Orbit Fit and Astrometric record for 16LS

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: 16LS      
# Created Fri Dec  3 02:13:48 2021
# Orbit generated from Bernstein formalism
# Fitting     61 observations of     64
# Arc:   1.14y
# First observation: 2015/05/15
#  Last observation: 2016/07/05
Preliminary a, adot, b, bdot, g, gdot:
   0.003794  -0.428304   0.001411  -0.699445   0.238013   0.000000
# Chi-squared of fit:   102.02 DOF:    116 RMS:  0.23
# Min/Max residuals:    -0.92    0.52
# Exact a, adot, b, bdot, g, gdot:
 -3.027873E-05 -3.675074E-01 -4.394633E-05 -5.644100E-01  1.943423E-01 -2.958415E-02
# Covariance matrix:
  1.2359E-13 -3.7361E-13 -5.6942E-15 -4.3228E-13  2.0236E-13  6.3996E-13
 -3.7361E-13  2.5569E-12 -1.5452E-13  3.5895E-12 -6.8133E-13 -4.9638E-12
 -5.6942E-15 -1.5452E-13  9.0150E-14 -3.0611E-13 -6.7767E-14  3.0707E-13
 -4.3228E-13  3.5895E-12 -3.0611E-13  5.3000E-12 -8.6075E-13 -7.1786E-12
  2.0236E-13 -6.8133E-13 -6.7767E-14 -8.6075E-13  6.8228E-13  1.3722E-12
  6.3996E-13 -4.9638E-12  3.0707E-13 -7.1786E-12  1.3722E-12  9.9304E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   27.022784  -37.083382    1.008708    0.011662   -0.022668  2457158.071898
# Heliocentric elements and errors
Epoch:              2457150.5000  =  2015/05/08
Mean Anomaly:            1.71932 +/-     0.000
Argument of Peri:      141.17855 +/-     0.001
Long of Asc Node:      117.55988 +/-     0.000
Inclination:           114.37950 +/-     0.000
Eccentricity:         0.60802616 +/-    0.0000
Semi-Major Axis:     13.35743308 +/-    0.0007
Time of Perihelion: 2457065.3398 +/-       0.0
Perihelion:           5.23576434 +/-    0.0004
Aphelion:            21.47910182 +/-    0.0011
Period (y)               48.8194 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            3.06555554 +/-    0.0000
Ecliptic Y           -3.58409725 +/-    0.0000
Ecliptic Z            2.33771568 +/-    0.0000
Ecliptic XDOT        -0.00053887 +/-    0.0000
Ecliptic YDOT        -0.00609086 +/-    0.0000
Ecliptic ZDOT        -0.00727249 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    5.26386725 +/-    0.0000
Geocenter to KBO      5.14555985 +/-    0.0000
# Hcoef: 13.26

The following table shows the complete astrometric record for 16LS. 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 (16LS) followed by the observatory code and reference code for the source of the astrometry.

