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: 18FM78
# Created Wed May 21 01:11:13 2025
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 36.98d
# First observation: 2018/03/18
# Last observation: 2018/04/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.030943 0.000000 0.001698 0.025460 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 3.34 DOF: 13 RMS: 0.11
# Min/Max residuals: -0.21 0.18
# Exact a, adot, b, bdot, g, gdot:
1.516782E-05 2.390780E-02 1.158671E-06 1.573155E-03 2.434508E-02 -5.557989E-03
# Covariance matrix:
1.8484E-12 2.2519E-09 1.6274E-14 3.9941E-11 3.5668E-10 -1.3572E-08
2.2519E-09 3.4316E-06 2.4689E-11 6.0660E-08 5.4078E-07 -2.1575E-05
1.6274E-14 2.4689E-11 3.6370E-13 -3.2453E-12 3.9163E-12 -1.4243E-10
3.9941E-11 6.0660E-08 -3.2453E-12 1.1424E-09 9.5976E-09 -3.6227E-07
3.5668E-10 5.4078E-07 3.9163E-12 9.5976E-09 8.5903E-08 -3.0592E-06
-1.3572E-08 -2.1575E-05 -1.4243E-10 -3.6227E-07 -3.0592E-06 3.0585E-04
# lat0 lon0 xBary yBary zBary JD0
3.368106 177.206340 0.000175 0.058506 -0.992630 2458195.984301
# Heliocentric elements and errors
Epoch: 2458190.5000 = 2018/03/13
Mean Anomaly: 305.07921 +/- 54.708
Argument of Peri: 123.02203 +/- 20.810
Long of Asc Node: 135.98179 +/- 1.932
Inclination: 4.98208 +/- 0.192
Eccentricity: 0.24483727 +/- 0.7663
Semi-Major Axis: 46.33788054 +/- 22.3099
Time of Perihelion: 2475767.1834 +/- 12059.1
Perihelion: 34.99264043 +/- 39.3039
Aphelion: 57.68312066 +/- 45.0804
Period (y) 315.4369 +/- 227.81
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.95090151 +/- 0.4931
Ecliptic Y 2.04008101 +/- 0.0241
Ecliptic Z 2.41331621 +/- 0.0291
Ecliptic XDOT 0.00050893 +/- 0.0020
Ecliptic YDOT -0.00272088 +/- 0.0003
Ecliptic ZDOT 0.00013974 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 42.06975354 +/- 0.4917
Geocenter to KBO 41.07606191 +/- 0.4945
# Hcoef: 8.15
The following table shows the complete astrometric record for 18FM78. 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 (18FM78) followed by the observatory code and reference code for the source of the astrometry.
2018 03 18.48350 11 55 06.70 +04 12 03.8 24.5i 18FM78 T09 C~8r8k 2018 03 18.55466 11 55 06.37 +04 12 06.0 24.2i 18FM78 T09 C~8r8k 2018 03 18.58405 11 55 06.25 +04 12 07.0 24.3i 18FM78 T09 C~8r8k 2018 03 18.59474 11 55 06.18 +04 12 07.1 24.0i 18FM78 T09 C~8r8k 2018 04 22.279839 11 52 41.57 +04 27 25.3 18FM78 T09 C~8r8k 2018 04 22.422267 11 52 41.05 +04 27 28.4 18FM78 T09 C~8r8k 2018 04 24.41756 11 52 34.05 +04 28 09.3 24.3z 18FM78 T09 C~8r8k 2018 04 24.45059 11 52 33.95 +04 28 09.7 24.0z 18FM78 T09 C~8r8k 2018 04 24.46396 11 52 33.90 +04 28 10.0 23.6z 18FM78 T09 C~8r8k
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 0.07 0.00 -0.03
2 0.0002 -5.40 -0.04 0.05 -0.01
3 0.0003 -7.45 0.09 0.25 0.18
4 0.0003 -8.45 -0.12 -0.07 -0.15
5 0.0953 -2358.26 0.05 -18.62 0.07
6 0.0957 -2366.63 -0.02 -18.86 0.16
7 0.1011 -2478.96 -0.21 -22.96 0.02
8 0.1012 -2480.49 0.12 -23.19 -0.12
9 0.1012 -2481.30 0.06 -23.21 -0.11
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.
18FM78 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