Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Novel Approach for Optimal Trajectory Design with Multiple Operation
  Modes of Propulsion System, Part 2   Equipping a spacecraft with multiple solar-powered electric engines (of the
same or different types) compounds the task of optimal trajectory design due to
presence of both real-valued inputs (power input to each engine in addition to
the direction of thrust vector) and discrete variables (number of active
engines). Each engine can be switched on/off independently and "optimal"
operating power of each engine depends on the available solar power, which
depends on the distance from the Sun. Application of the Composite Smooth
Control (CSC) framework to a heliocentric fuel-optimal trajectory optimization
from the Earth to the comet 67P/Churyumov-Gerasimenko is demonstrated, which
presents a new approach to deal with multiple-engine problems. Operation of
engine clusters with 4, 6, 10 and even 20 engines of the same type can be
optimized. Moreover, engine clusters with different/mixed electric engines are
considered with either 2, 3 or 4 different types of engines. Remarkably, the
CSC framework allows us 1) to reduce the original multi-point boundary-value
problem to a two-point boundary-value problem (TPBVP), and 2) to solve the
resulting TPBVPs using a single-shooting solution scheme and with a random
initialization of the missing costates. While the approach we present is a
continuous neighbor of the discontinuous extremals, we show that the
discontinuous necessary conditions are satisfied in the asymptotic limit. We
believe this is the first indirect method to accommodate a multi-mode control
of this level of complexity with realistic engine performance curves. The
results are interesting and promising for dealing with a large family of such
challenging multi-mode optimal control problems.

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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph