Orbit Fit and Astrometric record for 13RN30

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: 13RN30    
# Created Wed Dec  8 02:11:48 2021
# Orbit generated from Bernstein formalism
# Fitting     40 observations of     42
# Arc:   1.14y
# First observation: 2013/08/28
#  Last observation: 2014/10/18
Preliminary a, adot, b, bdot, g, gdot:
   0.000481   0.358569   0.000141  -0.104841   0.142394   0.000000
# WARNING -- MRQMIN stopped after  23 iterations
# Chi-squared of fit:    29.68 DOF:     74 RMS:  0.15
# Min/Max residuals:    -0.40    0.40
# Exact a, adot, b, bdot, g, gdot:
  3.984911E-05  3.411281E-01 -1.175847E-05 -9.988386E-02  1.370116E-01 -2.364425E-02
# Covariance matrix:
  6.5302E-14  8.1379E-13  7.5571E-15 -2.7849E-13  2.6346E-13  2.3763E-12
  8.1379E-13  1.0647E-10  9.6632E-13 -3.5416E-11  2.4161E-11  3.0244E-10
  7.5571E-15  9.6632E-13  5.5744E-14 -3.7027E-13  2.1804E-13  2.7520E-12
 -2.7849E-13 -3.5416E-11 -3.7027E-13  1.2016E-11 -8.0005E-12 -1.0085E-10
  2.6346E-13  2.4161E-11  2.1804E-13 -8.0005E-12  5.8946E-12  6.8309E-11
  2.3763E-12  3.0244E-10  2.7520E-12 -1.0085E-10  6.8309E-11  8.6124E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.824726   -7.155731    0.308773    0.064289   -0.960870  2456533.033918
# Heliocentric elements and errors
Epoch:              2456530.5000  =  2013/08/26
Mean Anomaly:          352.76082 +/-     0.006
Argument of Peri:      187.55762 +/-     0.016
Long of Asc Node:      182.12589 +/-     0.000
Inclination:            16.61034 +/-     0.000
Eccentricity:         0.42469048 +/-    0.0000
Semi-Major Axis:     14.12171739 +/-    0.0006
Time of Perihelion: 2456920.2773 +/-       0.3
Perihelion:           8.12435847 +/-    0.0005
Aphelion:            20.11907631 +/-    0.0009
Period (y)               53.0688 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            8.14256061 +/-    0.0001
Ecliptic Y           -1.33069949 +/-    0.0000
Ecliptic Z            0.48679123 +/-    0.0000
Ecliptic XDOT         0.00050728 +/-    0.0000
Ecliptic YDOT         0.00680463 +/-    0.0000
Ecliptic ZDOT        -0.00202287 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    8.26492711 +/-    0.0001
Geocenter to KBO      7.29865452 +/-    0.0001
# Hcoef: 12.84

The following table shows the complete astrometric record for 13RN30. 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 (13RN30) followed by the observatory code and reference code for the source of the astrometry.

