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: 13YD169 # Created Fri Nov 22 02:09:51 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 3.77y # First observation: 2013/12/20 # Last observation: 2017/09/26 Preliminary a, adot, b, bdot, g, gdot: -0.000027 0.023083 0.000054 0.011379 0.026359 0.000000 # Chi-squared of fit: 13.97 DOF: 44 RMS: 0.13 # Min/Max residuals: -0.29 0.31 # Exact a, adot, b, bdot, g, gdot: 1.404292E-05 2.343435E-02 7.767007E-06 1.149050E-02 2.550740E-02 3.713105E-03 # Covariance matrix: 4.3625E-13 -2.9116E-13 3.4425E-14 -8.5385E-14 -1.8343E-13 -2.0598E-12 -2.9116E-13 3.3410E-13 -5.2053E-14 1.2454E-13 1.9269E-13 2.9979E-12 3.4425E-14 -5.2053E-14 2.9720E-13 -1.1795E-13 -3.3658E-14 -5.3042E-13 -8.5385E-14 1.2454E-13 -1.1795E-13 9.3380E-14 8.9544E-14 1.2801E-12 -1.8343E-13 1.9269E-13 -3.3658E-14 8.9544E-14 2.9174E-13 2.1688E-12 -2.0598E-12 2.9979E-12 -5.3042E-13 1.2801E-12 2.1688E-12 3.0831E-11 # lat0 lon0 xBary yBary zBary JD0 -12.277320 26.272811 -0.865542 -0.098291 -0.452374 2456646.628978 # Heliocentric elements and errors Epoch: 2456640.5000 = 2013/12/14 Mean Anomaly: 56.26893 +/- 0.013 Argument of Peri: 259.33900 +/- 0.027 Long of Asc Node: 50.47884 +/- 0.000 Inclination: 28.89453 +/- 0.000 Eccentricity: 0.17462161 +/- 0.0002 Semi-Major Axis: 42.77767350 +/- 0.0037 Time of Perihelion: 2440667.3583 +/- 2.9 Perihelion: 35.30776740 +/- 0.0095 Aphelion: 50.24757961 +/- 0.0100 Period (y) 279.7911 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.38126601 +/- 0.0007 Ecliptic Y 17.94061111 +/- 0.0004 Ecliptic Z -8.33631001 +/- 0.0002 Ecliptic XDOT -0.00053513 +/- 0.0000 Ecliptic YDOT 0.00254178 +/- 0.0000 Ecliptic ZDOT 0.00112053 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.66649775 +/- 0.0006 Geocenter to KBO 39.20431400 +/- 0.0008 # Hcoef: 7.85
The following table shows the complete astrometric record for 13YD169. 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 (13YD169) followed by the observatory code and reference code for the source of the astrometry.
2013 12 20.12820 01 55 08.713 -01 19 14.66 23.2i 13YD169 W84 C~52SB 2013 12 28.10992 01 54 52.226 -01 17 21.55 23.9r 13YD169 W84 C~52SB 2013 12 28.11131 01 54 52.227 -01 17 21.63 24.4i 13YD169 W84 C~52SB 2014 10 01.34424 02 05 05.658 +00 01 16.64 23.2g 13YD169 W84 C~52SB 2014 10 01.34562 02 05 05.658 +00 01 16.37 23.4r 13YD169 W84 C~52SB 2014 10 29.27540 02 02 48.323 -00 09 11.37 23.6r 13YD169 W84 C~52SB 2015 12 17.12233 02 03 23.119 +00 50 30.21 23.1i 13YD169 W84 C~52SB 2016 01 10.05637 02 02 39.278 +00 55 56.31 23.7r 13YD169 W84 C~52SB 2016 09 09.40159 02 14 30.679 +02 19 55.86 23.6i 13YD169 W84 C~52SB 2016 09 10.37651 