Orbit Fit and Astrometric record for 20RP11

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: 20RP11    
# Created Sat Apr 27 01:18:43 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     73 observations of     73
# Arc:   3.38y
# First observation: 2020/08/22
#  Last observation: 2024/01/09
# Chi-squared of fit:    93.10 DOF:    140 RMS:  0.20
# Min/Max residuals:    -0.65    0.79
# Exact a, adot, b, bdot, g, gdot:
  4.525945E-05  5.013221E-01 -2.396296E-05 -2.531448E-01  1.757726E-01 -8.892806E-02
# Covariance matrix:
  4.4548E-14 -1.3773E-13 -6.9631E-15  7.5968E-14  1.4158E-14 -2.2516E-14
 -1.3773E-13  2.0361E-12  1.1440E-13 -1.2168E-12  1.2381E-13  3.7487E-13
 -6.9631E-15  1.1440E-13  3.2481E-14 -9.7299E-14  6.5975E-15  2.2031E-14
  7.5968E-14 -1.2168E-12 -9.7299E-14  8.4921E-13 -6.6886E-14 -2.3447E-13
  1.4158E-14  1.2381E-13  6.5975E-15 -6.6886E-14  4.4498E-14  2.2135E-14
 -2.2516E-14  3.7487E-13  2.2031E-14 -2.3447E-13  2.2135E-14  7.2166E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
  -13.015799   10.446037    0.654101   -0.171386   -0.740935  2459084.011571
# Heliocentric elements and errors
Epoch:              2459084.5000  =  2020/08/23
Mean Anomaly:          356.21064 +/-     0.000
Argument of Peri:      238.29567 +/-     0.000
Long of Asc Node:      164.27748 +/-     0.000
Inclination:            30.35329 +/-     0.000
Eccentricity:         0.73763106 +/-    0.0002
Semi-Major Axis:     22.74543309 +/-    0.0000
Time of Perihelion: 2459501.5642 +/-       0.1
Perihelion:           5.96769527 +/-    0.0046
Aphelion:            39.52317091 +/-    0.0046
Period (y)              108.4800 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            6.32324772 +/-    0.0000
Ecliptic Y            0.49318724 +/-    0.0000
Ecliptic Z           -1.28141293 +/-    0.0000
Ecliptic XDOT        -0.00360865 +/-    0.0000
Ecliptic YDOT         0.00727811 +/-    0.0000
Ecliptic ZDOT        -0.00352996 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    6.47067674 +/-    0.0000
Geocenter to KBO      5.68924068 +/-    0.0000
# Hcoef: 13.54

The following table shows the complete astrometric record for 20RP11. 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 (20RP11) followed by the observatory code and reference code for the source of the astrometry.

