Orbit Fit and Astrometric record for 10PO81

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: 10PO81    
# Created Mon Dec  6 02:10:56 2021
# Orbit generated from Bernstein formalism
# Fitting     52 observations of     52
# Arc:  35.02d
# First observation: 2010/08/15
#  Last observation: 2010/09/19
Preliminary a, adot, b, bdot, g, gdot:
   0.000018   0.078501   0.000084  -0.046951   0.058041   0.000000
# Chi-squared of fit:   140.57 DOF:     98 RMS:  0.29
# Min/Max residuals:    -1.20    0.63
# Exact a, adot, b, bdot, g, gdot:
  2.066157E-05  7.336065E-02 -1.516978E-05 -4.651270E-02  5.585953E-02  3.597691E-02
# Covariance matrix:
  1.3939E-12 -6.2587E-11 -7.1749E-15 -1.9834E-11 -1.1496E-11  2.9163E-10
 -6.2587E-11  8.2211E-09  5.5342E-11  1.6861E-09  2.3074E-09  9.4342E-08
 -7.1749E-15  5.5342E-11  1.4182E-12 -5.2956E-12  1.9782E-11  1.5836E-09
 -1.9834E-11  1.6861E-09 -5.2956E-12  6.5556E-10  3.8436E-10 -2.4189E-09
 -1.1496E-11  2.3074E-09  1.9782E-11  3.8436E-10  7.0016E-10  3.7105E-08
  2.9163E-10  9.4342E-08  1.5836E-09 -2.4189E-09  3.7105E-08  3.4844E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
  -16.441227   32.013332    0.945158   -0.099610   -0.337416  2455424.086846
# Heliocentric elements and errors
Epoch:              2455420.5000  =  2010/08/12
Mean Anomaly:           27.29249 +/-     1.177
Argument of Peri:      139.28978 +/-     0.842
Long of Asc Node:      185.53703 +/-     0.048
Inclination:            36.03999 +/-     0.052
Eccentricity:         0.44962171 +/-    0.0237
Semi-Major Axis:     26.61147939 +/-    0.7541
Time of Perihelion: 2451619.1085 +/-      27.5
Perihelion:          14.64638041 +/-    0.7561
Aphelion:            38.57657837 +/-    1.2627
Period (y)              137.2814 +/-      5.84
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           15.36217619 +/-    0.0069
Ecliptic Y            8.48589272 +/-    0.0043
Ecliptic Z           -5.06708364 +/-    0.0024
Ecliptic XDOT        -0.00101836 +/-    0.0001
Ecliptic YDOT         0.00360961 +/-    0.0000
Ecliptic ZDOT        -0.00268562 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   18.26696935 +/-    0.0062
Geocenter to KBO     17.90204689 +/-    0.0085
# Hcoef:  9.93

The following table shows the complete astrometric record for 10PO81. 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 (10PO81) followed by the observatory code and reference code for the source of the astrometry.

2010 08  15.58608  02 21 48.566  -03 17 32.41  20.8i 10PO81    F51  C~1w3i      
2010 09  03.60004  02 21 11.458  -03 46 06.22  22.7z 10PO81    F51  C~1w3i      
2010 09  05.59611  02 21 03.498  -03 49 17.68  22.2i 10PO81    F51  C~1w3i      
2010 09  05.59913  02 21 03.499  -03 49 17.63  22.5i 10PO81    F51  C~1w3i      
2010 09  06.55736  02 20 59.433  -03 50 50.06  22.2z 10PO81    F51  C~1w3i      
2010 09  06.56028  02 20 59.437  -03 50 50.66  22.2z 10PO81    F51  C~1w3i      
2010 09  06.56912  02 20 59.378  -03 50 51.69  22.4z 10PO81    F51  C~1w3i      
2010 09  07.59266  02 20 54.839  -03 52 30.06  23.1g 10PO81    F51  C~1w3i      
2010 09  08.54991  02 20 50.444  -03 54 03.21  22.3i 10PO81    F51  C~1w3i      
2010 09  08.55291  02 20 50.443  -03 54 03.42  22.6i 10PO81    F51  C~1w3i      
2010 09  09.61102  02 20 45.367  -03 55 46.50  22.0z 10PO81    F51  C~1w3i      
2010 09  09.61696  02 20 45.338  -03 55 47.17  22.4z 10PO81    F51  C~1w3i      
2010 09  09.61990  02 20 45.317  -03 55 47.29  22.3z 10PO81    F51  C~1w3i      
2010 09  10.58652  02 20 40.537  -03 57 21.73  22.8r 10PO81    F51  C~1w3i      
2010 09  10.58950  02 20 40.523  -03 57 22.14  23.0r 10PO81    F51  C~1w3i      
2010 09  10.59395  02 20 40.513  -03 57 22.38  23.0r 10PO81    F51  C~1w3i      
2010 09  13.56429  02 20 24.813  -04 02 14.58  22.6r 10PO81    F51  C~1w3i      
2010 09  13.56583  02 20 24.802  -04 02 14.84  22.7r 10PO81    F51  C~1w3i      
2010 09  13.56728  02 20 24.766  -04 02 14.76  22.8r 10PO81    F51  C~1w3i      
2010 09  13.56872  02 20 24.783  -04 02 14.85  22.8r 10PO81    F51  C~1w3i      
2010 09  13.57172  02 20 24.754  -04 02 15.33  22.7r 10PO81    F51  C~1w3i      
2010 09  13.58026  02 20 24.716  -04 02 15.69  23.1g 10PO81    F51  C~1w3i      
2010 09  14.56789  02 20 19.164  -04 03 53.45  22.3i 10PO81    F51  C~1w3i      
2010 09  14.57382  02 20 19.134  -04 03 54.08  22.8i 10PO81    F51  C~1w3i      
2010 09  14.57674  02 20 19.113  -04 03 54.01  22.5i 10PO81    F51  C~1w3i      
2010 09  15.56405  02 20 13.432  -04 05 31.78  22.5z 10PO81    F51  C~1w3i      
2010 09  15.56706  02 20 13.405  -04 05 32.30  22.6z 10PO81    F51  C~1w3i      
2010 09  15.57293  02 20 13.359  -04 05 32.63  22.4z 10PO81    F51  C~1w3i      
2010 09  15.57594  02 20 13.341  -04 05 32.84  22.5z 10PO81    F51  C~1w3i      
2010 09  16.56791  02 20 07.462  -04 07 11.10  23.4g 10PO81    F51  C~1w3i      
2010 09  16.58362  02 20 07.371  -04 07 12.68  22.8r 10PO81    F51  C~1w3i      
2010 09  16.58516  02 20 07.343  -04 07 12.73  22.9r 10PO81    F51  C~1w3i      
2010 09  16.58806  02 20 07.332  -04 07 12.98  23.2r 10PO81    F51  C~1w3i      
2010 09  16.59104  02 20 07.316  -04 07 13.14  23.0r 10PO81    F51  C~1w3i      
2010 09  17.56845  02 20 01.365  -04 08 50.03  22.4i 10PO81    F51  C~1w3i      
2010 09  17.57146  02 20 01.343  -04 08 50.16  22.3i 10PO81    F51  C~1w3i      
2010 09  17.57438  02 20 01.322  -04 08 50.42  22.2i 10PO81    F51  C~1w3i      
2010 09  17.57731  02 20 01.310  -04 08 50.71  22.5i 10PO81    F51  C~1w3i      
2010 09  17.58032  02 20 01.285  -04 08 51.23  22.7i 10PO81    F51  C~1w3i      
2010 09  17.58324  02 20 01.262  -04 08 51.44  22.6i 10PO81    F51  C~1w3i      
2010 09  17.58617  02 20 01.255  -04 08 51.56  22.3i 10PO81    F51  C~1w3i      
2010 09  17.58910  02 20 01.234  -04 08 51.96  22.4i 10PO81    F51  C~1w3i      
2010 09  18.57988  02 19 55.051  -04 10 30.00  22.1z 10PO81    F51  C~1w3i      
2010 09  18.58289  02 19 55.046  -04 10 30.56  22.0z 10PO81    F51  C~1w3i      
2010 09  18.58874  02 19 54.995  -04 10 31.16  22.0z 10PO81    F51  C~1w3i      
2010 09  18.59169  02 19 54.952  -04 10 31.32  22.0z 10PO81    F51  C~1w3i      
2010 09  18.60059  02 19 54.896  -04 10 32.11  22.1z 10PO81    F51  C~1w3i      
2010 09  19.59127  02 19 48.538  -04 12 10.35  23.3g 10PO81    F51  C~1w3i      
2010 09  19.59991  02 19 48.498  -04 12 10.88  22.2r 10PO81    F51  C~1w3i      
2010 09  19.60136  02 19 48.498  -04 12 10.91  22.5r 10PO81    F51  C~1w3i      
2010 09  19.60434  02 19 48.453  -04 12 11.78  22.6r 10PO81    F51  C~1w3i      
2010 09  19.60582  02 19 48.481  -04 12 11.41  22.6r 10PO81    F51  C~1w3i      

