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: 13RG109 # Created Fri Nov 22 02:09:29 2024 # Orbit generated from Bernstein formalism # Fitting 46 observations of 47 # Arc: 3.21y # First observation: 2013/09/02 # Last observation: 2016/11/18 Preliminary a, adot, b, bdot, g, gdot: 0.000055 0.027195 -0.000040 0.011194 0.027911 0.000000 # Chi-squared of fit: 11.74 DOF: 86 RMS: 0.09 # Min/Max residuals: -0.36 0.32 # Exact a, adot, b, bdot, g, gdot: 1.509469E-05 2.700022E-02 6.730321E-06 1.109070E-02 2.776421E-02 -2.044448E-03 # Covariance matrix: 1.9163E-13 7.4511E-15 -7.7181E-15 2.2944E-14 1.5133E-13 6.2290E-13 7.4511E-15 1.8925E-13 -3.0060E-14 9.0948E-14 1.4684E-13 2.4724E-12 -7.7181E-15 -3.0060E-14 9.2619E-14 -4.9103E-14 -2.6693E-14 -4.3814E-13 2.2944E-14 9.0948E-14 -4.9103E-14 6.8302E-14 8.0260E-14 1.3255E-12 1.5133E-13 1.4684E-13 -2.6693E-14 8.0260E-14 2.6998E-13 2.1808E-12 6.2290E-13 2.4724E-12 -4.3814E-13 1.3255E-12 2.1808E-12 3.6032E-11 # lat0 lon0 xBary yBary zBary JD0 -4.604691 12.712157 0.549785 -0.067929 -0.844576 2456537.864468 # Heliocentric elements and errors Epoch: 2456530.5000 = 2013/08/26 Mean Anomaly: 298.76086 +/- 0.030 Argument of Peri: 59.32489 +/- 0.048 Long of Asc Node: 22.69175 +/- 0.000 Inclination: 22.71430 +/- 0.000 Eccentricity: 0.09292557 +/- 0.0002 Semi-Major Axis: 38.31028916 +/- 0.0030 Time of Perihelion: 2471263.7360 +/- 7.1 Perihelion: 34.75028378 +/- 0.0082 Aphelion: 41.87029455 +/- 0.0084 Period (y) 237.1272 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.96848588 +/- 0.0007 Ecliptic Y 7.55335963 +/- 0.0001 Ecliptic Z -2.89128584 +/- 0.0001 Ecliptic XDOT -0.00070246 +/- 0.0000 Ecliptic YDOT 0.00257125 +/- 0.0000 Ecliptic ZDOT 0.00110646 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.86658042 +/- 0.0006 Geocenter to KBO 36.01758626 +/- 0.0007 # Hcoef: 7.11
The following table shows the complete astrometric record for 13RG109. 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 (13RG109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.36369 00 53 56.509 +00 46 43.98 23.5g 13RG109 W84 C~4yQo 2013 09 02.36369 00 53 56.51 +00 46 44.0 24.0g 13RG109 W84 C~3cl8 2013 09 09.241493 00 53 26.22 +00 43 52.0 23.2g 13RG109 W84 C~35bW 2013 09 09.24202 00 53 26.242 +00 43 51.92 23.0g 13RG109 W84 C~4yQo 2013 10 03.10371 00 51 26.399 +00 33 09.51 22.6g 13RG109 W84 C~4yQo 2013 10 03.10371 00 51 26.40 +00 33 09.5 22.7g 13RG109 W84 C~3cl8 2013 10 13.18075 00 50 33.029 +00 28 45.90 22.2i 13RG109 W84 C~4yQo 2013 10 13.18075 00 50 33.03 +00 28 45.9 