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: 15VG157
# Created Tue Apr 1 01:10:36 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 0.89y
# First observation: 2015/11/07
# Last observation: 2016/09/28
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.009359 -0.000001 -0.007425 0.016522 0.000000
# Chi-squared of fit: 3.18 DOF: 10 RMS: 0.11
# Min/Max residuals: -0.20 0.22
# Exact a, adot, b, bdot, g, gdot:
8.624340E-06 9.429320E-03 -7.226446E-06 -7.466500E-03 1.658540E-02 2.990369E-03
# Covariance matrix:
4.9200E-13 -9.3550E-14 1.4754E-14 -4.3345E-13 1.0291E-12 6.3135E-11
-9.3550E-14 9.8179E-10 1.2474E-11 -4.1970E-10 2.4183E-10 6.0799E-08
1.4754E-14 1.2474E-11 4.7774E-13 -5.7364E-12 3.1376E-12 7.7627E-10
-4.3345E-13 -4.1970E-10 -5.7364E-12 1.8124E-10 -1.0522E-10 -2.6101E-08
1.0291E-12 2.4183E-10 3.1376E-12 -1.0522E-10 6.4932E-11 1.5244E-08
6.3135E-11 6.0799E-08 7.7627E-10 -2.6101E-08 1.5244E-08 3.7811E-06
# lat0 lon0 xBary yBary zBary JD0
1.988243 40.539755 -0.063764 0.034605 -0.991857 2457333.789459
# Heliocentric elements and errors
Epoch: 2457330.5000 = 2015/11/04
Mean Anomaly: 106.28018 +/- 25.250
Argument of Peri: 43.98389 +/- 19.179
Long of Asc Node: 223.06266 +/- 0.004
Inclination: 38.49030 +/- 0.041
Eccentricity: 0.27469927 +/- 0.0947
Semi-Major Axis: 53.89584435 +/- 3.2050
Time of Perihelion: 2414664.5768 +/- 9395.0
Perihelion: 39.09069525 +/- 5.6069
Aphelion: 68.70099346 +/- 6.5364
Period (y) 395.6773 +/- 35.29
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 46.50192753 +/- 0.0223
Ecliptic Y 39.85893408 +/- 0.0190
Ecliptic Z 2.09141613 +/- 0.0010
Ecliptic XDOT -0.00060572 +/- 0.0002
Ecliptic YDOT 0.00152468 +/- 0.0002
Ecliptic ZDOT -0.00121463 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 61.28244374 +/- 0.0209
Geocenter to KBO 60.29399643 +/- 0.0293
# Hcoef: 7.34
The following table shows the complete astrometric record for 15VG157. 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 (15VG157) followed by the observatory code and reference code for the source of the astrometry.
2015 11 07.28867 02 29 53.139 +16 52 16.33 25.3r 15VG157 568 C~2Zsb 2015 11 07.37914 02 29 52.821 +16 52 14.29 25.3r 15VG157 568 C~2Zsb 2015 11 07.51461 02 29 52.330 +16 52 11.54 25.2r 15VG157 568 C~2Zsb 2015 12 09.15936 02 28 12.143 +16 41 26.79 15VG157 304 C~2Zsb 2015 12 09.20086 02 28 12.051 +16 41 26.16 15VG157 304 C~2Zsb 2016 09 27.32046 02 34 44.494 +16 50 57.69 24.8r 15VG157 304 C~2Zsb 2016 09 28.30923 02 34 41.791 +16 50 41.76 25.0r 15VG157 304 C~2Zsb 2016 09 28.36067 02 34 41.679 +16 50 40.87 25.1r 15VG157 304 C~2Zsb
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 0.08 0.00 0.02
2 0.0002 -4.98 0.04 -0.49 -0.11
3 0.0006 -12.53 -0.11 -0.88 0.08
4 0.0873 -1581.54 -0.17 -156.43 -0.02
5 0.0874 -1582.99 0.17 -156.61 0.03
6 0.8899 3948.27 -0.02 -1383.87 -0.01
7 0.8926 3906.43 -0.20 -1386.98 0.10
8 0.8927 3904.62 0.22 -1387.33 -0.09
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.
15VG157 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0