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: 15GP54 # Created Fri Nov 22 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 35 observations of 35 # Arc: 2.35y # First observation: 2015/02/17 # Last observation: 2017/06/26 Preliminary a, adot, b, bdot, g, gdot: -0.000199 0.033282 -0.000022 -0.006379 0.030144 0.000000 # Chi-squared of fit: 11.52 DOF: 64 RMS: 0.10 # Min/Max residuals: -0.47 0.18 # Exact a, adot, b, bdot, g, gdot: 1.680957E-05 3.341551E-02 -3.517457E-06 -6.457999E-03 3.038222E-02 9.917502E-03 # Covariance matrix: 1.6384E-13 -1.5256E-14 2.1958E-15 -1.2269E-14 1.1158E-13 9.9125E-13 -1.5256E-14 3.4542E-13 1.6648E-14 -7.7138E-14 1.8392E-13 6.1447E-12 2.1958E-15 1.6648E-14 9.1085E-14 -7.0197E-14 1.0690E-14 4.0137E-13 -1.2269E-14 -7.7138E-14 -7.0197E-14 1.1174E-13 -5.2009E-14 -1.8532E-12 1.1158E-13 1.8392E-13 1.0690E-14 -5.2009E-14 2.2134E-13 4.1594E-12 9.9125E-13 6.1447E-12 4.0137E-13 -1.8532E-12 4.1594E-12 1.4757E-10 # lat0 lon0 xBary yBary zBary JD0 1.417835 -152.529098 0.846534 0.012620 -0.504004 2457071.023648 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 43.84450 +/- 0.018 Argument of Peri: 98.10755 +/- 0.018 Long of Asc Node: 33.28714 +/- 0.000 Inclination: 10.89802 +/- 0.000 Eccentricity: 0.29830624 +/- 0.0004 Semi-Major Axis: 39.62385255 +/- 0.0100 Time of Perihelion: 2445975.0193 +/- 1.7 Perihelion: 27.80380991 +/- 0.0162 Aphelion: 51.44389518 +/- 0.0196 Period (y) 249.4269 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.03442541 +/- 0.0005 Ecliptic Y -14.65988895 +/- 0.0002 Ecliptic Z 0.81428344 +/- 0.0000 Ecliptic XDOT 0.00057994 +/- 0.0000 Ecliptic YDOT -0.00309601 +/- 0.0000 Ecliptic ZDOT -0.00055957 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.43115480 +/- 0.0004 Geocenter to KBO 32.91398664 +/- 0.0005 # Hcoef: 8.74
The following table shows the complete astrometric record for 15GP54. 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 (15GP54) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.52287 13 44 04.252 -09 14 58.64 24.1r 15GP54 568 C~2lV7 2015 02 17.56399 13 44 04.141 -09 14 58.22 24.0r 15GP54 568 C~2lV7 2015 02 20.59770 13 43 56.664 -09 14 20.23 24.0r 15GP54 568 C~2lV7 2015 03 18.50144 13 42 18.528 -09 05 53.08 24.3r 15GP54 568 C~2lV7 2015 03 18.54235 13 42 18.331 -09 05 52.32 23.5r 15GP54 568 C~2lV7 2015 03 20.54594 13 42 08.618 -09 05 01.91 24.1r 15GP54 568 C~2lV7 2015 04 11.48071 13 40 10.503 -08 54 55.21 24.0r 15GP54 568 C~2lV7 2015 04 12.38760 13 40 05.346 -08 54 28.90 23.9r 15GP54 568 C~2lV7 2015 04 12.43323 13 40 05.071 -08 54 27.45 23.6r 15GP54 568 C~2lV7 2015 04 12.47547 13 40 04.832 -08 54 26.27 24.0r 15GP54 568 C~2lV7 2015 04 18.44608 13 39 30.639 -08 51 33.85 22.6r 15GP54 568 C~2lV7 2015 04 18.49382 13 39 30.397 -08 51 32.21 23.5r 15GP54 568 C~2lV7 2015 05 17.25497 13 36 55.241 -08 38 52.76 24.2r 15GP54 568 C~2lV7 2015 05 25.39688 13 36 18.329 -08 36 03.59 24.2r 15GP54 568 C~2lV7 2015 05 25.45500 13 36 18.073 -08 36 02.56 24.2r 15GP54 568 C~2lV7 2015 06 21.34643 13 34 54.509 -08 30 37.00 24.0r 15GP54 568 C~2lV7 2015 06 22.30309 13 34 52.804 -08 30 32.84 24.3r 15GP54 568 C~2lV7 2015 07 12.29701 13 34 39.296 -08 31 19.53 23.3r 15GP54 568 C~2lV7 