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: 15GA54 # Created Sun Dec 22 02:10:19 2024 # Orbit generated from Bernstein formalism # Fitting 34 observations of 34 # Arc: 1.38y # First observation: 2015/02/20 # Last observation: 2016/07/07 Preliminary a, adot, b, bdot, g, gdot: -0.000580 0.051792 0.000037 0.010084 0.042937 0.000000 # Chi-squared of fit: 8.87 DOF: 62 RMS: 0.09 # Min/Max residuals: -0.34 0.20 # Exact a, adot, b, bdot, g, gdot: 1.869477E-05 5.192454E-02 4.016805E-06 1.022919E-02 4.374450E-02 1.572750E-02 # Covariance matrix: 5.5415E-13 4.4860E-13 -4.7327E-14 2.6312E-13 7.0798E-13 1.9454E-11 4.4860E-13 1.4147E-12 -9.0368E-14 5.0859E-13 1.1858E-12 3.7617E-11 -4.7327E-14 -9.0368E-14 1.6952E-13 -1.9715E-13 -9.1273E-14 -2.8356E-12 2.6312E-13 5.0859E-13 -1.9715E-13 4.2756E-13 5.0951E-13 1.5941E-11 7.0798E-13 1.1858E-12 -9.1273E-14 5.0951E-13 1.3097E-12 3.7675E-11 1.9454E-11 3.7617E-11 -2.8356E-12 1.5941E-11 3.7675E-11 1.1790E-09 # lat0 lon0 xBary yBary zBary JD0 2.502607 -154.777322 0.795863 0.025538 -0.581276 2457074.131608 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 86.78000 +/- 0.091 Argument of Peri: 256.78624 +/- 0.056 Long of Asc Node: 191.06329 +/- 0.001 Inclination: 11.38729 +/- 0.000 Eccentricity: 0.25849562 +/- 0.0005 Semi-Major Axis: 22.32313848 +/- 0.0060 Time of Perihelion: 2447784.0774 +/- 9.0 Perihelion: 16.55270504 +/- 0.0120 Aphelion: 28.09357191 +/- 0.0135 Period (y) 105.4729 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -21.52914222 +/- 0.0005 Ecliptic Y -9.25997942 +/- 0.0002 Ecliptic Z 0.99828097 +/- 0.0000 Ecliptic XDOT 0.00051689 +/- 0.0000 Ecliptic YDOT -0.00335272 +/- 0.0000 Ecliptic ZDOT 0.00068268 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 23.45736022 +/- 0.0005 Geocenter to KBO 22.86001777 +/- 0.0006 # Hcoef: 10.61
The following table shows the complete astrometric record for 15GA54. 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 (15GA54) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.63083 13 37 10.610 -07 25 41.66 24.5r 15GA54 568 C~2ji7 2015 03 18.57516 13 34 54.727 -07 07 43.31 24.3r 15GA54 568 C~2ji7 2015 03 18.62254 13 34 54.403 -07 07 41.07 24.2r 15GA54 568 C~2ji7 2015 04 11.50547 13 31 58.910 -06 47 14.69 24.1r 15GA54 568 C~2ji7 2015 04 13.36971 13 31 44.404 -06 45 36.83 23.8r 15GA54 568 C~2ji7 2015 04 13.41068 13 31 44.063 -06 45 34.76 23.7r 15GA54 568 C~2ji7 2015 04 13.51324 13 31 43.267 -06 45 29.48 24.3r 15GA54 568 C~2ji7 2015 04 19.41044 13 30 57.350 -06 40 23.27 24.1r 15GA54 568 C~2ji7 2015 06 20.28316 13 25 13.120 -06 04 19.66 24.2r 15GA54 568 C~2ji7 2015 06 20.32394 13 25 13.038 -06 04 19.32 24.3r 15GA54 568 C~2ji7 2015 06 22.32783 13 25 09.405 -06 03 59.23 24.6r 15GA54 568 C~2ji7 2015 07 14.28011 13 25 09.481 -06 04 25.39 24.4r 15GA54 568 C~2ji7 2015 07 20.27306 13 25 22.388 -06 05 50.11 25.1r 15GA54 568 C~2ji7 2016 02 04.53833 13 49 35.305 -08 03 25.24 24.5w 15GA54 568 C~2ji7 2016 02 04.59350 13 49 35.263 -08 03 24.34 24.6w 15GA54 568 C~2ji7 2016 02 04.60621 13 49 35.250 -08 03 24.02 24.6w 15GA54 568 C~2ji7 2016 02 04.65482 13 49 35.218 -08 03 