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: 13AR183 # Created Sun Dec 22 02:09:24 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 17.31y # First observation: 2005/10/30 # Last observation: 2023/02/20 # Chi-squared of fit: 16.56 DOF: 46 RMS: 0.14 # Min/Max residuals: -0.22 0.38 # Exact a, adot, b, bdot, g, gdot: 1.680280E-05 2.555641E-02 2.499082E-06 2.464082E-03 2.375201E-02 9.358934E-03 # Covariance matrix: 4.7570E-13 -8.9774E-14 2.0200E-14 -6.6297E-15 -1.4974E-14 -1.6975E-13 -8.9774E-14 3.3135E-14 -7.1373E-15 2.8455E-15 5.2627E-14 7.1587E-14 2.0200E-14 -7.1373E-15 2.7665E-13 -2.3961E-14 -4.0349E-15 -1.7870E-14 -6.6297E-15 2.8455E-15 -2.3961E-14 2.8069E-15 4.1131E-15 6.7685E-15 -1.4974E-14 5.2627E-14 -4.0349E-15 4.1131E-15 2.6547E-13 9.8281E-14 -1.6975E-13 7.1587E-14 -1.7870E-14 6.7685E-15 9.8281E-14 1.7102E-13 # lat0 lon0 xBary yBary zBary JD0 -4.556201 126.126763 0.997183 -0.001043 -0.014581 2453673.933123 # Heliocentric elements and errors Epoch: 2453674.5000 = 2005/10/31 Mean Anomaly: 18.50664 +/- 0.005 Argument of Peri: 261.73036 +/- 0.006 Long of Asc Node: 165.10925 +/- 0.000 Inclination: 7.01391 +/- 0.000 Eccentricity: 0.50407572 +/- 0.0001 Semi-Major Axis: 71.68435003 +/- 0.0112 Time of Perihelion: 2442278.2978 +/- 3.9 Perihelion: 35.55000947 +/- 0.0070 Aphelion: 107.81869060 +/- 0.0174 Period (y) 606.9386 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -23.95140691 +/- 0.0005 Ecliptic Y 34.49620573 +/- 0.0007 Ecliptic Z -3.34432701 +/- 0.0001 Ecliptic XDOT -0.00302449 +/- 0.0000 Ecliptic YDOT -0.00085642 +/- 0.0000 Ecliptic ZDOT 0.00019745 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.12863810 +/- 0.0007 Geocenter to KBO 42.10146872 +/- 0.0009 # Hcoef: 5.87
The following table shows the complete astrometric record for 13AR183. 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 (13AR183) followed by the observatory code and reference code for the source of the astrometry.
2005 10 30.432380 08 29 21.98 +14 19 23.9 13AR183 645 C~2aHi 2005 10 30.433209 08 29 21.98 +14 19 23.9 21.7V 13AR183 645 C~2aHi 2005 10 30.435697 08 29 21.98 +14 19 23.9 23.0V 13AR183 645 C~2aHi 2013 01 10.52970 09 06 37.553 +12 46 59.49 22.7w 13AR183 F51 C~1w3t 2013 01 10.54354 09 06 37.503 +12 46 59.31 22.5w 13AR183 F51 C~1w3t 2013 01 10.55737 09 06 37.428 +12 46 59.62 22.5w 13AR183 F51 C~1w3t 2013 03 03.25761 09 02 56.008 +13 04 32.48 22.5w 13AR183 F51 C~1w3t 2013 03 03.27192 09 02 55.959 +13 04 32.64 22.5w 13AR183 F51 C~1w3t 2013 03 03.28630 09 02 55.893 +13 04 33.28 22.5w 13AR183 F51 C~1w3t 2013 03 03.30066 09 02 55.839 +13 04 33.21 22.8w 13AR183 F51 