Orbit Fit and Astrometric record for 07FO51

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: 07FO51    
# Created Fri Dec  3 02:10:34 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     61 observations of     61
# Arc:  17.16y
# First observation: 2004/03/16
#  Last observation: 2021/05/12
# Chi-squared of fit:   160.89 DOF:    116 RMS:  0.29
# Min/Max residuals:    -0.94    0.74
# Exact a, adot, b, bdot, g, gdot:
  1.744942E-05  2.969766E-02 -2.466864E-06 -4.807905E-03  2.684380E-02 -5.127085E-03
# Covariance matrix:
  2.1095E-13 -4.6513E-14 -1.9010E-14  6.5313E-15  4.0970E-16 -6.7982E-14
 -4.6513E-14  1.4082E-14  6.3231E-15 -2.2781E-15 -2.3684E-15  2.3762E-14
 -1.9010E-14  6.3231E-15  1.0515E-13 -9.7555E-15  5.2432E-15  1.1049E-14
  6.5313E-15 -2.2781E-15 -9.7555E-15  1.3274E-15  5.8659E-16 -4.1271E-15
  4.0970E-16 -2.3684E-15  5.2432E-15  5.8659E-16  5.0339E-14 -7.2292E-15
 -6.7982E-14  2.3762E-14  1.1049E-14 -4.1271E-15 -7.2292E-15  4.3114E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   27.005067  153.364820   -0.384469    0.414811   -0.813843  2453080.884278
# Heliocentric elements and errors
Epoch:              2453080.5000  =  2004/03/16
Mean Anomaly:          337.77651 +/-     0.003
Argument of Peri:      149.49431 +/-     0.004
Long of Asc Node:       43.27324 +/-     0.000
Inclination:            27.93447 +/-     0.000
Eccentricity:         0.29416883 +/-    0.0000
Semi-Major Axis:     50.93540959 +/-    0.0026
Time of Perihelion: 2461277.1800 +/-       9.6
Perihelion:          35.95179957 +/-    0.0023
Aphelion:            65.91901960 +/-    0.0036
Period (y)              363.5280 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -30.66146553 +/-    0.0002
Ecliptic Y           14.94731486 +/-    0.0001
Ecliptic Z           16.91518894 +/-    0.0001
Ecliptic XDOT        -0.00114393 +/-    0.0000
Ecliptic YDOT        -0.00282332 +/-    0.0000
Ecliptic ZDOT        -0.00067420 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.07465369 +/-    0.0002
Geocenter to KBO     37.25270664 +/-    0.0003
# Hcoef:  7.15

The following table shows the complete astrometric record for 07FO51. 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 (07FO51) followed by the observatory code and reference code for the source of the astrometry.

