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: 13RP109 # Created Sun May 5 01:14:12 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 60 observations of 60 # Arc: 5.13y # First observation: 2013/09/02 # Last observation: 2018/10/18 # Chi-squared of fit: 10.11 DOF: 114 RMS: 0.07 # Min/Max residuals: -0.18 0.35 # Exact a, adot, b, bdot, g, gdot: 1.588866E-05 2.655376E-02 -6.719228E-07 -2.080133E-04 2.549270E-02 -1.945353E-04 # Covariance matrix: 1.5408E-13 -3.0739E-14 -7.8033E-16 1.5835E-16 8.8695E-14 -2.4557E-14 -3.0739E-14 7.7179E-14 8.5453E-17 -5.6046E-16 3.6575E-14 6.7914E-13 -7.8033E-16 8.5453E-17 7.3827E-14 -2.0983E-14 -8.6893E-16 1.4386E-16 1.5835E-16 -5.6046E-16 -2.0983E-14 8.9282E-15 -2.0717E-16 -5.5047E-15 8.8695E-14 3.6575E-14 -8.6893E-16 -2.0717E-16 1.3145E-13 4.5030E-13 -2.4557E-14 6.7914E-13 1.4386E-16 -5.5047E-15 4.5030E-13 6.8242E-12 # lat0 lon0 xBary yBary zBary JD0 -2.356290 4.549023 0.425339 -0.037581 -0.915390 2456537.773598 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 350.19246 +/- 0.047 Argument of Peri: 270.50739 +/- 0.059 Long of Asc Node: 105.60819 +/- 0.005 Inclination: 2.35093 +/- 0.000 Eccentricity: 0.10493947 +/- 0.0000 Semi-Major Axis: 44.75556860 +/- 0.0028 Time of Perihelion: 2459517.8839 +/- 17.3 Perihelion: 40.05894286 +/- 0.0033 Aphelion: 49.45219434 +/- 0.0037 Period (y) 299.4186 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.01699115 +/- 0.0006 Ecliptic Y 2.76030049 +/- 0.0000 Ecliptic Z -1.61278801 +/- 0.0000 Ecliptic XDOT -0.00025409 +/- 0.0000 Ecliptic YDOT 0.00284000 +/- 0.0000 Ecliptic ZDOT -0.00002132 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.14450100 +/- 0.0006 Geocenter to KBO 39.22694671 +/- 0.0006 # Hcoef: 6.68
The following table shows the complete astrometric record for 13RP109. 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 (13RP109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.27282 00 20 26.309 -00 21 18.64 23.4g 13RP109 W84 C~4yQp 2013 09 11.29992 00 19 48.166 -00 25 39.21 23.9g 13RP109 W84 C~4yQp 2013 09 11.29992 00 19 48.17 -00 25 39.2 23.9g 13RP109 W84 C~3cl8 2013 10 13.08917 00 17 23.826 -00 41 17.10 22.2z 13RP109 W84 C~4yQp 2013 10 13.08917 00 17 23.83 -00 41 17.1 22.3z 13RP109 W84 C~3cl8 2013 10 13.11349 00 17 23.718 -00 41 17.74 22.2i 13RP109 W84 C~4yQp 2013 10 13.11349 00 17 23.72 -00 41 17.7 22.3i 13RP109 W84 C~3cl8 2013 11 22.08973 00 15 04.523 -00 54 50.76 23.7g 13RP109 W84 C~4yQp 2013 11 22.08973 00 15 04.52 -00 54 50.8 23.9g 13RP109 W84 C~3cl8 2013 11 22.09111 00 15 04.521 -00 54 50.67 22.7r 13RP109 W84 C~4yQp 2013 11 22.09111 00 15 04.52 -00 54 50.7 22.8r 13RP109 W84 C~3cl8 2013 11 22.09392 00 15 04.517 -00 54 50.79 22.3i 13RP109 W84 C~4yQp 2013 11 22.09392 00 15 04.52 -00 54 50.8 22.5i 13RP109 W84 C~3cl8 2013 11 23.09694 00 15 02.385 -00 55 01.33 22.7r 13RP109 W84 C~4yQp 2013 11 23.09694 00 15 02.39 -00 55 01.3 22.6r 13RP109 W84 C~3cl8 2013 11 23.09831 00 15 02.377 -00 55 01.35 22.2i 13RP109 W84 C~4yQp 2013 11 23.09831 00 15 02.38 -00 55 01.4 22.3i 13RP109 W84 C~3cl8 2014 08 18.30649 00 26 57.310 +00 20 41.38 22.6z 13RP109 W84 C~4yQp 2014 08 18.30649 00 26 57.31 +00 20 41.4 22.8z 13RP109 W84 C~3cl8 2014 11 13.10105 00 21 02.024 -00 17 29.87 22.2z 13RP109 W84 C~4yQp 2014 11 13.10105 00 21 02.02 -00 17 29.9 22.0z 13RP109 W84 C~3cl8 2014 11 18.03260 00 20 48.171 -00 18 45.29 21.6z 13RP109 W84 C~4yQp 2014 11 18.03260 00 20 48.15 -00 18 45.3 22.3z 13RP109 W84 C~3cl8 2015 10 17.15966 00 28 21.027 +00 28 10.73 22.7r 13RP109 W84 C~4yQp 2015 10 17.15966 00 28 21.03 +00 28 10.7 22.9r 13RP109 W84 C~3cl8 2015 11 02.09796 00 27 15.138 +00 21 32.06 23.1r 13RP109 W84 C~4yQp 2015 11 02.09796 00 27 15.14 +00 21 32.1 23.1r 13RP109 W84 C~3cl8 2016 09 09.33297 00 36 45.259 +01 21 48.59 22.5r 13RP109 W84 C~4yQp 2016 09 09.33297 00 36 45.26 +01 21 48.6 22.8r 13RP109 W84 C~3cl8 2016 09 09.33434 00 36 45.254 +01 21 48.61 22.3i 13RP109 W84 C~4yQp 2016 09 09.33434 00 36 45.25 +01 21 48.6 22.4i 13RP109 W84 C~3cl8 2016 09 09.33570 00 36 45.253 +01 21 48.48 23.4g 13RP109 W84 C~4yQp 2016 09 09.33570 00 36 45.25 +01 21 48.5 23.5g 13RP109 W84 C~3cl8 2016 09 10.26940 00 36 41.330 +01 21 21.90 22.2z 13RP109 W84 C~4yQp 2016 11 08.14149 00 32 25.689 +00 54 33.00 22.1z 13RP109 W84 C~4yQp 2016 11 08.14149 00 32 25.69 +00 54 33.0 22.3z 13RP109 W84 C~3cl8 2016 11 18.11310 00 31 54.144 +00 51 37.68 22.8r 13RP109 W84 C~4yQp 2016 11 18.11310 00 31 54.14 +00 51 37.7 22.7r 13RP109 W84 C~3cl8 2016 11 19.10268 00 31 51.382 +00 51 22.98 23.7g 13RP109 W84 C~4yQp 2016 11 19.10268 00 31 51.38 +00 51 22.9 23.7g 13RP109 W84 C~3cl8 2016 12 04.07842 00 31 19.133 +00 48 45.40 22.2z 13RP109 W84 C~4yQp 2016 12 04.07842 00 31 19.13 +00 48 45.4 22.1z 13RP109 W84 C~3cl8 2016 12 04.07979 00 31 19.125 +00 48 45.27 22.0Y 13RP109 W84 C~4yQp 2017 08 22.324051 00 43 29.23 +02 05 04.8 22.2i 13RP109 W84 C~35bX 2017 08 22.325440 00 43 29.23 +02 05 04.8 22.5r 13RP109 W84 C~35bX 2017 08 22.32596 00 43 29.229 +02 05 04.60 21.9r 13RP109 W84 C~4yQp 2017 08 22.326806 00 43 29.22 +02 05 04.8 23.5g 13RP109 W84 C~35bX 2017 09 27.201470 00 41 04.36 +01 48 42.9 22.6r 13RP109 W84 C~35bX 2017 09 27.20200 00 41 04.364 +01 48 42.84 22.6r 13RP109 W84 C~4yQp 2017 09 27.202836 00 41 04.36 +01 48 42.8 22.1i 13RP109 W84 C~35bX 2017 09 27.20337 00 41 04.358 +01 48 42.77 22.1i 13RP109 W84 C~4yQp 2017 09 27.204201 00 41 04.34 +01 48 42.8 23.9g 13RP109 W84 C~35bX 2017 09 27.20473 00 41 04.345 +01 48 42.66 23.6g 13RP109 W84 C~4yQp 2017 10 20.201944 00 39 18.82 +01 37 37.7 24.0g 13RP109 W84 C~35bX 2017 10 20.20247 00 39 18.819 +01 37 37.70 24.1g 13RP109 W84 C~4yQp 2017 10 29.131551 00 38 40.67 +01 33 47.2 21.8z 13RP109 W84 C~35bX 2017 10 29.13208 00 38 40.673 +01 33 47.15 21.9z 13RP109 W84 C~4yQp 2018 09 09.24289 00 48 01.680 +02 32 58.26 21.9z 13RP109 W84 C~4yQp 2018 10 18.19480 00 45 06.414 +02 14 09.74 22.4i 13RP109 W84 C~4yQp 2018 10 18.19616 00 45 06.411 +02 14 09.65 22.2z 13RP109 W84 C~4yQp
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 0.07 0.00 0.15
2 0.0247 0.00 0.17 0.00 -0.03
3 0.0247 0.00 0.11 0.00 -0.04
4 0.1117 0.00 -0.03 0.00 -0.05
5 0.1117 0.00 0.03 0.00 -0.05
6 0.1118 0.00 0.02 0.00 0.02
7 0.1118 0.00 -0.01 0.00 -0.02
8 0.2213 0.00 -0.14 0.00 -0.08
9 0.2213 0.00 -0.10 0.00 -0.04
10 0.2213 0.00 -0.10 0.00 0.03
11 0.2213 0.00 -0.08 0.00 0.06
12 0.2213 0.00 -0.05 0.00 -0.03
13 0.2213 0.00 -0.00 0.00 -0.04
14 0.2240 0.00 0.11 0.00 0.06
15 0.2240 0.00 0.03 0.00 0.03
16 0.2240 0.00 0.00 0.00 -0.03
17 0.2240 0.00 -0.04 0.00 0.02
18 0.9583 0.00 -0.08 0.00 -0.04
19 0.9583 0.00 -0.08 0.00 -0.06
20 1.1960 0.00 -0.10 0.00 0.01
21 1.1960 0.00 -0.04 0.00 0.04
22 1.2095 0.00 0.03 0.00 0.02
23 1.2095 0.00 0.35 0.00 0.03
24 2.1215 0.00 0.06 0.00 -0.02
25 2.1215 0.00 0.02 0.00 0.01
26 2.1652 0.00 0.02 0.00 0.08
27 2.1652 0.00 -0.01 0.00 0.04
28 3.0200 0.00 0.04 0.00 -0.01
29 3.0200 0.00 0.02 0.00 -0.02
30 3.0200 0.00 -0.02 0.00 0.03
31 3.0200 0.00 0.04 0.00 0.04
32 3.0200 0.00 0.06 0.00 -0.03
33 3.0200 0.00 0.11 0.00 -0.05
34 3.0226 0.00 0.04 0.00 -0.07
35 3.1838 0.00 0.07 0.00 -0.04
36 3.1838 0.00 0.05 0.00 -0.04
37 3.2111 0.00 0.00 0.00 0.11
38 3.2111 0.00 0.06 0.00 0.09
39 3.2138 0.00 -0.07 0.00 0.05
40 3.2138 0.00 -0.04 0.00 0.13
41 3.2548 0.00 -0.01 0.00 0.02
42 3.2548 0.00 0.03 0.00 0.02
43 3.2548 0.00 -0.05 0.00 -0.10
44 3.9700 0.00 -0.08 0.00 0.00
45 3.9700 0.00 -0.01 0.00 0.04
46 3.9700 0.00 0.00 0.00 -0.15
47 3.9700 0.00 -0.09 0.00 0.07
48 4.0683 0.00 -0.07 0.00 0.06
49 4.0683 0.00 0.02 0.00 0.02
50 4.0683 0.00 0.02 0.00 0.00
51 4.0683 0.00 0.03 0.00 -0.01
52 4.0683 0.00 -0.18 0.00 0.04
53 4.0683 0.00 -0.07 0.00 -0.08
54 4.1312 0.00 -0.13 0.00 -0.02
55 4.1312 0.00 -0.11 0.00 -0.01
56 4.1557 0.00 0.03 0.00 0.05
57 4.1557 0.00 0.11 0.00 0.01
58 5.0184 0.00 0.16 0.00 0.01
59 5.1250 0.00 0.07 0.00 0.01
60 5.1250 0.00 0.12 0.00 -0.05
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.
13RP109 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.024 45.024 45.024 ecceobj 0.110 0.110 0.110 incobj 2.351 2.351 2.351 qmin 39.089 39.092 39.087 qmax 50.743 50.768 50.720 amean 44.757 44.756 44.757 amin 44.389 44.393 44.390 amax 45.170 45.167 45.169 emean 0.108 0.108 0.108 emin 0.093 0.093 0.092 emax 0.124 0.124 0.124 imean 1.107 1.107 1.107 imin 0.262 0.262 0.262 imax 1.808 1.808 1.809 excite_mean 0.110 0.110 0.110 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 171.5 171.6 171.6 kozaiamp 179.9 179.9 180.0