Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and stability of Lagrangian points in the relativistic
  restricted three body problem   It is well known that objects can oscillate around the Lagrangian point L4.
In this manuscript we compute the period of these oscillations by computing the
exact expression of the characteristic polynomial of the matrix that determined
the stability of the Lagrangian point. When we use relativity theory we are
supposed to get a small improvement of this period. This paper compares the
values of the the characteristic polynomials computed in the following way: 1.
Using relativity with an error smaller than 10^{-30}. 2. The characteristic
polynomial coming from a paper written in 2002, 3. The characteristic
polynomial coming from a paper written in 2006 and 4. The characteristic
polynomial obtain without using relativity.
  We show that the polynomial 1 is closer to the polynomial 4 than it is to the
polynomials 2 and 3. This is, the error in both polynomials that dealt with
relativity coming from previous papers is bigger than the error coming from the
characteristic polynomial that do not use relativity at all.
  We also prove the existence of the Lagrangian point L4 in the Sun-Earth
system using the Poincare Miranda theorem.

33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th