2020 08  22.510770 00 58 51.934  -07 50 15.68  21.8G 20RP11    F51  C~4Apc      
2020 08  22.523166 00 58 51.881  -07 50 19.43  21.8G 20RP11    F51  C~4Apc      
2020 08  22.535652 00 58 51.790  -07 50 23.12  21.8G 20RP11    F51  C~4Apc      
2020 08  22.538811 00 58 51.800  -07 50 23.95  21.8G 20RP11    F52  C~4Apc      
2020 08  22.549785 00 58 51.731  -07 50 27.40  21.4G 20RP11    F52  C~4Apc      
2020 08  22.560765 00 58 51.636  -07 50 30.65  21.9G 20RP11    F52  C~4Apc      
2020 08  22.571694 00 58 51.569  -07 50 33.82  22.2G 20RP11    F52  C~4Apc      
2020 08  30.573882 00 57 52.256  -08 30 01.99  21.5G 20RP11    F52  C~4Apc      
2020 08  30.587370 00 57 52.124  -08 30 06.22  21.6G 20RP11    F52  C~4Apc      
2020 08  30.600914 00 57 51.973  -08 30 10.04  21.4G 20RP11    F52  C~4Apc      
2020 09  09.456434 00 56 00.181  -09 20 45.12  21.6i 20RP11    F51  C~4Apc      
2020 09  09.467862 00 56 00.009  -09 20 48.67  21.3i 20RP11    F51  C~4Apc      
2020 09  09.490769 00 55 59.696  -09 20 55.85  21.7i 20RP11    F51  C~4Apc      
2020 09  13.462316 00 55 04.032  -09 41 31.96  21.4G 20RP11    F52  C~4Apc      
2020 09  13.473862 00 55 03.863  -09 41 35.63  21.8G 20RP11    F52  C~4Apc      
2020 09  13.497019 00 55 03.512  -09 41 42.70  21.2G 20RP11    F52  C~4Apc      
2020 09  14.369648 00 54 50.612  -09 46 13.90  21.6G 20RP11    F51  C~4Apc      
2020 09  14.383317 00 54 50.401  -09 46 18.22  21.6G 20RP11    F51  C~4Apc      
2020 09  14.397046 00 54 50.188  -09 46 22.83  21.2G 20RP11    F51  C~4Apc      
2020 09  15.395456 00 54 35.068  -09 51 32.68  21.4G 20RP11    F52  C~4Apc      
2020 09  15.412598 00 54 34.791  -09 51 37.71  21.8G 20RP11    F52  C~4Apc      
2020 09  15.429756 00 54 34.517  -09 51 42.88  21.4G 20RP11    F52  C~4Apc      
2020 09  15.446845 00 54 34.246  -09 51 48.60  21.4G 20RP11    F52  C~4Apc      
2020 09  18.345861 00 53 48.668  -10 06 44.52  22.3G 20RP11    F52  C~4Apc      
2020 09  18.362924 00 53 48.424  -10 06 49.72  22.8G 20RP11    F52  C~4Apc      
2020 09  18.379979 00 53 48.114  -10 06 55.25  23.2G 20RP11    F52  C~4Apc      
2020 09  18.396983 00 53 47.862  -10 07 00.82  23.0G 20RP11    F52  C~4Apc      
2020 10  05.474501 00 48 45.094  -11 30 17.53  21.6G 20RP11    F51  C~4Apc      
2020 10  10.373547 00 47 14.006  -11 51 44.03  21.7w 20RP11    F51  C~4Apc      
2020 10  10.385190 00 47 13.774  -11 51 46.92  21.5w 20RP11    F51  C~4Apc      
2020 10  10.396828 00 47 13.564  -11 51 49.89  21.5w 20RP11    F51  C~4Apc      
2020 10  10.408476 00 47 13.338  -11 51 52.86  21.6w 20RP11    F51  C~4Apc      
2020 10  14.421334 00 45 59.482  -12 08 19.81  21.6w 20RP11    F51  C~4Apc      
2020 10  14.432486 00 45 59.269  -12 08 22.37  21.6w 20RP11    F51  C~4Apc      
2020 10  14.443616 00 45 59.066  -12 08 24.96  21.5w 20RP11    F51  C~4Apc      
2020 10  14.454719 00 45 58.852  -12 08 27.63  21.8w 20RP11    F51  C~4Apc      
2020 10  15.24079  00 45 44.61   -12 11 33.1         20RP11    711  C~4Apc      
