Orbit Fit and Astrometric record for 13RF98

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: 13RF98    
# Created Tue Apr  1 01:09:33 2025
# Orbit generated from Bernstein formalism
# Fitting     55 observations of     55
# Arc:   2.99y
# First observation: 2013/09/12
#  Last observation: 2016/09/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.000044   0.036415  -0.000002   0.016219   0.028021   0.000000
# Chi-squared of fit:    28.20 DOF:    104 RMS:  0.13
# Min/Max residuals:    -0.34    0.33
# Exact a, adot, b, bdot, g, gdot:
  2.187153E-05  3.673524E-02  1.086512E-05  1.641221E-02  2.808402E-02  3.454229E-03
# Covariance matrix:
  1.0701E-13  1.0766E-13  3.6942E-15  6.0022E-14  1.7543E-13  1.3274E-12
  1.0766E-13  6.8944E-13 -7.7692E-15  3.1740E-13  4.4818E-13  6.6741E-12
  3.6942E-15 -7.7692E-15  4.0213E-14 -1.8446E-14  5.4354E-15 -6.4814E-14
  6.0022E-14  3.1740E-13 -1.8446E-14  1.6757E-13  2.1603E-13  3.1577E-12
  1.7543E-13  4.4818E-13  5.4354E-15  2.1603E-13  4.9336E-13  4.6781E-12
  1.3274E-12  6.6741E-12 -6.4814E-14  3.1577E-12  4.6781E-12  6.6557E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -18.608799   33.234208    0.697348   -0.231794   -0.688740  2456547.844482
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:            0.18312 +/-     0.001
Argument of Peri:      312.18229 +/-     0.024
Long of Asc Node:       67.68148 +/-     0.000
Inclination:            29.51219 +/-     0.000
Eccentricity:         0.90295377 +/-    0.0001
Semi-Major Axis:    372.20340195 +/-    0.3612
Time of Perihelion: 2455206.3342 +/-       3.7
Perihelion:          36.12093853 +/-    0.0497
Aphelion:           708.28586536 +/-    0.6882
Period (y)             7180.8972 +/-     10.45
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.21569069 +/-    0.0007
Ecliptic Y           18.31302130 +/-    0.0005
Ecliptic Z          -11.36216559 +/-    0.0003
Ecliptic XDOT        -0.00127492 +/-    0.0000
Ecliptic YDOT         0.00344903 +/-    0.0000
Ecliptic ZDOT         0.00140902 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.30457462 +/-    0.0006
Geocenter to KBO     35.60743449 +/-    0.0009
# Hcoef:  8.66

The following table shows the complete astrometric record for 13RF98. 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 (13RF98) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.343704 02 29 07.61   -04 56 34.6   23.5z 13RF98    W84  C~1I28      
2013 09  12.364572 02 29 07.56   -04 56 35.0   24.6i 13RF98    W84  C~1I28      
2013 09  12.382569 02 29 07.50   -04 56 35.4   24.7i 13RF98    W84  C~1I28      
2013 09  29.270208 02 28 05.79   -05 04 36.8   24.3i 13RF98    W84  C~1I28      
2013 09  29.274699 02 28 05.77   -05 04 36.9   24.0i 13RF98    W84  C~1I28      
2013 09  29.283715 02 28 05.74   -05 04 37.1   24.8i 13RF98    W84  C~1I28      
2013 09  29.316852 02 28 05.57   -05 04 38.1   24.4r 13RF98    W84  C~1I28      
2013 10  03.185035 02 27 48.69   -05 06 22.9   23.6z 13RF98    W84  C~1I28      
2013 10  03.220868 02 27 48.53   -05 06 23.9   23.7i 13RF98    W84  C~1I28      
2013 10  03.225394 02 27 48.52   -05 06 23.9   23.3i 13RF98    W84  C~1I28      
2013 10  03.229965 02 27 48.49   -05 06 24.1   24.1i 13RF98    W84  C~1I28      
2013 10  03.234537 02 27 48.48   -05 06 24.2   24.4i 13RF98    W84  C~1I28      
2013 10  03.239144 02 27 48.46   -05 06 24.1   23.9i 13RF98    W84  C~1I28      
2013 10  03.279769 02 27 48.27   -05 06 25.4   24.2r 13RF98    W84  C~1I28      
2013 10  03.284792 02 27 48.25   -05 06 25.6   23.7r 13RF98    W84  C~1I28      
2013 10  10.215833 02 27 15.96   -05 09 23.6   24.6g 13RF98    W84  C~1I28      
2013 10  10.218484 02 27 15.96   -05 09 23.6   24.6g 13RF98    W84  C~1I28      
2013 10  10.328981 02 27 15.39   -05 09 26.4   23.3z 13RF98    W84  C~1I28      
2013 10  11.127616 02 27 11.54   -05 09 45.8   23.7i 13RF98    W84  C~1I28      
2013 10  11.132106 02 27 11.53   -05 09 46.1   23.8i 13RF98    W84  C~1I28      
2013 10  11.136609 02 27 11.50   -05 09 46.2   24.0i 13RF98    W84  C~1I28      
2013 10  11.141123 02 27 11.48   -05 09 46.2   23.5i 13RF98    W84  C~1I28      
2013 10  11.145613 02 27 11.45   -05 09 46.4   23.9i 13RF98    W84  C~1I28      
2013 10  11.192720 02 27 11.22   -05 09 47.6   23.9r 13RF98    W84  C~1I28      
2013 10  11.197755 02 27 11.20   -05 09 47.6   24.2r 13RF98    W84  C~1I28      
2013 10  11.202743 02 27 11.17   -05 09 47.8   23.9r 13RF98    W84  C~1I28      
2013 10  15.138333 02 26 51.74   -05 11 20.4   24.1i 13RF98    W84  C~1I28      
2013 10  15.142813 02 26 51.72   -05 11 20.6   24.0i 13RF98    W84  C~1I28      
2013 10  15.151806 02 26 51.68   -05 11 20.6   24.2i 13RF98    W84  C~1I28      
2013 10  15.157731 02 26 51.66   -05 11 21.0   24.4r 13RF98    W84  C~1I28      
2013 11  06.145567 02 24 56.88   -05 17 43.6   24.2g 13RF98    W84  C~1I28      
2013 11  06.148229 02 24 56.88   -05 17 43.8   24.8g 13RF98    W84  C~1I29      
2013 11  06.150903 02 24 56.87   -05 17 43.8   24.9g 13RF98    W84  C~1I29      
2013 11  06.253773 02 24 56.31   -05 17 45.0   24.0i 13RF98    W84  C~1I29      
2013 11  06.258322 02 24 56.28   -05 17 45.0   24.1i 13RF98    W84  C~1I29      
2013 11  07.053993 02 24 52.12   -05 17 53.7   24.3r 13RF98    W84  C~1I29      
2013 11  07.058970 02 24 52.09   -05 17 53.7   24.4r 13RF98    W84  C~1I29      
2013 11  07.063947 02 24 52.09   -05 17 53.7   24.1r 13RF98    W84  C~1I29      
2014 09  22.484584 02 35 15.63   -03 25 59.7         13RF98    T09  C~89NP      
2015 01  21.324177 02 27 34.84   -03 23 30.2         13RF98    T09  C~89NP      
2015 01  21.346059 02 27 34.85   -03 23 29.4         13RF98    T09  C~89NP      
2016 02  09.286829 02 34 23.09   -01 37 33.1         13RF98    T09  C~89NP      
2016 09  01.07529  02 49 16.85   -00 09 24.3   24.0R 13RF98    950  C~240V      
2016 09  01.20478  02 49 16.63   -00 09 27.0   23.7R 13RF98    950  C~240V      
2016 09  05.114385 02 49 09.83   -00 10 52.0   24.6r 13RF98    950  C~1ztS      
2016 09  06.122606 02 49 07.83   -00 11 14.2   24.4r 13RF98    950  C~1ztS      
2016 09  06.129458 02 49 07.81   -00 11 14.5   24.4r 13RF98    950  C~1ztS      
2016 09  06.142113 02 49 07.79   -00 11 14.7   24.5r 13RF98    950  C~1ztS      
2016 09  06.148191 02 49 07.78   -00 11 14.7   24.5r 13RF98    950  C~1ztS      
2016 09  06.151823 02 49 07.77   -00 11 14.8   24.5r 13RF98    950  C~1ztS      
2016 09  07.154454 02 49 05.70   -00 11 37.3   24.5r 13RF98    950  C~1ztS      
2016 09  08.116547 02 49 03.61   -00 11 59.1   24.6r 13RF98    950  C~1ztS      
2016 09  08.120114 02 49 03.60   -00 11 59.1   24.6r 13RF98    950  C~1ztS      
2016 09  08.123483 02 49 03.60   -00 11 59.3   24.5r 13RF98    950  C~1ztS      
2016 09  08.126326 02 49 03.59   -00 11 59.4   24.5r 13RF98    950  C~1ztS      