22.3i 13RG109 W84 C~3cl8 2013 10 29.05049 00 49 12.206 +00 22 40.18 23.2g 13RG109 W84 C~4yQo 2013 10 29.05049 00 49 12.20 +00 22 40.2 23.5g 13RG109 W84 C~3cl8 2013 11 23.12320 00 47 28.471 +00 16 38.42 23.4g 13RG109 W84 C~4yQo 2013 11 23.12320 00 47 28.47 +00 16 38.4 23.5g 13RG109 W84 C~3cl8 2013 11 23.12601 00 47 28.465 +00 16 38.45 22.7r 13RG109 W84 C~4yQo 2013 11 23.12601 00 47 28.46 +00 16 38.4 22.8r 13RG109 W84 C~3cl8 2013 11 23.12737 00 47 28.459 +00 16 38.39 22.5i 13RG109 W84 C~4yQo 2013 11 23.12737 00 47 28.46 +00 16 38.4 22.5i 13RG109 W84 C~3cl8 2014 08 18.32680 00 59 35.377 +02 03 14.76 22.9z 13RG109 W84 C~4yQo 2014 10 27.22247 00 54 05.870 +01 34 48.85 23.1r 13RG109 W84 C~4yQo 2014 10 27.22247 00 54 05.87 +01 34 48.9 23.2r 13RG109 W84 C~3cl8 2014 10 29.21190 00 53 56.017 +01 34 05.85 22.3i 13RG109 W84 C~4yQo 2014 10 29.21190 00 53 56.02 +01 34 05.9 22.6i 13RG109 W84 C~3cl8 2014 11 13.13537 00 52 48.090 +01 29 34.79 22.6r 13RG109 W84 C~4yQo 2014 11 13.13537 00 52 48.09 +01 29 34.8 22.6r 13RG109 W84 C~3cl8 2014 11 17.06543 00 52 32.391 +01 28 40.74 23.0z 13RG109 W84 C~4yQo 2015 11 07.10209 00 57 59.384 +02 42 51.18 22.7r 13RG109 W84 C~4yQo 2015 11 07.10209 00 57 59.38 +02 42 51.2 22.9r 13RG109 W84 C~3cl8 2015 11 07.10346 00 57 59.383 +02 42 51.09 22.6i 13RG109 W84 C~4yQo 2015 11 07.10346 00 57 59.38 +02 42 51.1 22.5i 13RG109 W84 C~3cl8 2015 11 07.10484 00 57 59.372 +02 42 51.07 23.3g 13RG109 W84 C~4yQo 2015 11 07.10484 00 57 59.37 +02 42 51.1 23.4g 13RG109 W84 C~3cl8 2016 09 01.36467 01 08 14.867 +04 21 25.47 22.0i 13RG109 W84 C~4yQo 2016 09 01.36467 01 08 14.87 +04 21 25.5 22.0i 13RG109 W84 C~3cl8 2016 09 01.36604 01 08 14.859 +04 21 25.46 22.6r 13RG109 W84 C~4yQo 2016 09 01.36604 01 08 14.86 +04 21 25.5 22.6r 13RG109 W84 C~3cl8 2016 09 01.36741 01 08 14.855 +04 21 25.39 23.3g 13RG109 W84 C~4yQo 2016 09 01.36741 01 08 14.85 +04 21 25.4 23.3g 13RG109 W84 C~3cl8 2016 09 08.28932 01 07 45.872 +04 18 55.94 22.3z 13RG109 W84 C~4yQo 2016 11 05.16171 01 02 50.908 +03 55 06.66 22.7r 13RG109 W84 C~4yQo 2016 11 05.16171 01 02 50.91 +03 55 06.7 22.8r 13RG109 W84 C~3cl8 2016 11 05.16308 01 02 50.899 +03 55 06.64 22.4i 13RG109 W84 C~4yQo 2016 11 05.16308 01 02 50.90 +03 55 06.6 22.5i 13RG109 W84 C~3cl8 2016 11 05.16446 01 02 50.887 +03 55 06.63 23.1g 13RG109 W84 C~4yQo 2016 11 05.16446 01 02 50.89 +03 55 06.6 23.4g 13RG109 W84 C~3cl8 2016 11 07.190243 01 02 41.38 +03 54 26.5 22.1z 13RG109 W84 C~35bW 2016 11 07.19077 01 02 41.396 +03 54 26.36 22.5z 13RG109 W84 C~4yQo 2016 11 18.094514 01 01 54.33 +03 51 20.1 22.2z 13RG109 W84 C~35bW 2016 11 18.09504 01 01 54.327 +03 51 20.05 22.6z 13RG109 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 0.06 0.00 -0.09
