home *** CD-ROM | disk | FTP | other *** search
- Path: senator-bedfellow.mit.edu!bloom-beacon.mit.edu!newsfeed.stanford.edu!headwall.stanford.edu!newshub.sdsu.edu!news-xfer.cox.net!cox.net!news-hub.cableinet.net!blueyonder!proxad.net!proxad.net!freenix!sn-xit-02!sn-xit-03!sn-xit-01!sn-post-01!supernews.com!corp.supernews.com!not-for-mail
- From: jlazio@patriot.net
- Newsgroups: sci.astro,sci.astro.seti,sci.answers,news.answers
- Subject: [sci.astro] ET Life (Astronomy Frequently Asked Questions) (6/9)
- Approved: news-answers-request@MIT.EDU
- Followup-To: poster
- Date: 07 May 2003 19:37:40 -0400
- Organization: Posted via Supernews, http://www.supernews.com
- Message-ID: <llbryeuy4b.fsf@adams.patriot.net>
- Sender: jlazio@adams.patriot.net
- Summary: This posting addresses frequently asked questions about
- extraterrestrial life and the search for it.
- User-Agent: Gnus/5.0808 (Gnus v5.8.8) Emacs/20.7
- MIME-Version: 1.0
- Content-Type: text/plain; charset=us-ascii
- X-Complaints-To: abuse@supernews.com
- Lines: 1050
- Xref: senator-bedfellow.mit.edu sci.astro:414143 sci.astro.seti:53125 sci.answers:15218 news.answers:251071
-
- Last-modified: $Date: 2003/04/27 01:49:47 $
- Version: $Revision: 4.3 $
- URL: http://sciastro.astronomy.net/
- Posting-frequency: semi-monthly (Wednesday)
- Archive-name: astronomy/faq/part6
-
- ------------------------------
-
- Subject: Introduction
-
- sci.astro is a newsgroup devoted to the discussion of the science of
- astronomy. As such its content ranges from the Earth to the farthest
- reaches of the Universe.
-
- However, certain questions tend to appear fairly regularly. This
- document attempts to summarize answers to these questions.
-
- This document is posted on the first and third Wednesdays of each
- month to the newsgroup sci.astro. It is available via anonymous ftp
- from <URL:ftp://rtfm.mit.edu/pub/usenet/news.answers/astronomy/faq/>,
- and it is on the World Wide Web at
- <URL:http://sciastro.astronomy.net/> and
- <URL:http://www.faqs.org/faqs/astronomy/faq/>. A partial list of
- worldwide mirrors (both ftp and Web) is maintained at
- <URL:http://sciastro.astronomy.net/mirrors.html>. (As a general note,
- many other FAQs are also available from
- <URL:ftp://rtfm.mit.edu/pub/usenet/news.answers/>.)
-
- Questions/comments/flames should be directed to the FAQ maintainer,
- Joseph Lazio (jlazio@patriot.net).
-
- ------------------------------
-
- Subject: F.00 Extraterrestrial Life
-
- [Dates in brackets are last edit.]
-
- F.01 What is life? [1997-09-03]
- F.02 Life in the Solar System
- 02.1 Is there life on Mars? [1996-09-03]
- 02.2 Is there life in Jupiter (or Saturn)? [1996-09-03]
- 02.3 Is there life on Jupiter's moon Europa? [1996-09-03]
- 02.4 Is there life on Saturn's moon Titan? [1997-08-05]
- F.03 What is the Drake equation? [1995-10-04]
- F.04 What is the Fermi paradox? [1995-12-28]
- F.05 Could we detect extraterrestrial life? [1999-09-15]
- F.06 How far away could we detect radio transmissions?
- [2000-07-19]
- F.07 What's a Dyson sphere? [1997-06-04]
- F.08 What is happening with SETI now? [2998-01-31]
- F.09 Why search for extraterrestrial intelligence using radio?
- Why not <fill in the blank> method? [2000-01-01]
- F.10 Why do we assume that other beings must be based on carbon?
- Why couldn't organisms be based on other substances?
- [2001-03-20]
- F.11 Could life occur on an interstellar planet? [2003-04-27]
-
- See also the entry in Section G of the FAQ on the detection of
- extrasolar planets.
-
- ------------------------------
-
- Subject: F.01 What is life?
- Author: T. Joseph W. Lazio <jlazio@patriot.net>
-
- This material is extracted from the review article by Chyba &
- MaDonald (1995, Annual Review of Earth and Planetary Science).
