Orbit Fit and Astrometric record for 04OS15

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: 04OS15    
# Created Sat Nov 27 02:10:06 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:  15.12y
# First observation: 2004/07/22
#  Last observation: 2019/09/04
# Chi-squared of fit:    20.83 DOF:     36 RMS:  0.18
# Min/Max residuals:    -0.37    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.811224E-05  2.920165E-02 -2.655844E-06 -2.142632E-03  2.598125E-02 -3.893875E-03
# Covariance matrix:
  2.5206E-13 -1.5519E-13 -1.1362E-14  1.1633E-14  1.7722E-13 -3.1242E-13
 -1.5519E-13  1.4360E-13  1.0947E-14 -1.1185E-14 -1.5881E-13  3.0019E-13
 -1.1362E-14  1.0947E-14  1.0017E-13 -9.4422E-15 -1.2404E-14  2.3261E-14
  1.1633E-14 -1.1185E-14 -9.4422E-15  3.1580E-15  1.3133E-14 -2.3803E-14
  1.7722E-13 -1.5881E-13 -1.2404E-14  1.3133E-14  4.2163E-13 -3.5675E-13
 -3.1242E-13  3.0019E-13  2.3261E-14 -2.3803E-14 -3.5675E-13  6.3918E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.658340  -65.199539   -0.093442    0.011717   -1.014940  2453208.949903
# Heliocentric elements and errors
Epoch:              2453208.5000  =  2004/07/22
Mean Anomaly:          344.02325 +/-     0.008
Argument of Peri:      202.75670 +/-     0.014
Long of Asc Node:      123.59005 +/-     0.000
Inclination:             4.25318 +/-     0.000
Eccentricity:         0.31367797 +/-    0.0001
Semi-Major Axis:     55.53771636 +/-    0.0101
Time of Perihelion: 2459917.6312 +/-      39.6
Perihelion:          38.11675802 +/-    0.0087
Aphelion:            72.95867470 +/-    0.0143
Period (y)              413.8950 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           16.65077604 +/-    0.0004
Ecliptic Y          -35.81773416 +/-    0.0009
Ecliptic Z            0.44217107 +/-    0.0000
Ecliptic XDOT         0.00262028 +/-    0.0000
Ecliptic YDOT         0.00165388 +/-    0.0000
Ecliptic ZDOT        -0.00023037 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.50140377 +/-    0.0008
Geocenter to KBO     38.48941824 +/-    0.0010
# Hcoef:  7.22

The following table shows the complete astrometric record for 04OS15. 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 (04OS15) followed by the observatory code and reference code for the source of the astrometry.

2004 07  22.44916  19 46 25.34   -20 31 10.2   23.4g 04OS15    568  C~0X5X      
2004 07  22.47696  19 46 25.19   -20 31 10.6   23.3g 04OS15    568  C~0X5X      
2004 07  22.50053  19 46 25.08   -20 31 11.0   23.5g 04OS15    568  C~0X5X      
2004 07  23.40162  19 46 20.44   -20 31 24.1         04OS15    568  C~0X5X      
2004 09  11.26870  19 42 55.27   -20 41 24.0         04OS15    568  C~0X5X      
2004 09  11.31874  19 42 55.13   -20 41 24.5   23.2i 04OS15    568  C~0X5X      
2004 09  11.36527  19 42 55.02   -20 41 24.7   23.0i 04OS15    568  C~0X5X      
2005 07  09.34045  19 54 42.41   -20 16 34.7         04OS15    675  C~0X5X      
2005 07  09.39009  19 54 42.17   -20 16 35.6         04OS15    675  C~0X5X      
2005 08  03.31290  19 52 34.45   -20 22 53.5         04OS15    309  C~0X5X      
2005 09  26.15948  19 49 31.50   -20 32 33.8         04OS15    695  C~0X5X      
2005 09  26.22250  19 49 31.43   -20 32 34.1         04OS15    695  C~0X5X      
2006 07  26.24589  20 00 27.18   -20 08 27.6         04OS15    675  C~0X5X      
2006 07  26.28633  20 00 26.95   -20 08 28.3         04OS15    675  C~0X5X      
2007 05  16.41857  20 12 15.74   -19 39 29.3         04OS15    675  C~0X5X      
2007 05  16.45495  20 12 15.71   -19 39 29.4         04OS15    675  C~0X5X      
2008 06  07.31146  20 18 33.02   -19 27 23.1         04OS15    807  C~0X5X      
2008 06  07.38708  20 18 32.74   -19 27 23.7         04OS15    807  C~0X5X      
2019 09  04.193510 21 31 46.998  -15 59 26.76  23.0G 04OS15    G37  C~3cX7      
2019 09  04.265730 21 31 46.665  -15 59 28.67        04OS15    G37  C~3cX7      
2019 09  04.321210 21 31 46.408  -15 59 29.90        04OS15    G37  C~3cX7      

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    -0.13       0.00     0.26
     2   0.0001      0.00    -0.19       0.00     0.26
     3   0.0001      0.00     0.02       0.00     0.20
     4   0.0026      0.00    -0.07       0.00     0.12
     5   0.1391      0.00     0.11       0.00     0.11
     6   0.1393      0.00    -0.10       0.00     0.01
     7   0.1394      0.00    -0.01       0.00     0.17
     8   0.9634      0.00     0.11       0.00    -0.10
     9   0.9636      0.00     0.37       0.00    -0.25
    10   1.0318      0.00     0.02       0.00    -0.11
    11   1.1792      0.00    -0.17       0.00     0.04
    12   1.1794      0.00    -0.05       0.00     0.04
    13   2.0090      0.00     0.35       0.00    -0.27
    14   2.0091      0.00     0.07       0.00    -0.31
    15   2.8144      0.00    -0.17       0.00    -0.25
    16   2.8145      0.00     0.15       0.00    -0.17
    17   3.8764      0.00     0.11       0.00    -0.06
    18   3.8766      0.00    -0.37       0.00     0.21
    19  15.1177      0.00    -0.08       0.00     0.21
    20  15.1179      0.00    -0.00       0.00    -0.05
    21  15.1181      0.00     0.03       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.

04OS15    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        55.803    55.802    55.803
ecceobj         0.318     0.318     0.318
incobj          4.246     4.246     4.246
qmin           37.422    37.414    37.403
qmax           75.323    75.277    75.293
amean          55.871    55.873    55.873
amin           55.193    55.222    55.219
amax           56.667    56.652    56.674
emean           0.317     0.317     0.317
emin            0.305     0.305     0.305
emax            0.329     0.329     0.329
imean           2.844     2.845     2.843
imin            2.423     2.423     2.423
imax            3.316     3.319     3.313
excite_mean     0.321     0.321     0.321
fracstop        1.000     1.000     1.000
cjmean          3.119     3.119     3.119

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       178.0     177.9     178.1
kozaiamp        180.0     180.0     180.0