Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass loss through the L2 Lagrange point - Application to Main Sequence
  EMRI   We consider stable mass transfer from the secondary to the primary of an
extreme mass ratio binary system. We show that when the mass transfer is
sufficiently fast, mass leakage occurs through the outer Lagrange point L2, in
addition to the usual transfer through L1. We provide an analytical estimate
for the mass leakage rate through L2 and find the conditions in which it is
comparable to the mass transfer rate through L1. Focusing on a binary system of
a main-sequence star and a super-massive black hole, driven by the emission of
gravitational radiation, we show that it may sustain stable mass transfer,
along with mass loss through L2. If such a mass-transferring system occurs at
our Galactic Centre, it produces a gravitational wave signal detectable by
future detectors, such as eLISA. The signal evolves according to the star's
adiabatic index and cooling time. For low mass stars, the evolution is faster
than the Kelvin-Helmholtz cooling rate driving the star out of the
main-sequence. In some cases, the frequency and amplitude of the signal may
both decrease with time, contrary to the standard chirp of a coalescing binary.
Mass loss through L2, when occurs, decreases the evolution timescale of the
emitted gravitational wave signal by up to a few tens of per cent. We conclude
that L2 mass ejection is a crucial factor in analyzing gravitational waves
signals produced by such systems.

13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex