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: 13RG98 # Created Sat Apr 20 01:14:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 109 observations of 109 # Arc: 8.19y # First observation: 2013/09/03 # Last observation: 2021/11/12 # Chi-squared of fit: 67.33 DOF: 212 RMS: 0.14 # Min/Max residuals: -0.42 0.46 # Exact a, adot, b, bdot, g, gdot: 2.228346E-05 5.753811E-02 -4.190519E-06 -1.178364E-02 4.460405E-02 -7.573920E-03 # Covariance matrix: 4.3253E-14 -1.9382E-14 -2.7559E-15 4.1369E-15 9.8459E-15 -3.0261E-14 -1.9382E-14 1.1582E-13 2.4950E-14 -2.5499E-14 8.8035E-14 2.0855E-13 -2.7559E-15 2.4950E-14 2.5926E-14 -1.0143E-14 1.9955E-14 4.5940E-14 4.1369E-15 -2.5499E-14 -1.0143E-14 8.5103E-15 -1.9042E-14 -4.7133E-14 9.8459E-15 8.8035E-14 1.9955E-14 -1.9042E-14 9.0454E-14 1.5939E-13 -3.0261E-14 2.0855E-13 4.5940E-14 -4.7133E-14 1.5939E-13 3.8499E-13 # lat0 lon0 xBary yBary zBary JD0 -45.361353 39.757910 0.866824 -0.368526 -0.364028 2456538.780558 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 286.62584 +/- 0.003 Argument of Peri: 349.25893 +/- 0.004 Long of Asc Node: 145.92558 +/- 0.000 Inclination: 46.03263 +/- 0.000 Eccentricity: 0.16998624 +/- 0.0000 Semi-Major Axis: 23.28346345 +/- 0.0005 Time of Perihelion: 2464902.4306 +/- 1.1 Perihelion: 19.32559494 +/- 0.0005 Aphelion: 27.24133196 +/- 0.0006 Period (y) 112.3517 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 13.06189646 +/- 0.0001 Ecliptic Y 9.74228090 +/- 0.0001 Ecliptic Z -15.95271599 +/- 0.0001 Ecliptic XDOT -0.00291167 +/- 0.0000 Ecliptic YDOT 0.00217589 +/- 0.0000 Ecliptic ZDOT -0.00017727 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 22.80390161 +/- 0.0001 Geocenter to KBO 22.41957804 +/- 0.0002 # Hcoef: 9.02
The following table shows the complete astrometric record for 13RG98. 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 (13RG98) followed by the observatory code and reference code for the source of the astrometry.
2013 09 03.279780 03 28 38.09 -28 18 00.2 22.9z 13RG98 W84 C~1Iuu 2013 09 03.288090 03 28 38.14 -28 18 00.9 22.3z 13RG98 W84 C~1Iuu 2013 09 03.292234 03 28 38.11 -28 18 01.5 22.5z 13RG98 W84 C~1Iuu 2013 09 03.296400 03 28 38.10 -28 18 02.2 22.5z 13RG98 W84 C~1Iuu 2013 09 03.300567 03 28 38.10 -28 18 02.5 22.4z 13RG98 W84 C~1Iuu 2013 09 03.304711 03 28 38.09 -28 18 03.1 22.6z 13RG98 W84 C~1Iuu 2013 09 03.308854 03 28 38.09 -28 18 03.3 21.9z 13RG98 W84 C~1Iuu 2013 09 03.313021 03 28 38.09 -28 18 03.9 22.4z 13RG98 W84 C~1Iuu 2013 09 03.317188 03 28 38.08 -28 18 04.3 22.1z 13RG98 W84 C~1Iuu 2013 09 03.321354 03 28 38.08 -28 18 04.8 22.4z 13RG98 W84 C~1Iuu 2013 09 03.341863 03 28 38.08 -28 18 