Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The self gravity effect on the orbital stability of Twotinos   We investigate how the self gravity changes the orbital stability of Twotinos
using N-body simulations in which the gravitational interaction between
planetesimals are fully calculated. We show the timescale in which the half of
Twotinos becomes unstable, t_{half}, obey the formula, t_{half} = 4 \times
106(Mtot0.1M\oplus)-1(mp7.6 \times 1023g)-1(hi2i1/20.002)(years), if we assume
the primordial planetesimals disk have the power low surface mass density,
\Sigma = \Sigma_0 \times r-2/3. Where Mtot, mp, hi2i1/2 are the total mass of
large bodies of Twotinos, the maximum mass of planetesimals, and the
inclination dispersion. With this formulae, we conclude the total mass of
Twotinos is reduced to the order of 0.01 M\oplus by the self gravity and
secular perturbation of the Planets even if there was huge mass such as several
order of the earth mass in 1:2 MMR of Neptune at the early age of the solar
system. These results will invoke reexamination to many previous works which
tried to explain the dynamical evolution of TNOs.

4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas