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: 13RP124 # Created Sun Dec 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 8.00y # First observation: 2013/09/09 # Last observation: 2021/09/08 # Chi-squared of fit: 6.75 DOF: 48 RMS: 0.09 # Min/Max residuals: -0.24 0.17 # Exact a, adot, b, bdot, g, gdot: 1.477889E-05 2.672858E-02 9.855951E-06 1.647172E-02 2.777352E-02 3.684622E-04 # Covariance matrix: 3.2846E-13 2.9534E-14 -1.8195E-14 3.9272E-14 4.3095E-13 3.1551E-13 2.9534E-14 8.1091E-14 -2.6275E-14 4.8791E-14 1.4586E-13 3.8737E-13 -1.8195E-14 -2.6275E-14 9.2262E-14 -3.3518E-14 -5.5650E-14 -1.4102E-13 3.9272E-14 4.8791E-14 -3.3518E-14 4.1805E-14 1.1191E-13 2.6372E-13 4.3095E-13 1.4586E-13 -5.5650E-14 1.1191E-13 8.2458E-13 8.9431E-13 3.1551E-13 3.8737E-13 -1.4102E-13 2.6372E-13 8.9431E-13 2.0950E-12 # lat0 lon0 xBary yBary zBary JD0 -7.180523 18.233751 0.530669 -0.107037 -0.850392 2456544.814348 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 359.78137 +/- 0.011 Argument of Peri: 347.08842 +/- 0.016 Long of Asc Node: 28.66578 +/- 0.000 Inclination: 32.21300 +/- 0.000 Eccentricity: 0.19360899 +/- 0.0001 Semi-Major Axis: 45.71012934 +/- 0.0072 Time of Perihelion: 2456613.0532 +/- 27.0 Perihelion: 36.86023759 +/- 0.0075 Aphelion: 54.56002109 +/- 0.0098 Period (y) 309.0487 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.90910282 +/- 0.0011 Ecliptic Y 10.94472344 +/- 0.0003 Ecliptic Z -4.50021353 +/- 0.0001 Ecliptic XDOT -0.00060361 +/- 0.0000 Ecliptic YDOT 0.00257617 +/- 0.0000 Ecliptic ZDOT 0.00160661 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.86033636 +/- 0.0011 Geocenter to KBO 36.00554516 +/- 0.0012 # Hcoef: 6.93
The following table shows the complete astrometric record for 13RP124. 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 (13RP124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.31357 01 18 10.946 +00 30 16.10 23.3g 13RP124 W84 C~4yQs 2013 09 12.35288 01 17 57.48 +00 29 04.9 23.4g 13RP124 W84 C~3clA 2013 10 03.12407 01 16 14.151 +00 20 38.41 23.1g 13RP124 W84 C~4yQs 2013 10 07.09488 01 15 52.88 +00 19 03.2 23.3g 13RP124 W84 C~3qKc 2013 10 07.09752 01 15 52.87 +00 19 03.2 13RP124 W84 C~3qKc 2013 10 08.05406 01 15 47.71 +00 18 40.6 22.4i 13RP124 W84 C~3wor 2013 10 08.05937 01 15 47.69 +00 18 40.6 13RP124 W84 C~3wor 2013 10 08.07531 01 15 47.60 +00 18 40.0 13RP124 W84 C~3qKc 2013 10 08.07797 01 15 47.58 +00 18 40.1 13RP124 W84 C~3qKc 2013 10 08.08321 01 15 47.56 +00 18 40.0 13RP124 W84 C~3qKc 2013 10 09.12943 01 15 41.91 +00 18 15.4 13RP124 W84 C~3wor 2013 10 09.35023 01 15 40.70 +00 18 10.4 13RP124 W84 C~3wor 2013 11 08.20827 01 13 04.271 +00 08 44.41 22.7r 13RP124 W84 C~4yQs 2013 11 08.20964 01 13 04.278 +00 08 44.47 22.1i 13RP124 W84 C~4yQs 2014 11 17.14736 01 16 38.835 +01 34 08.08 22.4z 13RP124 W84 C~4yQs 2014 11 27.08042 01 15 58.668 +01 32 56.33 22.7z 13RP124 W84 C~4yQs 2015 11 02.13274 01 22 06.837 +03 04 48.26 23.6g 13RP124 W84 C~4yQs 2015 11 06.18915 01 21 46.153 +03 03 39.10 22.6i 13RP124 W84 C~4yQs 2015 11 06.19053 01 21 46.140 +03 03 39.13 22.2r 13RP124 W84 C~4yQs 2015 11 06.19192 01 21 46.128 +03 03 38.89 22.8g 13RP124 W84 C~4yQs 2016 10 23.21286 01 27 11.102 +04 34 56.11 22.3r 13RP124 W84 C~4yQs 2016 10 23.21423 01 27 11.089 +04 34 56.04 23.0g 13RP124 W84 C~4yQs 2016 10 29.15737 01 26 39.165 +04 32 55.50 22.3i 13RP124 W84 C~4yQs 2016 11 07.18357 01 25 52.447 +04 30 11.82 22.1z 13RP124 W84 C~4yQs 2021 09 08.434429 01 52 32.161 +12 00 04.78 22.6w 13RP124 F52 C~52RJ 2021 09 08.444753 01 52 32.128 +12 00 04.51 22.3w 13RP124 F52 C~52RJ 2021 09 08.455088 01 52 32.084 +12 00 04.50 22.4w 13RP124 F52 C~52RJ
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 0.12 0.00 -0.06
2 0.0083 0.00 -0.03 0.00 0.16
3 0.0652 0.00 0.08 0.00 0.00
4 0.0761 0.00 -0.09 0.00 -0.10
5 0.0761 0.00 -0.02 0.00 -0.03
6 0.0787 0.00 -0.12 0.00 -0.05
7 0.0787 0.00 0.01 0.00 0.07
8 0.0787 0.00 -0.03 0.00 -0.15
9 0.0788 0.00 -0.11 0.00 0.01
10 0.0788 0.00 0.01 0.00 0.03
11 0.0816 0.00 0.07 0.00 -0.05
12 0.0822 0.00 0.09 0.00 0.10
13 0.1640 0.00 -0.12 0.00 -0.00
14 0.1640 0.00 0.09 0.00 0.07
15 1.1878 0.00 0.17 0.00 0.15
16 1.2150 0.00 -0.01 0.00 -0.01
17 2.1460 0.00 -0.10 0.00 -0.24
18 2.1571 0.00 0.03 0.00 0.04
19 2.1571 0.00 -0.06 0.00 0.10
20 2.1571 0.00 -0.13 0.00 -0.12
21 3.1209 0.00 0.03 0.00 0.03
22 3.1209 0.00 -0.05 0.00 -0.01
23 3.1371 0.00 0.14 0.00 -0.03
24 3.1619 0.00 0.09 0.00 0.12
25 7.9976 0.00 -0.05 0.00 0.08
26 7.9976 0.00 0.04 0.00 -0.09
27 7.9976 0.00 -0.02 0.00 0.01
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.
13RP124 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.968 45.968 45.968 ecceobj 0.198 0.198 0.198 incobj 32.157 32.157 32.157 qmin 35.595 35.599 35.674 qmax 56.170 55.996 56.097 amean 45.651 45.646 45.651 amin 45.249 45.240 45.261 amax 46.115 46.117 46.110 emean 0.201 0.201 0.200 emin 0.184 0.184 0.183 emax 0.218 0.217 0.217 imean 31.668 31.663 31.675 imin 31.243 31.247 31.284 imax 32.084 32.109 32.086 excite_mean 0.562 0.562 0.562 fracstop 1.000 1.000 1.000 cjmean 2.713 2.713 2.713 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 177.4 178.0 177.7 kozaiamp 179.9 180.0 179.9