2020 10  15.24547  00 45 44.55   -12 11 33.7         20RP11    711  C~4Apc      
2020 10  15.24987  00 45 44.46   -12 11 36.1         20RP11    711  C~4Apc      
2020 10  20.31455  00 44 14.729  -12 30 24.12  21.3w 20RP11    F52  C~4Apc      
2020 10  20.32673  00 44 14.468  -12 30 26.78  21.4w 20RP11    F52  C~4Apc      
2020 10  20.33892  00 44 14.270  -12 30 29.63  21.1w 20RP11    F52  C~4Apc      
2021 09  27.59091  03 19 29.249  -11 31 33.84  21.0i 20RP11    F51  C~5Bm4      
2021 09  27.60295  03 19 29.189  -11 31 37.69  21.0i 20RP11    F51  C~5Bm4      
2021 09  27.61495  03 19 29.089  -11 31 41.73  20.9i 20RP11    F51  C~5Bm4      
2021 10  01.42647  03 19 03.41   -11 52 43.2   21.4V 20RP11    691  C~5Bm4      
2021 10  01.44065  03 19 03.31   -11 52 47.7   21.3V 20RP11    691  C~5Bm4      
2021 10  01.45485  03 19 03.20   -11 52 52.1   21.3V 20RP11    691  C~5Bm4      
2021 10  14.56318  03 16 35.305  -13 01 30.77  21.3w 20RP11    F51  C~5Bm4      
2021 10  14.57418  03 16 35.139  -13 01 34.13  21.3w 20RP11    F51  C~5Bm4      
2021 10  14.58520  03 16 34.959  -13 01 37.41  21.3w 20RP11    F51  C~5Bm4      
2021 10  31.45950  03 11 40.852  -14 14 29.69  21.3w 20RP11    F51  C~5Bm4      
2021 10  31.48355  03 11 40.351  -14 14 34.81  21.2w 20RP11    F51  C~5Bm4      
2021 10  31.49560  03 11 40.109  -14 14 37.36  21.1w 20RP11    F51  C~5Bm4      
2021 11  07.45401  03 09 19.047  -14 37 15.92  21.2w 20RP11    F52  C~5Bm4      
2021 11  07.47594  03 09 18.589  -14 37 19.93  21.1w 20RP11    F52  C~5Bm4      
2021 11  25.39901  03 03 16.064  -15 10 47.32  21.1i 20RP11    F51  C~5HP7      
2021 11  25.41133  03 03 15.823  -15 10 47.38  20.8i 20RP11    F51  C~5HP7      
2021 11  25.42366  03 03 15.582  -15 10 47.94  21.1i 20RP11    F51  C~5HP7      
2021 11  28.42509  03 02 19.986  -15 12 41.76  21.1w 20RP11    F51  C~5HP7      
2021 11  28.43706  03 02 19.766  -15 12 41.97  21.3w 20RP11    F51  C~5HP7      
2021 11  28.44907  03 02 19.535  -15 12 42.50  21.3w 20RP11    F51  C~5HP7      
2021 11  28.46114  03 02 19.315  -15 12 42.73  21.1w 20RP11    F51  C~5HP7      
2022 10  19.589229 05 36 03.090  -10 03 11.75  21.8w 20RP11    F51  C~5tbg      
2022 10  19.600926 05 36 03.062  -10 03 14.70  21.6w 20RP11    F51  C~5tbg      
2022 10  19.612618 05 36 03.012  -10 03 17.66  21.6w 20RP11    F51  C~5tbg      
2022 10  19.624336 05 36 02.985  -10 03 20.42  21.5w 20RP11    F51  C~5tbg      
2022 11  01.513080 05 34 44.466  -10 53 52.27  21.8w 20RP11    F51  C~5zHG      
2022 11  01.525200 05 34 44.350  -10 53 54.97  21.6w 20RP11    F51  C~5zHG      
2022 11  01.549377 05 34 44.089  -10 53 59.95  21.8w 20RP11    F51  C~5zHG      
2024 01  09.182840 07 00 47.068  -07 13 37.52  22.2G 20RP11    G37  C~7gya      
2024 01  09.297770 07 00 44.630  -07 13 25.12        20RP11    G37  C~7gya      
2024 01  09.410930 07 00 42.229  -07 13 12.92        20RP11    G37  C~7gya      