-
- How might we tell if a future mission to another body in the solar
- system had discovered life? How do we separate living from
- non-living? A simple set of criteria for doing so might be,
- Something that is alive must (1) acquire nutrients from its
- environment, (2) respond to stimuli in its environment, and
- (3) reproduce. Unfortunately, with this definition we would conclude
- that mules are not alive while fire is. Other attempts to define
- life---based on genetic, chemical, or thermodynamic criteria---suffer
- from similar failings.
-
- A working definition used by many attempting to understand the origin
- of life on the Earth is something like, "Life is a self-sustained
- chemical system capable of undergoing Darwinian evolution." (Note
- that this definition, *chemical* systems, would exclude computer life
- or A-life, but other definitions exist which would not.) Again this
- definition is not without its difficulties. The emphasis on evolving
- systems implicitly assumes a collection of entities; Victor
- Frankenstein's creation would not have been classified as alive.
- Further, how long must one wait before concluding that a system was
- not evolving? A recent definition that focusses on individual
- entities is that a living organism must be (1) self-bounded, (2)
- self-generating, and (3) self-perpetuating.
-
- Perhaps it is not possible to provide necessary and sufficient
- criteria to distinguish "alive" from "not alive." Indeed, if life can
- arise from natural physical and chemical processes, there may be a
- continuous spectrum of "aliveness," with some entities clearly
- "alive"---humans, trees, dogs---some entities clearly "not
- alive"---rocks, pop bottles---and some entities somewhere in
- between---viruses.
-
- Operationally, at our current stage of exploration of the solar
- system, all of the above definitions are probably too detailed. On
- Earth, we have entities we clearly identify as "alive." Liquid water
- appears to be a requirement for these living things. Hence, the focus
- in solar system studies of life has been to target those bodies where
- liquid water either is possibly now or may have once been present.
-
- ------------------------------
-
- Subject: F.02 Life in the Solar System
-
- Within the past 100--150 years, the conventional wisdom regarding life
- in the solar system (beside the Earth) has been on a roller coaster
- ride. Life on other planets used to be considered likely.
- Suggestions for sending messages to other planets included cutting
- down huge tracts in the Siberian forests or filling and setting afire
- trenches of kerosene in the Sahara. Lowell believed that he could see
- evidence for a civilization on Mars.
-
- During the Space Age the planets were explored with robotic craft.
- The images and other measurements sent back by these craft convinced
- most scientists that only the Earth harbored life.
-
- With even more recent findings, the possibility of life that life
- exists or existed elsewhere in the solar system is now being
- re-examined.
-
- ------------------------------
-
- Subject: F.02.1 Is there life on Mars?
- Author: Steve Willner <swillner@cfa.harvard.edu>
-
- The Viking landers found conditions on the surface of Mars unlikely to
- support life as we know it. The mass spectrometer found too little
- carbon, which is the basis for organic molecules. The chemistry is
- apparently highly oxidizing as well. Some optimists have nevertheless
- argued that there still might be life on Mars, either below the
- surface or in surface regions not sampled by the landers, but most
- scientists consider life on Mars quite unlikely. Evidence of surface
- water suggests, however, that Mars had a wetter and possibly warmer
- climate in the past, and life might have existed then. If so, there
- might still be remnants (either living or fossil) today, but close
- examination will be necessary to find out.
-
- More recently, McKay et al. have invoked biological activity to
- explain a number of features detected in a meteorite from Mars. See
- <URL:http://www.fas.org/mars/> for additional information.
-
- ------------------------------
-
- Subject: F.02.2 Is there life in Jupiter (or Saturn)?
-
- Jupiter (and Saturn) has no solid surface, like the Earth. Rather the
- density and temperature increase with depth. The lack of solid
- surface need not be a deterrent to life, though, as many aquatic
- animals (e.g., fish, jellyfish) never touch a solid surface.
-
- There has been speculation that massive gas-bag organisms could exist
- in Jupiter's atmosphere. These organisms might be something like
- jellyfish, floating upon the atmospheric currents and eating either
- each other or the organic materials formed in Jupiter's atmosphere.
-
- ------------------------------
-
- Subject: F.02.3 Is there life on Jupiter's moon, Europa?
-
- This article is adapted from NASA Press Releases.
-
- In the late 1970's, NASA Voyager spacecraft imaged Europa. Its
- surface was marked by complicated linear features, appearing like
- cracks or huge fractures in the surface. No large craters (more than
- five kilometers in diameter) were easily identifiable. One
- explanation for this appearance is that the surface is a thin ice
- crust overlying water or softer ice and that the linear features are
- fractures in that crust. Galileo images have reinforced the idea that
- Europa's surface is an ice-crust, showing places on Europa that
- resemble ice floes in Earth's polar regions, along with suggestions of
- geyser-like eruptions.