2015 05  15.57112  21 06 08.601  +11 43 24.47  20.8G 16LS      F51  C~2r7d      
2015 05  15.57188  21 06 08.559  +11 43 24.46  20.6G 16LS      F51  C~2r7d      
2015 05  15.58038  21 06 08.453  +11 43 23.89  20.9G 16LS      F51  C~2r7d      
2015 05  15.58116  21 06 08.461  +11 43 23.77  20.3G 16LS      F51  C~2r7d      
2015 05  15.58963  21 06 08.333  +11 43 23.21  20.4G 16LS      F51  C~2r7d      
2015 05  15.59040  21 06 08.310  +11 43 23.29  20.6G 16LS      F51  C~2r7d      
2015 05  15.59884  21 06 08.184  +11 43 22.53  20.9G 16LS      F51  C~2r7d      
2015 05  15.59963  21 06 08.185  +11 43 22.57  20.6G 16LS      F51  C~2r7d      
2015 06  04.53851  20 58 48.749  +11 00 09.24  21.0G 16LS      F51  C~2r7d      
2015 06  04.54994  20 58 48.381  +11 00 07.17  21.5G 16LS      F51  C~2r7d      
2015 06  04.56140  20 58 48.025  +11 00 05.01  21.5G 16LS      F51  C~2r7d      
2015 06  04.57289  20 58 47.676  +11 00 02.72  21.0G 16LS      F51  C~2r7d      
2015 06  26.46154  20 44 24.672  +09 20 10.67  20.6G 16LS      F51  C~2r7d      
2015 06  26.47347  20 44 24.094  +09 20 06.28  20.7G 16LS      F51  C~2r7d      
2015 06  26.48540  20 44 23.520  +09 20 02.00  20.9G 16LS      F51  C~2r7d      
2015 06  27.42897  20 43 38.299  +09 14 14.88  20.2i 16LS      F51  C~1UAO      
2015 06  27.45232  20 43 37.166  +09 14 06.17  20.1i 16LS      F51  C~1UAO      
2015 06  27.46399  20 43 36.599  +09 14 01.69  20.2i 16LS      F51  C~1UAO      
2015 06  28.05148  20 43 08.11   +09 10 20.5   20.5V 16LS      I93  C~1UAO      
2015 06  28.06570  20 43 07.38   +09 10 15.4   20.7V 16LS      I93  C~1UAO      
2015 06  28.07423  20 43 06.96   +09 10 12.1   20.5V 16LS      I93  C~1UAO      
2015 06  28.264601 20 42 57.78   +09 09 01.3   20.3V 16LS      H21  C~1UAO      
2015 06  28.270899 20 42 57.44   +09 08 58.8   20.1V 16LS      H21  C~1UAO      
2015 06  28.278278 20 42 57.06   +09 08 55.9   20.0V 16LS      H21  C~1UAO      
2015 06  30.39181  20 41 12.50   +08 55 14.5   20.0R 16LS      291  C~1UAO      
2015 06  30.41238  20 41 11.46   +08 55 06.2   20.1R 16LS      291  C~1UAO      
2015 07  15.41675  20 27 43.453  +06 59 33.64  20.6w 16LS      F51  C~1tiK      
2015 07  15.42867  20 27 42.764  +06 59 27.33  20.5w 16LS      F51  C~1tiK      
2015 07  15.44068  20 27 42.080  +06 59 20.78  20.8w 16LS      F51  C~1tiK      
2016 06  01.58899  20 26 02.230  -26 29 03.55  21.2w 16LS      F51  C~1u7r      
2016 06  01.59351  20 26 02.070  -26 29 05.62  21.0w 16LS      F51  C~1u7r      
2016 06  01.59803  20 26 01.905  -26 29 07.93  21.1w 16LS      F51  C~1u7r      
