Orbit Fit and Astrometric record for 24LC5

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: 24LC5     
# Created Sun Nov 24 02:11:16 2024
# Orbit generated from Bernstein formalism
# Fitting     49 observations of     49
# Arc: 155.85d
# First observation: 2024/05/18
#  Last observation: 2024/10/21
Preliminary a, adot, b, bdot, g, gdot:
  -0.006875   0.649058  -0.003010   0.247518   0.205071   0.000000
# Chi-squared of fit:   104.68 DOF:     92 RMS:  0.26
# Min/Max residuals:    -0.93    0.97
# Exact a, adot, b, bdot, g, gdot:
  4.769445E-05  4.635535E-01  2.033360E-05  2.311246E-01  1.630325E-01  7.386642E-02
# Covariance matrix:
  2.6146E-13 -3.2727E-12 -1.1641E-14  1.4042E-12 -3.4327E-13  8.4601E-12
 -3.2727E-12  6.3440E-11 -1.0067E-12 -1.2379E-11  1.0366E-11 -4.6495E-11
 -1.1641E-14 -1.0067E-12  2.1363E-13 -1.5956E-12 -4.5428E-13 -1.0781E-11
  1.4042E-12 -1.2379E-11 -1.5956E-12  2.4174E-11  1.7923E-12  1.6509E-10
 -3.4327E-13  1.0366E-11 -4.5428E-13  1.7923E-12  2.4694E-12  2.1922E-11
  8.4601E-12 -4.6495E-11 -1.0781E-11  1.6509E-10  2.1922E-11  1.2329E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   17.581288  -36.940525    1.015720    0.023103   -0.073861  2460448.940651
# Heliocentric elements and errors
Epoch:              2460440.5000  =  2024/05/10
Mean Anomaly:          359.75995 +/-     0.002
Argument of Peri:       33.09399 +/-     0.010
Long of Asc Node:      285.55721 +/-     0.001
Inclination:            33.40840 +/-     0.000
Eccentricity:         0.64205098 +/-    0.0000
Semi-Major Axis:     17.57784212 +/-    0.0009
Time of Perihelion: 2460458.4491 +/-       0.1
Perihelion:           6.29197131 +/-    0.0005
Aphelion:            28.86371293 +/-    0.0016
Period (y)               73.6981 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            4.13225079 +/-    0.0000
Ecliptic Y           -4.36837435 +/-    0.0000
Ecliptic Z            1.85295490 +/-    0.0000
Ecliptic XDOT         0.00468061 +/-    0.0000
Ecliptic YDOT         0.00622177 +/-    0.0000
Ecliptic ZDOT         0.00407481 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    6.29218825 +/-    0.0000
Geocenter to KBO      6.13374741 +/-    0.0001
# Hcoef: 13.13

The following table shows the complete astrometric record for 24LC5. 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 (24LC5) followed by the observatory code and reference code for the source of the astrometry.