07.1 22.6i 13RG98 W84 C~1Iuu 2013 09 03.346377 03 28 38.05 -28 18 07.7 22.5i 13RG98 W84 C~1Iuu 2013 09 03.350880 03 28 38.05 -28 18 08.1 22.6i 13RG98 W84 C~1Iuu 2013 09 03.355394 03 28 38.04 -28 18 08.6 22.7i 13RG98 W84 C~1Iuu 2013 09 03.359907 03 28 38.04 -28 18 09.2 22.5i 13RG98 W84 C~1Iuu 2013 09 03.400394 03 28 37.99 -28 18 13.8 22.8r 13RG98 W84 C~1Iuu 2013 09 03.405486 03 28 37.99 -28 18 14.3 22.6r 13RG98 W84 C~1Iuu 2013 09 03.410567 03 28 37.99 -28 18 14.9 22.6r 13RG98 W84 C~1Iuu 2013 09 10.228530 03 28 27.35 -28 31 00.6 22.4i 13RG98 W84 C~1Iuu 2013 09 10.233044 03 28 27.34 -28 31 01.1 22.4i 13RG98 W84 C~1Iuu 2013 09 10.237558 03 28 27.33 -28 31 01.7 22.8i 13RG98 W84 C~1Iuu 2013 09 10.242037 03 28 27.31 -28 31 02.2 22.5i 13RG98 W84 C~1Iuu 2013 09 10.246528 03 28 27.31 -28 31 02.7 22.5i 13RG98 W84 C~1Iuu 2013 09 10.252442 03 28 27.29 -28 31 03.4 22.8r 13RG98 W84 C~1Iuu 2013 09 10.257431 03 28 27.28 -28 31 03.9 22.7r 13RG98 W84 C~1Iuu 2013 09 10.262384 03 28 27.27 -28 31 04.5 22.9r 13RG98 W84 C~1Iuu 2013 09 17.361817 03 28 06.96 -28 44 08.0 22.3i 13RG98 W84 C~1Iuu 2013 09 17.366354 03 28 06.93 -28 44 08.6 22.7i 13RG98 W84 C~1Iuu 2013 09 17.370868 03 28 06.91 -28 44 08.8 23.2i 13RG98 W84 C~1Iuu 2014 10 13.179080 03 41 18.13 -28 53 15.0 23.9g 13RG98 W84 C~1Iuu 2014 10 13.181285 03 41 18.11 -28 53 15.3 22.9r 13RG98 W84 C~1Iuu 2014 10 13.183623 03 41 18.09 -28 53 15.5 22.3i 13RG98 W84 C~1Iuu 2014 10 13.187431 03 41 18.06 -28 53 15.8 22.6z 13RG98 W84 C~1Iuu 2014 10 19.337807 03 40 32.38 -29 01 42.1 23.1g 13RG98 W84 C~1Iuu 2014 10 19.340023 03 40 32.37 -29 01 42.3 22.6r 13RG98 W84 C~1Iuu 2014 10 19.342373 03 40 32.35 -29 01 42.5 22.4i 13RG98 W84 C~1Iuu 2014 10 19.346169 03 40 32.33 -29 01 42.8 22.4z 13RG98 W84 C~1Iuu 2014 10 26.352483 03 39 34.94 -29 10 06.7 23.6g 13RG98 W84 C~1Iuu 2014 10 26.354699 03 39 34.92 -29 10 06.9 22.7r 13RG98 W84 C~1Iuu 2014 10 26.357060 03 39 34.91 -29 10 07.0 22.9i 13RG98 W84 C~1Iuu 2014 10 26.360845 03 39 34.86 -29 10 07.2 22.2z 13RG98 W84 C~1Iuu 2014 11 02.242830 03 38 34.14 -29 16 57.7 23.1g 13RG98 W84 C~1Iuu 2014 11 02.245035 03 38 34.13 -29 16 57.8 22.9r 13RG98 W84 C~1Iuu 2014 11 02.250023 03 38 34.08 -29 16 58.2 22.4z 13RG98 W84 C~1Iuu 2014 11 12.169369 03 37 01.39 -29 24 06.2 23.2g 13RG98 W84 C~1Iuu 2014 11 12.171562 03 37 01.38 -29 24 06.3 22.6r 13RG98 W84 C~1Iuu 2014 11 12.173900 03 37 01.34 -29 24 06.3 22.3i 13RG98 W84 C~1Iuu 2014 11 12.177697 03 37 01.31 -29 24 06.5 22.4z 13RG98 W84 C~1Iuu 2014 11 19.304207 03 35 52.81 -29 27 06.9 22.9g 13RG98 W84 C~1Iuu 2014 11 19.306412 03 35 52.78 -29 27 06.9 22.8r 13RG98 W84 C~1Iuu 2014 11 19.308750 03 35 52.76 -29 27 07.0 22.5i 13RG98 W84 C~1Iuu 2014 11 19.312546 03 35 52.72 -29 27 07.2 22.1z 13RG98 W84 C~1Iuu 2014 11 26.304184 03 34 45.66 -29 28 14.9 23.2g 13RG98 W84 C~1Iuu 2014 11 26.306400 03 34 45.64 -29 28 15.0 22.7r 13RG98 W84 C~1Iuu 2014 11 26.308750 03 34 45.62 -29 28 14.9 22.5i 13RG98 W84 C~1Iuu 2014 11 26.312546 03 34 45.57 -29 28 15.0 22.2z 13RG98 W84 C~1Iuu 2014 12 01.123524 03 34 00.26 -29 27 58.2 23.4g 13RG98 W84 C~1Iuu 2014 12 01.125729 03 34 00.25 -29 27 58.3 22.8r 13RG98 W84 C~1Iuu 2014 12 01.128079 03 34 00.24 -29 27 58.4 22.7i 13RG98 W84 C~1Iuu 2014 12 01.131875 03 34 00.19 -29 27 58.2 22.5z 13RG98 W84 C~1Iuu 2015 01 03.142384 03 29 43.77 -29 03 46.3 22.8r 13RG98 W84 C~1Iuu 2015 01 03.147361 03 29 43.75 -29 03 46.0 22.8r 13RG98 W84 C~1Iuu 2015 01 03.152315 03 29 43.71 -29 03 45.7 22.9r 13RG98 W84 C~1Iuu 2015 01 03.158333 03 29 43.66 -29 03 45.2 22.5i 13RG98 W84 C~1Iuu 2015 01 03.162801 03 29 43.65 -29 03 44.7 22.5i 13RG98 W84 C~1Iuu 2015 01 03.171794 03 29 43.60 -29 03 44.2 22.5i 13RG98 W84 C~1Iuu 2015 01 03.176296 03 29 43.57 -29 03 43.8 22.4i 13RG98 W84 C~1Iuu 2015 01 04.045868 03 29 38.78 -29 02 36.7 22.2z 13RG98 W84 C~1Iuu 2015 01 04.050012 03 29 38.75 -29 02 36.3 22.6z 13RG98 W84 C~1Iuu 2015 01 04.054120 03 29 38.72 -29 02 36.0 22.4z 13RG98 W84 C~1Iuu 2015 01 04.058287 03 29 38.70 -29 02 35.8 22.4z 13RG98 W84 C~1Iuu 2015 01 04.062431 03 29 38.69 -29 02 35.4 22.6z 13RG98 W84 C~1Iuu 2015 01 04.066574 03 29 38.66 -29 02 35.1 22.3z 13RG98 W84 C~1Iuu 2015 01 04.070729 03 29 38.64 -29 02 34.8 22.3z 13RG98 W84 C~1Iuu 2015 01 04.074873 03 29 38.61 -29 02 34.4 22.3z 13RG98 W84 C~1Iuu 2015 01 04.079016 03 29 38.59 -29 02 34.2 22.5z 13RG98 W84 C~1Iuu 2015 01 04.083160 03 29 38.56 -29 02 33.8 22.3z 13RG98 W84 C~1Iuu 2015 01 04.087303 03 29 38.53 -29 02 33.4 22.3z 13RG98 W84 C~1Iuu 2015 01 17.074815 03 28 42.24 -28 43 30.2 22.7r 13RG98 W84 C~1Iuu 2015 01 17.079769 03 28 42.22 -28 43 29.6 22.8r 13RG98 W84 C~1Iuu 2015 01 17.084722 03 28 42.20 -28 43 29.2 22.8r 13RG98 W84 C~1Iuu 2015 01 18.129653 03 28 39.01 -28 41 46.6 22.5z 13RG98 W84 C~1Iuu 2015 01 18.133796 03 28 38.99 -28 41 46.2 22.4z 13RG98 W84 C~1Iuu 2015 01 18.137940 03 28 38.98 -28 41 45.8 22.2z 13RG98 W84 C~1Iuu 2015 01 18.142072 03 28 38.97 -28 41 45.4 22.3z 13RG98 W84 C~1Iuu 2015 01 18.146215 03 28 38.95 -28 41 45.0 22.1z 13RG98 W84 C~1Iuu 2015 01 18.150359 03 28 38.94 -28 41 44.5 22.2z 13RG98 W84 C~1Iuu 2015 01 18.154491 03 28 38.93 -28 41 44.1 22.3z 13RG98 W84 C~1Iuu 2015 01 18.158634 03 28 38.92 -28 41 43.8 22.4z 13RG98 W84 C~1Iuu 2015 01 18.162778 03 28 38.90 -28 41 43.4 22.3z 13RG98 W84 C~1Iuu 2015 01 18.166921 03 28 38.89 -28 41 42.9 22.1z 