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: 13RP98 # Created Sun Apr 21 01:14:45 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 60 observations of 60 # Arc: 10.01y # First observation: 2013/09/03 # Last observation: 2023/09/06 # Chi-squared of fit: 15.90 DOF: 114 RMS: 0.09 # Min/Max residuals: -0.31 0.23 # Exact a, adot, b, bdot, g, gdot: 1.746833E-05 2.592970E-02 -1.876840E-06 -2.178467E-03 2.555937E-02 -3.144839E-03 # Covariance matrix: 6.0270E-14 -1.2735E-14 1.5865E-15 5.8797E-16 7.7981E-14 -2.8051E-14 -1.2735E-14 1.9066E-14 1.2706E-15 -1.4276E-15 1.9524E-14 7.6428E-14 1.5865E-15 1.2706E-15 4.0413E-14 -6.5928E-15 1.1424E-14 6.0205E-15 5.8797E-16 -1.4276E-15 -6.5928E-15 2.7468E-15 -1.4769E-15 -6.6331E-15 7.7981E-14 1.9524E-14 1.1424E-14 -1.4769E-15 4.3240E-13 9.5479E-14 -2.8051E-14 7.6428E-14 6.0205E-15 -6.6331E-15 9.5479E-14 3.5529E-13 # lat0 lon0 xBary yBary zBary JD0 12.673789 -32.157553 -0.222050 0.216212 -0.961098 2456538.703926 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 305.97123 +/- 0.023 Argument of Peri: 178.76133 +/- 0.030 Long of Asc Node: 216.38995 +/- 0.000 Inclination: 13.28311 +/- 0.000 Eccentricity: 0.13252786 +/- 0.0000 Semi-Major Axis: 42.87049390 +/- 0.0048 Time of Perihelion: 2471925.6685 +/- 16.0 Perihelion: 37.18895905 +/- 0.0046 Aphelion: 48.55202874 +/- 0.0058 Period (y) 280.7023 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.26767141 +/- 0.0008 Ecliptic Y -20.64994917 +/- 0.0005 Ecliptic Z 8.58385595 +/- 0.0002 Ecliptic XDOT 0.00123725 +/- 0.0000 Ecliptic YDOT 0.00249799 +/- 0.0000 Ecliptic ZDOT -0.00030144 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.08549369 +/- 0.0007 Geocenter to KBO 39.12470254 +/- 0.0010 # Hcoef: 7.09
The following table shows the complete astrometric record for 13RP98. 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 (13RP98) followed by the observatory code and reference code for the source of the astrometry.
2013 09 03.203148 21 42 44.92 -00 18 05.5 23.5g 13RP98 W84 C~2BnN 2013 09 03.20315 21 42 44.937 -00 18 05.65 23.7g 13RP98 W84 C~4yQm 2013 09 03.20315 21 42 44.94 -00 18 05.6 23.9g 13RP98 W84 C~3cl6 2013 09 05.051574 21 42 36.81 -00 19 01.2 23.4g 13RP98 W84 C~352B 2013 09 05.05210 21 42 36.811 -00 19 01.24 23.5g 13RP98 W84 C~4yQm 2013 09 10.19465 21 42 14.735 -00 21 39.61 23.3r 13RP98 W84 C~4yQm 2013 09 10.19465 21 42 14.74 -00 21 39.6 23.4r 13RP98 W84 C~3cl6 2013 09 10.194653 21 42 14.74 -00 21 39.5 23.2r 13RP98 W84 C~2BnN 2013 09 10.196030 21 42 14.73 -00 21 39.5 22.8i 13RP98 W84 C~2BnN 2013 09 10.19603 21 42 14.73 -00 21 39.7 23.2i 13RP98 W84 C~3cl6 2013 09 10.19603 21 42 14.733 -00 21 39.68 23.0i 13RP98 W84 C~4yQm 2013 09 11.20192 21 42 10.541 -00 22 10.90 23.0r 13RP98 W84 C~4yQm 2013 09 11.20192 21 42 10.54 -00 22 10.9 23.1r 13RP98 W84 C~3cl6 2013 09 