Orbit Fit and Astrometric record for 20PQ7

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: 20PQ7     
# Created Tue Nov 30 02:14:11 2021
# Orbit generated from Bernstein formalism
# Fitting    102 observations of    102
# Arc:   3.31y
# First observation: 2018/06/14
#  Last observation: 2021/10/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.391808   0.788951   0.011004  -0.034185   0.445101   0.000000
# WARNING -- MRQMIN stopped after  13 iterations
# Chi-squared of fit:  9999.99 DOF:    198 RMS: 99.99
# Min/Max residuals: -9999.99 9999.99
# Exact a, adot, b, bdot, g, gdot:
  1.831104E-01  1.152472E+00 -1.124286E-01 -4.689762E-02  4.862628E-01  4.963389E-03
# Covariance matrix:
  5.6717E-14 -2.9839E-14 -2.9458E-15  1.9488E-15 -1.2488E-14 -2.6428E-15
 -2.9839E-14  2.3218E-14  3.1271E-15 -1.5730E-15  2.2544E-14  1.3212E-15
 -2.9458E-15  3.1271E-15  2.8022E-14 -1.0687E-14  4.2119E-15  1.7655E-16
  1.9488E-15 -1.5730E-15 -1.0687E-14  4.8250E-15 -1.5367E-15 -1.5478E-16
 -1.2488E-14  2.2544E-14  4.2119E-15 -1.5367E-15  4.1266E-14  3.6989E-17
 -2.6428E-15  1.3212E-15  1.7655E-16 -1.5478E-16  3.6989E-17  2.7211E-16
#      lat0       lon0       xBary       yBary       zBary        JD0
   23.690176  -42.184945    0.822642    0.234644   -0.534727  2458284.047816
# Heliocentric elements and errors
Epoch:              2458280.5000  =  2018/06/11
Mean Anomaly:          196.62090 +/-     0.000
Argument of Peri:      264.54345 +/-     0.000
Long of Asc Node:      217.92530 +/-     0.000
Inclination:            13.28273 +/-     0.000
Eccentricity:         0.63055022 +/-    0.0000
Semi-Major Axis:      1.65287474 +/-    0.0000
Time of Perihelion: 2458632.7511 +/-       0.0
Perihelion:           0.61065421 +/-    0.0000
Aphelion:             2.69509527 +/-    0.0000
Period (y)                2.1250 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            1.59664819 +/-    0.0000
Ecliptic Y           -2.05652942 +/-    0.0000
Ecliptic Z            0.61462940 +/-    0.0000
Ecliptic XDOT         0.00446203 +/-    0.0000
Ecliptic YDOT         0.00471588 +/-    0.0000
Ecliptic ZDOT        -0.00023074 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    2.67513888 +/-    0.0000
Geocenter to KBO      2.10343941 +/-    0.0000
# Hcoef: 18.88

The following table shows the complete astrometric record for 20PQ7. 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 (20PQ7) followed by the observatory code and reference code for the source of the astrometry.

2018 06  14.547015 20 52 34.284  +07 07 28.61  24.1G 20PQ7     F51  C~55jG      
2018 06  14.559619 20 52 34.174  +07 07 29.56  23.5G 20PQ7     F51  C~55jG      
2018 06  14.572273 20 52 34.069  +07 07 31.27  22.9G 20PQ7     F51  C~55jG      
2018 06  14.584916 20 52 33.990  +07 07 31.92  22.9G 20PQ7     F51  C~55jG      
2019 06  01.562877 21 53 39.157  +10 01 43.61  23.1G 20PQ7     F51  C~55jG      
2019 06  01.574209 21 53 39.216  +10 01 45.46  23.1G 20PQ7     F51  C~55jG      
2019 06  01.585553 21 53 39.259  +10 01 47.28  23.9G 20PQ7     F51  C~55jG      
2019 06  02.546814 21 53 43.748  +10 04 16.68  23.1G 20PQ7     F51  C~55jG      
2019 07  28.373881 21 47 55.955  +11 11 19.76  23.0G 20PQ7     F52  C~55jG      
2019 07  28.384854 21 47 55.794  +11 11 19.44  23.0G 20PQ7     F52  C~55jG      
2019 07  28.532034 21 47 53.491  +11 11 15.49  22.7G 20PQ7     F51  C~55jG      
2019 07  28.543462 21 47 53.328  +11 11 15.27  22.8G 20PQ7     F51  C~55jG      