-
- Europa's appearance could result from the stresses of the contorting
- tidal effects of Jupiter's strong gravity (possibly combined with some
- internal heat from decay of radioactive elements). If the warmth
- generated by tidal heating is (or has been) enough to liquefy some
- portion of Europa, then the moon may have environmental niches warm
- and wet enough to host life. These niches might be similar to those
- found near ocean-floor vents on the Earth.
-
- ------------------------------
-
- Subject: F.02.4 Is there life on Saturn's moon Titan?
- Author: T. Joseph W. Lazio <jlazio@patriot.net>
-
- This material is extracted from the review article by Chyba &
- McDonald (1995, Annual Review of Earth and Planetary Science).
-
- Titan's atmosphere is a rich mix of nitrogen and methane, from which
- organic molecules (i.e., those containing carbon, not necessarily
- molecules in living organisms) can be formed. Indeed, there has been
- speculation that Titan's atmosphere resembles that of Earth some 4
- billion years ago. Complex organic chemistry can result from the
- ultraviolet light from the Sun or from charged particle impacts on the
- upper atmosphere. Unfortunately, Titan's great distance from the Sun
- means that the surface temperature is so low that liquid water is
- probably not present globally. Since we believe that liquid water is
- probably necessary for the emergence of life, Titan is unlikely to
- harbor any life. The impact of comets or asteroids on Titan may,
- however, warm the surface enough that any water ice could melt. Such
- "impact pools" could persist for as long as 1 thousand years,
- potentially allowing life-like chemical reactions to occur.
-
- ------------------------------
-
- Subject: F.03 What is the Drake equation?
- Author: John Pike <johnpike@fas.org>, Bill Arnett <billa@znet.com>,
- Steve Willner <swillner@cfa.harvard.edu>
-
- There are various forms of it, but basically it is a means of doing
- boundary calculations for the prevalence of intelligent life in the
- universe. It might take the form of saying that if there are:
-
- X stars in the Galaxy, of which
- Y % have planets, of which
- Z % can support life, on which
- A % intelligent life has arisen, with
- B representing the average duration of civilizations
-
- then you fool around with the numbers to figure out how close on average
- the nearest civilization is. There are various mathematical expressions
- for this formula (see below), and there are variations on how many terms
- the equations include.
-
- The problem, of course, is that some of the variables are easy to pick
- (e.g., stars in the Galaxy), some are under study (e.g., how many
- stars have terrestrial-like planets), and others are just flat-out
- wild guesses (e.g., duration of civilization, where we are currently
- running an experiment to test this here on Terra of Sol).
-
-
- One useful form says the number of detectable civilizations is:
- N = R * fp * ne * fl * fi * fc * L
- where
- R = "the average rate of star formation in the region in question",
- fp = "the fraction of stars that form planets"
- ne = "the average number of planets hospitable to life per star"
- fl = "the fraction of those planets where life actually emerges"
- fi = "the fraction of life-bearing planets where life evolves into
- intelligent beings"
- fc = "the fraction of planets with intelligent creatures capable
- of interstellar communication"
- L = "the length of time that such a civilization remains
- detectable".
-
- (If you want some definition of civilization other than detectability,
- just change your definition of fc and L accordingly.)
-
- Can we provide reasonable estimates for any of the above numbers? The
- "social/biological" quantities are at best speculative and aren't
- appropriate for this newsgroup anyway. (For arguments that they are
- quite small, see biologist Ernst Mayr's article in _Bioastronomy
- News_, Quarter 1995, <URL:http://planetary.org/tps/mayr.html>.) Even
- the "astronomical" numbers, though determinable in principle, have
- considerable uncertainty. Nevertheless, I will attempt to provide
- reasonable estimates. I'll take the "region in question" to be the
- Milky Way Galaxy and consider only cases "similar to" our solar
- system.
-
- For R, I'm going to use only stars with luminosities between half and
- double that of the Sun. Dimmer stars have a very small zone where
- Earth-like temperatures will be found, and more luminous stars have
- relatively short lifetimes. Near the Sun, there are about 4.5E-3 such
- stars in a cubic parsec. I'm only going to consider stars in the
- Galactic disk, which I take to have a scale height of 660 pc and scale
- length of between 5 and 8 kpc. (Stars outside the disk either have
- lower metallicity than the Sun or live in a very different environment
- and may have formed in a different way.) The Sun is about 8 kpc from
- the Galactic center, and thus in a region of lower than maximum star
- density. Putting everything together, there ought to be around 1.4E9
- stars in the class defined. This represents about 1% of the total mass
- of the Galaxy. The age of the Sun is about 4.5E9 years, so the average
- rate of formation R is about 0.3 "solar like stars" per year.