2016 06  01.60255  20 26 01.745  -26 29 10.05  21.2w 16LS      F51  C~1u7r      
2016 06  02.613091 20 25 26.860  -26 37 29.15  20.7R 16LS      568  C~1u7r      
2016 06  02.614126 20 25 26.823  -26 37 29.64  20.7R 16LS      568  C~1u7r      
2016 06  02.615160 20 25 26.784  -26 37 30.19  20.6R 16LS      568  C~1u7r      
2016 06  02.616194 20 25 26.746  -26 37 30.74  20.7R 16LS      568  C~1u7r      
2016 06  02.617229 20 25 26.713  -26 37 31.22  20.7R 16LS      568  C~1u7r      
2016 06  03.60441  20 24 51.80   -26 45 39.2   21.1R 16LS      474  C~1u7r      
2016 06  03.60793  20 24 51.68   -26 45 41.0   20.8R 16LS      474  C~1u7r      
2016 06  03.610929 20 24 51.528  -26 45 44.49  20.9R 16LS      568  C~1u7r      
2016 06  03.61144  20 24 51.55   -26 45 42.6   21.3R 16LS      474  C~1u7r      
2016 06  03.611575 20 24 51.509  -26 45 44.65  21.1R 16LS      568  C~1u7r      
2016 06  03.612194 20 24 51.490  -26 45 45.07  21.0R 16LS      568  C~1u7r      
2016 06  03.612866 20 24 51.461  -26 45 45.34  21.0R 16LS      568  C~1u7r      
2016 06  03.614215 20 24 51.414  -26 45 46.00  21.1R 16LS      568  C~1u7r      
2016 06  03.61496  20 24 51.44   -26 45 44.8   21.2R 16LS      474  C~1u7r      
2016 06  03.615020 20 24 51.389  -26 45 46.39  21.2R 16LS      568  C~1u7r      
2016 06  03.615679 20 24 51.361  -26 45 46.76  20.9R 16LS      568  C~1u7r      
2016 06  03.616419 20 24 51.328  -26 45 47.02  20.9R 16LS      568  C~1u7r      
2016 06  03.617127 20 24 51.309  -26 45 47.45  21.2R 16LS      568  C~1u7r      
2016 06  04.596861 20 24 15.790  -26 53 56.42  21.4R 16LS      568  C~1u7r      
2016 06  04.599359 20 24 15.697  -26 53 57.65  21.3R 16LS      568  C~1u7r      
2016 06  04.63023  20 24 14.59   -26 54 11.3   20.6R 16LS      474  C~1u7r      
2016 06  04.63375  20 24 14.49   -26 54 13.5   20.7R 16LS      474  C~1u7r      
2016 06  04.63727  20 24 14.30   -26 54 14.6   20.3R 16LS      474  C~1u7r      
2016 06  07.555067 20 22 23.480  -27 18 45.96  21.1R 16LS      568  C~1u7r      
2016 06  07.555758 20 22 23.467  -27 18 46.29  21.0R 16LS      568  C~1u7r      
2016 06  07.595969 20 22 21.853  -27 19 06.74  21.0R 16LS      568  C~1u7r      
2016 06  07.596730 20 22 21.817  -27 19 07.02  20.8R 16LS      568  C~1u7r      
2016 06  11.584387 20 19 38.569  -27 53 01.87  20.8R 16LS      568  C~1u7r      
2016 06  11.590891 20 19 38.287  -27 53 05.17  20.8R 16LS      568  C~1u7r      
2016 06  11.591609 20 19 38.251  -27 53 05.58  20.7R 16LS      568  C~1u7r      
2016 07  05.44390  19 59 21.265  -31 16 52.87  20.8G 16LS      F51  C~2r7d      