2019 07  28.554878 21 47 53.145  +11 11 14.74  22.5G 20PQ7     F51  C~55jG      
2019 07  28.566308 21 47 52.969  +11 11 14.48  23.0G 20PQ7     F51  C~55jG      
2019 08  28.324594 21 39 16.980  +10 27 38.66  22.5G 20PQ7     F51  C~55jG      
2019 08  28.335574 21 39 16.783  +10 27 37.20  22.4G 20PQ7     F51  C~55jG      
2019 08  28.346551 21 39 16.603  +10 27 35.63  22.2G 20PQ7     F51  C~55jG      
2019 08  28.357590 21 39 16.407  +10 27 34.17  22.4G 20PQ7     F51  C~55jG      
2019 10  22.324421 21 30 30.616  +07 46 09.22  22.6G 20PQ7     F51  C~55jG      
2019 10  22.335602 21 30 30.614  +07 46 06.91  22.8G 20PQ7     F51  C~55jG      
2019 10  22.346735 21 30 30.622  +07 46 05.09  22.4G 20PQ7     F51  C~55jG      
2019 10  24.214295 21 30 33.537  +07 40 41.45  22.9G 20PQ7     F52  C~55jG      
2020 08  14.58532  23 10 10.890  +14 50 17.92  22.1w 20PQ7     F51  C~48Q0      
2020 08  14.59478  23 10 10.752  +14 50 16.73  22.2w 20PQ7     F51  C~48Q0      
2020 08  14.60422  23 10 10.626  +14 50 16.63  21.7w 20PQ7     F51  C~48Q0      
2020 08  19.406219 23 09 00.517  +14 44 07.52  21.8G 20PQ7     F52  C~48Q0      
2020 08  19.418324 23 09 00.318  +14 44 06.59  22.3G 20PQ7     F52  C~48Q0      
2020 08  19.430461 23 09 00.151  +14 44 05.54  21.7G 20PQ7     F52  C~48Q0      
2020 08  19.442633 23 08 59.949  +14 44 04.39  21.9G 20PQ7     F52  C~48Q0      
2020 08  19.562814 23 08 58.058  +14 43 53.86  21.9G 20PQ7     F51  C~48Q0      
2020 08  19.573142 23 08 57.901  +14 43 52.91  22.0G 20PQ7     F51  C~48Q0      
2020 08  19.583507 23 08 57.734  +14 43 51.90  21.5G 20PQ7     F51  C~48Q0      
2020 08  19.593804 23 08 57.582  +14 43 50.97  21.6G 20PQ7     F51  C~48Q0      
2020 08  27.546238 23 06 50.040  +14 29 56.86  22.3G 20PQ7     F52  C~48Q0      
2020 08  27.557869 23 06 49.879  +14 29 55.56  22.2G 20PQ7     F52  C~48Q0      
2020 08  27.569507 23 06 49.650  +14 29 54.10  22.3G 20PQ7     F52  C~48Q0      
2020 09  07.404300 23 03 43.056  +14 04 15.04  22.3G 20PQ7     F52  C~48Q0      
2020 09  16.314454 23 01 07.619  +13 38 06.45  22.2w 20PQ7     F51  C~48Q0      
2020 09  16.325934 23 01 07.420  +13 38 04.23  22.1w 20PQ7     F51  C~48Q0      
2020 09  16.337431 23 01 07.219  +13 38 02.02  22.3w 20PQ7     F51  C~48Q0      
2020 09  16.348981 23 01 07.015  +13 38 00.01  22.0w 20PQ7     F51  C~48Q0      
2020 09  17.189413 23 00 52.59   +13 35 19.6   22.4V 20PQ7     H21  C~4AoK      
2020 09  17.195498 23 00 52.48   +13 35 18.4   22.0V 20PQ7     H21  C~4AoK      
2020 09  17.205232 23 00 52.32   +13 35 16.6   21.9V 20PQ7     H21  C~4AoK      
2020 09  17.366086 23 00 49.579  +13 34 45.95  21.8G 20PQ7     568  C~48Q0      
2020 09  17.367269 23 00 49.557  +13 34 45.73  21.8G 20PQ7     568  C~48Q0      
2020 09  17.368447 23 00 49.537  +13 34 45.51  21.8G 20PQ7     568  C~48Q0      
2020 09  17.525477 23 00 46.786  +13 34 15.19  21.8G 20PQ7     F51  C~48Q0      
2020 09  17.545162 23 00 46.435  +13 34 11.38  21.8G 20PQ7     F51  C~48Q0      
2020 09  17.564682 23 00 46.095  +13 34 07.57  21.9G 20PQ7     F51  C~48Q0      
2020 09  17.583983 23 00 45.770  +13 34 03.90  21.7G 20PQ7     F51  C~48Q0      
2020 09  22.401980 22 59 25.237  +13 18 07.03  22.0G 20PQ7     F52  C~55jG      
2020 09  22.413609 22 59 25.043  +13 18 04.50  21.9G 20PQ7     F52  C~55jG      
2020 09  22.425267 22 59 24.823  +13 18 02.15  22.1G 20PQ7     F52  C~55jG      
2020 09  22.436938 22 59 24.646  +13 17 59.77  22.1G 20PQ7     F52  C~55jG      