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    -0.25       0.00    -0.34
     2   0.0001     -0.84     0.03      -0.13    -0.22
     3   0.0001     -1.82     0.00      -0.21    -0.08
     4   0.0463  -1031.74     0.19    -146.22    -0.19
     5   0.0464  -1032.05     0.19    -146.22    -0.16
     6   0.0464  -1032.54     0.33    -146.26    -0.16
     7   0.0465  -1035.27    -0.07    -146.35    -0.11
     8   0.0571  -1307.99    -0.13    -161.03     0.08
     9   0.0572  -1310.58    -0.10    -161.18     0.02
    10   0.0572  -1310.72     0.09    -161.13     0.08
    11   0.0572  -1311.21    -0.06    -161.17     0.06
    12   0.0572  -1311.38     0.10    -161.21     0.02
    13   0.0572  -1311.63     0.19    -161.02     0.23
    14   0.0573  -1314.74     0.05    -161.30     0.05
    15   0.0573  -1315.09     0.07    -161.39    -0.03
    16   0.0763  -1829.27     0.11    -168.38     0.07
    17   0.0763  -1829.27     0.31    -168.38     0.07
    18   0.0766  -1838.24    -0.10    -168.18     0.13
    19   0.0788  -1898.93    -0.05    -167.30     0.23
    20   0.0788  -1899.18     0.06    -167.54    -0.01
    21   0.0788  -1899.63    -0.05    -167.48     0.04
    22   0.0788  -1899.91     0.02    -167.38     0.13
    23   0.0789  -1900.40    -0.12    -167.42     0.08
    24   0.0790  -1904.04    -0.10    -167.41     0.02
    25   0.0790  -1904.32     0.01    -167.31     0.11
    26   0.0790  -1904.81    -0.09    -167.35     0.06
    27   0.0898  -2209.37    -0.12    -157.94     0.10
    28   0.0898  -2209.72    -0.12    -158.03    -0.00
    29   0.0898  -2210.28     0.03    -157.83     0.16
    30   0.0898  -2210.70     0.09    -158.11    -0.14
    31   0.1500  -3955.20    -0.21      51.67     0.22
    32   0.1500  -3955.27    -0.07      51.48    -0.01
    33   0.1501  -3955.41     0.00      51.53    -0.00
    34   0.1503  -3963.70    -0.14      53.18    -0.01
    35   0.1503  -3964.12    -0.21      53.33     0.07
    36   0.1525  -4025.64    -0.11      65.78    -0.06
    37   0.1525  -4026.06    -0.14      65.93     0.01
    38   0.1526  -4026.06     0.25      65.93    -0.08
    39   1.0271   7011.04     0.11    3278.58    -0.19
    40   1.3579    555.46    -0.08    5728.90    -0.14
    41   1.3580    555.86     0.01    5729.60    -0.28
    42   2.4092   8458.88     0.15    9684.41    -0.31
    43   2.9698  22968.21     0.07   10182.47     0.03
    44   2.9702  22964.14    -0.05   10181.02     0.12
    45   2.9809  22837.62    -0.05   10134.72    -0.14
    46   2.9837  22801.37    -0.06   10123.76     0.08
    47   2.9837  22800.98    -0.19   10123.58    -0.03
    48   2.9837  22800.63    -0.06   10123.49     0.01
    49   2.9837  22800.48     0.03   10123.54     0.13
    50   2.9837  22800.31    -0.01   10123.50     0.12
    51   2.9865  22762.96     0.14   10112.61     0.05
    52   2.9891  22725.57     0.00   10102.49     0.04
    53   2.9891  22725.43     0.00   10102.54     0.13
    54   2.9891  22725.36     0.07   10102.35    -0.03
    55   2.9891  22725.18     0.01   10102.31    -0.05

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.

13RF98    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       398.438   399.928   396.965
ecceobj         0.909     0.910     0.909
incobj         29.517    29.516    29.517
qmin           33.158    33.083    33.075
qmax          800.879   907.915   793.119
amean         369.153   384.666   361.131
amin          334.563   346.443   333.226
amax          418.636   472.176   414.660
emean           0.901     0.905     0.900
emin            0.887     0.892     0.887
emax            0.913     0.923     0.913
imean          28.729    28.562    28.416
imin           27.547    27.542    27.479
imax           30.156    29.893    29.567
excite_mean     1.021     1.024     1.018
fracstop        1.000     1.000     1.000
cjmean          2.742     2.742     2.742

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       320.4     318.4     316.0
kozaiamp          9.4       7.6       6.4