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     0.41
     2   0.0521  -1101.81     0.21   -1425.48    -1.20
     3   0.0575  -1278.61    -0.26   -1565.47    -0.76
     4   0.0575  -1278.58     0.06   -1565.43    -0.51
     5   0.0602  -1367.08    -0.06   -1631.90    -0.31
     6   0.0602  -1367.22     0.07   -1632.48    -0.70
     7   0.0602  -1368.40    -0.25   -1633.15    -0.76
     8   0.0630  -1465.56    -0.10   -1702.82     0.12
     9   0.0656  -1558.93    -0.15   -1768.30     0.11
    10   0.0656  -1559.02     0.07   -1768.50     0.12
    11   0.0685  -1665.33    -0.05   -1839.89     0.33
    12   0.0685  -1665.97    -0.06   -1840.38     0.24
    13   0.0685  -1666.30    -0.09   -1840.38     0.43
    14   0.0712  -1765.53    -0.03   -1905.15     0.55
    15   0.0712  -1765.86    -0.05   -1905.46     0.43
    16   0.0712  -1766.09     0.20   -1905.64     0.54
    17   0.0793  -2085.90     0.11   -2101.44     0.17
    18   0.0793  -2086.14     0.04   -2101.63     0.08
    19   0.0793  -2086.62    -0.27   -2101.37     0.43
    20   0.0794  -2086.42     0.10   -2101.55     0.35
    21   0.0794  -2086.99    -0.13   -2101.85     0.24
    22   0.0794  -2087.64     0.19   -2102.00     0.63
    23   0.0821  -2198.85    -0.03   -2166.01     0.26
    24   0.0821  -2199.49     0.03   -2166.45     0.20
    25   0.0821  -2199.76     0.09   -2166.28     0.55
    26   0.0848  -2312.79     0.29   -2229.65     0.10
    27   0.0848  -2313.35     0.09   -2230.00    -0.06
    28   0.0848  -2314.10     0.02   -2230.08     0.22
    29   0.0848  -2314.43     0.06   -2230.19     0.31
    30   0.0876  -2430.41     0.09   -2293.02    -0.04
    31   0.0876  -2432.22     0.17   -2294.05    -0.10
    32   0.0876  -2432.64    -0.05   -2293.96     0.09
    33   0.0876  -2432.88     0.06   -2294.14     0.09
    34   0.0876  -2433.15     0.14   -2294.21     0.21
    35   0.0903  -2549.68     0.06   -2355.40    -0.11
    36   0.0903  -2550.04     0.07   -2355.41     0.06
    37   0.0903  -2550.42     0.05   -2355.55     0.10
    38   0.0903  -2550.69     0.14   -2355.76     0.06
    39   0.0903  -2551.22    -0.02   -2356.13    -0.12
    40   0.0903  -2551.61    -0.05   -2356.21    -0.02
    41   0.0903  -2551.75     0.17   -2356.29     0.08
    42   0.0904  -2552.18     0.10   -2356.56    -0.01
    43   0.0931  -2672.37     0.14   -2417.67    -0.17
    44   0.0931  -2672.62     0.26   -2418.17    -0.49
    45   0.0931  -2673.55     0.07   -2418.47    -0.45
    46   0.0931  -2674.21    -0.22   -2418.41    -0.21
    47   0.0931  -2675.26    -0.16   -2418.87    -0.13
    48   0.0958  -2797.97    -0.54   -2479.29    -0.37
    49   0.0959  -2798.72    -0.18   -2479.59    -0.16
    50   0.0959  -2798.73    -0.01   -2479.62    -0.10
    51   0.0959  -2799.65    -0.56   -2480.21    -0.51
    52   0.0959  -2799.14     0.15   -2480.00    -0.22

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.

10PO81    quality flag:1

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        26.597    32.921    22.852
ecceobj         0.450     0.566     0.347
incobj         36.043    35.869    36.225
qmin           13.864    13.415    14.661
qmax           39.239    53.461    30.789
amean          26.316    32.852    22.592
amin           25.714    31.885    22.350
amax           26.754    33.770    22.940
emean           0.462     0.573     0.312
emin            0.442     0.498     0.264
emax            0.475     0.594     0.350
imean          35.020    34.860    37.489
imin           34.522    33.550    35.927
imax           35.758    38.989    38.597
excite_mean     0.737     0.810     0.685
fracstop        0.032     0.081     0.050
cjmean          2.509     2.330     2.641

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       182.4     195.3     193.4
kozaiamp         42.0      47.1      60.9