PLANETARY SCIENCE:
Enhanced: News from the Edge of Interstellar
Space
Edward C. Stone [HN21] *
Auroral activity and magnetic storms that occasionally disrupt electric
power grids are caused by the supersonic solar wind [HN1]
that sweeps past Earth as it blows radially away from the Sun. This wind
creates the heliosphere [HN2] , a bubble of magnetized
plasma that surrounds the Sun and includes the orbits of all known planets.
Two spacecraft, Voyager 1 and 2 [HN3] , are approaching
the edge of the heliosphere [HN4]--the heliopause--where
the radially decreasing pressure of the expanding solar wind balances the
inward pressure of the local interstellar medium [HN5].
En route, the spacecraft are sending back important information about the
far reaches of the solar system.
The size of the heliosphere varies as the solar wind pressure changes
with the 11-year solar cycle [HN6], with maximum size
at the time of minimum solar activity (1). Currently,
the heliosphere is shrinking because solar activity is near its maximum.
Furthermore, it is distorted into a cometlike shape by the motion of the
interstellar medium relative to the Sun. A long tail extends in the downwind
direction. The two Voyager spacecraft are headed in the opposite, upwind
direction, where the heliopause is closest to the Sun (see the first figure).
The heliosphere in the interstellar medium. The interstellar wind
flows around the heliosphere, which is formed by the supersonic solar wind
as it expands radially from the Sun. At the termination shock, the solar
wind abruptly slows and heats up (106 K) as it turns toward
the tail of the heliosphere. In this model, the interstellar wind is supersonic
(7) and a bow shock forms upstream of the nose of the
heliosphere, where the interstellar wind slows and is warmed to a still
relatively cool 20,000 K. The heliopause separates the cool interstellar
ions deflected around the heliosphere from the hot solar ions inside the
heliosphere.
SOURCE: ADAPTED FROM (18 )
The exact location of the heliopause remains uncertain because the
strength and direction of the interstellar magnetic field and the densities
of ionized H and He, which contribute to the interstellar pressure, are
not precisely known. If we knew the size of the heliosphere, we would thus
also have a measure of the properties of the local interstellar medium.
The Voyager spacecraft are still too far from the heliopause to provide
direct information about its location. But they may soon encounter another
feature of the outer solar system, the termination shock [HN7],
which provides an important clue to the overall size of the heliosphere.
As the solar wind approaches within ~40 astronomical units (AU) (1
AU = Sun-Earth distance) of the heliopause, it slows abruptly to a hot,
subsonic flow that gradually turns in the tailward direction. This results
in a termination shock front, the location of which is a direct indication
of the size of the heliosphere and the pressure of the local interstellar
medium. The location of the termination shock has not yet been determined
directly. But there have been recent estimates based on five distinct approaches
(see the second figure).
Where is the termination shock? Five methods have been used to estimate
the distance to the termination shock. Each uses a different type of data:
the solar wind dynamic pressure (open and filled circles, open diamonds),
the timing of heliospheric radio emissions (open triangles), anomalous
cosmic ray intensity gradients (filled squares), the duration of cosmic
ray intensity decreases (filled triangles), and the intensity of solar
ultraviolet backscattered from interstellar neutral H (open squares). Solid
blue line, predicted variation in the shock location arising from observed
changes in the solar wind pressure over the last three solar cycles (
1). To illustrate the possible range of shock distances in the years
ahead, the predicted location from the prior cycles (solid blue line) has
been shifted 10 (blue dashes), 20 (black dots), and 30 (purple dashes)
years.
The first approach is based on the dynamic pressure balance between
the solar wind and the interstellar magnetic field. Using Voyager 2 measurements
for the solar wind pressure and assuming an interstellar magnetic field
of 0.5 nanotesla [HN8], Belcher [HN9]et
al. (2) calculated that for 1990 through 1993,
the termination shock was on average located between 78 and 108 AU. Although
based on a highly uncertain estimate of the interstellar magnetic field,
this interstellar pressure is very similar to a more recent assessment
that included uncertainties in the various contributions to the interstellar
pressure and led to a distance of 88 ± 22 AU ( 3,
4).
Ionized interstellar H and He are deflected around the heliosphere.