-
- Planets are more problematic, since extrasolar planets cannot generally
- be detected, but it is thought that their formation is a natural and
- indeed inevitable part of star formation. For stars like the Sun, in
- fact, there is either observational evidence or clear theoretical
- justification for every stage of the planet formation process as it is
- currently understood. We might therefore be tempted to take fp=1 (for
- stars in the luminosity range defined), but we have to consider binary
- stars. A second star may disrupt planetary orbits or may somehow
- prevent planets forming in the first place. Because about 2/3 of the
- relevant stars are in binary systems, I'm going to take fp=1/3.
-
- Now we are pretty much out of the range of observation and into
- speculation. It seems reasonable to take ne=1 or even 1.5 on the basis
- of the Solar system (Earth and Mars), but a pessimist could surely take
- a smaller number. You can insert your own values for the probabilities,
- but if we arbitrarily set all of them equal to one
- N <= 0.1 L
- seems consistent with all known data.
-
- A more detailed discussion of interpretation of the Drake equation and
- the factors in it can be found in Issue 5 of SETIQuest.
-
- ------------------------------
-
- Subject: F.04 What is the Fermi paradox?
- Author: John Pike <johnpike@fas.org>,
- Steve Willner <swillner@cfa.harvard.edu>
-
- One of the problems that the Drake Equation produces is that if you take
- reasonable (some would say optimistic) numbers for everything up to the
- average duration of technological civilizations, then you are left with
- three possibilities:
-
- 1. If such civilizations last a long time, "They" should be _here_
- (leading either the the Flying Saucer hypothesis---they are here and
- we are seeing them, or the Zoo Hypothesis---they are here and are
- hiding in obedience to the Prime Directive, which they observe with
- far greater fiqdelity than Captain Kirk could ever muster). -or-
-
- 2. If such civilizations last a long time, and "They" are not "here"
- then it becomes necessary to explain why each and every technological
- civilization has consistently chosen not to build starships. The
- first civilization to build starships would spread across the entire
- Galaxy on a timescale that is short relative to the age of the Galaxy.
- Perhaps they lose interest in space flight and building starships
- because they are spending all their time surfing the net. (Think about
- it---the whole point of space flight is the proposition that there are
- privileged spatial locations, and the whole point of the net is that
- physical location is more or less irrelevant.) -or-
-
- 3. Such civilizations do not last a long time, and blow themselves up
- or otherwise fall apart pretty quickly (... film at 11).
-
- Thus the Drake Equation produces what is called the Fermi Paradox
- (i.e., "Where are They?"), in that the implications of #3 and #2 are
- not terribly encouraging to some folks, but the two flavors of #1 are
- kinda hard to come to grips with.
-
-
- An alternate version of 2 is that interstellar travel is far more
- difficult than we think it is. Right now, it doesn't seem much beyond
- the boundaries of current technology to launch "generation ships," which
- amount to an O'Neill colony plus propulsion and power systems. An
- alternative is robot probes with artificial intelligence; these don't
- seem so difficult either. The Milky Way galaxy is well under 10^5 light
- years in diameter and over 10^9 years old, so even travel beginning
- fairly recently in Galactic history and proceeding well under the speed
- of light ought to have filled the Galaxy by now. (Travel very near the
- speed of light still seems very hard, but such high speed isn't
- necessary to fill the Galaxy with life.) The paradox, then, is that we
- don't observe evidence of anybody besides us.
-
- ------------------------------
-
- Subject: F.05 Could we detect extraterrestrial life?
- Author: Steve Willner <swillner@cfa.harvard.edu>
-
- Yes, although present observations can do so only under optimistic
- assumptions. Radio and optical searches currently underway are aimed
- at detecting "beacons" built by putative advanced civilizations and
- intended to attract attention. More sensitive searches (e.g., Project
- Cyclops) that might detect normal activities of an advanced
- civilization (similar for example to our military radars or TV
- stations) have been proposed but so far not funded. No funding of
- these is likely until the search for beacons is far closer to being
- complete. Why get involved with the difficult until you are done with
- the easy?
-
- Ordinary astronomical observations are most unlikely to detect life.
- The kinds of life we speculate about would be near stars, and the
- light from the star would conceal most signs of life unless a special
- effort is made to look for them.
-
- Within the solar system, the Viking landers found conditions on the
- surface of Mars unlikely to support life as we know it. The mass
- spectrometer found too little carbon, which is the basis for organic
- molecules. The chemistry is apparently highly oxidizing as well.
- Some optimists have nevertheless argued that there still might be
- life on Mars, either below the surface or in surface regions not
- sampled by the landers, but most scientists consider life on Mars
- quite unlikely. Evidence of surface water suggests, however, that
- Mars had a wetter and possibly warmer climate in the past, and life
- might have existed then. If so, there might still be remnants
- (either living or fossil) today, but close examination will be
- necessary to find out.
-
- Other sites that conceivably could have life include the atmosphere
- of Jupiter (and perhaps Saturn) and the presumed liquid water under
- the surface ice of Jupiter's satellite Europa. Organisms living in
- either place would have to be very different from anything we know on
- Earth, and it's hard to know how one would even start to look for
- them.
-
- Concepts for specialized space missions that could detect Earth-like
- planets and return spectral information on their atmospheres have been
- suggested, and either NASA or ESA may launch such a mission some time
- in the next two decades (see
- <URL:http://techinfo.jpl.nasa.gov/www/ExNPS/HomePage.html> and
- <URL:http://ast.star.rl.ac.uk/darwin/>). The evidence for life would
- be detection of ozone (implying oxygen) in the planet's atmosphere.
- While this would be strong evidence for life---oxygen in Earth's
- atmosphere is thought to have come from life---it would not be
- ironclad proof, as there may be some way an oxygen atmosphere could
- form without life.
-
- For more information, see references at the end of F.06. Also, check
- out the SETI Institute Web site at <URL:http://www.seti-inst.edu>.
-
- ------------------------------
-
- Subject: F.06 How far away could we detect radio transmissions?
- Author: Al Aburto <aburto@nosc.mil>,
- David Woolley <david@djwhome.demon.co.uk>
-
- Representative results are presented in Tables 1 and 2. The short
- answer is
- (1) Detection of broadband signals from Earth such as AM radio, FM
- radio, and television picture and sound would be extremely
- difficult even at a fraction of a light-year distant from the
- Sun. For example, a TV picture having 5 MHz of bandwidth and 5
- MWatts of power could not be detected beyond the solar system
- even with a radio telescope with 100 times the sensitivity of the
- 305 meter diameter Arecibo telescope.
-
- (2) Detection of narrowband signals is more resonable out to
- thousands of light-years distance from the Sun depending on the
- transmitter's transmitting power and the receiving antenna size.
-
- (3) Instruments such as the Arecibo radio telescope could detect
- narrowband signals originating thousands of light-years from the
- Sun.
-
- (4) A well-designed 12 ft diameter amateur radio telescope could
- detect narrowband signals from 1 to 100 light-years distance
- assuming the transmitting power of the transmitter is in the
- terawatt range.
-
- What follows is a basic example for the estimation of radio and
- microwave detection ranges of interest to SETI. Minimum signal
- processing is assumed. For example an FFT can be used in the
- narrowband case and a bandpass filter in the broadband case (with
- center frequency at the right place of course). In addition it is
- assumed that the bandwidth of the receiver (Br) is constrained such
- that it is greater than or equal to the bandwidth of the transmitted
- signal (Bt) (that is, Br >= Bt).
-
- Assume a power Pt (watts) in bandwidth Bt (Hz) radiated isotropically.
- At a distance of R (meters), this power will be uniformly distributed
- (reduced) over a sphere of area: 4 * pi * R^2. The amount of this
- power received by an antenna of effective area Aer with bandwidth Br
- (Hz), where Br >= Bt, is therefore:
-
- Pr = Aer * (Pt / (4 * pi * R^2))
-
- If the transmitting antenna is directive (that is, most of the
- available power is concentrated into a narrow beam) with power gain Gt
- in the desired direction then:
-
- Pr = Aer * ((Pt * Gt) / (4 * pi * R^2))
-
- The antenna gain G (Gt for transmitting antenna) is given by the
- following expression. (The receiving antenna has a similar expression
- for its gain, but the receiving antenna's gain is not used explicitly
- in the range equation. Only the effective area, Aer, intercepting the
- radiated energy at range R is required.)
-
- Gt = Aet * (4 * pi / (w^2)), where
-
- Aet = effective area of the transmitting antenna (m^2), and
- w = wavelength (m) the antenna is tuned to.
- f = c / w, where f is the frequency and c is the speed of light.
- c = 2.99792458E+08 (m/sec)
- pi = 3.141592654...
-
- For an antenna (either transmiting or receiving) with circular apertures:
-
- Ae = <eta> * pi * d^2 / 4
-
- <eta>r = efficiency of the antenna,
- d = diameter (m) of the antenna.