23.30 24.8w 15GA54 568 C~2ji7 2016 02 11.58929 13 49 27.131 -08 01 00.46 24.7w 15GA54 568 C~2ji7 2016 03 11.51709 13 47 36.618 -07 44 24.92 24.7w 15GA54 568 C~2ji7 2016 03 11.52342 13 47 36.581 -07 44 24.72 24.7w 15GA54 568 C~2ji7 2016 03 11.58318 13 47 36.252 -07 44 22.04 24.9w 15GA54 568 C~2ji7 2016 03 11.59678 13 47 36.157 -07 44 21.36 24.8w 15GA54 568 C~2ji7 2016 03 12.46991 13 47 31.164 -07 43 43.10 24.7w 15GA54 568 C~2ji7 2016 03 12.51169 13 47 30.927 -07 43 41.41 24.6w 15GA54 568 C~2ji7 2016 03 12.52638 13 47 30.831 -07 43 40.53 15GA54 568 C~2ji7 2016 03 12.61050 13 47 30.336 -07 43 36.93 24.4w 15GA54 568 C~2ji7 2016 04 03.46957 13 45 03.200 -07 26 06.17 24.5w 15GA54 568 C~2ji7 2016 04 09.45073 13 44 17.998 -07 21 01.92 24.5w 15GA54 568 C~2ji7 2016 04 13.45991 13 43 47.158 -07 17 37.89 24.6w 15GA54 568 C~2ji7 2016 05 02.33152 13 41 22.887 -07 02 14.58 24.3w 15GA54 568 C~2ji7 2016 05 07.33487 13 40 46.485 -06 58 29.47 24.4w 15GA54 568 C~2ji7 2016 06 04.40200 13 37 59.472 -06 42 00.88 24.7w 15GA54 568 C~2ji7 2016 06 27.34644 13 36 52.061 -06 36 11.38 24.7w 15GA54 568 C~2ji7 2016 07 07.33613 13 36 46.520 -06 36 07.12 25.0w 15GA54 568 C~2ji7
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 0.02 0.00 -0.07 2 0.0710 -2275.58 0.12 269.70 0.04 3 0.0712 -2280.89 0.09 270.03 -0.04 4 0.1365 -5162.20 0.09 458.77 -0.02 5 0.1417 -5399.24 -0.15 470.88 0.10 6 0.1418 -5404.73 -0.34 470.95 -0.05 7 0.1420 -5417.71 -0.04 471.53 -0.03 8 0.1582 -6166.94 0.04 506.32 0.09 9 0.3276 -11745.34 -0.04 634.20 0.06 10 0.3277 -11746.60 0.06 634.07 -0.03 11 0.3332 -11804.57 0.10 632.77 -0.00 12 0.3933 -11793.84 -0.07 608.83 -0.04 13 0.4097 -11582.97 0.13 601.00 0.04 14 0.9553 11153.35 0.03 1869.26 0.02 15 0.9554 11152.44 0.02 1869.88 -0.05 16 0.9554 11152.15 -0.06 1870.11 0.03 17 0.9556 11151.44 0.04 1870.61 -0.07 18 0.9746 10987.88 -0.07 1961.41 -0.03 19 1.0538 9094.22 -0.08 2305.63 -0.05 20 1.0538 9093.64 -0.06 2305.62 -0.12 21 1.0539 9088.10 0.19 2306.38 0.05 22 1.0540 9086.54 -0.06 2306.51 0.05 23 1.0564 9003.39 -0.07 2315.71 0.01 24 1.0565 8999.49 0.13 2316.03 -0.08 25 1.0565 8997.84 -0.07 2316.34 0.10 26 1.0568 8989.66 0.03 2317.08 0.01 27 1.1166 6567.14 -0.01 2514.47 -0.01 28 1.1330 5829.63 0.05 2556.97 0.07 29 1.1440 5327.74 -0.01 2582.44 0.09 30 1.1956 2990.98 0.20 2670.34 0.10 31 1.2093 2404.16 -0.15 2684.64 -0.10 32 1.2862 -272.71 0.05 2706.29 -0.07 33 1.3490 -1335.55 0.05 2667.65 0.14 34 1.3763 -1414.04 -0.16 2641.64 -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.
15GA54 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 22.253 22.286 22.220 ecceobj 0.260 0.260 0.260 incobj 11.416 11.416 11.415 qmin 15.971 16.428 15.498 qmax 28.375 28.404 32.065 amean 21.876 22.352 22.444 amin 20.897 22.229 22.038 amax 22.513 22.593 24.223 emean 0.247 0.257 0.275 emin 0.235 0.252 0.245 emax 0.261 0.261 0.324 imean 11.705 11.314 10.948 imin 11.230 11.264 9.126 imax 12.042 11.354 12.151 excite_mean 0.320 0.324 0.335 fracstop 0.002 0.000 0.035 cjmean 2.999 2.984 2.972 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 265.8 257.8 173.2 kozaiamp 11.9 2.3 179.5