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: 13RN30
# Created Wed Apr 24 01:14:42 2024
# Orbit generated from Bernstein formalism
# Fitting 40 observations of 42
# Arc: 1.14y
# First observation: 2013/08/28
# Last observation: 2014/10/18
Preliminary a, adot, b, bdot, g, gdot:
0.000481 0.358569 0.000141 -0.104841 0.142394 0.000000
# WARNING -- MRQMIN stopped after 23 iterations
# Chi-squared of fit: 29.68 DOF: 74 RMS: 0.15
# Min/Max residuals: -0.40 0.40
# Exact a, adot, b, bdot, g, gdot:
3.984911E-05 3.411281E-01 -1.175847E-05 -9.988386E-02 1.370116E-01 -2.364425E-02
# Covariance matrix:
6.5302E-14 8.1379E-13 7.5571E-15 -2.7849E-13 2.6346E-13 2.3763E-12
8.1379E-13 1.0647E-10 9.6632E-13 -3.5416E-11 2.4161E-11 3.0244E-10
7.5571E-15 9.6632E-13 5.5744E-14 -3.7027E-13 2.1804E-13 2.7520E-12
-2.7849E-13 -3.5416E-11 -3.7027E-13 1.2016E-11 -8.0005E-12 -1.0085E-10
2.6346E-13 2.4161E-11 2.1804E-13 -8.0005E-12 5.8946E-12 6.8309E-11
2.3763E-12 3.0244E-10 2.7520E-12 -1.0085E-10 6.8309E-11 8.6124E-10
# lat0 lon0 xBary yBary zBary JD0
3.824726 -7.155731 0.308773 0.064289 -0.960870 2456533.033918
# Heliocentric elements and errors
Epoch: 2456530.5000 = 2013/08/26
Mean Anomaly: 352.76082 +/- 0.006
Argument of Peri: 187.55762 +/- 0.016
Long of Asc Node: 182.12589 +/- 0.000
Inclination: 16.61034 +/- 0.000
Eccentricity: 0.42469048 +/- 0.0000
Semi-Major Axis: 14.12171739 +/- 0.0006
Time of Perihelion: 2456920.2773 +/- 0.3
Perihelion: 8.12435847 +/- 0.0005
Aphelion: 20.11907631 +/- 0.0009
Period (y) 53.0688 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.14256061 +/- 0.0001
Ecliptic Y -1.33069949 +/- 0.0000
Ecliptic Z 0.48679123 +/- 0.0000
Ecliptic XDOT 0.00050728 +/- 0.0000
Ecliptic YDOT 0.00680463 +/- 0.0000
Ecliptic ZDOT -0.00202287 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 8.26492711 +/- 0.0001
Geocenter to KBO 7.29865452 +/- 0.0001
# Hcoef: 12.84
The following table shows the complete astrometric record for 13RN30. 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 (13RN30) followed by the observatory code and reference code for the source of the astrometry.
2013 08 28.53314 23 27 40.512 +00 40 25.89 21.6i 13RN30 F51 C~0uL2 2013 08 28.53905 23 27 40.426 +00 40 25.06 21.8i 13RN30 F51 C~0uL2 2013 08 28.54201 23 27 40.389 +00 40 24.66 21.6i 13RN30 F51 C~0uL2 2013 08 28.54792 23 27 40.298 +00 40 23.63 21.8i 13RN30 F51 C~0uL2 2013 08 29.57117 23 27 24.663 +00 37 50.27 21.4z 13RN30 F51 C~0uL2 2013 08 29.58007 23 27 24.528 +00 37 49.06 21.7z 13RN30 F51 C~0uL2 2013 08 29.58304 23 27 24.470 +00 37 48.60 21.6z 13RN30 F51 C~0uL2 2013 08 29.58600 23 27 24.408 +00 37 48.34 21.7z 13RN30 F51 C~0uL2 2013 08 31.55411 23 26 53.974 +00 32 48.19 21.5i 13RN30 F51 C~0uL2 2013 08 31.55706 23 26 53.934 +00 32 47.88 21.6i 13RN30 F51 C~0uL2 2013 08 31.56002 23 26 53.881 +00 32 47.47 21.7i 13RN30 F51 C~0uL2 2013 08 31.56298 23 26 53.821 +00 32 47.03 21.6i 13RN30 F51 C~0uL2 2013 08 31.56594 23 26 53.787 +00 32 46.50 21.5i 13RN30 F51 C~0uL2 2013 09 03.42880 23 26 08.616 +00 25 20.32 21.6w 13RN30 F51 C~0uL2 2013 09 03.44369 23 26 08.361 +00 25 18.19 21.7w 13RN30 F51 C~0uL2 2013 09 03.45861 23 26 08.114 +00 25 15.70 22.0w 13RN30 F51 C~0uL2 2013 09 03.52550 23 26 07.027 +00 25 04.69 22.3i 13RN30 F51 C~0uL2 2013 09 03.52847 23 26 06.975 +00 25 04.68 22.3i 13RN30 F51 C~0uL2 2013 09 03.53142 23 26 06.925 +00 25 03.94 22.1i 13RN30 F51 C~0uL2 2013 09 03.53734 23 26 06.837 +00 25 03.24 22.2i 13RN30 F51 C~0uL2 2013 09 03.54329 23 26 06.744 +00 25 02.16 22.2i 13RN30 F51 C~0uL2 2013 09 04.292222 23 25 54.79 +00 23 03.5 