11.201921 21 42 10.54 -00 22 10.7 22.8r 13RP98 W84 C~2BnN 2013 09 11.203299 21 42 10.54 -00 22 10.9 22.6i 13RP98 W84 C~2BnN 2013 09 11.20331 21 42 10.538 -00 22 11.06 22.7i 13RP98 W84 C~4yQm 2013 09 11.20331 21 42 10.54 -00 22 11.1 22.9i 13RP98 W84 C~3cl6 2013 09 12.17802 21 42 06.531 -00 22 41.41 23.1g 13RP98 W84 C~4yQm 2013 09 13.137616 21 42 02.60 -00 23 11.4 22.8i 13RP98 W84 C~2BnN 2013 09 13.13762 21 42 02.601 -00 23 11.56 23.3i 13RP98 W84 C~4yQm 2013 09 13.13762 21 42 02.60 -00 23 11.6 23.3i 13RP98 W84 C~3cl6 2013 09 13.13902 21 42 02.601 -00 23 11.56 22.9z 13RP98 W84 C~4yQm 2013 09 13.13902 21 42 02.60 -00 23 11.6 22.9z 13RP98 W84 C~3cl6 2013 09 24.042488 21 41 21.37 -00 28 56.2 23.4g 13RP98 W84 C~2BnN 2013 09 24.04249 21 41 21.381 -00 28 56.32 23.5g 13RP98 W84 C~4yQm 2013 09 24.04249 21 41 21.38 -00 28 56.3 23.5g 13RP98 W84 C~3cl6 2013 10 10.080683 21 40 34.40 -00 37 11.8 23.1r 13RP98 W84 C~2BnN 2013 10 10.08069 21 40 34.401 -00 37 11.91 23.2r 13RP98 W84 C~4yQm 2013 10 10.08069 21 40 34.40 -00 37 11.9 23.3r 13RP98 W84 C~3cl6 2013 10 11.070324 21 40 32.14 -00 37 41.1 22.4z 13RP98 W84 C~2BnN 2013 10 11.07033 21 40 32.137 -00 37 41.21 22.8z 13RP98 W84 C~4yQm 2013 10 11.07033 21 40 32.14 -00 37 41.2 23.0z 13RP98 W84 C~3cl6 2016 08 23.251331 22 00 59.53 +00 56 30.4 22.4z 13RP98 W84 C~352B 2016 08 31.250324 22 00 22.24 +00 52 39.7 23.1i 13RP98 W84 C~2BnN 2016 08 31.25033 22 00 22.249 +00 52 39.58 22.9i 13RP98 W84 C~4yQm 2016 08 31.25033 22 00 22.25 +00 52 39.6 23.1i 13RP98 W84 C~3cl6 2016 09 03.220475 22 00 08.63 +00 51 09.6 23.2r 13RP98 W84 C~2BnN 2016 09 03.22048 22 00 08.627 +00 51 09.49 23.0r 13RP98 W84 C~4yQm 2016 09 03.22048 22 00 08.63 +00 51 09.5 23.1r 13RP98 W84 C~3cl6 2016 09 03.22185 22 00 08.618 +00 51 09.54 23.5g 13RP98 W84 C~4yQm 2016 09 26.08124 21 58 33.76 +00 38 52.6 22.5r 13RP98 W84 C~3cl6 2016 09 26.082616 21 58 33.74 +00 38 52.7 22.8g 13RP98 W84 C~2BnN 2016 09 26.08262 21 58 33.75 +00 38 52.7 22.8g 13RP98 W84 C~3cl6 2017 08 19.21370 22 07 12.692 +01 21 47.24 22.9r 13RP98 W84 C~4yQm 2017 10 21.04892 22 03 14.321 +00 49 02.54 23.0i 13RP98 W84 C~4yQm 2017 10 22.04499 22 03 12.446 +00 48 33.71 24.0g 13RP98 W84 C~4yQm 2017 10 22.04636 22 03 12.451 +00 48 33.77 23.3r 13RP98 W84 C~4yQm 2018 09 17.20809 22 10 56.773 +01 30 44.06 22.3z 13RP98 W84 C~4yQm 2018 09 17.20946 22 10 56.768 +01 30 43.99 22.9i 13RP98 W84 C~4yQm 2018 09 17.21084 22 10 56.768 +01 30 43.93 22.6r 13RP98 W84 C~4yQm 2018 11 08.04273 22 08 43.509 +01 04 21.89 23.7g 13RP98 W84 C~4yQm 2018 11 26.03137 22 08 51.740 +00 58 49.33 23.2z 13RP98 W84 C~4yQm 2019 09 04.213540 22 17 53.584 +02 01 26.03 23.0G 13RP98 G37 C~3cl6 2019 09 04.285560 22 17 53.245 +02 01 23.82 13RP98 G37 C~3cl6 2021 09 12.172950 22 29 18.002 +02 44 23.69 23.0G 13RP98 G37 C~55NY 2021 09 12.228730 22 29 17.742 +02 44 21.62 13RP98 G37 C~55NY 2021 09 12.287600 22 29 17.472 +02 44 19.81 13RP98 G37 C~55NY 2023 09 06.262180 22 42 00.112 +03 35 34.39 22.8G 13RP98 G37 C~7Ax1 2023 09 06.298760 22 41 59.930 +03 35 33.05 13RP98 G37 C~7Ax1 2023 09 06.335120 22 41 59.769 +03 35 32.10 13RP98 G37 C~7Ax1