2020 09  22.446223 22 59 24.483  +13 17 57.81  21.5G 20PQ7     F52  C~55jG      
2020 09  22.458523 22 59 24.285  +13 17 55.10  21.4G 20PQ7     F52  C~55jG      
2020 09  22.470763 22 59 24.080  +13 17 52.97  22.0G 20PQ7     F52  C~55jG      
2020 10  10.260414 22 55 11.164  +12 13 18.72  21.6G 20PQ7     F52  C~55jG      
2020 10  21.219639 22 53 27.626  +11 32 09.04  22.1G 20PQ7     F51  C~55jG      
2020 10  21.231020 22 53 27.541  +11 32 06.61  22.0G 20PQ7     F51  C~55jG      
2020 10  21.242406 22 53 27.462  +11 32 04.27  21.7G 20PQ7     F51  C~55jG      
2020 10  21.253837 22 53 27.371  +11 32 01.44  21.6G 20PQ7     F51  C~55jG      
2020 11  10.338378 22 52 38.952  +10 22 33.66  21.8G 20PQ7     F52  C~55jG      
2020 12  05.226030 22 56 21.702  +09 20 33.32  21.7G 20PQ7     F51  C~55jG      
2020 12  09.212880 22 57 26.125  +09 13 52.56  22.1G 20PQ7     F51  C~55jG      
2020 12  09.224604 22 57 26.317  +09 13 51.44  22.0G 20PQ7     F51  C~55jG      
2020 12  09.236356 22 57 26.507  +09 13 50.36  22.1G 20PQ7     F51  C~55jG      
2020 12  09.248208 22 57 26.722  +09 13 49.22  21.8G 20PQ7     F51  C~55jG      
2021 09  03.56946  00 57 01.337  +16 43 55.51  21.6w 20PQ7     F51  C~55jG      
2021 09  03.58175  00 57 01.193  +16 43 54.46  21.4w 20PQ7     F51  C~55jG      
2021 09  03.59410  00 57 01.049  +16 43 52.76  21.6w 20PQ7     F51  C~55jG      
2021 09  05.390942 00 56 40.741  +16 40 21.39  21.8G 20PQ7     F52  C~55jG      
2021 09  05.401840 00 56 40.615  +16 40 19.96  21.6G 20PQ7     F52  C~55jG      
2021 09  05.412791 00 56 40.483  +16 40 18.82  21.8G 20PQ7     F52  C~55jG      
2021 09  05.423748 00 56 40.348  +16 40 17.39  21.8G 20PQ7     F52  C~55jG      
2021 09  05.601098 00 56 38.170  +16 39 55.87  21.8G 20PQ7     F51  C~55jG      
2021 09  05.601954 00 56 38.160  +16 39 55.69  21.7G 20PQ7     F51  C~55jG      
2021 09  10.41277  00 55 37.398  +16 29 22.46  21.6w 20PQ7     F52  C~55jG      
2021 09  10.42561  00 55 37.221  +16 29 20.63  21.8w 20PQ7     F52  C~55jG      
2021 09  10.43843  00 55 37.031  +16 29 18.98  21.7w 20PQ7     F52  C~55jG      
2021 09  10.45125  00 55 36.859  +16 29 17.06  21.6w 20PQ7     F52  C~55jG      
2021 09  12.359830 00 55 10.513  +16 24 40.37  21.6G 20PQ7     G37  C~55jG      
2021 09  12.420590 00 55 09.622  +16 24 31.45        20PQ7     G37  C~55jG      
2021 09  12.481380 00 55 08.740  +16 24 22.23        20PQ7     G37  C~55jG      
2021 09  27.367450 00 51 10.995  +15 41 03.97  21.9G 20PQ7     F51  C~55jG      
2021 09  27.378479 00 51 10.802  +15 41 02.00  21.4G 20PQ7     F51  C~55jG      
2021 09  27.389530 00 51 10.605  +15 40 59.45  21.7G 20PQ7     F51  C~55jG      
2021 09  27.400661 00 51 10.381  +15 40 57.25  21.7G 20PQ7     F51  C~55jG      
2021 09  28.533999 00 50 50.518  +15 37 10.93  21.4G 20PQ7     F51  C~55jG      
2021 09  29.28713  00 50 37.397  +15 34 38.33  21.3w 20PQ7     F51  C~55jG      
2021 09  29.29870  00 50 37.195  +15 34 35.89  21.3w 20PQ7     F51  C~55jG      
2021 09  29.31022  00 50 36.984  +15 34 33.60  21.4w 20PQ7     F51  C~55jG      
2021 09  29.32171  00 50 36.777  +15 34 31.29  21.3w 20PQ7     F51  C~55jG      
2021 09  30.35123  00 50 18.566  +15 31 00.34  21.5w 20PQ7     F51  C~55jG      
2021 09  30.36605  00 50 18.286  +15 30 57.27  21.5w 20PQ7     F51  C~55jG      
2021 09  30.38084  00 50 18.023  +15 30 54.19  21.5w 20PQ7     F51  C~55jG      
2021 09  30.39690  00 50 17.735  +15 30 51.15  21.3w 20PQ7     F51  C~55jG      