2013 08  28.53314  23 27 40.512  +00 40 25.89  21.6i 13RN30    F51  C~0uL2      
2013 08  28.53905  23 27 40.426  +00 40 25.06  21.8i 13RN30    F51  C~0uL2      
2013 08  28.54201  23 27 40.389  +00 40 24.66  21.6i 13RN30    F51  C~0uL2      
2013 08  28.54792  23 27 40.298  +00 40 23.63  21.8i 13RN30    F51  C~0uL2      
2013 08  29.57117  23 27 24.663  +00 37 50.27  21.4z 13RN30    F51  C~0uL2      
2013 08  29.58007  23 27 24.528  +00 37 49.06  21.7z 13RN30    F51  C~0uL2      
2013 08  29.58304  23 27 24.470  +00 37 48.60  21.6z 13RN30    F51  C~0uL2      
2013 08  29.58600  23 27 24.408  +00 37 48.34  21.7z 13RN30    F51  C~0uL2      
2013 08  31.55411  23 26 53.974  +00 32 48.19  21.5i 13RN30    F51  C~0uL2      
2013 08  31.55706  23 26 53.934  +00 32 47.88  21.6i 13RN30    F51  C~0uL2      
2013 08  31.56002  23 26 53.881  +00 32 47.47  21.7i 13RN30    F51  C~0uL2      
2013 08  31.56298  23 26 53.821  +00 32 47.03  21.6i 13RN30    F51  C~0uL2      
2013 08  31.56594  23 26 53.787  +00 32 46.50  21.5i 13RN30    F51  C~0uL2      
2013 09  03.42880  23 26 08.616  +00 25 20.32  21.6w 13RN30    F51  C~0uL2      
2013 09  03.44369  23 26 08.361  +00 25 18.19  21.7w 13RN30    F51  C~0uL2      
2013 09  03.45861  23 26 08.114  +00 25 15.70  22.0w 13RN30    F51  C~0uL2      
2013 09  03.52550  23 26 07.027  +00 25 04.69  22.3i 13RN30    F51  C~0uL2      
2013 09  03.52847  23 26 06.975  +00 25 04.68  22.3i 13RN30    F51  C~0uL2      
2013 09  03.53142  23 26 06.925  +00 25 03.94  22.1i 13RN30    F51  C~0uL2      
2013 09  03.53734  23 26 06.837  +00 25 03.24  22.2i 13RN30    F51  C~0uL2      
2013 09  03.54329  23 26 06.744  +00 25 02.16  22.2i 13RN30    F51  C~0uL2      
2013 09  04.292222 23 25 54.79   +00 23 03.5   22.3V 13RN30    H21  C~0uL2      
2013 09  04.304745 23 25 54.60   +00 23 01.4   22.0V 13RN30    H21  C~0uL2      
2013 09  04.315975 23 25 54.43   +00 22 59.3   21.9V 13RN30    H21  C~0uL2      
2013 09  06.29109  23 25 22.54   +00 17 43.8   21.4R 13RN30    291  C~0uL2      
2013 09  06.33082  23 25 21.87   +00 17 37.1   21.3R 13RN30    291  C~0uL2      
2013 09  07.274020 23 25 06.52   +00 15 04.1   21.6V 13RN30    H21  C~0uL2      
2013 09  07.286487 23 25 06.32   +00 15 02.5   21.7V 13RN30    H21  C~0uL2      
2013 09  07.299179 23 25 06.14   +00 15 00.3   21.4V 13RN30    H21  C~0uL2      
2013 09  30.120532 23 18 59.33   -00 48 38.9         13RN30    W84  C~3xqm      
2013 09  30.123553 23 18 59.28   -00 48 39.4         13RN30    W84  C~3xqm      
2013 10  12.084931 23 16 15.56   -01 20 32.7         13RN30    W84  C~3xqm      
2013 10  12.087801 23 16 15.52   -01 20 32.9         13RN30    W84  C~3xqm      
2013 10  13.048206 23 16 03.98   -01 22 58.7         13RN30    W84  C~3xqm      
2013 10  13.075729 23 16 03.64   -01 23 02.8         13RN30    W84  C~3xqm      
2014 08  27.53110  00 49 52.143  +03 09 12.01  22.1w 13RN30    F51  C~3xqm      
2014 08  27.54473  00 49 51.991  +03 09 10.36  22.1w 13RN30    F51  C~3xqm      
2014 08  27.57196  00 49 51.730  +03 09 06.81  21.8w 13RN30    F51  C~3xqm      
2014 10  18.19356  00 37 05.96   +00 50 07.8   22.3g 13RN30    W84  C~3xqm      
2014 10  18.20580  00 37 05.76   +00 50 05.9         13RN30    W84  C~3xqm      
2014 10  18.21802  00 37 05.56   +00 50 04.0         13RN30    W84  C~3xqm      
2014 10  18.23026  00 37 05.37   +00 50 02.1         13RN30    W84  C~3xqm      