-
- The Nyquist noise, Pn, is given by:
-
- Pn = k * Tsys * Br, where
-
- k = Boltzmann's constant = 1.38054E-23 (joule/kelvin)
- Tsys = is the system temperature (kelvins), and
- Br = the receiver bandwidth (hertz).
-
- The signal-to-noise ratio, snr, is given by:
-
- snr = Pr / Pn.
-
- If we average the output for a time t, in order to reduce the variance
- of the noise, then one can improve the snr by a factor of
- sqrt(Br * t). Thus:
-
- snr = Pr * sqrt(Br * t) / Pn.
-
- The factor Br*t is called the "time bandwidth product," of the receive
- processing in this case, which we'll designate as:
-
- twp = Br * t.
-
- We'll designate the integration or averaging gain as:
-
- twc = sqrt(twp).
-
- Integration of the data (which means: twp = Br * t > 1, or
- t > (1 / Br) ) makes sense for unmodulated "CW" signals that are
- relatively stable over time in a relatively stationary (steady) noise
- field. On the other hand, integration of the data does not make
- sense for time-varying signals since this would distroy the
- information content of the signal. Thus for a modulated signal
- twp = Br * t = 1 is appropriate.
-
- In any case the snr can be rewritten as:
-
- snr = (Pt * Gt) * Aer * twc / (4 * pi * R^2 * Br * k * Tsys)
-
- Pt * Gt is called the Effective Isotropic Radiated Power (EIRP) in
- the transmitted signal of bandwidth Bt. So:
-
- EIRP = Pt * Gt, and
-
- snr = EIRP * Aer * twc / (4 * pi * R^2 * Br * k * Tsys)
-
- This is a basic equation that one can use to estimate SETI detection
- ranges.
-
- #######################################################################
- # If Rl is the number of meters in a light year (9.46E+15 [m/LY]), #
- # then the detection range in light years is given by #
- # #
- # R = sqrt[ EIRP * Aer * twc / (4 * pi * snr * Br * k * Tsys) ] / Rl #
- # #
- # If we wanted the range in Astronomical Units then replace Rl #
- # with Ra = 1.496E+11 (m/AU). #
- #######################################################################
-
- Note that for maximum detection range (R) one would want the transmit
- power (EIRP), the area of the receive antenna (Aer), and the time
- bandwidth product (twp) to be as big as possible. In addition one
- would want the snr, the receiver bandwidth (Br), and thus transmit
- signal bandwidth (Bt), and the receive system temperature (Tsys) to be
- as small as possible.
-
- (There is a minor technical complication here. Interstellar space
- contains a plasma. Its effects on a propagating radio wave including
- broadening the bandwidth of the signal. This effect was first
- calculated by Drake & Helou and later by Cordes & Lazio. The
- magnitude of the effect is direction, distance, and frequency
- dependent, but for most lines of sight through the Milky Way a typical
- value might be 0.1 Hz at a frequency of 1000 MHz. Thus, bandwidths
- much below this value are unnecessary because there will be few, if
- any, signals with narrower bandwidths.)
-
- Now we are in a position to carry out some simple estimates of
- detection range. These are shown in Table 1 for a variety of radio
- transmitters. We'll assume the receiver is similar to Arecibo, with
- diameter dr = 305 m and an efficiency of 50% (<eta>r = 0.5). We'll
- assume snr = 25 is required for detection (The META project used a snr
- of 27--33 and SETI@home uses 22; more refined signal processing might
- yield increased detection ranges by a factor of 2 over those shown in
- the Table 1.) We'll also assume that twp = Br * Tr = 1. An
- "educated" guess for some of the parameter values, Tsys in particular,
- was taken as indicated by the question marks in the table. As a
- reference note that Jupiter is 5.2 AU from the Sun and Pluto 39.4 AU,
- while the nearest star to the Sun is 4.3 LY away. Also any signal
- attenuation due to the Earth's atmosphere and ionosphere have been
- ignored; AM radio, for example, from Earth, is trapped within the
- ionosphere.
-
- The receive antenna area, Aer, is
-
- Aer = <eta>r * pi * dr^2 / 4 = 36.5E3 m^2.
-
- (Scientific notation is being used here; 1E1 = 10, 1E2 = 100, 1E3 =
- 1000, so 36.5E3 is 36.5 times 1000.) Hence the detection range (light
- years) becomes
-
- R = 3.07E-04 * sqrt[ EIRP / (Br * Tsys) ].