C~1w3t 2014 01 05.42978 09 12 15.832 +12 30 40.15 22.4w 13AR183 F51 C~1w3t 2014 01 05.46008 09 12 15.728 +12 30 40.83 22.6w 13AR183 F51 C~1w3t 2014 01 05.47526 09 12 15.667 +12 30 41.04 22.6w 13AR183 F51 C~1w3t 2014 02 20.33220 09 09 01.116 +12 45 51.04 22.0i 13AR183 F51 C~1w3t 2014 02 20.35799 09 09 01.009 +12 45 51.90 21.6i 13AR183 F51 C~1w3t 2014 03 20.26942 09 07 19.503 +12 55 12.35 22.5w 13AR183 F51 C~1w3t 2014 03 24.26353 09 07 08.502 +12 56 20.70 22.3w 13AR183 F51 C~1w3t 2017 12 20.38790 09 33 07.478 +11 27 00.08 22.8R 13AR183 G37 C~2Uwr 2017 12 20.48119 09 33 07.267 +11 27 01.15 13AR183 G37 C~2Uwr 2017 12 20.52357 09 33 07.183 +11 27 01.43 13AR183 G37 C~2Uwr 2021 03 20.151120 09 41 43.547 +11 10 22.92 23.3G 13AR183 G37 C~4hyV 2021 03 20.190600 09 41 43.428 +11 10 23.69 13AR183 G37 C~4hyV 2021 03 20.229600 09 41 43.308 +11 10 24.71 13AR183 G37 C~4hyV 2023 02 20.254020 09 52 27.450 +10 29 59.44 22.8G 13AR183 G37 C~6Emk 2023 02 20.304670 09 52 27.243 +10 30 00.57 13AR183 G37 C~6Emk 2023 02 20.357190 09 52 27.051 +10 30 01.65 13AR183 G37 C~6Emk
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 -0.00 0.00 -0.18 2 0.0000 0.00 -0.01 0.00 -0.18 3 0.0000 0.00 -0.03 0.00 -0.16 4 7.1981 0.00 0.01 0.00 0.38 5 7.1981 0.00 0.11 0.00 -0.03 6 7.1982 0.00 -0.16 0.00 0.04 7 7.3397 0.00 -0.08 0.00 0.01 8 7.3397 0.00 0.02 0.00 -0.13 9 7.3398 0.00 -0.14 0.00 0.22 10 7.3398 0.00 -0.12 0.00 -0.15 11 8.1834 0.00 -0.11 0.00 -0.01 12 8.1835 0.00 0.03 0.00 0.20 13 8.1836 0.00 -0.03 0.00 0.18 14 8.3091 0.00 0.13 0.00 -0.08 15 8.3092 0.00 0.18 0.00 0.22 16 8.3856 0.00 0.16 0.00 0.26 17 8.3965 0.00 0.02 0.00 0.01 18 12.1395 0.00 -0.14 0.00 -0.16 19 12.1398 0.00 -0.00 0.00 0.03 20 12.1399 0.00 0.24 0.00 -0.09 21 15.3860 0.00 -0.11 0.00 -0.08 22 15.3861 0.00 0.02 0.00 -0.09 23 15.3862 0.00 0.11 0.00 0.17 24 17.3082 0.00 -0.16 0.00 -0.08 25 17.3083 0.00 -0.16 0.00 -0.10 26 17.3085 0.00 0.18 0.00 -0.22
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.
13AR183 quality flag:3 Type: 11:3EEEEEE11:3EEEEEE11:3EEEEEE axisobj 72.206 72.207 72.205 ecceobj 0.509 0.509 0.509 incobj 7.032 7.032 7.032 qmin 34.704 34.704 34.704 qmax 110.552 110.540 110.563 amean 71.594 71.594 71.594 amin 70.634 70.634 70.635 amax 72.961 72.961 72.966 emean 0.504 0.504 0.504 emin 0.495 0.495 0.495 emax 0.515 0.515 0.515 imean 6.083 6.083 6.083 imin 5.625 5.625 5.625 imax 6.503 6.503 6.503 excite_mean 0.515 0.515 0.515 fracstop 1.000 1.000 1.000 cjmean 3.068 3.068 3.068 libcent 0 180.4 180.5 180.2 libamp 0 28.6 28.9 28.1 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 292.4 292.3 292.5 kozaiamp 180.0 180.0 180.0