Orbit Fit and Astrometric record for 20FP7

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: 20FP7     
# Created Sat Nov 27 02:14:12 2021
# Orbit generated from Bernstein formalism
# Fitting     58 observations of     60
# Arc:   1.21y
# First observation: 2020/03/21
#  Last observation: 2021/06/07
Preliminary a, adot, b, bdot, g, gdot:
   0.002659   0.144273  -0.002801   0.173522   0.103746   0.000000
# Chi-squared of fit:    33.71 DOF:    110 RMS:  0.13
# Min/Max residuals:    -0.40    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.945625E-05  1.274891E-01  2.372313E-05  1.439638E-01  9.497162E-02 -1.361047E-01
# Covariance matrix:
  1.1840E-13  1.2411E-13 -2.9236E-14  3.1337E-13  1.6454E-13  1.5169E-12
  1.2411E-13  8.1826E-13 -1.2426E-13  1.3264E-12  5.0331E-13  6.4233E-12
 -2.9236E-14 -1.2426E-13  7.5710E-14 -2.7811E-13 -8.3551E-14 -1.0886E-12
  3.1337E-13  1.3264E-12 -2.7811E-13  2.4832E-12  8.9452E-13  1.1618E-11
  1.6454E-13  5.0331E-13 -8.3551E-14  8.9452E-13  4.3320E-13  4.3304E-12
  1.5169E-12  6.4233E-12 -1.0886E-12  1.1618E-11  4.3304E-12  5.6261E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.782540 -151.289665    0.471129   -0.042924   -0.881805  2458929.984141
# Heliocentric elements and errors
Epoch:              2458920.5000  =  2020/03/12
Mean Anomaly:          355.87787 +/-     0.002
Argument of Peri:       76.93192 +/-     0.001
Long of Asc Node:      208.55788 +/-     0.000
Inclination:            49.77653 +/-     0.000
Eccentricity:         0.86676127 +/-    0.0001
Semi-Major Axis:     52.62712568 +/-    0.0192
Time of Perihelion: 2460517.2335 +/-       0.0
Perihelion:           7.01197126 +/-    0.0037
Aphelion:            98.24228010 +/-    0.0360
Period (y)              381.7884 +/-      0.21
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -10.22015730 +/-    0.0001
Ecliptic Y           -5.07052725 +/-    0.0000
Ecliptic Z           -0.51088322 +/-    0.0000
Ecliptic XDOT         0.00503425 +/-    0.0000
Ecliptic YDOT        -0.00143484 +/-    0.0000
Ecliptic ZDOT         0.00433555 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   11.42028298 +/-    0.0001
Geocenter to KBO     10.52946149 +/-    0.0001
# Hcoef: 10.75

The following table shows the complete astrometric record for 20FP7. 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 (20FP7) followed by the observatory code and reference code for the source of the astrometry.