-
- Table 1 Detection ranges of various EM emissions from Earth and the
- Pioneer spacecraft assuming a 305 meter diameter circular
- aperture receive antenna, similar to the Arecibo radio
- telescope. Assuming snr = 25, twp = Br * Tr = 1, <eta>r =
- 0.5, and dr = 305 meters.
- -------------+--------------+-----------+--------+--------+-----------+
- Source | Frequency | Bandwidth | Tsys | EIRP | Detection |
- | Range | (Br) |(Kelvin)| | Range (R) |
- -------------+--------------+-----------+--------+--------+-----------+
- AM Radio | 530-1605 kHz | 10 kHz | 68E6 | 100 KW | 0.007 AU |
- -------------+--------------+-----------+--------+--------+-----------+
- FM Radio | 88-108 MHz | 150 kHz | 430 | 5 MW | 5.4 AU |
- -------------+--------------+-----------+--------+--------+-----------+
- UHF TV | 470-806 MHz | 6 MHz | 50 ? | 5 MW | 2.5 AU |
- Picture | | | | | |
- -------------+--------------+-----------+--------+--------+-----------+
- UHF TV | 470-806 MHz | 0.1 Hz | 50 ? | 5 MW | 0.3 LY |
- Carrier | | | | | |
- -------------+--------------+-----------+--------+--------+-----------+
- WSR-88D | 2.8 GHz | 0.63 MHz | 40 | 32 GW | 0.01 LY |
- Weather Radar| | | | | |
- -------------+--------------+-----------+--------+--------+-----------+
- Arecibo | 2.380 GHz | 0.1 Hz | 40 | 22 TW | 720 LY |
- S-Band (CW) | | | | | |
- -------------+--------------+-----------+--------+--------+-----------+
- Arecibo | 2.380 GHz | 0.1 Hz | 40 | 1 TW | 150 LY |
- S-Band (CW) | | | | | |
- -------------+--------------+-----------+--------+--------+-----------+
- Arecibo | 2.380 GHz | 0.1 Hz | 40 | 1 GW | 5 LY |
- S-Band (CW) | | | | | |
- -------------+--------------+-----------+--------+--------+-----------+
- Pioneer 10 | 2.295 GHz | 1.0 Hz | 40 | 1.6 kW | 120 AU |
- Carrier | | | | | |
- -------------+--------------+-----------+--------+--------+-----------+
-
- It should be apparent then from these results that the detection of AM
- radio, FM radio, or TV pictures much beyond the orbit of Pluto will be
- extremely difficult even for an Arecibo-like 305 meter diameter radio
- telescope! Even a 3000 meter diameter radio telescope could not
- detect the "I Love Lucy" TV show (re-runs) at a distance of 0.01
- Light-Years!
-
- It is only the narrowband high intensity emissions from Earth
- (narrowband radar generally) that will be detectable at significant
- ranges (greater than 1 LY). Perhaps they'll show up very much like
- the narrowband, short duration, and non-repeating, signals observed by
- our SETI telescopes. Perhaps we should document all these
- "non-repeating" detections very carefully to see if any long term
- spatial detection patterns show up.
-
- Another question to consider is what an Amateur SETI radio telescope
- might achieve in terms of detection ranges using narrowband FFT
- processing. Detection ranges (LY) are given in Table 2 assuming a 12
- ft (3.7 m) dish antenna operating at 1.42 GHz, for various FFT
- binwidths (Br), Tsys, snr, time bandwidth products (twp = Br*t), and
- EIRP values. It appears from the table that effective amateur SETI
- explorations can be conducted out beyond approximately 30 light years
- provided the processing bandwidth is near the minimum (approximately
- 0.1 Hz), the system temperature is minimal (20 to 50 Degrees Kelvin),
- and the EIRP of the source (transmitter) is greater than approximately
- 25 terawatts.
-
-
- Table 2 Detection ranges (LY) for a 12 foot diameter amateur
- radio telescope SETI system, operating at 1.420 GHz.
