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: 13SP102 # Created Sun Dec 22 02:09:39 2024 # Orbit generated from Bernstein formalism # Fitting 48 observations of 48 # Arc: 4.95y # First observation: 2013/09/29 # Last observation: 2018/09/11 Preliminary a, adot, b, bdot, g, gdot: -0.000046 0.019397 0.000002 -0.001976 0.022452 0.000000 # Chi-squared of fit: 16.05 DOF: 90 RMS: 0.10 # Min/Max residuals: -0.26 0.28 # Exact a, adot, b, bdot, g, gdot: 1.249492E-05 1.948084E-02 -1.127604E-06 -1.982506E-03 2.265189E-02 1.112167E-03 # Covariance matrix: 2.9191E-13 -1.8122E-13 -1.0515E-14 1.3108E-14 -8.3588E-14 -1.3523E-12 -1.8122E-13 2.2223E-13 1.6496E-14 -2.1658E-14 2.0632E-13 2.2055E-12 -1.0515E-14 1.6496E-14 1.9617E-13 -5.4682E-14 1.6050E-14 1.7703E-13 1.3108E-14 -2.1658E-14 -5.4682E-14 1.9389E-14 -2.2953E-14 -2.3354E-13 -8.3588E-14 2.0632E-13 1.6050E-14 -2.2953E-14 3.2985E-13 2.2902E-12 -1.3523E-12 2.2055E-12 1.7703E-13 -2.3354E-13 2.2902E-12 2.3755E-11 # lat0 lon0 xBary yBary zBary JD0 -10.217936 26.402066 0.349011 -0.166483 -0.924252 2456564.837558 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 159.67423 +/- 0.077 Argument of Peri: 74.94398 +/- 0.076 Long of Asc Node: 146.76936 +/- 0.002 Inclination: 11.60883 +/- 0.000 Eccentricity: 0.15019935 +/- 0.0001 Semi-Major Axis: 39.43069189 +/- 0.0020 Time of Perihelion: 2416447.7578 +/- 19.0 Perihelion: 33.50822748 +/- 0.0034 Aphelion: 45.35315631 +/- 0.0038 Period (y) 247.6052 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.91034282 +/- 0.0010 Ecliptic Y 19.42707363 +/- 0.0005 Ecliptic Z -7.83134255 +/- 0.0002 Ecliptic XDOT -0.00097275 +/- 0.0000 Ecliptic YDOT 0.00214759 +/- 0.0000 Ecliptic ZDOT -0.00025952 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.07301387 +/- 0.0009 Geocenter to KBO 44.14643000 +/- 0.0011 # Hcoef: 5.99
The following table shows the complete astrometric record for 13SP102. 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 (13SP102) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.33678 01 52 40.922 +00 38 54.67 23.2g 13SP102 W84 C~4yR1 2013 10 03.25255 01 52 25.392 +00 37 03.24 23.0g 13SP102 W84 C~4yR1 2013 10 04.20320 01 52 21.558 +00 36 36.50 23.0g 13SP102 W84 C~4yR1 2014 10 03.32907 01 56 46.036 +00 54 35.27 22.3r 13SP102 W84 C~4yR1 2014 10 03.33043 01 56 46.025 +00 54 35.20 22.9g 13SP102 W84 C~4yR1 2014 10 21.28323 01 55 30.614 +00 46 30.12 22.2r 13SP102 W84 C~4yR1 2014 10 21.28460 01 55 30.609 +00 46 29.94 22.4i 13SP102 W84 C~4yR1 2014 10 23.27793 01 55 21.964 +00 45 39.79 22.0i 13SP102 W84 C~4yR1 2014 11 27.12886 01 53 00.83 +00 34 46.0 22.2z 13SP102 