2024 05  18.43985  21 18 51.89   +02 49 20.9         24LC5     G96  C~85Nh      
2024 05  18.45564  21 18 52.04   +02 49 26.3   21.9G 24LC5     G96  C~85Nh      
2024 06  07.415032 21 19 30.176  +04 42 06.88  21.6G 24LC5     V00  C~85Nh      
2024 06  07.420673 21 19 30.166  +04 42 08.78  21.9G 24LC5     V00  C~85Nh      
2024 06  07.426283 21 19 30.155  +04 42 10.55  21.8G 24LC5     V00  C~85Nh      
2024 06  07.431886 21 19 30.130  +04 42 12.49  21.4G 24LC5     V00  C~85Nh      
2024 06  07.522318 21 19 29.795  +04 42 41.25  22.1w 24LC5     F52  C~85Nh      
2024 06  07.534795 21 19 29.729  +04 42 45.27  22.0w 24LC5     F52  C~85Nh      
2024 06  07.547326 21 19 29.679  +04 42 49.10  21.7w 24LC5     F52  C~85Nh      
2024 06  07.559850 21 19 29.624  +04 42 52.90  21.7w 24LC5     F52  C~85Nh      
2024 06  11.576202 21 19 08.904  +05 03 33.98  21.3G 24LC5     T14  C~85Nh      
2024 06  11.577411 21 19 08.897  +05 03 34.37  21.4G 24LC5     T14  C~85Nh      
2024 06  11.578623 21 19 08.889  +05 03 34.74  21.3G 24LC5     T14  C~85Nh      
2024 06  12.342528 21 19 03.94   +05 07 24.8   21.7G 24LC5     H21  C~85Nh      
2024 06  12.349755 21 19 03.88   +05 07 27.2   21.9G 24LC5     H21  C~85Nh      
2024 06  15.335567 21 18 41.25   +05 22 10.8   21.5G 24LC5     H21  C~85Nh      
2024 06  15.344101 21 18 41.19   +05 22 13.2   21.1G 24LC5     H21  C~85Nh      
2024 06  15.349789 21 18 41.15   +05 22 14.6   21.4G 24LC5     H21  C~85Nh      
2024 07  01.547188 21 15 14.483  +06 32 57.20  21.4w 24LC5     F51  C~875G      
2024 07  01.560076 21 15 14.246  +06 33 00.19  21.4w 24LC5     F51  C~875G      
2024 07  01.573036 21 15 14.023  +06 33 03.16  21.3w 24LC5     F51  C~875G      
2024 07  03.342000 21 14 43.547  +06 39 43.15  21.4G 24LC5     G37  C~892c      
2024 07  03.382300 21 14 42.811  +06 39 52.17        24LC5     G37  C~892c      
2024 07  03.419640 21 14 42.129  +06 40 00.36        24LC5     G37  C~892c      
2024 08  03.462470 21 02 52.246  +07 57 31.20  21.2w 24LC5     F51  C~8Aki      
2024 08  03.471782 21 02 52.003  +07 57 31.96  21.2w 24LC5     F51  C~8Aki      
2024 08  03.481244 21 02 51.751  +07 57 32.64  21.1w 24LC5     F51  C~8Aki      
2024 09  01.269991 20 51 10.840  +08 03 48.86  21.2w 24LC5     F52  C~8Dse      
2024 09  01.277988 20 51 10.664  +08 03 48.50  21.1w 24LC5     F52  C~8Dse      
2024 09  01.285921 20 51 10.495  +08 03 48.25  21.2w 24LC5     F52  C~8Dse      
2024 09  01.293902 20 51 10.328  +08 03 48.00  21.1w 24LC5     F52  C~8Dse      
2024 09  09.173598 20 48 40.324  +07 57 13.03  20.5G 24LC5     G96  C~8Dse      
2024 09  09.178791 20 48 40.223  +07 57 11.52  21.3G 24LC5     G96  C~8Dse      
2024 09  09.183980 20 48 40.090  +07 57 11.16  21.3G 24LC5     G96  C~8Dse      
2024 09  09.189174 20 48 39.982  +07 57 10.91  21.3G 24LC5     G96  C~8Dse      
2024 09  10.307567 20 48 21.061  +07 56 03.56  21.1w 24LC5     F52  C~8G1H      
2024 09  10.316238 20 48 20.910  +07 56 03.15  21.2w 24LC5     F52  C~8G1H      
2024 09  10.324922 20 48 20.751  +07 56 02.50  21.1w 24LC5     F52  C~8G1H      
2024 09  10.333581 20 48 20.608  +07 56 02.01  21.2w 24LC5     F52  C~8G1H      
2024 09  20.351395 20 45 59.362  +07 44 23.19  21.0i 24LC5     F51  C~8Hez      
2024 09  20.360661 20 45 59.261  +07 44 22.64  21.1i 24LC5     F51  C~8Hez      
2024 09  20.371802 20 45 59.121  +07 44 21.57  21.0i 24LC5     F51  C~8Hez      
2024 10  03.252913 20 44 21.350  +07 27 19.52  21.4w 24LC5     F51  C~8Hez      
2024 10  03.263302 20 44 21.316  +07 27 18.83  21.3w 24LC5     F51  C~8Hez      
2024 10  03.274644 20 44 21.264  +07 27 17.75  21.3w 24LC5     F51  C~8Hez      
2024 10  03.286535 20 44 21.213  +07 27 16.95  21.4w 24LC5     F51  C~8Hez      
2024 10  21.275862 20 44 56.608  +07 05 50.57  21.2w 24LC5     F51  C~8Mo3      
2024 10  21.284475 20 44 56.650  +07 05 49.89  21.1w 24LC5     F51  C~8Mo3      
2024 10  21.293093 20 44 56.716  +07 05 49.37  21.3w 24LC5     F51  C~8Mo3      

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    -0.56       0.00     0.43
     2   0.0000      3.85    -0.14       4.40     0.02
     3   0.0547   2697.38    -0.48    6234.13    -0.13
     4   0.0547   2697.84    -0.23    6235.98    -0.09
     5   0.0547   2698.25    -0.04    6237.71    -0.15
     6   0.0547   2698.51     0.01    6239.67     0.01
     7   0.0550   2702.92     0.03    6268.56     0.02
     8   0.0550   2703.27    -0.09    6272.69     0.15
     9   0.0551   2703.78    -0.03    6276.56     0.00
    10   0.0551   2704.21    -0.05    6280.43    -0.14
    11   0.0661   2805.89    -0.09    7557.12     0.01
    12   0.0661   2805.91    -0.06    7557.52     0.02
    13   0.0661   2805.92    -0.06    7557.91     0.02
    14   0.0682   2809.10     0.18    7799.90    -0.06
    15   0.0682   2809.01     0.14    7802.46     0.19
    16   0.0764   2770.05     0.70    8749.30     0.22
    17   0.0764   2769.96     0.90    8751.86     0.06
    18   0.0764   2769.84     0.97    8753.38    -0.23
    19   0.1208   1199.49    -0.02   13772.76    -0.06
    20   0.1208   1197.09    -0.18   13776.74     0.02
    21   0.1208   1194.89    -0.13   13780.63    -0.00
    22   0.1257    891.84    -0.04   14307.17     0.01
    23   0.1258    884.31    -0.06   14319.28     0.07
    24   0.1259    877.29    -0.11   14330.34    -0.04
    25   0.2109  -7667.15    -0.27   22205.10    -0.19
    26   0.2109  -7670.34    -0.19   22207.02    -0.15
    27   0.2109  -7673.69    -0.21   22208.91    -0.18
    28   0.2897 -17507.89     0.20   26061.37    -0.10
    29   0.2898 -17510.52     0.10   26061.91    -0.11
    30   0.2898 -17513.01     0.12   26062.53    -0.05
    31   0.2898 -17515.48     0.18   26063.13    -0.01
    32   0.3114 -19787.63     0.39   26444.92     0.82
    33   0.3114 -19789.57    -0.13   26443.98    -0.30
    34   0.3114 -19791.59    -0.73   26444.31    -0.14
    35   0.3114 -19793.22    -0.93   26444.62    -0.01
    36   0.3145 -20086.01     0.01   26476.24    -0.16
    37   0.3145 -20088.30     0.04   26476.62    -0.03
    38   0.3145 -20090.79    -0.12   26476.80    -0.10
    39   0.3146 -20093.00    -0.00   26477.06    -0.09
    40   0.3420 -22346.71     0.13   26526.64     0.08
    41   0.3420 -22348.34     0.33   26526.63     0.18
    42   0.3420 -22350.70     0.15   26526.32     0.01
    43   0.3773 -24092.71    -0.03   26044.47    -0.02
    44   0.3773 -24093.43     0.17   26043.98     0.06
    45   0.3774 -24094.53     0.06   26043.20    -0.09
    46   0.3774 -24095.53     0.11   26042.70     0.06
    47   0.4267 -24012.51     0.21   24623.69     0.14
    48   0.4267 -24012.13    -0.11   24622.82     0.08
    49   0.4267 -24011.35    -0.04   24621.98     0.04

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.