Gb. Valsecchi et A. Manara, DYNAMICS OF COMETS IN THE OUTER PLANETARY REGION .2. ENHANCED PLANETARY MASSES AND ORBITAL EVOLUTIONARY PATHS, Astronomy and astrophysics, 323(3), 1997, pp. 986-998
We study the effect of increasing the masses of the outer planets to s
peed up the numerical integration of orbital evolutions of fictitious
comets subject to planetary close encounters. We use Opik's theory to
model encounters on crossing orbits, and find that the distribution of
energy perturbations, and especially of its tails, is changed signifi
cantly depending on the range of initial conditions considered and on
the enhancement factor used for the planetary masses. We then analyze
nearly tangent, low-velocity encounters making use of a simple argumen
t based on the opening of Hill's surfaces of zero velocity, again find
ing that the energy perturbation distribution depends on the mass enha
ncement factor. To check these results we compare the outcomes of inte
grations done with masses enhanced by the factors 10 and 40 to those o
f integrations done with the red masses, coming once more to the same
conclusion; we put these findings in perspective, discussing the mure
general issue of the dynamical paths followed by potential short-perio
d comets in the region of the outer planets. Results concerning the or
bital evolution of comets obtained by integrations performed with enha
nced masses should be considered with caution.