In contrast, neutral interstellar atoms flow deep into the heliosphere,
where they are ionized and picked up by the interplanetary magnetic field
in the outward flowing solar wind. Using Ulysses [HN10]
observations of such interstellar pickup ions [HN11]
within 5 AU of the Sun, Gloeckler [HN12] et al.
( 5) derived an upper limit of ~85 AU for the shock
distance. Ulysses observations of increased solar wind dynamic pressure
at high solar latitudes have also been incorporated into models of the
interaction of the heliosphere and the interstellar medium, yielding shock
locations of 88 AU (6 ), 95 AU (7),
80 ± 10 AU (8 ), and 88 to 103 AU (9).
Low-frequency radio emissions [HN13] thought
to be excited in the local interstellar medium by the arrival of a large
interplanetary shock complex are exploited in the second approach. Gurnett
and Kurth [HN14] have combined the observed onset
times of these radio emissions with a magnetohydrodynamic model for the
propagation of such shocks outward from the Sun (10
). They estimated a heliopause located at 110 to 160 AU, corresponding
to a termination shock at 80 to 115 AU. In a recent shock propagation model
that includes the presence of interstellar neutral atoms and pickup ions
in the heliosphere, Zank [HN15]et al. (
11) estimated a termination shock distance of less than 85 to 90 AU.
The backscattering of solar H Lyman-a
radiation
[HN16] by neutral interstellar H provides
a third route to estimating the size of the heliosphere. Differences in
the backscattered ultraviolet intensities observed by Voyager (upwind)
and Pioneer 10 [HN17] (downwind) in 1990 imply the
existence of a termination shock between 70 and 105 AU (12).
The termination shock accelerates interstellar pickup ions to total
energies of more than 250 MeV. These anomalous cosmic rays diffuse and
drift inward from the shock, establishing an intensity gradient that provides
a fourth method for estimating the shock distance. Extrapolating the gradients
observed inside 49 AU outward to the shock source gave a best fit shock
location of 84 ± 5 AU for the 1980s (13 ).
The final approach is based on the observation that outward propagating
shock complexes cause transient decreases in the intensities of anomalous
and galactic cosmic rays [HN18]. Model calculations
indicate that the duration of such a decrease reflects the transit time
of the interplanetary shock complex to the termination shock (
14). Local temporal variations often perturb the observed recovery,
but analysis of one such transient decrease in 1999 indicated that the
termination shock was only 10 AU beyond Voyager 1 at 83 ± 1 AU (
15). A related study used the duration of a transient inward flow of
anomalous cosmic rays, leading to a shock distance of 88.5 ± 7 AU
(16).
The assumptions and simplifications in each of the five methods introduce
further uncertainties that are more difficult to quantify. Nevertheless,
the models and observations are sufficiently different that the systematic
uncertainties are unlikely to be correlated among the methods. The clustering
of the estimates between 80 and 100 AU thus lends additional weight to
the individual estimates.
The location of the termination shock is not fixed in time. Whang
and Burlaga [HN19] have incorporated the temporal
variations observed by Voyager 2 into a two-dimensional magnetohydrodynamic
model (1). They find that the location of the termination
shock varies by about 20 AU over the solar cycle. The distance is smallest
following times of maximum solar activity.
The shock is presently moving inward (see the second figure). Within
the next few years, wind speed and pressure will increase, and with the
arrival of the increased pressure, the termination shock will begin moving
outward. This will affect when the Voyager spacecraft encounters the termination
shock.
Voyager 1 is currently at ~82 AU and moves outward at 3.6 AU per
year, followed by Voyager 2, now at ~66 AU and moving outward at 3.3 AU
per year
[HN20]. Comparison with the Voyager 1 trajectory
suggests the possibility of one or more encounters with the termination
shock by 2005. If there has been no encounter by then, the shock will likely
be moving outward again. It may then be 2 to 5 more years before it moves
back into range for Voyager 1 to take a direct measure of the size of the
heliosphere (17).
References and Notes
-
Y. C. Whang, L. F. Burlaga, Geophys. Res. Lett. 27, 1607 (2000)
[ADS][fulltext].
-
J. W. Belcher et al., J. Geophys. Res. 98, 15177 (1993)
[ADS].
-
R. von Steiger et al., Space Sci. Rev. 78, 1 (1996)
[issue
contents].
-
A. C. Cummings et al., personal communcation.
-
G. Gloeckler et al., Nature 386 , 374 (1997) [ADS].
-
H. L. Pauls, G. P. Zank, J. Geophys. Res. 101, 17081 (1996)
[ADS].
-
------, J. Geophys. Res. 102 , 19779 (1997) [ADS].
-
T. J. Linde et al., J. Geophys. Res. 103, 1889 (1998)
[ADS].
-
G. Exarhos, X. Moussas, Astrophys J. 542 , 1075 (2000) [ADS].
-
D. A Gurnett, W. S. Kurth, Space Sci. Rev. 78, 53 (1996)
[ADS][abstract].
-
G. Zank et al., in preparation.
-
D. Hall et al., J. Geophys. Res. 98, 15185 (1993)
[ADS].
-
E. C. Stone, A. C. Cummings, Proc. 26th Int. Cosmic Ray Conf.
7, 500 (1999) [proceedings][fulltext].
-
J. A. le Roux, H. Fichtner, J. Geophys. Res. 104, 4709 (1999)
[ADS].
-
W. R. Webber et al., J. Geophys. Res. 106, 253 (2001)
[ADS].
-
F. B. McDonald et al., J. Geophys. Res. 105, 1 (2000)
[ADS].
-
E. C. Stone and A. C. Cummings [Proc. 27th Int. Cosmic Ray Conf. (2001)]
give further details on estimates of the termination shock location [conference
Web site] .
-
G. P. Zank, Space Sci. Rev. 89, 413 (1999) [ADS].
The author is in the Division of Physics, Mathematics,
and Astronomy, California Institute of Technology, Pasadena, CA 91125,
USA. E-mail: ecs@srl.caltech.edu
HyperNotes
Related Resources on the World Wide Web
General Hypernotes
-
The Academic Press Dictionary
of Science and Technology is made available on the Web by its publisher
Harcourt.
-
Astronomy Unbound,
a virtual astronomy text from the Department
of Physical Sciences, University of Hertfordshire, UK, provides a glossary
.
-
The Stanford Solar
Center provides a solar
glossary.
-
The Space Environment Center
of the National Oceanic and Atmospheric Administration (NOAA) provides
a glossary of
solar-terrestrial terms and a primer
on the space environment.
-
AstroWeb,
a collection of pointers to astronomy-related information available on
the Internet, is maintained by the AstroWeb
Consortium, an international collaboration involving seven institutions.
-
Links 2Go provides
links to Internet resources on space
physics.
-
The Space Physics
and Aeronomy Section of the American Geophysical Union provides a collection
of Internet resources,
as well as a selection of educational
Web sites.
-
The NASA Astrophysics Data System
makes available abstracts of astronomy and astrophysics journal articles,
an archive of articles from some journals, and other resources.
-
Windows to the Universe,
sponsored by NASA, offers presentations about Earth
and space science topics.
-
Cosmic
and Heliospheric Pages and Services is a browsable and searchable collection
of Internet links provided by the National
Space Science Data Center (NSSDC) at NASA
Goddard Space Flight Center (GSFC).
-
The Cosmic and Heliospheric
Learning Center is provided by GSFC's Laboratory
for High Energy Astrophysics. A glossary
and Internet
links are provided.
-
The Space Physics Group at the
University of Oulu, Finland, provides a collection of links to Internet
resources in space physics as well as the Space
Physics Textbook.
-
NASA's Jet Propulsion Laboratory
provides the Voyager
Project Home Page. JPL offers a tutorial (with a glossary)
on the basics of space
flight. A presentation on the environment
of the solar system is included.
-
Bill Arnett's Nine
Planets provides a presentation on the interplanetary
medium.
-
Astronomy Notes
is a Web textbook by N.
Strobel, Physical Science Department, Bakersfield College, CA.
-
J. Evans,
Department of Physics and Astronomy, George Mason University, Fairfax,
VA, provides
lecture
notes for an astronomy
course. Lecture notes on solar
activity and the interstellar
medium are included.
-
H. E. Smith, Center
for Astrophysics and Space Sciences, University of California, San Diego,
offers an astronomy
tutorial. A presentation on the interstellar
medium is included
-
The Astronomica Web site
makes available Astronomy: The
Cosmic Journey, a Web textbook by W. Hartmann and C.
Impey, Department of Astronomy, University of Arizona.
-
S. Daunt, Department
Physics and Astronomy, University of Tennessee, offers lecture notes
for courses on the solar
system and stars,
galaxies, and cosmology. Presentations on the solar
wind and the interstellar
medium are included.
-
S. Myers, National
Radio Astronomy Observatory, Socorro, NM, provides lecture
notes for an astrophysics
course.
-
I. Cairns, School
of Physics, University of Sydney, Australia, provides lecture
notes (see the course
syllabus for the topics of the numbered lectures) for a course
on solar and space physics.
-
E.
Möbius, Experimental Space Plasma Group, University of New Hampshire,
provides
lecture
notes for a course on the solar
wind and cosmic rays.
-
A Science Strategy for Space Physics, a 1995
report from the Space Studies
Board of the National Academy of Sciences, includes a chapter
on the physics of the solar wind and heliosphere.
-
The January-February 2000 issue of American
Scientist had an article
by P. Frisch about
the heliosphere and interstellar medium titled "The galactic environment
of the sun."
Numbered Hypernotes
-
Windows to
the Universe provides an introduction to the solar
wind. The Solar
Physics Group, NASA Marshall Space Flight Center, provides an introduction
to the solar
wind and the heliosphere.
The Solar-Heliospheric
Research Group, University of Michigan, provides information on the
solar
wind and its effects
in a virtual
tour for nonscientists. The Cosmic
and Heliospheric Learning Center offers a presentation on the solar
wind. Exploration
of the Earth's Magnetosphere, an educational presentation from GSFC
by D. Stern and M. Peredo, includes information on the solar
wind (and its history).
A.
Galvin , Institute for the Study of Earth, Oceans, and Space, University
of New Hampshire, makes available a presentation
titled "Solar wind and particles." The Atmospheric
Physics Laboratory, University College London, makes available lecture
notes by A. Aylward on the solar
wind and its interaction
with the planets for a solar
system science course. The U.S.
National Report to International Union of Geodesy and Geophysics, 1991-1994
has a contribution
by K. Ogilvie and M. Coplan titled "Solar wind composition." The 9 March
2001 issue of Science had an Enhanced
Perspective by R. Lundin titled "Erosion by the solar wind." The 16
June 2000 issue had a review
by J. Lyon titled "The solar wind-magnetosphere-ionosphere system."
-
The Education
and Outreach Center of GSFC's Laboratory
for Extraterrestrial Physics defines heliosphere.
The Cosmic and Heliospheric
Learning Center offers a presentation on the heliosphere.
The Ulysses mission Web
site from the European Space Agency (ESA)
provides an introduction to the heliosphere.
H.-R.
M¸ller, Bartol Research Institute, University of Delaware, offers
a presentation on the heliosphere.
The U.S. National Report
to International Union of Geodesy and Geophysics, 1991-1994 has
a contribution
by M. Neugebauer titled "Charting the heliosphere in three dimensions."
The Voyager
Plasma Science Experiment Web site from the MIT
Space Plasma Group offers a presentation
on the heliosphere by W. Axford and S. Suess, as well as a prototype
heliospheric animation. N.
Schwadron, Space Research Laboratory, University of Michigan, offers
a slide
introduction to heliospheric physics. I.
Cairns provides lecture notes on the outer
heliosphere for a course
on solar and space physics.
-
NSSDC
provides a Voyager
Project Information Web site. JPL's Voyager
Project Home Page offers a description
of Voyager's interstellar mission. The MIT
Space Plasma Group maintains a Voyager
Plasma Science Experiment Web site. JPL issued a 2
September 1997 press release titled "Two Voyager spacecraft still going
strong after 20 years" and an 18
December 2000 press release titled "Most distant spacecraft may reach
shock zone soon." Discovery.com
offers a 20
December 2000 article by L. O'Hanlan titled "Voyager 1 heads for interstellar
space."
-
The Cosmic
and Heliospheric Learning Center provides a definition of heliopause.
Stanford Solar Center's glossary
defines heliopause.
The Encyclopædia Britannica, provided by Britannica.com,
includes an introduction to the heliopause
. The Voyager
Plasma Wave Investigation Web site at the University of Iowa makes
available a 1993
NASA press release about Voyager 1 and 2 spacecraft discovering evidence
of the heliopause. The 15
April 1998 issue of Geophysical
Research Letters had an article
by M. Gruntman and H. Fahr titled "Access to the heliospheric boundary:
EUV-echoes from the heliopause" (made available on the Web by the Space
Physics Group at the University of Washington).
