Feasibility Assessment of Rapid Earth–Mars Transfers
Using High-Power Electric Propulsion
Nicolas Bérend
*
ONERA–The French Aerospace Lab, F-91123 Palaiseau, France
Elisa Cliquet Moreno
†
and Jean-Marc Ruault
‡
Centre National d’Études Spatiales, F-75612 Paris, France
and
Richard Epenoy
§
Centre National d’Études Spatiales, F-31401 Toulouse, France
DOI: 10.2514/1.A32560
The aim of this paper is to investigate the feasibility of an Earth-to-Mars transfer with reduced transfer time using
a high-power electric propulsion system. The study involved a multidisciplinary analysis combining general
performance calculations for power-limited systems, an analysis of a nuclear power source that might be available in
the future, and a series of mission analyses, including trajectory optimization. The study quantified the importance of
the specific mass of the power and propulsion system with regard to the objective of a fast transfer. A very fast Earth-
to-Mars transfer in less than six weeks appears to be unrealistic in the medium term because it depends on a
hypothetical breakthrough with the nuclear electric power source, requiring a specific mass that would typically be
less than 1 kg∕kW. The results obtained define the limits to improvements that could be obtained in the medium
term, using power-generation technologies that, while challenging, are frequently considered as reasonably
optimistic, for example using a high-temperature Brayton or Rankine conversion cycle. The shortest Earth-to-Mars
transfer time that could be expected for missions with a large enough payload mass was found to be about 120 days,
compared to 180 days with chemical propulsion.
Nomenclature
g
0
= 9.80665 m∕s
2
, terrestrial acceleration due to gravity at
sea-level
Isp = specific impulse
k = M
S
∕M
P
, tank structural mass ratio
M = mass, kg
M
f
= total final mass, kg
M
i
= total initial mass, kg
M
P
= propellant mass, kg
M
PL
= payload mass, kg
M
S
= structure mass, kg
M
W
= power source mass, kg
Pe = input power delivered by the source, W
q = mass flow rate, kg∕s
r = position vector, m
T = thrust modulus, N
t = time, s
U = thrust direction vector
v = velocity vector, m∕s
α = specific mass of the power source and propulsion
system, kg∕kW
γ
T
= thrust acceleration, m∕s
2
η = overall efficiency of the propulsion system
λ = trajectory characteristic parameter, m
2
∕s
3
μ = gravitational parameter (1.327 · 10
20
× m
3
∕s
2
for the
Sun, and 3.986 · 10
14
m
3
∕s
2
for the Earth)
I. Introduction
O
NE of the challenges of human exploration of Mars lies in the
long time required for interplanetary transfer, which is about 180
days for Earth-to-Mars using chemical or nuclear thermal propulsion.
Indeed, classical manned Mars mission scenarios based on chemical or
nuclear thermal propulsion typically allow for two types of mission
profiles: either a conjunction class mission with a 500–600 day stay,
requiring 180–220 days each way, or an opposition class mission with
a 30–60 day stay, requiring 250–300 days in transit to Mars and 150–
300 days for the return leg [1–3]. Although not considered as strictly
mandatory, any reduction in transfer time would be an improvement, as
it would relieve many issues, both technical and psychological, for
human Mars missions. High-power nuclear electric power systems,
whose primary advantage is a high specific impulse, are considered as
possible solutions to this problem [4,5] because they open the way
to alternative, more flexible mission profiles. One example of fast
Earth-to-Mars transfer was studied recently by the Ad Astra Rocket
Company (AARC), which proposed a mission architecture for sending
humans to Mars in 39 days using nuclear-generation for electrically
powered variable-specific-impulse magnetoplasma rocket (VASIMR)
engines [6].
The purpose of this paper is to analyze the medium-term capability
of nuclear electric propulsion systems considering both payload mass
ratio and transfer time with regard to Earth-to-Mars transfers of less
than 6 months. In the first part of the paper (Sec. II), general mass
target considerations for manned Mars missions are given, and the
achievable specific mass of the nuclear power-generation system is
discussed based not only on bibliographical sources but also on
recent CNES–AREVA studies [7]. Based on this discussion, high-
level assumptions are derived regarding the specific mass of the
power source for credible medium-term and long-term mission
Presented as Paper 2012-3889 at the 48th AIAA/ASME/SAE/ASEE Joint
Propulsion Conference & Exhibit, Atlanta, GA, 30 July–1 August 2012;
received 5 December 2012; revision received 29 October 2013; accepted for
publication 6 November 2013; published online 28 March 2014. Copyright ©
2013 by ONERA and CNES. Published by the American Institute of
Aeronautics and Astronautics, Inc., with permission. Copies of this paper may
be made for personal or internal use, on condition that the copier pay the
$10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood
Drive, Danvers, MA 01923; include the code 1533-6794/14 and $10.00 in
correspondence with the CCC.
*Senior Expert, System Design and Performance Calculation Department,
hemin de la hunière et des joncherettes, BP 80100. Member AIAA.
†
Propulsion System Specialist, Directorate of Launchers, 52 Rue Jacques
Hillairet.
‡
Project Manager, Directorate of Launchers, 52 Rue Jacques Hillairet.
§
Trajectory Optimization Expert, Toulouse Space Centre, 18 Avenue
Edouard Belin.
946
JOURNAL OF SPACECRAFT AND ROCKETS
Vol. 51, No. 3, May–June 2014
Downloaded by UNIV. DEGLI STUDI DI MILANO on June 10, 2014 | http://arc.aiaa.org | DOI: 10.2514/1.A32560