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     0.08       0.00    -0.41
     2   0.0000     -0.59    -0.34       0.19    -0.21
     3   0.0000     -2.24    -0.11       0.16    -0.21
     4   0.0000     -2.17     0.14       0.00    -0.35
     5   0.0001     -4.13     0.06       0.08    -0.23
     6   0.0001     -4.43    -0.06       0.27    -0.04
     7   0.0001     -6.42    -0.18       0.15    -0.12
     8   0.0001     -6.40     0.03       0.18    -0.08
     9   0.0547  -6964.12     0.14    -336.76    -0.05
    10   0.0547  -6969.92     0.02    -336.92     0.10
    11   0.0547  -6975.59     0.04    -337.23     0.10
    12   0.0548  -6981.20     0.15    -337.70    -0.05
    13   0.1147 -21064.67     0.04   -1715.25     0.07
    14   0.1147 -21074.30    -0.00   -1716.47     0.02
    15   0.1148 -21083.85     0.05   -1717.61     0.05
    16   0.1173 -21839.66    -0.07   -1816.76     0.22
    17   0.1174 -21858.61     0.04   -1819.25     0.13
    18   0.1174 -21868.13     0.05   -1820.61    -0.03
    19   0.1190 -22345.59     0.10   -1885.23    -0.31
    20   0.1191 -22357.63    -0.23   -1886.35     0.09
    21   0.1191 -22364.69    -0.26   -1887.34     0.01
    22   0.1196 -22518.45 (   1.03)  -1907.68 (   0.75)
    23   0.1196 -22524.10 (   0.58)  -1908.32 (   0.79)
    24   0.1197 -22530.46 (   0.32)  -1909.13 (   0.77)
    25   0.1255 -24289.50    -0.00   -2153.92     0.38
    26   0.1255 -24307.06     0.03   -2156.46     0.24
    27   0.1666 -38292.19     0.16   -4548.33     0.36
    28   0.1666 -38304.42     0.09   -4550.71     0.32
    29   0.1667 -38316.67     0.11   -4553.36     0.03
    30   1.0486 -92659.64     0.22 -142069.51     0.03
    31   1.0487 -92663.64     0.27 -142072.05     0.28
    32   1.0487 -92667.86     0.08 -142074.93     0.18
    33   1.0487 -92671.89     0.10 -142077.55     0.35
    34   1.0514 -93572.91     0.04 -142706.86    -0.12
    35   1.0515 -93573.84     0.05 -142707.47    -0.09
    36   1.0515 -93574.85    -0.01 -142708.16    -0.14
    37   1.0515 -93575.83    -0.05 -142708.86    -0.20
    38   1.0515 -93576.69     0.04 -142709.47    -0.16
    39   1.0542 -94474.80    -0.40 -143325.63     0.36
    40   1.0542 -94477.97    -0.29 -143327.95     0.26
    41   1.0542 -94482.70    -0.17 -143332.76    -0.18
    42   1.0542 -94481.19    -0.24 -143329.91     0.50
    43   1.0542 -94483.13     0.01 -143332.93     0.05
    44   1.0542 -94483.71     0.01 -143333.51    -0.14
    45   1.0542 -94484.38    -0.03 -143333.81    -0.02
    46   1.0542 -94485.59     0.02 -143334.65    -0.01
    47   1.0542 -94484.42    -0.19 -143332.89    -0.26
    48   1.0542 -94486.26     0.10 -143335.16    -0.02
    49   1.0542 -94486.97     0.00 -143335.62    -0.07
    50   1.0542 -94487.70    -0.03 -143335.89     0.12
    51   1.0542 -94488.29     0.04 -143336.48    -0.02
    52   1.0569 -95400.83    -0.03 -143955.98    -0.28
    53   1.0569 -95403.20    -0.01 -143957.53    -0.25
    54   1.0570 -95430.73    -0.22 -143974.42    -0.11
    55   1.0570 -95433.80     0.06 -143977.46    -0.92
    56   1.0570 -95437.78    -0.56 -143978.42     0.35
    57   1.0650 -98273.56    -0.23 -145853.44    -0.33
    58   1.0650 -98273.99     0.04 -145853.91    -0.36
    59   1.0651 -98314.93    -0.10 -145879.96    -0.47
    60   1.0651 -98315.73    -0.14 -145880.27    -0.28
    61   1.0760-102469.37     0.40 -148503.63     0.47
    62   1.0760-102476.47     0.42 -148507.89     0.52
    63   1.0760-102477.37     0.31 -148508.41     0.47
    64   1.1413-133645.70     0.33 -165583.57     0.18

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.

16LS    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        13.282    13.283    13.281
ecceobj         0.604     0.604     0.604
incobj        114.358   114.358   114.358
qmin            4.263     4.562     4.969
qmax           25.359    24.004    23.315
amean          13.908    13.450    13.741
amin           12.882    12.902    12.860
amax           14.916    14.319    14.407
emean           0.656     0.636     0.607
emin            0.604     0.604     0.591
emax            0.704     0.678     0.641
imean         112.926   113.279   111.973
imin          112.134   112.740   110.890
imax          114.109   113.890   113.540
excite_mean     1.131     1.117     1.108
fracstop        0.004     0.002     0.009
cjmean          1.779     1.839     1.799

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       121.9     127.2     130.4
kozaiamp         16.7      12.9      17.7