-
The Astronomy
Unbound glossary defines interstellar
medium. N. Strobel's Astronomy
notes includes a section on the interstellar
medium. The Education
and Outreach Center of GSFC's Laboratory
for Extraterrestrial Physics provides an introduction to the interstellar
medium. The Experimental Space Plasma
Group, University of New Hampshire, provides a tutorial on the interstellar
medium; a presentation on the local
interstellar medium is included. J.
Schombert, Department of Physics, University of Oregon, provides lecture
notes on the interstellar
medium for a course
on the birth and death of stars. J.
Hawley, Department of Astronomy, University of Virginia, provides lecture
notes on the interstellar
medium for an astronomy
course. E.
Möbius provides lecture
notes (in Adobe Acrobat format) and review
notes on the interstellar medium for an astronomy
course. A. Goodman,
Department of Astronomy, Harvard University, provides lecture
notes (in Adobe Acrobat format) for a course
on the physics of the interstellar medium. JPL's Interstellar
Probe Web site offers a presentation
on the interaction of the interstellar medium with the solar wind. S.
Suess, Solar Physics Group, NASA Marshall Space Flight Center, provides
a presentation on the scientific
objectives of the interstellar probe mission. The online
proceedings Science with the Hubble Space Telescope - II offers
a section of papers on the interstellar
medium that includes a contribution
by R. Lallement et al. titled "The GHRS and the heliosphere." T.
Glover, Department
of Physics and Astronomy, Rice University, offers a presentation
on the 3D mapping of the local interstellar medium.
-
Windows to
the Universe provides an introduction to the solar
cycle. The Space
Physics Textbook includes a section on the solar
cycle. The Encyclopædia Britannica article
on the sun includes a section on sunspots
and solar activity. Sunspots,
a presentation of San Francisco's Exploratorium,
includes a section on the sunspot
cycle. Sunspots and the Solar
Cycle is an educational Web site sponsored by Science@NASA.
The Solar and Astrophysics Laboratory
at the Lockheed Martin Advanced Technology Center presents an introduction
to solar cycles. The Solar
Physics Group, NASA Marshall Space Flight Center, provides an introduction
to the sunspot
cycle. Science@NASA
provides a 15
February 2001 article titled "The sun does a flip."
-
I.
Cairns includes a section on the termination
shock in his lecture
notes on the outer heliosphere. The Proceedings
of the Grand Challenge Computing Science Fair, presented by the
Center
for Advanced Computing Research, California Institute of Technology,
includes a presentation
by P. Liewer, N. Omidi, and Bruce Goldstein titled "Particle simulations
of the solar wind termination shock." Axford and Suess's presentation
on the heliosphere has a section
on the distance to the termination shock. A. Eriksson, Swedish
Institute of Space Physics, Uppsala, offers a presentation
on shock waves titled "The heliosphere in the kitchen sink" for a course
on space physics.
-
The online American
Heritage Dictionary defines nanotesla
and tesla. Nanotesla
and tesla
are defined in the Dictionary
of Units of Measurement, provided by R.
Rowlett, Center for Mathematics and Science Education, University of
North Carolina.
-
J.
Belcher is in the Space Plasma
Group, MIT Center for Space Research,
and at the Department of Physics,
Massachusetts Institute of Technology.
-
NSSDC
provides information about Ulysses,
a joint ESA/NASA mission to study the Sun and solar wind at high latitudes.
JPL
provides a Ulysses Web page.
ESA
provides information about the Ulysses
mission; a presentation
about Ulysses' findings on the heliosphere from the first orbit is provided.
The November 1997 issue of the ESA
Bulletin had an article
by R. Marsden, K.-P. Wenzel, and E. Smith titled "The heliosphere in perspective
-- Key results from the Ulysses mission at solar minimum." The 21 June
1997 issue of the Economist had an article
(made available by Britannica.com)
on the Ulysses mission titled "Space odyssey."
-
Pickup
ion is defined in the glossary
of the interstellar
medium tutorial. The glossary
of the Cosmic and Heliospheric
Learning Center includes a definition of pickup
ions. The U.S. National
Report to International Union of Geodesy and Geophysics, 1991-1994
has a contribution
by P. Isenberg titled "Interstellar pickup ions: Not just theory anymore."