2 0.0000 0.02 0.08 0.01 -0.07
3 0.0188 -485.43 ( -0.07) 17.80 ( 0.53)
4 0.0188 -485.16 0.24 17.60 0.32
5 0.0842 -2391.21 -0.35 123.23 -0.07
6 0.0842 -2391.22 -0.36 123.25 -0.06
7 0.1118 -3231.45 0.02 191.08 0.03
8 0.1118 -3231.43 0.03 191.07 0.02
9 0.1552 -4491.10 0.02 324.74 0.04
10 0.1552 -4491.17 -0.06 324.80 0.10
11 0.2238 -6066.55 -0.00 595.65 -0.03
12 0.2238 -6066.53 0.02 595.67 -0.01
13 0.2239 -6066.69 -0.00 595.71 -0.00
14 0.2239 -6066.60 0.09 595.73 0.01
15 0.2239 -6066.71 0.05 595.71 -0.02
16 0.2239 -6066.69 0.07 595.71 -0.02
17 0.9581 6466.45 0.15 2261.63 -0.08
18 1.1495 1248.98 -0.00 2604.54 0.06
19 1.1495 1248.96 -0.02 2604.49 0.01
20 1.1550 1096.15 0.05 2622.22 0.00
21 1.1550 1096.09 -0.01 2622.19 -0.02
22 1.1958 52.10 0.01 2767.70 0.02
23 1.1958 52.09 0.00 2767.69 0.01
24 1.2066 -185.86 0.07 2809.26 -0.07
25 2.1786 6061.40 -0.07 5011.96 0.02
26 2.1786 6061.45 -0.03 5011.92 -0.02
27 2.1786 6061.36 -0.01 5011.87 -0.09
28 2.1786 6061.40 0.02 5011.84 -0.11
29 2.1786 6061.23 -0.05 5011.93 -0.04
30 2.1786 6061.24 -0.04 5011.89 -0.08
31 2.9979 16887.79 0.02 6917.45 -0.02
32 2.9979 16887.85 0.07 6917.46 -0.01
33 2.9980 16887.71 0.02 6917.52 0.04
34 2.9980 16887.68 -0.01 6917.49 0.01
35 2.9980 16887.53 -0.07 6917.48 -0.00
36 2.9980 16887.59 -0.01 6917.45 -0.04
37 3.0169 16426.79 -0.13 6946.19 0.14
38 3.1754 11780.04 0.08 7327.55 -0.02
39 3.1754 11780.00 0.03 7327.52 -0.04
40 3.1754 11779.86 0.00 7327.51 -0.06
41 3.1754 11779.87 0.00 7327.56 -0.02
42 3.1754 11779.72 -0.03 7327.57 -0.02
43 3.1754 11779.70 -0.06 7327.62 0.03
44 3.1809 11632.42 -0.09 7345.51 0.11
45 3.1809 11632.59 0.12 7345.29 -0.12
46 3.2108 10908.47 0.06 7445.47 0.16
47 3.2108 10908.41 0.03 7445.44 0.12
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.
13RG109 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.479 38.486 38.471 ecceobj 0.093 0.093 0.092 incobj 22.664 22.664 22.664 qmin 33.813 33.870 33.149 qmax 42.899 42.947 43.514 amean 38.259 38.264 38.202 amin 37.955 37.951 37.837 amax 38.584 38.596 38.586 emean 0.085 0.087 0.097 emin 0.064 0.066 0.068 emax 0.113 0.114 0.130 imean 21.567 21.579 21.441 imin 20.142 20.185 19.768 imax 22.751 22.738 22.765 excite_mean 0.377 0.378 0.378 fracstop 1.000 1.000 1.000 cjmean 2.875 2.875 2.874 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 180.7 181.7 182.1 kozaiamp 179.9 179.8 180.0