2004 03  16.383535 11 07 27.53   +35 08 00.6   21.7V 07FO51    645  C~1RHm      
2004 03  16.384364 11 07 27.53   +35 08 00.6   21.6V 07FO51    645  C~1RHm      
2004 03  16.386852 11 07 27.51   +35 08 00.6   22.3V 07FO51    645  C~1RHm      
2007 03  21.40836  11 27 22.41   +32 02 27.0   23.0r 07FO51    568  C~1QdJ      
2007 03  21.44962  11 27 22.15   +32 02 28.1   22.5r 07FO51    568  C~1QdJ      
2007 03  21.49084  11 27 21.90   +32 02 28.7   23.1r 07FO51    568  C~1QdJ      
2007 05  15.26819  11 23 25.52   +31 53 15.4   22.5r 07FO51    695  C~1QdJ      
2007 05  16.17751  11 23 23.69   +31 52 43.0         07FO51    675  C~1QdJ      
2007 05  16.22810  11 23 23.59   +31 52 41.2         07FO51    675  C~1QdJ      
2007 05  16.24618  11 23 23.63   +31 52 41.2   22.6r 07FO51    695  C~1QdJ      
2007 05  16.32638  11 23 23.50   +31 52 37.1   22.9r 07FO51    695  C~1QdJ      
2007 05  17.26820  11 23 21.76   +31 52 03.7   22.5r 07FO51    695  C~1QdJ      
2008 03  04.54328  11 35 31.48   +30 50 03.2   23.0r 07FO51    568  C~1QdJ      
2008 03  04.55929  11 35 31.39   +30 50 03.7         07FO51    568  C~1QdK      
2008 03  04.57523  11 35 31.29   +30 50 04.2   22.8r 07FO51    568  C~1QdK      
2008 04  04.35277  11 32 33.86   +30 59 15.3   23.2r 07FO51    568  C~1QdK      
2008 04  05.29325  11 32 28.83   +30 59 18.6   23.0r 07FO51    568  C~1QdK      
2008 05  03.24626  11 30 25.64   +30 54 29.1         07FO51    695  C~1QdK      
2008 05  04.22328  11 30 22.43   +30 54 05.6         07FO51    695  C~1QdK      
2008 12  06.46452  11 45 31.06   +28 43 17.4   22.9R 07FO51    675  C~1QdK      
2008 12  06.54019  11 45 31.22   +28 43 19.0   22.9R 07FO51    675  C~1QdK      
2008 12  06.54339  11 45 31.22   +28 43 19.1   23.1R 07FO51    675  C~1QdK      
2008 12  21.45214  11 45 52.57   +28 50 59.4         07FO51    695  C~1QdK      
2008 12  21.52885  11 45 52.60   +28 51 02.1         07FO51    695  C~1QdK      
2008 12  22.48955  11 45 53.08   +28 51 36.6         07FO51    695  C~1QdK      
2014 12  25.60789  12 21 41.678  +21 36 00.52  23.6G 07FO51    F51  C~344N      
2015 01  24.67424  12 21 26.795  +21 53 17.52  22.2G 07FO51    F51  C~344N      
2015 03  15.53373  12 17 58.253  +22 25 55.79  22.5G 07FO51    F51  C~344N      
2015 04  13.29386  12 15 18.590  +22 35 49.84  22.4G 07FO51    F51  C~344N      
2015 04  13.30564  12 15 18.519  +22 35 50.05  23.1G 07FO51    F51  C~344N      
2015 04  13.31736  12 15 18.467  +22 35 49.85  22.5G 07FO51    F51  C~344N      
2015 04  13.32902  12 15 18.374  +22 35 50.21  22.8G 07FO51    F51  C~344N      
2016 02  04.44246  12 26 48.21   +20 42 14.3   22.6R 07FO51    G37  C~1lvQ      
2016 02  04.48323  12 26 48.078  +20 42 15.90  22.5G 07FO51    F51  C~344N      
2016 02  04.49637  12 26 48.05   +20 42 16.6         07FO51    G37  C~1lvQ      
2016 03  03.39669  12 24 52.521  +21 00 59.14  22.2G 07FO51    F51  C~344N      
2016 03  03.41104  12 24 52.398  +21 00 59.64  22.4G 07FO51    F51  C~344N      
2016 03  03.42544  12 24 52.369  +21 00 59.99  22.3G 07FO51    F51  C~344N      
2016 03  03.43993  12 24 52.250  +21 01 00.71  22.0G 07FO51    F51  C~344N      
2016 03  05.40716  12 24 42.247  +21 02 12.79  22.5G 07FO51    F51  C~344N      
2016 03  05.42007  12 24 42.164  +21 02 13.08  23.1G 07FO51    F51  C~344N      
2016 03  05.43308  12 24 42.099  +21 02 13.52  22.7G 07FO51    F51  C~344N      
2016 03  05.44621  12 24 42.047  +21 02 14.06  23.1G 07FO51    F51  C~344N      
2016 04  11.30636  12 21 19.800  +21 17 46.71  22.8G 07FO51    F51  C~344N      
2016 04  11.31797  12 21 19.729  +21 17 46.94  23.1G 07FO51    F51  C~344N      
2016 04  11.32967  12 21 19.651  +21 17 47.70  22.0G 07FO51    F51  C~344N      
2016 04  11.34146  12 21 19.629  +21 17 47.03  22.3G 07FO51    F51  C~344N      
2016 05  03.28839  12 19 33.164  +21 18 34.80  22.5G 07FO51    F51  C~344N      
2016 06  04.30353  12 18 01.107  +21 07 01.61  22.7G 07FO51    F51  C~344N      
2016 06  04.31731  12 18 01.077  +21 07 01.35  23.0G 07FO51    F51  C~344N      
2016 06  04.33124  12 18 01.045  +21 07 00.42  23.0G 07FO51    F51  C~344N      
2016 06  04.34508  12 18 01.057  +21 06 59.90  22.4G 07FO51    F51  C~344N      
2017 02  04.50879  12 32 31.133  +19 23 24.75  22.6G 07FO51    F51  C~344N      
2017 03  17.55279  12 29 28.622  +19 49 18.56  23.2G 07FO51    F51  C~344N      
2017 03  25.52220  12 28 44.558  +19 53 05.59  23.4G 07FO51    F51  C~344N      
2018 04  10.26936  12 33 05.251  +18 38 14.58  22.7R 07FO51    G37  C~2bGZ      
2018 04  10.34647  12 33 04.800  +18 38 15.85        07FO51    G37  C~2bGZ      
2018 04  10.43269  12 33 04.326  +18 38 17.39        07FO51    G37  C~2bGZ      
2021 05  12.180280 12 47 22.897  +14 36 24.66  22.8G 07FO51    G37  C~4pRr      
2021 05  12.232010 12 47 22.668  +14 36 24.12        07FO51    G37  C~4pRr      
2021 05  12.279030 12 47 22.471  +14 36 23.93        07FO51    G37  C~4pRr      