2020 03  21.48334  13 42 39.192  -13 36 54.54  21.7w 20FP7     F51  C~3qVI      
2020 03  21.49490  13 42 39.013  -13 36 52.63  21.6w 20FP7     F51  C~3qVI      
2020 03  21.50644  13 42 38.872  -13 36 51.07  21.2w 20FP7     F51  C~3qVI      
2020 03  21.51797  13 42 38.715  -13 36 49.38  21.4w 20FP7     F51  C~3qVI      
2020 03  29.430206 13 40 53.518  -13 16 20.14  21.6G 20FP7     F51  C~3qVI      
2020 04  15.422530 13 36 43.188  -12 28 21.45  20.6G 20FP7     F52  C~3qVI      
2020 04  15.434950 13 36 42.995  -12 28 19.10  20.0G 20FP7     F52  C~3qVI      
2020 04  15.447380 13 36 42.779  -12 28 16.52  19.9G 20FP7     F52  C~3qVI      
2020 04  19.419800 13 35 42.403  -12 16 34.73  21.6w 20FP7     F51  C~3qVI      
2020 04  19.431749 13 35 42.218  -12 16 32.69  21.5w 20FP7     F51  C~3qVI      
2020 04  19.443664 13 35 42.035  -12 16 30.60  21.6w 20FP7     F51  C~3qVI      
2020 04  19.455586 13 35 41.847  -12 16 28.22  21.4w 20FP7     F51  C~3qVI      
2020 04  20.371127 13 35 27.977  -12 13 45.80  21.4w 20FP7     F51  C~3qVI      
2020 04  20.383729 13 35 27.785  -12 13 43.53  21.3w 20FP7     F51  C~3qVI      
2020 04  20.396313 13 35 27.589  -12 13 41.37  21.7w 20FP7     F51  C~3qVI      
2020 04  20.408894 13 35 27.391  -12 13 39.15  21.2w 20FP7     F51  C~3qVI      
2020 04  21.345010 13 35 13.21   -12 10 52.4   20.7G 20FP7     F65  C~3qVI      
2020 04  21.347968 13 35 13.16   -12 10 51.9   20.8G 20FP7     F65  C~3qVI      
2020 04  21.350926 13 35 13.12   -12 10 51.4   20.8G 20FP7     F65  C~3qVI      
2020 04  21.353884 13 35 13.07   -12 10 50.8   20.8G 20FP7     F65  C~3qVI      
2020 04  21.356842 13 35 13.03   -12 10 50.3   20.8G 20FP7     F65  C~3qVI      
2020 04  22.383759 13 34 57.503  -12 07 47.90  21.7w 20FP7     F51  C~3qVI      
2020 04  22.395381 13 34 57.334  -12 07 45.80  21.7w 20FP7     F51  C~3qVI      
2020 04  22.407006 13 34 57.149  -12 07 43.72  21.6w 20FP7     F51  C~3qVI      
2020 04  22.418715 13 34 56.966  -12 07 41.67  22.0w 20FP7     F51  C~3qVI      
2020 05  14.15719  13 29 51.58   -11 04 16.2   21.5G 20FP7     G96  C~3syx      
2020 05  14.16392  13 29 51.47   -11 04 14.4   21.5G 20FP7     G96  C~3syx      
2020 05  14.16955  13 29 51.38   -11 04 13.2   21.9G 20FP7     G96  C~3syx      
2020 05  14.17518  13 29 51.33   -11 04 12.5   21.4G 20FP7     G96  C~3syx      
2020 06  17.31005  13 25 09.824  -09 42 22.14  21.5w 20FP7     F51  C~3wrS      
2020 06  17.32237  13 25 09.782  -09 42 20.58  21.6w 20FP7     F51  C~3wrS      
2020 06  17.33477  13 25 09.738  -09 42 19.34  21.5w 20FP7     F51  C~3wrS      
2020 06  17.34699  13 25 09.699  -09 42 17.92  21.5w 20FP7     F51  C~3wrS      
2021 02  13.31221  14 30 56.52   -09 12 48.2   20.8G 20FP7     X01  C~4ZhH      
2021 02  13.36290  14 30 56.62   -09 12 41.6   20.8G 20FP7     X01  C~4ZhH      
2021 03  15.540278 14 29 15.718  -07 52 54.21  21.2w 20FP7     F52  C~4fa4      
2021 03  15.564939 14 29 15.485  -07 52 49.70  21.1w 20FP7     F52  C~4fa4      
2021 03  15.577264 14 29 15.378  -07 52 47.23  21.0w 20FP7     F52  C~4fa4      
2021 03  20.530516 14 28 27.909  -07 37 02.41  20.9w 20FP7     F51  C~4gaF      
2021 03  20.542660 14 28 27.786  -07 37 00.13  20.9w 20FP7     F51  C~4gaF      
2021 03  20.554830 14 28 27.646  -07 36 57.79  20.9w 20FP7     F51  C~4gaF      
2021 03  20.566998 14 28 27.514  -07 36 55.43  20.9w 20FP7     F51  C~4gaF      
2021 03  22.527288 14 28 06.659  -07 30 31.99  20.6w 20FP7     F52  C~4gaF      
2021 03  22.539389 14 28 06.503  -07 30 29.82  20.7w 20FP7     F52  C~4gaF      
2021 03  22.551498 14 28 06.372  -07 30 27.40  20.6w 20FP7     F52  C~4gaF      
2021 05  01.311758 14 18 15.01   -05 13 16.1   20.6G 20FP7     G96  C~4nIT      
2021 05  01.317296 14 18 14.91   -05 13 14.7   20.9G 20FP7     G96  C~4nIT      
2021 05  01.322816 14 18 14.82   -05 13 13.7   20.9G 20FP7     G96  C~4nIT      
2021 05  01.328333 14 18 14.75   -05 13 12.7   20.5G 20FP7     G96  C~4nIT      
2021 05  08.39584  14 16 18.066  -04 49 54.83  20.7w 20FP7     F51  C~4nIT      
2021 05  08.40783  14 16 17.865  -04 49 52.50  20.7w 20FP7     F51  C~4nIT      
2021 05  08.41978  14 16 17.665  -04 49 50.15  20.8w 20FP7     F51  C~4nIT      
2021 05  08.43178  14 16 17.464  -04 49 47.86  20.7w 20FP7     F51  C~4nIT      
2021 05  31.279565 14 10 44.665  -03 44 04.80  20.8w 20FP7     F51  C~4pZl      
2021 05  31.291495 14 10 44.511  -03 44 03.20  20.7w 20FP7     F51  C~4pZl      
2021 05  31.303465 14 10 44.360  -03 44 01.35  20.7w 20FP7     F51  C~4pZl      
2021 05  31.315438 14 10 44.213  -03 43 59.54  20.7w 20FP7     F51  C~4pZl      
2021 06  07.278810 14 09 25.763  -03 27 43.30  20.8w 20FP7     F51  C~4qnY      
2021 06  07.291213 14 09 25.625  -03 27 41.61  20.9w 20FP7     F51  C~4qnY      
2021 06  07.303638 14 09 25.496  -03 27 40.01  20.9w 20FP7     F51  C~4qnY      

