Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forward Symplectic Integrators for Solving Gravitational Few-Body
  Problems   We introduce a class of fourth order symplectic algorithms that are ideal for
doing long time integration of gravitational few-body problems. These
algorithms have only positive time steps, but require computing the force
gradient in additional to the force. We demonstrate the efficiency of these
Forward Symplectic Integrators by solving the circularly restricted three-body
problem in the space-fixed frame where the force on the third body is
explicitly time-dependent. These algorithms can achieve accuracy of
Runge-Kutta, backward time step and corrector symplectic algorithms at step
sizes five to ten times as large.

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The categories of this paper are: hep-ph
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom