  -09 00 14.24  23.2r 15GZ56    568  C~2nvU      
2015 04  18.47335  13 31 51.042  -09 00 13.07  23.4r 15GZ56    568  C~2nvU      
2015 05  16.27210  13 29 59.274  -08 49 29.32  23.3r 15GZ56    568  C~2nvU      
2015 05  25.37637  13 29 28.706  -08 46 35.50  23.4r 15GZ56    568  C~2nvU      
2015 05  25.43418  13 29 28.522  -08 46 34.50  23.4r 15GZ56    568  C~2nvU      
2015 06  21.32593  13 28 27.684  -08 40 57.30  23.6r 15GZ56    568  C~2nvU      
2015 06  22.28249  13 28 26.467  -08 40 50.95  23.6r 15GZ56    568  C~2nvU      
2015 07  12.27649  13 28 17.492  -08 40 15.71  23.5r 15GZ56    568  C~2nvU      
2015 07  15.26670  13 28 18.928  -08 40 26.83  23.8r 15GZ56    568  C~2nvU      
2015 07  19.26636  13 28 21.988  -08 40 48.50  23.5r 15GZ56    568  C~2nvU      
2016 02  04.60217  13 40 07.983  -09 49 06.75  24.0w 15GZ56    568  C~2nvU      
2016 02  10.62117  13 40 01.694  -09 48 27.03  23.8w 15GZ56    568  C~2nvU      
2016 02  11.58525  13 40 00.409  -09 48 19.14  23.8w 15GZ56    568  C~2nvU      
2016 03  11.58783  13 38 49.916  -09 41 21.17  23.8w 15GZ56    568  C~2nvU      
2016 03  11.63454  13 38 49.754  -09 41 20.33  23.8w 15GZ56    568  C~2nvU      
2016 03  12.48427  13 38 46.907  -09 41 03.50  23.7w 15GZ56    568  C~2nvU      
2016 04  03.46148  13 37 22.366  -09 32 53.51  23.5w 15GZ56    568  C~2nvU      
2016 04  09.44264  13 36 57.076  -09 30 27.82  23.7w 15GZ56    568  C~2nvU      
2016 05  02.35991  13 35 19.893  -09 21 11.15  23.7w 15GZ56    568  C~2nvU      
2016 05  07.36327  13 34 59.798  -09 19 16.69  23.7w 15GZ56    568  C~2nvU      
2016 05  28.31243  13 33 46.371  -09 12 22.29  24.0w 15GZ56    568  C~2nvU      
2016 05  29.31935  13 33 43.402  -09 12 05.67  23.8w 15GZ56    568  C~2nvU      
2016 06  04.38178  13 33 26.761  -09 10 33.28  23.8w 15GZ56    568  C~2nvU      
2016 06  27.30147  13 32 46.757  -09 06 58.68  23.8w 15GZ56    568  C~2nvU      
2016 06  27.30677  13 32 46.751  -09 06 58.67  23.9w 15GZ56    568  C~2nvU      
2016 07  07.30364  13 32 41.858  -09 06 38.88  23.9w 15GZ56    568  C~2nvU      
2017 02  24.65166  13 44 02.712  -10 11 50.97        15GZ56    568  C~2nvU      
2017 03  29.48748  13 42 14.393  -10 01 26.09  23.8w 15GZ56    568  C~2nvU      
2017 03  29.50900  13 42 14.305  -10 01 25.57  23.8w 15GZ56    568  C~2nvU      

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    -0.08
     2   0.0712  -1242.49     0.01      10.64     0.01
     3   0.0712  -1242.61     0.18      10.67     0.04
     4   0.0713  -1245.53     0.04      10.58    -0.03
     5   0.0768  -1364.80     0.05      11.33     0.21
     6   0.1367  -2790.34     0.12      13.51     0.02
     7   0.1393  -2855.45    -0.09      13.42    -0.05
     8   0.1394  -2858.41    -0.21      13.40    -0.05
     9   0.1396  -2861.59    -0.13      13.39    -0.03
    10   0.1451  -2998.73    -0.02      13.27    -0.02
    11   0.1559  -3269.21    -0.01      12.93     0.04
    12   0.1561  -3272.57    -0.07      12.86     0.00
    13   0.2322  -5050.26     0.11       4.37     0.02
    14   0.2571  -5535.87     0.03      -0.47     0.00
    15   0.2572  -5538.78     0.04      -0.55    -0.02
    16   0.3309  -6502.40     0.01     -18.89     0.01
    17   0.3335  -6521.53     0.02     -19.63    -0.00
    18   0.3882  -6658.38    -0.03     -35.89    -0.01
    19   0.3964  -6634.46    -0.00     -38.39    -0.01
    20   0.4074  -6584.24    -0.03     -41.82    -0.12
    21   0.9559   4645.55    -0.00     -47.74     0.06
    22   0.9723   4544.47    -0.02     -44.22     0.04
    23   0.9750   4523.90    -0.03     -43.71    -0.01
    24   1.0544   3400.74    -0.05     -30.27     0.02
    25   1.0545   3398.20    -0.05     -30.36    -0.07
    26   1.0568   3352.86     0.08     -29.89     0.08
    27   1.1170   2009.75    -0.02     -25.79    -0.03
    28   1.1334   1608.24     0.01     -25.69    -0.02
    29   1.1961     66.18     0.05     -29.56    -0.02
    30   1.2098   -252.51     0.00     -31.22     0.07
    31   1.2672  -1415.84    -0.04     -41.55    -0.01
    32   1.2699  -1462.83     0.06     -42.12     0.04
    33   1.2865  -1725.98    -0.07     -46.05    -0.03
    34   1.3493  -2355.93     0.02     -62.71     0.02
    35   1.3493  -2356.01     0.01     -62.74     0.00
    36   1.3767  -2430.71    -0.02     -70.81    -0.05
    37   2.0128   8375.33    -0.05     -75.27    -0.01
    38   2.1027   6655.79     0.04     -65.35    -0.01
    39   2.1028   6654.39     0.04     -65.34     0.01

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.

15GZ56    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.911    43.927    43.895
ecceobj         0.069     0.071     0.068
incobj          0.746     0.746     0.746
qmin           40.033    40.009    40.094
qmax           48.584    48.669    48.461
amean          44.184    44.199    44.167
amin           43.826    43.842    43.812
amax           44.562    44.566    44.541
emean           0.074     0.076     0.073
emin            0.058     0.060     0.057
emax            0.091     0.092     0.089
imean           1.063     1.063     1.067
imin            0.198     0.196     0.205
imax            1.683     1.682     1.683
excite_mean     0.077     0.079     0.076
fracstop        1.000     1.000     1.000
cjmean          3.096     3.096     3.097

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       190.9     191.7     192.6
kozaiamp        180.0     180.0     180.0