2021 10  07.218245 00 48 15.49   +15 06 27.9   21.3G 20PQ7     G96  C~55jG      
2021 10  07.223412 00 48 15.43   +15 06 26.8   21.0G 20PQ7     G96  C~55jG      
2021 10  07.228581 00 48 15.30   +15 06 25.3   21.3G 20PQ7     G96  C~55jG      
2021 10  07.233748 00 48 15.19   +15 06 24.4   21.5G 20PQ7     G96  C~55jH      

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      0.00-37761.33       0.00 23189.74
     2   0.0000     -1.28-37761.15       1.39 23186.13
     3   0.0001     -2.27-37760.67       3.49 23183.21
     4   0.0001     -3.20-37760.11       4.46 23179.16
     5   0.9638  56469.09272169.46   -5249.69 51259.26
     6   0.9638  56470.50272041.18   -5248.07 51267.76
     7   0.9638  56471.66271912.63   -5246.42 51276.32
     8   0.9665  56581.63261361.29   -5114.84 51971.00
     9   1.1193  52390.60*********     285.72 86448.24
    10   1.1193  52388.08*********     286.03 86455.10
    11   1.1197  52352.16*********     291.18 86549.18
    12   1.1198  52349.63*********     291.61 86556.58
    13   1.1198  52346.71*********     291.80 86563.74
    14   1.1198  52343.98*********     292.23 86571.16
    15   1.2040  43883.86*********    -241.81113001.21
    16   1.2041  43880.53*********    -242.45113016.22
    17   1.2041  43877.41*********    -243.28113031.07
    18   1.2041  43874.10*********    -243.92113046.23
    19   1.3546  33400.49*********   -7558.82-35736.61
    20   1.3547  33399.81*********   -7561.07-35677.53
    21   1.3547  33399.42*********   -7562.87-35618.32
    22   1.3598  33351.27*********   -7890.38-26665.21
    23   2.1685 142226.66258604.66   -3518.61   270.75
    24   2.1685 142223.44258612.98   -3519.58   270.89
    25   2.1685 142220.76258621.80   -3519.28   272.30
    26   2.1817 140652.74262631.35   -3726.29   787.37
    27   2.1817 140648.33262640.57   -3726.73   789.02
    28   2.1817 140644.57262650.44   -3727.42   790.42
    29   2.1818 140640.04262659.56   -3728.12   791.84
    30   2.1821 140597.74262750.26   -3734.34   806.95
    31   2.1821 140594.20262757.99   -3734.94   808.23
    32   2.1822 140590.45262765.50   -3735.59   809.48
    33   2.1822 140587.03262773.26   -3736.19   810.77
    34   2.2040 137717.82267606.25   -4296.21  2101.36
    35   2.2040 137714.15267612.28   -4297.20  2103.60
    36   2.2040 137709.04267616.83   -4298.15  2105.89
    37   2.2337 133484.65270350.11   -5466.40  4537.68
    38   2.2581 129939.87269300.42   -6745.31  6903.17
    39   2.2581 129935.30269297.49   -6747.18  6906.20
    40   2.2582 129930.70269294.51   -6749.02  6909.25
    41   2.2582 129926.09269291.50   -6750.63  6912.57
    42   2.2605 129595.45269043.67   -6885.02  7146.53
    43   2.2605 129592.94269041.75   -6886.02  7148.17
    44   2.2605 129589.27269039.01   -6887.53  7150.87
    45   2.2610 129526.44268988.72   -6913.24  7194.43
    46   2.2610 129525.94268988.34   -6913.41  7194.77
    47   2.2610 129525.48268987.99   -6913.60  7195.09
    48   2.2614 129462.56268937.25   -6938.87  7238.28
    49   2.2615 129454.54268930.35   -6942.03  7243.79
    50   2.2615 129446.75268923.57   -6945.22  7249.21
    51   2.2616 129439.29268917.04   -6948.31  7254.67
    52   2.2748 127584.98266954.25   -7763.61  8609.45
    53   2.2748 127580.47266948.64   -7765.82  8612.50
    54   2.2748 127575.49266942.53   -7767.73  8615.86
    55   2.2749 127571.35266937.23   -7769.83  8619.05
    56   2.2749 127567.60266932.53   -7771.50  8621.60