W84 C~3clF 2015 09 04.32065 02 02 41.064 +01 25 22.12 22.0z 13SP102 W84 C~4yR1 2015 12 29.13369 01 55 59.087 +00 50 28.44 22.9i 13SP102 W84 C~4yR1 2015 12 29.13643 01 55 59.082 +00 50 28.52 22.4z 13SP102 W84 C~4yR1 2016 08 26.34885 02 07 14.989 +01 45 52.66 22.5r 13SP102 W84 C~4yR1 2016 09 09.40021 02 06 43.116 +01 40 00.63 22.8i 13SP102 W84 C~4yR1 2016 09 10.29943 02 06 40.629 +01 39 36.76 23.3g 13SP102 W84 C~4yR1 2016 09 10.38751 02 06 40.363 +01 39 34.29 22.5z 13SP102 W84 C~4yR1 2016 10 22.233738 02 04 02.60 +01 20 36.6 22.2z 13SP102 W84 C~35bY 2016 10 22.23427 02 04 02.626 +01 20 36.36 22.0z 13SP102 W84 C~4yR1 2016 11 18.11643 02 02 08.842 +01 11 17.77 22.4r 13SP102 W84 C~4yR1 2016 11 18.11780 02 02 08.837 +01 11 17.83 22.4i 13SP102 W84 C~4yR1 2016 11 25.10776 02 01 42.303 +01 09 39.47 23.0g 13SP102 W84 C~4yR1 2016 11 28.10726 02 01 31.599 +01 09 04.46 22.3r 13SP102 W84 C~4yR1 2016 11 28.10864 02 01 31.594 +01 09 04.45 22.3i 13SP102 W84 C~4yR1 2016 11 28.11001 02 01 31.591 +01 09 04.44 22.9g 13SP102 W84 C~4yR1 2016 11 30.14518 02 01 24.587 +01 08 43.16 22.1z 13SP102 W84 C~4yR1 2017 08 27.408981 02 11 29.33 +02 02 36.5 22.3i 13SP102 W84 C~35bY 2017 08 27.40951 02 11 29.326 +02 02 36.42 22.2i 13SP102 W84 C~4yR1 2017 08 27.410370 02 11 29.33 +02 02 36.6 22.3i 13SP102 W84 C~35bY 2017 08 27.41090 02 11 29.332 +02 02 36.58 22.3i 13SP102 W84 C~4yR1 2017 08 27.41993 02 11 29.316 +02 02 36.39 22.3z 13SP102 W84 C~4yR1 2017 09 13.55966 02 10 48.96 +01 55 24.4 22.3y 13SP102 T09 C~7zmQ 2017 09 13.56303 02 10 48.95 +01 55 24.6 22.4y 13SP102 T09 C~7zmQ 2017 09 13.60950 02 10 48.80 +01 55 23.2 22.3y 13SP102 T09 C~7zmQ 2017 09 13.63103 02 10 48.75 +01 55 22.7 22.3y 13SP102 T09 C~7zmQ 2017 10 03.282685 02 09 40.91 +01 46 22.1 22.3z 13SP102 W84 C~35bY 2017 10 03.28321 02 09 40.913 +01 46 22.19 22.2z 13SP102 W84 C~4yR1 2017 10 21.223634 02 08 26.40 +01 38 23.8 23.1g 13SP102 W84 C~35bY 2017 10 21.22416 02 08 26.407 +01 38 23.69 23.1g 13SP102 W84 C~4yR1 2017 10 29.243646 02 07 51.49 +01 35 09.4 22.2i 13SP102 W84 C~35bY 2017 10 29.24417 02 07 51.491 +01 35 09.34 22.2i 13SP102 W84 C~4yR1 2017 11 16.153762 02 06 35.45 +01 29 08.1 22.6r 13SP102 W84 C~35bY 2017 11 16.15429 02 06 35.447 +01 29 08.05 22.5r 13SP102 W84 C~4yR1 2017 11 22.183762 02 06 11.63 +01 27 35.0 23.2g 13SP102 W84 C~35bY 2017 11 22.18429 02 06 11.634 +01 27 34.97 22.9g 13SP102 W84 C~4yR1 2018 09 09.35165 02 15 17.795 +02 14 26.71 22.5r 13SP102 W84 C~4yR1 2018 09 09.35304 02 15 17.791 +02 14 26.62 22.4i 13SP102 W84 C~4yR1 2018 09 11.32738 02 15 12.588 +02 13 35.38 22.1i 13SP102 W84 C~4yR1 2018 09 11.33014 02 15 12.582 +02 13 35.20 23.1g 13SP102 W84 C~4yR1
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 0.23 0.00 -0.05
2 0.0107 -257.35 -0.15 -21.12 -0.09
3 0.0133 -320.61 -0.06 -25.61 0.01
4 1.0102 3770.70 0.12 -430.68 -0.00
5 1.0102 3770.52 0.04 -430.68 -0.00
6 1.0594 2540.59 0.03 -481.15 0.10
7 1.0594 2540.45 -0.01 -481.29 -0.04
8 1.0649 2401.41 -0.01 -481.97 -0.05
9 1.1603 190.40 -0.17 -338.74 0.17
10 1.9301 9409.81 0.01 -599.67 0.03
11 2.2472 3024.60 -0.11 -410.56 -0.05
12 2.2472 3024.56 -0.10 -410.45 0.02
13 2.9076 13699.94 -0.03 -909.79 -0.01
14 2.9461 13125.79 0.10 -1069.43 0.01
15 2.9486 13082.28 0.08 -1078.51 0.02
16 2.9488 13077.66 -0.14 -1079.40 -0.02
17 3.0634 10453.60 -0.16 -1302.19 0.16
18 3.0634 10453.88 0.16 -1302.55 -0.20
19 3.1370 8656.53 0.03 -1217.51 0.02
20 3.1370 8656.48 0.07 -1217.43 0.09
21 3.1561 8248.89 -0.14 -1167.71 0.03
22 3.1643 8086.15 0.07 -1143.29 -0.02
23 3.1643 8086.08 0.07 -1143.27 -0.02
24 3.1643 8086.03 0.10 -1143.27 -0.02
25 3.1699 7980.13 0.28 -1125.76 -0.14
26 3.9098 17643.94 -0.02 -1326.09 -0.07
27 3.9099 17643.86 -0.09 -1326.15 -0.12
28 3.9099 17643.98 0.06 -1326.00 0.04
29 3.9099 17644.00 0.10 -1326.03 0.02
30 3.9099 17643.70 0.11 -1326.12 0.04
31 3.9568 16919.85 -0.12 -1516.00 -0.05
32 3.9568 16919.78 -0.02 -1515.76 0.22
33 3.9569 16917.16 -0.23 -1516.27 0.13
34 3.9570 16916.28 0.00 -1516.47 0.12
35 4.0108 15766.42 -0.26 -1661.22 -0.23
36 4.0108 15766.49 -0.16 -1661.15 -0.16
37 4.0599 14545.65 -0.01 -1711.63 0.00
38 4.0599 14545.71 0.09 -1711.78 -0.14
39 4.0819 13984.60 0.00 -1707.34 0.12
40 4.0819 13984.59 0.03 -1707.40 0.06
41 4.1309 12785.33 0.04 -1639.65 0.04
42 4.1309 12785.27 0.02 -1639.68 0.00
43 4.1474 12416.99 -0.07 -1599.62 0.10
44 4.1474 12417.03 0.00 -1599.67 0.04
45 4.9446 21128.93 0.07 -1878.83 0.07
46 4.9446 21128.84 0.05 -1878.89 0.03
47 4.9500 21036.82 0.05 -1899.27 -0.05
48 4.9500 21036.67 0.04 -1899.41 -0.16
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.
13SP102 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.612 39.618 39.605 ecceobj 0.146 0.146 0.146 incobj 11.587 11.587 11.587 qmin 32.248 32.248 32.238 qmax 47.270 47.110 47.256 amean 39.457 39.457 39.457 amin 39.015 39.029 39.023 amax 39.936 39.922 39.934 emean 0.164 0.163 0.164 emin 0.142 0.144 0.144 emax 0.184 0.181 0.184 imean 10.319 10.318 10.324 imin 9.820 9.789 9.829 imax 10.955 10.936 10.975 excite_mean 0.243 0.242 0.243 fracstop 1.000 1.000 1.000 cjmean 2.985 2.986 2.985 libcent 0 179.9 179.5 179.1 libamp 0 83.1 81.9 84.3 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 181.2 180.6 181.3 kozaiamp 180.0 180.0 180.0