13RG98 W84 C~1Iuu 2015 01 18.171065 03 28 38.88 -28 41 42.5 22.5z 13RG98 W84 C~1Iuu 2015 01 19.069479 03 28 36.32 -28 40 13.2 23.4g 13RG98 W84 C~1Iuu 2015 01 19.072106 03 28 36.31 -28 40 13.0 23.3g 13RG98 W84 C~1Iuu 2015 01 19.074745 03 28 36.31 -28 40 12.7 23.2g 13RG98 W84 C~1Iuu 2015 01 22.123738 03 28 28.73 -28 35 02.2 22.8r 13RG98 W84 C~1Iuu 2015 01 22.152083 03 28 28.66 -28 34 59.2 22.5i 13RG98 W84 C~1Iuu 2015 01 22.165532 03 28 28.63 -28 34 57.9 22.6i 13RG98 W84 C~1Iuu 2015 12 16.253727 03 47 29.25 -28 46 38.1 22.5r 13RG98 W84 C~1h5k 2015 12 16.255093 03 47 29.24 -28 46 38.0 22.0i 13RG98 W84 C~1h5k 2015 12 16.256458 03 47 29.22 -28 46 37.9 23.4g 13RG98 W84 C~1h5k 2020 02 18.111040 04 44 50.001 -23 44 17.13 22.6G 13RG98 G37 C~3jKP 2020 02 18.141150 04 44 49.986 -23 44 13.10 13RG98 G37 C~3jKP 2021 11 01.590476 05 30 16.555 -22 10 32.15 22.5w 13RG98 F51 C~5BQc 2021 11 01.601273 05 30 16.466 -22 10 32.44 22.5w 13RG98 F51 C~5BQc 2021 11 01.612088 05 30 16.401 -22 10 33.57 22.3w 13RG98 F51 C~5BQc 2021 11 12.518859 05 28 56.501 -22 22 45.57 22.2w 13RG98 F51 C~5Fsq 2021 11 12.530495 05 28 56.425 -22 22 45.81 22.3w 13RG98 F51 C~5Fsq 2021 11 12.542142 05 28 56.293 -22 22 46.54 22.4w 13RG98 F51 C~5Fsq
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 -0.42 0.00 -0.13
2 0.0000 0.00 0.46 0.00 0.11
3 0.0000 0.00 0.08 0.00 -0.02
4 0.0000 0.00 -0.01 0.00 -0.25
5 0.0001 0.00 0.05 0.00 -0.08
6 0.0001 0.00 -0.03 0.00 -0.21
7 0.0001 0.00 0.03 0.00 0.06
8 0.0001 0.00 0.10 0.00 -0.07
9 0.0001 0.00 0.01 0.00 0.00
10 0.0001 0.00 0.08 0.00 -0.02
11 0.0002 0.00 0.40 0.00 -0.01
12 0.0002 0.00 0.02 0.00 -0.10
13 0.0002 0.00 0.09 0.00 0.01
14 0.0002 0.00 0.02 0.00 0.02
15 0.0002 0.00 0.09 0.00 -0.07
16 0.0003 0.00 -0.01 0.00 -0.10
17 0.0003 0.00 0.07 0.00 -0.03
18 0.0004 0.00 0.15 0.00 -0.06
19 0.0190 0.00 -0.01 0.00 0.16
20 0.0190 0.00 -0.01 0.00 0.16
21 0.0190 0.00 -0.00 0.00 0.07
22 0.0191 0.00 -0.14 0.00 0.08
23 0.0191 0.00 0.01 0.00 0.08
24 0.0191 0.00 -0.08 0.00 0.05
25 0.0191 0.00 -0.06 0.00 0.11
26 0.0191 0.00 -0.03 0.00 0.06
27 0.0386 0.00 -0.02 0.00 0.15
28 0.0386 0.00 -0.22 0.00 0.04
29 0.0386 0.00 -0.27 0.00 0.33
30 1.1086 0.00 -0.06 0.00 -0.10
31 1.1086 0.00 -0.12 0.00 -0.21
32 1.1086 0.00 -0.17 0.00 -0.20
33 1.1086 0.00 -0.21 0.00 -0.17
34 1.1254 0.00 0.04 0.00 0.08
35 1.1254 0.00 0.16 0.00 0.05
36 1.1254 0.00 0.14 0.00 0.03
37 1.1254 0.00 0.29 0.00 0.03
38 1.1446 0.00 -0.08 0.00 0.30
39 1.1446 0.00 -0.10 0.00 0.24
40 1.1446 0.00 0.06 0.00 0.30
41 1.1446 0.00 -0.20 0.00 0.34
42 1.1635 0.00 -0.09 0.00 0.07
43 1.1635 0.00 0.07 0.00 0.09
44 1.1635 0.00 0.01 0.00 -0.05
45 1.1907 0.00 -0.13 0.00 0.15
46 1.1907 0.00 0.04 0.00 0.12
47 1.1907 0.00 -0.22 0.00 0.20
48 1.1907 0.00 -0.11 0.00 0.12
49 1.2102 0.00 -0.01 0.00 -0.02
50 1.2102 0.00 -0.14 0.00 0.02
51 1.2102 0.00 -0.09 0.00 -0.05
52 1.2102 0.00 -0.14 0.00 -0.18
53 1.2294 0.00 0.22 0.00 0.22
54 1.2294 0.00 0.24 0.00 0.12
55 1.2294 0.00 0.28 0.00 0.22
56 1.2294 0.00 0.08 0.00 0.13
57 1.2426 0.00 -0.27 0.00 0.24
58 1.2426 0.00 -0.11 0.00 0.12
59 1.2426 0.00 0.07 0.00 0.00
60 1.2426 0.00 -0.14 0.00 0.17
61 1.3330 0.00 0.15 0.00 -0.06
62 1.3330 0.00 0.28 0.00 -0.15
63 1.3330 0.00 0.11 0.00 -0.23
64 1.3330 0.00 -0.12 0.00 -0.19
65 1.3330 0.00 0.11 0.00 -0.03
66 1.3330 0.00 0.14 0.00 -0.23
67 1.3331 0.00 0.07 0.00 -0.17
68 1.3354 0.00 0.12 0.00 -0.04
69 1.3354 0.00 0.02 0.00 0.04
70 1.3355 0.00 -0.09 0.00 0.02
71 1.3355 0.00 -0.03 0.00 -0.10
72 1.3355 0.00 0.17 0.00 -0.03
73 1.3355 0.00 0.07 0.00 -0.05
74 1.3355 0.00 0.12 0.00 -0.07
75 1.3355 0.00 0.02 0.00 0.00
76 1.3355 0.00 0.06 0.00 -0.12
77 1.3355 0.00 -0.04 0.00 -0.04
78 1.3355 0.00 -0.14 0.00 0.03
79 1.3711 0.00 -0.08 0.00 -0.13
80 1.3711 0.00 -0.13 0.00 -0.01
81 1.3711 0.00 -0.18 0.00 -0.10
82 1.3740 0.00 -0.01 0.00 -0.03
83 1.3740 0.00 -0.12 0.00 -0.04
84 1.3740 0.00 -0.08 0.00 -0.05
85 1.3740 0.00 -0.04 0.00 -0.07
86 1.3740 0.00 -0.15 0.00 -0.08
87 1.3740 0.00 -0.11 0.00 0.01
88 1.3741 0.00 -0.07 0.00 -0.00
89 1.3741 0.00 -0.03 0.00 -0.11
90 1.3741 0.00 -0.14 0.00 -0.13
91 1.3741 0.00 -0.10 0.00 -0.04
92 1.3741 0.00 -0.06 0.00 -0.05
93 1.3766 0.00 -0.05 0.00 0.01
94 1.3766 0.00 -0.08 0.00 -0.05
95 1.3766 0.00 0.04 0.00 -0.02
96 1.3849 0.00 0.01 0.00 0.03
97 1.3850 0.00 -0.07 0.00 0.07
98 1.3850 0.00 -0.06 0.00 -0.04
99 2.2833 0.00 0.18 0.00 -0.11
100 2.2833 0.00 0.21 0.00 -0.06
101 2.2833 0.00 0.09 0.00 -0.01
102 6.4581 0.00 0.05 0.00 -0.05
103 6.4582 0.00 0.14 0.00 0.22
104 8.1624 0.00 0.22 0.00 -0.22
105 8.1624 0.00 -0.03 0.00 0.30
106 8.1624 0.00 0.08 0.00 -0.02
107 8.1923 0.00 -0.15 0.00 -0.31
108 8.1923 0.00 0.15 0.00 0.13
109 8.1924 0.00 -0.38 0.00 0.07
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.
13RG98 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 23.320 23.320 23.320 ecceobj 0.167 0.167 0.167 incobj 45.986 45.986 45.986 qmin 14.313 18.536 14.511 qmax 32.473 28.538 32.296 amean 23.281 23.278 23.278 amin 23.013 23.062 23.055 amax 23.612 23.589 23.542 emean 0.284 0.178 0.233 emin 0.164 0.164 0.052 emax 0.383 0.210 0.377 imean 42.792 44.552 43.409 imin 40.960 44.038 40.733 imax 44.884 44.884 45.331 excite_mean 0.740 0.724 0.732 fracstop 0.101 0.024 0.157 cjmean 2.524 2.533 2.523 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 90.9 79.4 83.6 kozaiamp 179.5 179.5 179.5