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 -0.31 0.00 0.00
2 0.0000 0.00 -0.01 0.00 -0.10
3 0.0000 0.00 -0.06 0.00 -0.15
4 0.0051 0.00 0.10 0.00 0.14
5 0.0051 0.00 0.15 0.00 0.12
6 0.0191 0.00 0.01 0.00 -0.05
7 0.0191 0.00 -0.07 0.00 -0.06
8 0.0191 0.00 0.01 0.00 0.05
9 0.0191 0.00 -0.05 0.00 -0.11
10 0.0191 0.00 -0.01 0.00 -0.09
11 0.0191 0.00 -0.05 0.00 0.09
12 0.0219 0.00 -0.02 0.00 0.03
13 0.0219 0.00 -0.00 0.00 0.03
14 0.0219 0.00 -0.02 0.00 0.23
15 0.0219 0.00 0.07 0.00 0.07
16 0.0219 0.00 0.07 0.00 -0.13
17 0.0219 0.00 0.04 0.00 -0.09
18 0.0246 0.00 0.21 0.00 0.03
19 0.0272 0.00 -0.05 0.00 0.11
20 0.0272 0.00 -0.05 0.00 -0.09
21 0.0272 0.00 -0.04 0.00 -0.05
22 0.0272 0.00 0.03 0.00 -0.04
23 0.0272 0.00 0.05 0.00 -0.00
24 0.0571 0.00 -0.13 0.00 0.05
25 0.0571 0.00 0.02 0.00 -0.05
26 0.0571 0.00 0.04 0.00 -0.07
27 0.1010 0.00 0.03 0.00 0.04
28 0.1010 0.00 0.03 0.00 -0.06
29 0.1010 0.00 0.05 0.00 -0.07
30 0.1037 0.00 0.08 0.00 0.00
31 0.1037 0.00 0.03 0.00 -0.11
32 0.1037 0.00 0.08 0.00 -0.10
33 2.9707 0.00 -0.17 0.00 0.10
34 2.9926 0.00 -0.02 0.00 0.18
35 2.9926 0.00 0.13 0.00 0.09
36 2.9926 0.00 0.11 0.00 0.07
37 3.0007 0.00 0.06 0.00 0.18
38 3.0007 0.00 0.06 0.00 0.08
39 3.0007 0.00 0.01 0.00 0.07
40 3.0007 0.00 -0.03 0.00 0.16
41 3.0633 0.00 0.06 0.00 0.01
42 3.0633 0.00 -0.17 0.00 0.15
43 3.0633 0.00 -0.02 0.00 0.15
44 3.9590 0.00 -0.00 0.00 -0.09
45 4.1310 0.00 0.10 0.00 -0.14
46 4.1337 0.00 -0.13 0.00 -0.07
47 4.1337 0.00 -0.02 0.00 0.03
48 5.0377 0.00 -0.03 0.00 -0.08
49 5.0377 0.00 -0.02 0.00 -0.11
50 5.0377 0.00 0.07 0.00 -0.12
51 5.1796 0.00 0.15 0.00 -0.01
52 5.2288 0.00 0.00 0.00 0.00
53 6.0014 0.00 -0.05 0.00 -0.09
54 6.0016 0.00 -0.05 0.00 -0.06
55 8.0246 0.00 -0.02 0.00 0.07
56 8.0247 0.00 -0.06 0.00 -0.15
57 8.0249 0.00 -0.03 0.00 -0.02
58 10.0070 0.00 0.02 0.00 0.08
59 10.0071 0.00 -0.08 0.00 -0.10
60 10.0072 0.00 0.11 0.00 0.09
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.
13RP98 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.053 43.053 43.053 ecceobj 0.135 0.135 0.135 incobj 13.285 13.285 13.285 qmin 36.102 36.143 36.026 qmax 50.317 50.302 50.325 amean 43.018 43.019 43.019 amin 42.660 42.674 42.654 amax 43.422 43.418 43.425 emean 0.142 0.142 0.142 emin 0.126 0.125 0.126 emax 0.160 0.160 0.159 imean 14.379 14.379 14.379 imin 13.616 13.615 13.606 imax 15.159 15.162 15.162 excite_mean 0.286 0.286 0.286 fracstop 1.000 1.000 1.000 cjmean 2.992 2.992 2.992 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 182.4 182.4 182.4 kozaiamp 180.0 180.0 180.0