02 14 27.637 +02 19 34.42 23.4r 13YD169 W84 C~52SB 2016 09 10.37787 02 14 27.620 +02 19 34.43 24.3g 13YD169 W84 C~52SB 2016 10 28.23296 02 10 56.045 +02 01 40.26 22.9r 13YD169 W84 C~52SB 2016 10 28.23436 02 10 56.027 +02 01 40.11 23.2i 13YD169 W84 C~52SB 2016 11 03.18588 02 10 25.893 +01 59 52.91 24.1g 13YD169 W84 C~52SB 2016 11 27.12737 02 08 32.691 +01 55 07.15 23.2r 13YD169 W84 C~52SB 2017 01 23.24319 02 06 34.48 +02 04 58.8 24.6r 13YD169 T09 C~86nZ 2017 01 23.26043 02 06 34.49 +02 04 59.1 24.7r 13YD169 T09 C~86nZ 2017 01 23.29492 02 06 34.51 +02 05 00.1 24.8r 13YD169 T09 C~86nZ 2017 01 26.23062 02 06 36.54 +02 06 20.1 25.0g 13YD169 T09 C~86nZ 2017 01 26.26759 02 06 36.57 +02 06 21.1 25.1g 13YD169 T09 C~86nZ 2017 01 26.29815 02 06 36.60 +02 06 21.9 25.6g 13YD169 T09 C~86nZ 2017 09 18.31069 02 17 58.998 +03 20 46.20 23.9r 13YD169 W84 C~52SB 2017 09 25.30996 02 17 32.033 +03 18 09.86 24.3r 13YD169 W84 C~52SB 2017 09 25.34372 02 17 31.887 +03 18 09.07 23.6i 13YD169 W84 C~52SB 2017 09 26.29411 02 17 28.006 +03 17 47.35 24.0g 13YD169 W84 C~52SB
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 -0.13 2 0.0219 -190.62 -0.00 193.87 -0.06 3 0.0219 -190.63 0.01 193.79 -0.17 4 0.7809 10096.49 -0.12 1316.68 0.29 5 0.7809 10096.40 -0.11 1316.43 0.03 6 0.8574 7943.90 -0.07 1465.81 0.03 7 1.9904 9714.71 0.05 4629.17 -0.11 8 2.0559 9215.97 0.31 5169.07 0.16 9 2.7222 21050.00 -0.06 6089.03 0.07 10 2.7248 20999.21 0.12 6085.13 -0.18 11 2.7248 20998.97 -0.05 6085.23 -0.08 12 2.8559 17622.33 0.20 6207.28 -0.08 13 2.8559 17622.03 -0.00 6207.23 -0.14 14 2.8722 17158.35 0.10 6267.75 0.16 15 2.9377 15459.96 -0.21 6604.98 0.03 16 3.0941 14008.43 -0.13 7792.14 0.25 17 3.0941 14008.68 -0.16 7792.37 0.09 18 3.0942 14009.32 -0.07 7793.20 0.15 19 3.1023 14066.65 -0.02 7857.41 0.12 20 3.1024 14067.44 -0.01 7858.19 0.08 21 3.1025 14068.14 0.06 7858.78 -0.01 22 3.7459 25325.66 -0.22 8416.65 0.00 23 3.7650 24885.89 0.15 8412.82 -0.10 24 3.7651 24883.53 0.05 8412.85 -0.09 25 3.7677 24820.53 0.07 8413.04 -0.29
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.
13YD169 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.069 43.087 43.051 ecceobj 0.180 0.180 0.179 incobj 28.864 28.863 28.864 qmin 34.787 34.767 34.733 qmax 51.097 51.176 51.120 amean 42.760 42.796 42.761 amin 42.402 42.440 42.405 amax 43.158 43.189 43.177 emean 0.167 0.167 0.165 emin 0.148 0.150 0.147 emax 0.184 0.185 0.185 imean 28.045 28.068 28.084 imin 27.644 27.666 27.609 imax 28.485 28.529 28.548 excite_mean 0.499 0.499 0.499 fracstop 1.000 1.000 1.000 cjmean 2.778 2.777 2.777 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 177.8 180.8 180.3 kozaiamp 179.9 180.0 179.9