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     0.37       0.00     0.05
     2   0.0000     -3.12    -0.10       0.85     0.07
     3   0.0001     -5.60     0.07       1.56    -0.04
     4   0.0001     -8.34    -0.03       2.32    -0.11
     5   0.0218  -1882.62 (  -0.36)    597.06 (   0.52)
     6   0.0683  -6339.90     0.14    1953.46    -0.11
     7   0.0683  -6343.39     0.08    1954.62     0.04
     8   0.0683  -6347.28    -0.37    1955.87     0.29
     9   0.0792  -7428.28     0.03    2286.94     0.02
    10   0.0793  -7431.55     0.07    2287.85    -0.05
    11   0.0793  -7434.82     0.10    2288.82    -0.06
    12   0.0793  -7438.26    -0.03    2290.03     0.17
    13   0.0818  -7687.22     0.02    2367.04    -0.00
    14   0.0819  -7690.68     0.05    2368.12     0.05
    15   0.0819  -7694.15     0.07    2369.09    -0.02
    16   0.0819  -7697.66     0.03    2370.09    -0.05
    17   0.0845  -7952.55    -0.30    2449.41     0.11
    18   0.0845  -7953.41    -0.35    2449.61     0.06
    19   0.0845  -7954.14    -0.27    2449.86     0.07
    20   0.0845  -7955.04    -0.35    2450.15     0.12
    21   0.0845  -7955.77    -0.26    2450.40     0.12
    22   0.0873  -8234.87    -0.01    2537.01    -0.16
    23   0.0874  -8237.95     0.12    2538.06    -0.08
    24   0.0874  -8241.24     0.04    2539.00    -0.10
    25   0.0874  -8244.50     0.02    2539.93    -0.14
    26   0.1470 -13835.27 (   0.77)   4432.71 (  -0.63)
    27   0.1470 -13837.45     0.19    4433.78    -0.14
    28   0.1470 -13839.13    -0.16    4434.41    -0.00
    29   0.1470 -13840.08     0.24    4434.79    -0.11
    30   0.2405 -19564.69     0.13    7468.56    -0.08
    31   0.2405 -19565.87     0.10    7469.78     0.08
    32   0.2405 -19566.94     0.17    7470.70    -0.08
    33   0.2406 -19568.02     0.23    7471.81    -0.02
    34   0.9003  35295.30     0.13   29791.82    -0.17
    35   0.9004  35294.65    -0.02   29798.77     0.00
    36   0.9830  32276.42     0.06   33964.03     0.15
    37   0.9831  32271.55    -0.01   33967.24     0.01
    38   0.9831  32269.18     0.02   33969.11     0.20
    39   0.9967  31268.06    -0.01   34648.29     0.12
    40   0.9967  31265.52     0.12   34649.89     0.08
    41   0.9968  31262.71    -0.01   34651.45     0.01
    42   0.9968  31260.01    -0.02   34653.08     0.00
    43   1.0022  30830.32     0.23   34920.19     0.24
    44   1.0022  30827.33     0.02   34921.50    -0.06
    45   1.0022  30824.63     0.10   34923.19     0.01
    46   1.1111  19494.83    -0.22   39858.20    -0.26
    47   1.1111  19492.91    -0.40   39859.03    -0.01
    48   1.1111  19491.27    -0.31   39859.53    -0.10
    49   1.1111  19489.92     0.08   39860.14    -0.09
    50   1.1305  17328.02     0.08   40603.22     0.01
    51   1.1305  17324.32     0.06   40604.42     0.02
    52   1.1306  17320.63     0.03   40605.64     0.06
    53   1.1306  17316.94     0.03   40606.81     0.02
    54   1.1931  11160.32     0.00   42672.30     0.08
    55   1.1932  11157.54     0.01   42673.03    -0.11
    56   1.1932  11154.73    -0.02   42674.03    -0.04
    57   1.1932  11151.98     0.02   42675.01     0.01
    58   1.2123   9682.70     0.07   43205.92    -0.04
    59   1.2123   9680.13    -0.03   43206.83    -0.02
    60   1.2124   9677.71     0.03   43207.69    -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.

20FP7    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        51.153    51.161    51.144
ecceobj         0.863     0.863     0.863
incobj         49.922    49.922    49.922
qmin            6.612     6.816     6.293
qmax          135.096    95.799   111.991
amean          59.607    48.706    52.375
amin           49.785    45.034    44.787
amax           70.960    51.403    59.299
emean           0.883     0.856     0.870
emin            0.860     0.845     0.846
emax            0.906     0.865     0.889
imean          49.352    50.034    49.789
imin           48.467    49.731    49.012
imax           50.271    50.293    50.860
excite_mean     1.164     1.149     1.158
fracstop        0.014     0.003     0.024
cjmean          1.377     1.475     1.424

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        75.2      77.0      73.3
kozaiamp          2.8       1.1       4.4