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 Sat Apr 20 01:14:44 2024 # Orbit generated from Bernstein formalism # Fitting 51 observations of 51 # Arc: 2.99y # First observation: 2013/09/12 # Last observation: 2016/09/08 Preliminary a, adot, b, bdot, g, gdot: 0.000003 0.036400 0.000017 0.016240 0.028152 0.000000 # Chi-squared of fit: 22.26 DOF: 96 RMS: 0.12 # Min/Max residuals: -0.30 0.31 # Exact a, adot, b, bdot, g, gdot: 2.213666E-05 3.674534E-02 1.071348E-05 1.641686E-02 2.808664E-02 3.547090E-03 # Covariance matrix: 1.5798E-13 3.3140E-13 7.9127E-15 1.6900E-13 3.3165E-13 3.5401E-12 3.3140E-13 1.4275E-10 -3.3048E-12 6.4590E-11 2.9076E-11 1.2976E-09 7.9127E-15 -3.3048E-12 1.1918E-13 -1.5085E-12 -6.3758E-13 -2.9991E-11 1.6900E-13 6.4590E-11 -1.5085E-12 2.9249E-11 1.3186E-11 5.8726E-10 3.3165E-13 2.9076E-11 -6.3758E-13 1.3186E-11 6.5079E-12 2.6522E-10 3.5401E-12 1.2976E-09 -2.9991E-11 5.8726E-10 2.6522E-10 1.1798E-08 # 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: 0.18523 +/- 0.008 Argument of Peri: 311.91339 +/- 0.314 Long of Asc Node: 67.68345 +/- 0.002 Inclination: 29.51092 +/- 0.002 Eccentricity: 0.90423951 +/- 0.0017 Semi-Major Axis: 377.04075231 +/- 6.3498 Time of Perihelion: 2455164.5808 +/- 48.6 Perihelion: 36.10560875 +/- 0.8721 Aphelion: 717.97589587 +/- 12.1078 Period (y) 7321.3411 +/- 184.95 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.21305095 +/- 0.0026 Ecliptic Y 18.31130285 +/- 0.0017 Ecliptic Z -11.36111077 +/- 0.0010 Ecliptic XDOT -0.00126805 +/- 0.0000 Ecliptic YDOT 0.00345432 +/- 0.0000 Ecliptic ZDOT 0.00140643 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.30125336 +/- 0.0023 Geocenter to KBO 35.60411277 +/- 0.0032 # 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 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 -0.30 0.00 -0.30
2 0.0001 -0.84 -0.03 -0.13 -0.19
3 0.0001 -1.82 -0.05 -0.21 -0.05
4 0.0463 -1031.74 0.16 -146.22 -0.17
5 0.0464 -1032.05 0.16 -146.22 -0.15
6 0.0464 -1032.54 0.31 -146.26 -0.15
7 0.0465 -1035.27 -0.09 -146.35 -0.10
8 0.0571 -1307.99 -0.15 -161.03 0.09
9 0.0572 -1310.58 -0.12 -161.18 0.03
10 0.0572 -1310.72 0.07 -161.13 0.09
11 0.0572 -1311.21 -0.08 -161.17 0.07
12 0.0572 -1311.38 0.08 -161.21 0.03
13 0.0572 -1311.63 0.17 -161.02 0.24
14 0.0573 -1314.74 0.04 -161.30 0.06
15 0.0573 -1315.09 0.06 -161.39 -0.02
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 0.12
19 0.0788 -1898.93 -0.05 -167.30 0.22
20 0.0788 -1899.18 0.06 -167.54 -0.02
21 0.0788 -1899.63 -0.04 -167.48 0.03
22 0.0788 -1899.91 0.02 -167.38 0.12
23 0.0789 -1900.40 -0.12 -167.42 0.08
24 0.0790 -1904.04 -0.10 -167.41 0.01
25 0.0790 -1904.32 0.01 -167.31 0.10
26 0.0790 -1904.81 -0.09 -167.35 0.06
27 0.0898 -2209.37 -0.11 -157.94 0.09
28 0.0898 -2209.72 -0.11 -158.03 -0.02
29 0.0898 -2210.28 0.04 -157.83 0.15
30 0.0898 -2210.70 0.10 -158.11 -0.15
31 0.1500 -3955.20 -0.16 51.67 0.15
32 0.1500 -3955.27 -0.01 51.48 -0.08
33 0.1501 -3955.41 0.06 51.53 -0.07
34 0.1503 -3963.70 -0.09 53.18 -0.08
35 0.1503 -3964.12 -0.15 53.33 -0.00
36 0.1525 -4025.64 -0.05 65.78 -0.13
37 0.1525 -4026.06 -0.08 65.93 -0.07
38 0.1526 -4026.06 0.31 65.93 -0.15
39 2.9698 22968.21 0.10 10182.47 -0.00
40 2.9702 22964.14 -0.02 10181.02 0.09
41 2.9809 22837.62 -0.04 10134.72 -0.17
42 2.9837 22801.37 -0.05 10123.76 0.04
43 2.9837 22800.98 -0.18 10123.58 -0.07
44 2.9837 22800.63 -0.05 10123.49 -0.02
45 2.9837 22800.48 0.03 10123.54 0.09
46 2.9837 22800.31 -0.01 10123.50 0.09
47 2.9865 22762.96 0.14 10112.61 0.01
48 2.9891 22725.57 -0.00 10102.49 0.00
49 2.9891 22725.43 0.00 10102.54 0.09
50 2.9891 22725.36 0.07 10102.35 -0.07
51 2.9891 22725.18 0.01 10102.31 -0.08
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:1 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 404.049 435.553 377.588 ecceobj 0.911 0.917 0.904 incobj 29.515 29.511 29.520 qmin 32.859 32.771 33.304 qmax 917.132 850.957 837.848 amean 393.050 391.796 370.486 amin 346.757 362.271 330.448 amax 476.747 443.560 437.226 emean 0.907 0.907 0.901 emin 0.890 0.896 0.886 emax 0.924 0.920 0.916 imean 28.473 28.583 28.654 imin 27.472 27.478 27.566 imax 29.807 29.982 30.064 excite_mean 1.025 1.026 1.021 fracstop 1.000 1.000 1.000 cjmean 2.742 2.739 2.744 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 316.7 317.0 320.8 kozaiamp 7.1 8.0 9.1