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    -0.03       0.00    -0.07
     2   0.0000      0.00     0.05       0.00    -0.08
     3   0.0000      0.00    -0.03       0.00    -0.12
     4   3.0117      0.00     0.56       0.00    -0.02
     5   3.0118      0.00     0.36       0.00     0.43
     6   3.0119      0.00     0.29       0.00     0.39
     7   3.1619      0.00     0.24       0.00     0.31
     8   3.1644      0.00    -0.81       0.00     0.07
     9   3.1645      0.00    -0.80       0.00     0.09
    10   3.1646      0.00     0.35       0.00     0.74
    11   3.1648      0.00     0.74       0.00    -0.44
    12   3.1674      0.00     0.45       0.00     0.27
    13   3.9676      0.00    -0.16       0.00    -0.23
    14   3.9676      0.00    -0.09       0.00    -0.21
    15   3.9677      0.00    -0.18       0.00    -0.19
    16   4.0519      0.00     0.07       0.00    -0.38
    17   4.0545      0.00     0.01       0.00    -0.40
    18   4.1310      0.00    -0.18       0.00     0.03
    19   4.1337      0.00    -0.89       0.00    -0.04
    20   4.7258      0.00     0.29       0.00     0.21
    21   4.7260      0.00     0.17       0.00    -0.16
    22   4.7260      0.00     0.06       0.00    -0.14
    23   4.7668      0.00    -0.05       0.00     0.15
    24   4.7670      0.00    -0.13       0.00     0.10
    25   4.7696      0.00    -0.13       0.00     0.04
    26  10.7768      0.00    -0.46       0.00    -0.94
    27  10.8591      0.00    -0.21       0.00     0.06
    28  10.9956      0.00    -0.10       0.00    -0.24
    29  11.0744      0.00    -0.15       0.00    -0.08
    30  11.0744      0.00    -0.27       0.00     0.02
    31  11.0744      0.00    -0.10       0.00    -0.29
    32  11.0745      0.00    -0.55       0.00    -0.04
    33  11.8879      0.00     0.12       0.00     0.21
    34  11.8880      0.00    -0.13       0.00     0.08
    35  11.8881      0.00     0.24       0.00     0.29
    36  11.9644      0.00     0.53       0.00     0.16
    37  11.9645      0.00    -0.21       0.00     0.12
    38  11.9645      0.00     0.47       0.00    -0.07
    39  11.9646      0.00    -0.20       0.00     0.11
    40  11.9699      0.00     0.12       0.00     0.14
    41  11.9700      0.00    -0.11       0.00    -0.04
    42  11.9700      0.00    -0.07       0.00    -0.08
    43  11.9701      0.00     0.19       0.00    -0.01
    44  12.0710      0.00    -0.03       0.00    -0.03
    45  12.0710      0.00    -0.15       0.00     0.06
    46  12.0710      0.00    -0.36       0.00     0.68
    47  12.0711      0.00     0.27       0.00    -0.14
    48  12.1312      0.00     0.22       0.00    -0.16
    49  12.2188      0.00     0.27       0.00     0.05
    50  12.2188      0.00     0.12       0.00     0.27
    51  12.2189      0.00    -0.05       0.00    -0.17
    52  12.2189      0.00     0.43       0.00    -0.20
    53  12.8901      0.00    -0.14       0.00    -0.20
    54  13.0025      0.00    -0.14       0.00    -0.07
    55  13.0243      0.00     0.08       0.00    -0.12
    56  14.0668      0.00     0.12       0.00    -0.09
    57  14.0670      0.00    -0.26       0.00    -0.05
    58  14.0672      0.00    -0.25       0.00     0.14
    59  17.1548      0.00     0.26       0.00     0.27
    60  17.1550      0.00     0.06       0.00     0.00
    61  17.1551      0.00     0.03       0.00     0.07

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.

07FO51    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        50.290    50.290    50.290
ecceobj         0.285     0.285     0.285
incobj         27.962    27.962    27.962
qmin           34.321    34.345    34.335
qmax           67.422    67.457    67.435
amean          50.508    50.509    50.506
amin           50.009    50.008    50.005
amax           51.131    51.146    51.126
emean           0.297     0.297     0.297
emin            0.276     0.276     0.275
emax            0.319     0.320     0.319
imean          26.771    26.774    26.781
imin           26.040    26.038    26.051
imax           27.501    27.499    27.501
excite_mean     0.540     0.540     0.540
fracstop        1.000     1.000     1.000
cjmean          2.804     2.804     2.804

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       180.2     180.2     180.2
kozaiamp        180.0     180.0     180.0