22.3V 13RN30 H21 C~0uL2 2013 09 04.304745 23 25 54.60 +00 23 01.4 22.0V 13RN30 H21 C~0uL2 2013 09 04.315975 23 25 54.43 +00 22 59.3 21.9V 13RN30 H21 C~0uL2 2013 09 06.29109 23 25 22.54 +00 17 43.8 21.4R 13RN30 291 C~0uL2 2013 09 06.33082 23 25 21.87 +00 17 37.1 21.3R 13RN30 291 C~0uL2 2013 09 07.274020 23 25 06.52 +00 15 04.1 21.6V 13RN30 H21 C~0uL2 2013 09 07.286487 23 25 06.32 +00 15 02.5 21.7V 13RN30 H21 C~0uL2 2013 09 07.299179 23 25 06.14 +00 15 00.3 21.4V 13RN30 H21 C~0uL2 2013 09 30.120532 23 18 59.33 -00 48 38.9 13RN30 W84 C~3xqm 2013 09 30.123553 23 18 59.28 -00 48 39.4 13RN30 W84 C~3xqm 2013 10 12.084931 23 16 15.56 -01 20 32.7 13RN30 W84 C~3xqm 2013 10 12.087801 23 16 15.52 -01 20 32.9 13RN30 W84 C~3xqm 2013 10 13.048206 23 16 03.98 -01 22 58.7 13RN30 W84 C~3xqm 2013 10 13.075729 23 16 03.64 -01 23 02.8 13RN30 W84 C~3xqm 2014 08 27.53110 00 49 52.143 +03 09 12.01 22.1w 13RN30 F51 C~3xqm 2014 08 27.54473 00 49 51.991 +03 09 10.36 22.1w 13RN30 F51 C~3xqm 2014 08 27.57196 00 49 51.730 +03 09 06.81 21.8w 13RN30 F51 C~3xqm 2014 10 18.19356 00 37 05.96 +00 50 07.8 22.3g 13RN30 W84 C~3xqm 2014 10 18.20580 00 37 05.76 +00 50 05.9 13RN30 W84 C~3xqm 2014 10 18.21802 00 37 05.56 +00 50 04.0 13RN30 W84 C~3xqm 2014 10 18.23026 00 37 05.37 +00 50 02.1 13RN30 W84 C~3xqm
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 -0.10 0.00 0.05
2 0.0000 -1.51 0.01 -0.25 0.06
3 0.0000 -2.18 0.15 -0.40 0.04
4 0.0000 -3.84 0.11 -0.81 -0.10
5 0.0028 -279.84 -0.11 -49.15 -0.05
6 0.0029 -282.18 0.01 -49.47 0.05
7 0.0029 -283.16 -0.15 -49.55 0.10
8 0.0029 -284.12 -0.29 -49.42 0.37
9 0.0083 -822.02 -0.11 -145.01 -0.21
10 0.0083 -822.69 0.04 -145.05 -0.12
11 0.0083 -823.59 -0.02 -145.12 -0.04
12 0.0083 -824.59 -0.18 -145.17 0.05
13 0.0083 -825.26 -0.03 -145.45 -0.10
14 0.0161 -1623.94 0.03 -287.94 -0.07
15 0.0162 -1628.30 -0.03 -288.39 0.19
16 0.0162 -1632.68 -0.10 -289.21 0.08
17 0.0164 -1652.01 -0.11 -292.89 -0.40
18 0.0164 -1652.73 0.02 -292.59 0.04
19 0.0164 -1653.71 -0.11 -292.98 -0.21
20 0.0164 -1655.20 0.11 -293.10 -0.04
21 0.0165 -1656.91 0.12 -293.54 -0.20
22 0.0185 -1868.51 0.40 -331.78 0.07
23 0.0185 -1871.96 ( 0.57) -332.59 ( -0.13)
24 0.0186 -1875.13 ( 0.65) -333.51 ( -0.50)
25 0.0240 -2439.24 0.23 -434.56 0.39
26 0.0241 -2451.12 0.00 -436.75 0.17
27 0.0267 -2723.11 -0.30 -486.43 0.03
28 0.0267 -2726.50 -0.03 -486.71 0.37
29 0.0267 -2729.85 0.35 -487.67 0.06
30 0.0892 -9299.05 -0.04 -1825.95 -0.13
31 0.0892 -9299.93 -0.09 -1826.11 -0.11
32 0.1220 -12319.73 0.06 -2617.44 -0.12
33 0.1220 -12320.36 0.10 -2617.39 0.12
34 0.1246 -12537.72 0.02 -2683.32 -0.23
35 0.1247 -12544.04 0.03 -2685.09 -0.18
36 0.9966 74826.08 0.07 -21583.88 -0.13
37 0.9966 74822.98 -0.09 -21584.53 0.14
38 0.9967 74817.36 0.16 -21586.34 0.15
39 1.1380 59511.31 -0.01 -24775.72 -0.06
40 1.1380 59507.50 -0.05 -24776.27 -0.03
41 1.1381 59503.69 -0.09 -24776.81 0.01
42 1.1381 59500.03 0.02 -24777.42 -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.
13RN30 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 14.059 14.076 14.042 ecceobj 0.425 0.425 0.425 incobj 16.636 16.636 16.636 qmin 8.077 8.083 8.068 qmax 20.727 20.064 20.017 amean 14.146 13.888 13.854 amin 13.749 13.749 13.427 amax 14.453 14.076 14.042 emean 0.418 0.410 0.402 emin 0.383 0.403 0.373 emax 0.434 0.425 0.425 imean 16.401 16.667 17.254 imin 15.812 16.286 16.195 imax 17.726 16.853 18.760 excite_mean 0.505 0.501 0.500 fracstop 0.001 0.001 0.001 cjmean 3.326 3.358 3.363 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 196.4 199.7 208.3 kozaiamp 10.6 13.5 17.3