2015 07 19.28682 13 34 44.853 -08 32 35.56 24.4r 15GP54 568 C~2lV7 2016 02 04.63543 13 51 03.135 -10 17 17.93 24.5w 15GP54 568 C~2lV7 2016 02 11.61375 13 50 55.854 -10 16 50.09 24.4w 15GP54 568 C~2lV7 2016 03 11.61710 13 49 31.155 -10 10 01.89 24.4w 15GP54 568 C~2lV7 2016 03 12.48956 13 49 27.435 -10 09 43.45 24.6w 15GP54 568 C~2lV7 2016 04 03.48576 13 47 38.290 -10 00 38.04 24.1w 15GP54 568 C~2lV7 2016 04 09.46692 13 47 05.044 -09 57 52.14 24.2w 15GP54 568 C~2lV7 2016 05 02.35585 13 44 55.682 -09 47 14.27 24.3w 15GP54 568 C~2lV7 2016 05 07.35921 13 44 28.599 -09 45 03.45 24.1w 15GP54 568 C~2lV7 2016 05 29.33148 13 42 44.457 -09 36 58.75 24.4w 15GP54 568 C~2lV7 2016 06 04.39391 13 42 21.493 -09 35 19.45 24.3w 15GP54 568 C~2lV7 2016 06 27.31561 13 41 24.886 -09 31 59.80 24.2w 15GP54 568 C~2lV7 2016 07 07.31185 13 41 16.897 -09 32 09.14 24.5w 15GP54 568 C~2lV7 2017 02 27.65350 13 56 54.491 -11 13 29.52 15GP54 568 C~2lV7 2017 03 30.51590 13 54 43.036 -11 03 03.67 24.2w 15GP54 568 C~2lV7 2017 03 31.45116 13 54 38.131 -11 02 39.67 24.0w 15GP54 568 C~2lV8 2017 06 26.27262 13 48 03.034 -10 32 15.78 24.5w 15GP54 568 C~2lV8
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 0.12 0.00 0.03 2 0.0001 -1.68 -0.03 -0.20 -0.08 3 0.0084 -118.65 -0.08 -4.31 -0.04 4 0.0793 -1657.15 -0.07 -51.34 0.09 5 0.0795 -1660.15 0.06 -51.68 -0.13 6 0.0849 -1812.53 0.18 -56.24 0.02 7 0.1450 -3663.90 0.04 -119.12 0.06 8 0.1475 -3744.70 0.02 -122.09 0.09 9 0.1476 -3749.02 -0.17 -122.21 0.16 10 0.1477 -3752.75 -0.06 -122.38 0.15 11 0.1641 -4287.79 -0.30 -144.14 -0.47 12 0.1642 -4291.73 0.11 -143.90 -0.03 13 0.2429 -6712.72 0.10 -266.92 0.07 14 0.2652 -7284.89 -0.00 -307.60 0.06 15 0.2654 -7288.81 -0.03 -308.02 -0.04 16 0.3390 -8563.86 0.02 -454.64 0.04 17 0.3416 -8588.98 -0.03 -459.96 0.17 18 0.3964 -8759.00 -0.02 -576.39 -0.06 19 0.4155 -8654.39 0.14 -617.29 -0.13 20 0.9640 7119.38 -0.00 -1296.54 -0.07 21 0.9831 7008.88 0.09 -1308.39 0.01 22 1.0625 5693.71 0.07 -1368.19 0.08 23 1.0649 5635.77 -0.09 -1370.38 -0.03 24 1.1252 3934.27 -0.03 -1431.70 0.08 25 1.1415 3416.07 -0.03 -1451.11 0.08 26 1.2042 1402.23 -0.10 -1536.08 -0.01 27 1.2179 981.54 0.08 -1556.87 -0.07 28 1.2781 -629.87 0.10 -1655.37 0.02 29 1.2947 -982.54 -0.01 -1684.47 0.00 30 1.3574 -1835.78 -0.04 -1798.79 0.05 31 1.3848 -1942.72 -0.03 -1849.99 -0.02 32 2.0291 13166.00 -0.01 -2642.51 -0.05 33 2.1136 11127.35 -0.00 -2730.80 -0.13 34 2.1162 11051.08 0.01 -2733.56 0.05 35 2.3539 4950.06 -0.01 -3076.93 0.06
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.
15GP54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.251 39.282 39.221 ecceobj 0.294 0.295 0.293 incobj 10.929 10.929 10.929 qmin 27.344 27.318 27.366 qmax 52.295 52.377 52.288 amean 39.455 39.455 39.455 amin 38.919 38.925 38.929 amax 40.068 40.105 40.104 emean 0.290 0.290 0.290 emin 0.272 0.273 0.270 emax 0.307 0.307 0.306 imean 10.739 10.751 10.726 imin 10.052 10.086 10.026 imax 11.346 11.402 11.302 excite_mean 0.345 0.345 0.344 fracstop 1.000 1.000 1.000 cjmean 2.915 2.915 2.916 libcent 0 179.8 177.8 180.0 libamp 0 104.1 114.2 104.2 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 189.6 190.3 189.0 kozaiamp 180.0 179.9 180.0