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: 13JF64
# Created Sat Apr 27 01:14:39 2024
# Orbit generated from Bernstein formalism
# Fitting 29 observations of 30
# Arc: 3.07y
# First observation: 2013/04/10
# Last observation: 2016/05/06
Preliminary a, adot, b, bdot, g, gdot:
0.000041 0.045937 -0.000005 -0.004779 0.033849 0.000000
# Chi-squared of fit: 12.44 DOF: 52 RMS: 0.12
# Min/Max residuals: -0.25 0.40
# Exact a, adot, b, bdot, g, gdot:
2.128469E-05 4.583711E-02 -2.546593E-06 -4.794026E-03 3.365306E-02 1.642634E-03
# Covariance matrix:
1.6978E-13 -7.1755E-14 -2.5008E-15 3.0840E-15 1.0986E-13 -1.7762E-13
-7.1755E-14 3.9913E-13 8.7278E-15 -3.7705E-14 2.1774E-13 3.1218E-12
-2.5008E-15 8.7278E-15 1.0639E-13 -6.1052E-14 1.6078E-15 8.3827E-14
3.0840E-15 -3.7705E-14 -6.1052E-14 6.8998E-14 -2.1281E-14 -3.5385E-13
1.0986E-13 2.1774E-13 1.6078E-15 -2.1281E-14 3.5996E-13 1.9063E-12
-1.7762E-13 3.1218E-12 8.3827E-14 -3.5385E-13 1.9063E-12 2.9214E-11
# lat0 lon0 xBary yBary zBary JD0
6.761564 -121.880952 0.609627 0.093877 -0.791613 2456392.996578
# Heliocentric elements and errors
Epoch: 2456390.5000 = 2013/04/08
Mean Anomaly: 1.06575 +/- 0.007
Argument of Peri: 128.26325 +/- 0.022
Long of Asc Node: 105.22853 +/- 0.002
Inclination: 8.79331 +/- 0.000
Eccentricity: 0.44743313 +/- 0.0001
Semi-Major Axis: 55.19006271 +/- 0.0070
Time of Perihelion: 2455947.1557 +/- 3.1
Perihelion: 30.49620044 +/- 0.0052
Aphelion: 79.88392498 +/- 0.0107
Period (y) 410.0148 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -16.52247805 +/- 0.0003
Ecliptic Y -25.40962508 +/- 0.0004
Ecliptic Z 3.49853597 +/- 0.0001
Ecliptic XDOT 0.00306590 +/- 0.0000
Ecliptic YDOT -0.00212088 +/- 0.0000
Ecliptic ZDOT -0.00037143 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.51034384 +/- 0.0004
Geocenter to KBO 29.71497710 +/- 0.0005
# Hcoef: 9.29
The following table shows the complete astrometric record for 13JF64. 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 (13JF64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 10.49580 15 49 38.903 -13 08 38.52 24.1r 13JF64 568 C~1XRc 2013 04 10.53608 15 49 38.740 -13 08 37.98 24.1r 13JF64 568 C~1XRc 2013 04 19.54976 15 48 55.432 -13 05 30.53 24.1r 13JF64 568 C~1XRc 2013 05 04.42521 15 47 32.333 -13 00 20.84 24.1r 13JF64 568 C~1XRc 2013 05 07.42802 15 47 14.290 -12 59 20.13 24.2r 13JF64 568 C~1XRc 2013 05 07.47225 15 47 14.004 -12 59 19.25 23.3r 13JF64 568 C~1XRc 2013 05 07.51247 15 47 13.761 -12 59 18.42 24.0r 13JF64 568 C~1XRc 2013 05 09.47229 15 47 01.850 -12 58 39.45 24.3r 13JF64 568 C~1XRc 2013 05 10.47981 15 46 55.680 -12 58 19.68 24.0r 13JF64 568 C~1XRc 2013 06 01.38796 15 44 40.340 -12 52 04.27 13JF64 568 C~1XRc 2013 06 06.36358 15 44 10.727 -12 50 58.15 24.2r 13JF64 568 C~1XRc 2013 07 03.35437 15 41 54.982 -12 47 51.01 24.2r 13JF64 568 C~1XRc 2014 04 30.43644 15 58 18.022 -13 51 32.36 13JF64 568 C~1XRc 2014 04 30.48774 15 58 17.691 -13 51 