Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Good rotations   Numerical integrations in celestial mechanics often involve the repeated
computation of a rotation with a constant angle. A direct evaluation of these
rotations yields a linear drift of the distance to the origin. This is due to
roundoff in the representation of the sine s and cosine c of the angle theta.
In a computer, one generally gets c^2 + s^2 <> 1, resulting in a mapping that
is slightly contracting or expanding. In the present paper we present a method
to find pairs of representable real numbers s and c such that c^2 + s^2 is as
close to 1 as possible. We show that this results in a drastic decrease of the
systematic error, making it negligible compared to the random error of other
operations. We also verify that this approach gives good results in a realistic
celestial mechanics integration.

27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph