Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Closed form perturbation theory in the restricted three-body problem
  without relegation   We propose a closed-form normalization method suitable for the study of the
secular dynamics of small bodies in heliocentric orbits perturbed by the tidal
potential of a planet with orbit external to the orbit of the small body. The
method makes no use of relegation, thus, circumventing all convergence issues
related to that technique. The method is based on a convenient use of a
book-keeping parameter keeping simultaneously track of all the small quantities
in the problem. The book-keeping affects both the Lie series and the Poisson
structure employed in successive perturbative steps. In particular, it affects
the definition of the normal form remainder at every normalization step. We
show the results obtained by assuming Jupiter as perturbing planet and we
discuss the validity and limits of the method.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
19
The categories of this paper are: eess