The Solar and Heliospheric
Research Group at the University of Michigan offers a presentation
on cosmic ray transport theory and interstellar pickup ions. I.
Cairns provides a section on interstellar
pickup ions in lecture
notes on kinetic and small-scale solar wind physics.
-
G.
Gloeckler is in the Space
Physics Group , Institute for Physical
Science and Technology, University of Maryland. The Solar
and Heliospheric Research Group at the University of Michigan makes
available a preprint
of a 1998 paper by G.
Gloeckler and J. Geiss titled "Interstellar and inner source pickup ions
observed with SWICS on Ulysses."
-
I.
Cairns includes a section
on radio emissions from the outer heliosphere in his lecture notes on the
outer
heliosphere. Electronic
Publications of the Astronomical Society of Australia had an October
1999 article
by I. Cairns, P. Robinson, and G. Zank. with a section on outer
heliospheric radio emissions.
-
D.
Gurnett and W.
Kurth are in Space
Plasma Wave Group, Department of Physics and Astronomy, University
of Iowa.
-
G.
Zank is at the Bartol Research
Institute, University of Delaware.
-
Lyman-alpha
radiation is defined in the Academic
Press Dictionary of Science and Technology. The xrefer
Web site provides information about the Lyman
series and Theodore Lyman.
The NIGHTGLOW
mission Web site provides a definition of Lyman
alpha radiation. The Geophysical Research
Web page of the Finnish Meteorological Institute
provides a section
about measuring scattered Lyman-alpha radiation in a presentation about
SOHO's SWAN (Solar
Wind ANisotropies) instrument. T.
Herter, Department of Astronomy, Cornell University, provides lecture
notes on the hydrogen
atom's spectral lines for an astronomy
course.
-
NSSDC
provides information on the Pioneer
10 mission. The Pioneer
Project Home Page provides an illustration of the flight
path of Pioneer 10. NASA issued a 1
May 1999 press release titled "Data from Pioneer 10 may determine if
it is still interior the heliopause" as well as a 3
June 2001 Pioneer 10 update. Science@NASA
provides a 3
May 2001 article about Pioneer 10 titled "Seven billion miles and counting...."
-
R.
Mewaldt , Space Radiation Laboratory, California Institute of Technology,
presents an introduction to cosmic
rays. The Space
Physics Textbook includes information on cosmic
rays with a section on anomalous
cosmic rays. The Cosmic
and Heliospheric Learning Center provides a definition of anomalous
cosmic rays as well as a presentation on cosmic
rays with a section on anomalous
cosmic rays. For an online high school course
on cosmic rays, the Centre for
Subatomic Research, University of Alberta, makes available a presentation
by J. Guercio titled "Cosmic rays, high energy phenomena" which has a section
on anomalous
cosmic rays. A.
Cummings, Space Radiation Laboratory, California Institute of Technology,
makes available 1996 preprints of an article
by E. Stone, A. Cummings, and W. Webber titled "The distance to the solar
wind termination shock in 1993 and 1994 from observations of anomalous
cosmic rays" and an article
by Cummings and Stone titled "Composition of anomalous cosmic rays and
implications for the heliosphere."
-
Y.
Whang is in the Department
of Mechanical Engineering, Catholic University of America, Washington,
DC. L. Burlaga
is in the Interplanetary Physics Branch
of the Laboratory for
Extraterrestrial Physics at NASA GSFC. The article
by Whang and Burlaga titled "Anticipated Voyager crossing of the termination
shock" (1) appeared in the 1
June 2000 issue of Geophysical
Research Letters.
-
The Voyager
Cosmic Ray Subsystem Web page at GSFC provides an image
showing the location and trajectories of the Voyager spacecraft. The MIT
Space Plasma Group provides a Voyager
Trajectory Page. The Heavens-Above
Web site, hosted by the German Space
Operations Center, shows the current
positions of the Pioneer and Voyager spacecraft.
-
E.
C. Stone is at Jet Propulsion
Laboratory and the Space Radiation
Laboratory , California Institute of Technology.
Volume
293, Number 5527, Issue of 6 Jul 2001, pp. 55-56.
Copyright
© 2001 by The American Association for the Advancement of Science. |