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    -0.10       0.00     0.05
     2   0.0000     -1.51     0.01      -0.25     0.06
     3   0.0000     -2.18     0.15      -0.40     0.04
     4   0.0000     -3.84     0.11      -0.81    -0.10
     5   0.0028   -279.84    -0.11     -49.15    -0.05
     6   0.0029   -282.18     0.01     -49.47     0.05
     7   0.0029   -283.16    -0.15     -49.55     0.10
     8   0.0029   -284.12    -0.29     -49.42     0.37
     9   0.0083   -822.02    -0.11    -145.01    -0.21
    10   0.0083   -822.69     0.04    -145.05    -0.12
    11   0.0083   -823.59    -0.02    -145.12    -0.04
    12   0.0083   -824.59    -0.18    -145.17     0.05
    13   0.0083   -825.26    -0.03    -145.45    -0.10
    14   0.0161  -1623.94     0.03    -287.94    -0.07
    15   0.0162  -1628.30    -0.03    -288.39     0.19
    16   0.0162  -1632.68    -0.10    -289.21     0.08
    17   0.0164  -1652.01    -0.11    -292.89    -0.40
    18   0.0164  -1652.73     0.02    -292.59     0.04
    19   0.0164  -1653.71    -0.11    -292.98    -0.21
    20   0.0164  -1655.20     0.11    -293.10    -0.04
    21   0.0165  -1656.91     0.12    -293.54    -0.20
    22   0.0185  -1868.51     0.40    -331.78     0.07
    23   0.0185  -1871.96 (   0.57)   -332.59 (  -0.13)
    24   0.0186  -1875.13 (   0.65)   -333.51 (  -0.50)
    25   0.0240  -2439.24     0.23    -434.56     0.39
    26   0.0241  -2451.12     0.00    -436.75     0.17
    27   0.0267  -2723.11    -0.30    -486.43     0.03
    28   0.0267  -2726.50    -0.03    -486.71     0.37
    29   0.0267  -2729.85     0.35    -487.67     0.06
    30   0.0892  -9299.05    -0.04   -1825.95    -0.13
    31   0.0892  -9299.93    -0.09   -1826.11    -0.11
    32   0.1220 -12319.73     0.06   -2617.44    -0.12
    33   0.1220 -12320.36     0.10   -2617.39     0.12
    34   0.1246 -12537.72     0.02   -2683.32    -0.23
    35   0.1247 -12544.04     0.03   -2685.09    -0.18
    36   0.9966  74826.08     0.07  -21583.88    -0.13
    37   0.9966  74822.98    -0.09  -21584.53     0.14
    38   0.9967  74817.36     0.16  -21586.34     0.15
    39   1.1380  59511.31    -0.01  -24775.72    -0.06
    40   1.1380  59507.50    -0.05  -24776.27    -0.03
    41   1.1381  59503.69    -0.09  -24776.81     0.01
    42   1.1381  59500.03     0.02  -24777.42    -0.01

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.

13RN30    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        14.059    14.076    14.042
ecceobj         0.425     0.425     0.425
incobj         16.636    16.636    16.636
qmin            8.077     8.083     8.068
qmax           20.705    20.065    21.290
amean          14.180    13.801    14.221
amin           13.783    12.602    13.728
amax           14.441    14.298    14.880
emean           0.421     0.400     0.417
emin            0.397     0.348     0.393
emax            0.434     0.425     0.431
imean          16.388    16.755    17.094
imin           15.810    16.102    16.195
imax           17.266    18.000    17.794
excite_mean     0.507     0.493     0.510
fracstop        0.001     0.001     0.002
cjmean          3.321     3.375     3.315

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       198.6     209.5     210.8
kozaiamp         12.5      24.0      21.5