30.98 24.0r 13JF64 568 C~1XRc 2014 04 30.53949 15 58 17.414 -13 51 29.79 13JF64 568 C~1XRc 2014 05 05.50559 15 57 48.561 -13 49 55.29 24.0r 13JF64 568 C~1XRc 2014 05 06.44715 15 57 42.980 -13 49 37.25 24.0r 13JF64 568 C~1XRc 2014 05 06.49809 15 57 42.674 -13 49 36.43 24.1r 13JF64 568 C~1XRc 2014 05 06.57421 15 57 42.217 -13 49 34.96 13JF64 568 C~1XRc 2014 05 22.54166 15 56 03.838 -13 44 53.48 24.1r 13JF64 568 C~1XRc 2014 05 25.50065 15 55 45.321 -13 44 06.47 24.0r 13JF64 568 C~1XRc 2014 06 02.47694 15 54 55.872 -13 42 11.31 23.9r 13JF64 568 C~1XRc 2014 07 01.38325 15 52 19.418 -13 38 13.61 23.7r 13JF64 568 C~2LSW 2014 07 18.35698 15 51 18.201 -13 38 35.96 24.4r 13JF64 568 C~1XRc 2014 07 26.28482 15 51 00.182 -13 39 31.37 24.1r 13JF64 568 C~1XRc 2015 03 22.57427 16 11 13.821 -14 50 09.66 24.3r 13JF64 568 C~1XRc 2015 04 18.56543 16 09 43.880 -14 43 02.09 24.0r 13JF64 568 C~2LSW 2015 08 11.31763 16 00 54.215 -14 30 47.90 24.3r 13JF64 568 C~2LSW 2016 05 06.53851 16 18 29.725 -15 23 41.23 24.2r 13JF64 568 C~2LSW 2016 05 06.60444 16 18 29.328 -15 23 40.25 24.0r 13JF64 568 C~2LSW
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 0.05 0.00 0.06
2 0.0001 -2.44 0.40 0.01 -0.15
3 0.0248 -660.67 -0.13 46.32 -0.06
4 0.0655 -1913.29 0.13 84.99 -0.13
5 0.0737 -2183.92 -0.07 86.78 -0.06
6 0.0739 -2188.20 -0.25 86.72 -0.10
7 0.0740 -2191.84 -0.18 86.76 -0.06
8 0.0793 -2370.27 -0.09 86.81 0.05
9 0.0821 -2462.61 -0.10 86.41 0.05
10 0.1421 -4476.05 0.18 18.47 0.18
11 0.1557 -4913.25 0.09 -12.64 0.16
12 0.2296 -6892.26 -0.04 -271.17 0.08
13 1.0539 7948.55 ( 0.48) -914.90 ( -0.44)
14 1.0541 7943.54 -0.08 -914.55 -0.15
15 1.0542 7939.34 0.21 -914.22 0.11
16 1.0678 7508.05 -0.02 -908.88 -0.20
17 1.0704 7424.68 -0.07 -908.11 0.10
18 1.0705 7420.14 0.01 -908.23 -0.02
19 1.0707 7413.32 0.07 -908.17 0.02
20 1.1144 5951.41 0.02 -931.69 -0.14
21 1.1225 5677.52 0.08 -942.24 0.03
22 1.1444 4948.35 -0.10 -981.01 0.01
23 1.2235 2668.59 0.06 -1231.64 0.09
24 1.2700 1801.49 -0.08 -1444.07 0.02
25 1.2917 1556.79 -0.01 -1554.47 0.16
26 1.9468 19755.24 -0.14 -2107.89 0.05
27 2.0207 18380.75 -0.02 -1940.54 0.09
28 2.3349 10661.99 0.04 -2755.42 -0.13
29 3.0720 26418.26 0.07 -2897.03 0.03
30 3.0722 26412.34 -0.02 -2897.13 -0.06
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.
13JF64 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 54.889 54.910 54.867 ecceobj 0.445 0.445 0.444 incobj 8.788 8.788 8.788 qmin 29.881 29.875 29.875 qmax 82.407 82.521 82.531 amean 55.461 55.462 55.461 amin 54.752 54.763 54.778 amax 56.414 56.459 56.437 emean 0.450 0.451 0.451 emin 0.441 0.441 0.442 emax 0.461 0.462 0.462 imean 7.250 7.230 7.255 imin 7.149 7.099 7.146 imax 7.362 7.364 7.373 excite_mean 0.468 0.468 0.468 fracstop 1.000 1.000 1.000 cjmean 2.947 2.947 2.947 libcent 0 180.5 180.1 178.6 libamp 0 67.1 75.4 70.6 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 205.4 205.4 208.2 kozaiamp 180.0 180.0 180.0