    57   2.2749 127562.96266926.60   -7773.91  8624.78
    58   2.2749 127558.34266920.65   -7775.62  8628.64
    59   2.3237 121578.80254018.78  -11266.08 13492.72
    60   2.3537 118928.64242845.07  -13660.76 16128.31
    61   2.3537 118926.37242832.86  -13663.17 16130.89
    62   2.3537 118924.23242820.77  -13665.50 16133.56
    63   2.3537 118921.74242808.26  -13668.34 16135.74
    64   2.4087 116895.27219380.87  -18164.62 19910.84
    65   2.4769 120228.59189821.78  -23301.18 22841.83
    66   2.4878 121386.14185288.57  -24035.90 23171.62
    67   2.4878 121389.62185275.26  -24038.01 23172.49
    68   2.4879 121393.07185261.88  -24040.07 23173.42
    69   2.4879 121397.00185248.81  -24042.30 23174.21
    70   3.2225 362056.09169405.66  -12955.73 62970.01
    71   3.2225 362047.48169310.50  -12957.46 62971.65
    72   3.2226 362038.76169214.83  -12960.49 62971.98
    73   3.2275 360817.03155171.29  -13329.89 63079.24
    74   3.2275 360809.45155083.80  -13332.41 63079.82
    75   3.2276 360801.56154995.59  -13334.34 63081.03
    76   3.2276 360793.45154907.07  -13336.83 63081.66
    77   3.2281 360662.95153472.22  -13374.01 63095.09
    78   3.2281 360662.33153465.31  -13374.34 63095.00
    79   3.2412 357041.03112485.16  -14467.73 63383.13
    80   3.2413 357030.55112367.82  -14470.86 63384.11
    81   3.2413 357019.36112249.87  -14473.59 63385.49
    82   3.2414 357009.16112132.85  -14476.92 63386.29
    83   3.2466 355453.62 94353.82  -14949.33 63510.24
    84   3.2467 355401.24 93766.72  -14964.37 63515.52
    85   3.2469 355349.34 93179.42  -14980.04 63520.02
    86   3.2877 341688.65-93076.93  -19282.82 65556.81
    87   3.2877 341677.86-93259.45  -19285.94 65559.99
    88   3.2877 341666.75-93442.78  -19290.15 65562.09
    89   3.2878 341654.25-93628.89  -19293.59 65565.00
    90   3.2909 340541.97*********  -19658.23 65841.73
    91   3.2929 339809.17*********  -19903.97 66034.25
    92   3.2930 339797.89*********  -19907.92 66037.45
    93   3.2930 339786.15*********  -19911.55 66040.96
    94   3.2930 339774.62*********  -19915.24 66044.41
    95   3.2958 338761.09*********  -20253.20 66341.64
    96   3.2959 338745.57*********  -20258.05 66346.52
    97   3.2959 338730.95*********  -20262.98 66351.31
    98   3.2960 338715.01*********  -20267.74 66357.12
    99   3.3146 332000.29*********  -22582.86 69416.77
   100   3.3147 331996.96*********  -22584.70 69420.00
   101   3.3147 331989.92*********  -22587.02 69422.75
   102   3.3147 331984.03*********  -22588.28 69426.56

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.

20PQ7    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        20.005    20.005    20.005
ecceobj         0.663     0.663     0.663
incobj         22.455    22.455    22.455
qmin            6.444     6.515     6.304
qmax           33.262    33.261    49.969
amean          19.222    19.471    22.844
amin           18.860    19.178    17.949
amax           20.005    20.005    28.355
emean           0.650     0.656     0.702
emin            0.638     0.648     0.641
emax            0.664     0.663     0.762
imean          22.145    22.776    23.557
imin           21.725    22.659    22.558
imax           23.005    23.005    24.598
excite_mean     0.751     0.762     0.808
fracstop        0.001     0.000     0.007
cjmean          2.697     2.672     2.475

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       186.2     177.5     220.7
kozaiamp         11.2       3.9      37.2