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     0.21
     2   0.0000      0.00     0.20       0.00     0.04
     3   0.0001      0.00    -0.02       0.00    -0.06
     4   0.0001      0.00     0.42       0.00     0.02
     5   0.0001      0.00     0.38       0.00    -0.27
     6   0.0001      0.00    -0.04       0.00    -0.35
     7   0.0002      0.00    -0.04       0.00    -0.38
     8   0.0221      0.00     0.03       0.00     0.01
     9   0.0221      0.00     0.04       0.00    -0.14
    10   0.0221      0.00    -0.22       0.00     0.14
    11   0.0491      0.00     0.08       0.00     0.03
    12   0.0492      0.00    -0.12       0.00     0.04
    13   0.0492      0.00    -0.02       0.00    -0.01
    14   0.0601      0.00    -0.03       0.00     0.07
    15   0.0601      0.00     0.09       0.00    -0.01
    16   0.0602      0.00     0.16       0.00     0.12
    17   0.0626      0.00    -0.12       0.00     0.13
    18   0.0626      0.00    -0.11       0.00     0.07
    19   0.0627      0.00    -0.11       0.00    -0.26
    20   0.0654      0.00    -0.04       0.00    -0.15
    21   0.0654      0.00    -0.12       0.00     0.15
    22   0.0655      0.00    -0.14       0.00     0.31
    23   0.0655      0.00    -0.12       0.00    -0.10
    24   0.0735      0.00    -0.23       0.00     0.07
    25   0.0735      0.00     0.36       0.00     0.14
    26   0.0736      0.00    -0.03       0.00    -0.12
    27   0.0736      0.00     0.44       0.00    -0.44
    28   0.1204      0.00    -0.35       0.00    -0.56
    29   0.1338      0.00    -0.07       0.00     0.02
    30   0.1338      0.00    -0.20       0.00     0.09
    31   0.1338      0.00     0.00       0.00     0.08
    32   0.1339      0.00    -0.04       0.00     0.06
    33   0.1449      0.00    -0.02       0.00    -0.05
    34   0.1449      0.00    -0.06       0.00     0.04
    35   0.1449      0.00     0.04       0.00     0.09
    36   0.1450      0.00    -0.03       0.00     0.05
    37   0.1471      0.00    -0.11       0.00     0.30
    38   0.1471      0.00     0.31       0.00     0.79
    39   0.1471      0.00     0.19       0.00    -0.58
    40   0.1610      0.00     0.17       0.00     0.32
    41   0.1610      0.00    -0.48       0.00     0.24
    42   0.1611      0.00    -0.18       0.00    -0.03
    43   1.0981      0.00     0.15       0.00    -0.10
    44   1.0981      0.00     0.38       0.00     0.05
    45   1.0982      0.00     0.01       0.00    -0.00
    46   1.1086      0.00    -0.65       0.00    -0.42
    47   1.1086      0.00    -0.35       0.00    -0.26
    48   1.1087      0.00    -0.20       0.00    -0.00
    49   1.1446      0.00     0.25       0.00     0.21
    50   1.1446      0.00     0.25       0.00     0.09
    51   1.1446      0.00     0.04       0.00     0.06
    52   1.1908      0.00     0.18       0.00    -0.02
    53   1.1909      0.00     0.04       0.00     0.06
    54   1.1909      0.00     0.11       0.00     0.11
    55   1.2100      0.00     0.02       0.00     0.13
    56   1.2100      0.00     0.17       0.00    -0.09
    57   1.2591      0.00    -0.06       0.00    -0.43
    58   1.2591      0.00    -0.05       0.00     0.10
    59   1.2592      0.00    -0.05       0.00     0.14
    60   1.2674      0.00     0.00       0.00    -0.03
    61   1.2674      0.00     0.07       0.00     0.07
    62   1.2675      0.00    -0.02       0.00    -0.15
    63   1.2675      0.00     0.06       0.00    -0.07
    64   2.1576      0.00    -0.00       0.00     0.03
    65   2.1577      0.00     0.08       0.00     0.02
    66   2.1577      0.00    -0.18       0.00    -0.01
    67   2.1577      0.00    -0.09       0.00     0.17
    68   2.1930      0.00    -0.12       0.00    -0.08
    69   2.1931      0.00     0.03       0.00    -0.16
    70   2.1931      0.00    -0.11       0.00     0.08
    71   3.3803      0.00     0.05       0.00     0.06
    72   3.3807      0.00     0.05       0.00     0.07
    73   3.3810      0.00     0.03       0.00    -0.06

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.

20RP11    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        22.521    22.520    22.521
ecceobj         0.737     0.737     0.737
incobj         30.366    30.366    30.366
qmin            5.913     5.913     5.913
qmax           40.996    39.590    41.226
amean          21.770    22.569    21.635
amin           19.485    22.463    19.805
amax           24.061    22.837    23.653
emean           0.695     0.731     0.711
emin            0.672     0.725     0.678
emax            0.737     0.737     0.743
imean          32.411    29.797    30.781
imin           29.530    29.529    29.530
imax           34.778    30.017    32.879
excite_mean     0.878     0.884     0.876
fracstop        0.006     0.001     0.003
cjmean          2.421     2.366     2.422

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       243.2     236.5     246.3
kozaiamp          7.7       1.7       7.5