- +-------------------------------+
- | EIRP |
- +-------+--------+------+-------+
- | 100TW | 25TW | 1TW | 100GW |
- -------+-------+----------+------+-------+--------+------+-------+
- Br | Br*t | Tsys | snr | Detection Range |
- (Hz) | | (kelvin) | | (LY) |
- -------+-------+----------+------+-------+--------+------+-------+
- 0.1 | 2 | 50 | 25 | 28 | 17 | 3.4 | 1.1 |
- -------+-------+----------+------+-------+--------+------+-------+
- 0.1 | 1 | 50 | 25 | 20 | 12 | 2.4 | 0.76 |
- -------+-------+----------+------+-------+--------+------+-------+
- 0.5 | 2 | 50 | 25 | 12.7 | 6.4 | 1.3 | 0.4 |
- -------+-------+----------+------+-------+--------+------+-------+
- 0.5 | 1 | 50 | 25 | 9 | 4.5 | 0.9 | 0.3 |
- -------+-------+----------+------+-------+--------+------+-------+
- 0.1 | 20 | 50 | 25 | 90 | 54 | 11 | 3.4 |
- -------+-------+----------+------+-------+--------+------+-------+
- 1.0 | 200 | 50 | 25 | 90 | 54 | 11 | 3.4 |
- -------+-------+----------+------+-------+--------+------+-------+
-
-
- REFERENCES:
- Radio Astronomy, John D. Kraus, 2nd edition, Cygnus-Quasar
- Books, 1986, P.O. Box 85, Powell, Ohio, 43065.
-
- Radio Astronomy, J. L. Steinberg, J. Lequeux, McGraw-Hill
- Electronic Science Series, McGraw-Hill Book Company, Inc,
- 1963.
-
- Project Cyclops, ISBN 0-9650707-0-0, Reprinted 1996, by the
- SETI League and SETI Institute.
-
- Extraterrestrial Civilizations, Problems of Interstellar
- Communication, S. A. Kaplan, editor, 1971, NASA TT F-631
- (TT 70-50081), page 88.
-
-
- ------------------------------
-
- Subject: F.07 What's a Dyson spheres?
- Author: Anders Sandberg <nv91-asa@nada.kth.se>
-
- Freeman Dyson noted that one of the limiting resources for
- civilizations is the amount of energy they can harness. He proposed
- that an advanced civilization could harness a substantial fraction of
- its sun's energy by enclosing the star in a shell which would capture
- most of the radiation emitted by the star. That energy could then be
- used to do work.
-
- As originally proposed a Dyson sphere consisted of many solar
- collectors in independent orbits. Many science fiction writers have
- modified the idea to make a Dyson sphere one complete shell. In
- addition to capturing all of the available energy from the star, such
- a shell would have a huge surface area for living space. While
- Dyson's original proposal of a number of solar collectors is stable,
- this later idea of a complete shell is not stable. Without some
- stablizing mechanism, even small forces, e.g., a meteor hit, would
- cause the shell to drift and eventually hit the star. Also, the
- stresses on a complete shell Dyson sphere are huge and no known
- material has enough strength to be used in the construction of such a
- shell.
-
- There have been searches for Dyson spheres. Such searches typically
- take place in the infrared. Because the shell is trapping energy from
- the star, it will begin to heat up. At some point it will radiate as
- much energy as it receives from the star. For a Dyson sphere with a
- radius about the radius of Earth's orbit, most of the radiation
- emitted by the shell should be in the infrared. Thus far, no search
- has been successful.
-
- Considerably more discussion of Dyson spheres is in the Dyson sphere
- FAQ, <URL:http://www.student.nada.kth.se/~nv91-asa/dysonFAQ.html>.
-
- ------------------------------
-
- Subject: F.08 What is happening with SETI now?
- Author: Larry Klaes <larryk@cambridge.village.com>
-
- Some of the following material is from SETIQuest Magazine, copyright
- Helmers Publishing, and used by permission.
-
- Project BETA (Billion-channel ExtraTerrestrial Assay) is a radio
- search begun 1995 October 30. It is sponsored by the Planetary
- Society and is an upgraded version of Project META (Million...).
- (Actually META I; see below for META II.) META I/BETA's observatory
- is the 26-meter radio antenna at Harvard, Massachusetts. Their Web
- site is <URL:http://planetary.org/BETA/>.
-
- META II uses a 30-meter antenna at the Argentine Institute for Radio
- Astronomy, near Buenos Aires, Argentina, and provides coverage of the
- southern sky. <URL:http://seti.planetary.org/META2/>
-
- META I/II monitored 8.4 million channels at once with a spectral
- resolution of 0.05 Hz, an instantaneous bandwidth of 0.4 MHz, a total
- frequency coverage of 1.2 MHz, a maximum sensitivity of 7x10^-24 W m^-2,
- and a combined sky coverage of 93 percent. After five years of
- observations from the northern hemisphere and observing 6x10^13
- different signals, META I found 34 candidates, or "alerts".
- Unfortunately, the data are insufficient to determine their real origin.
- Interestingly, the observed signals seem to cluster near the galactic
- plane, where the major density of Milky Way stars dwell. META II, after
- three years of observations and surveying the southern hemisphere sky
- almost three times, found nineteen signals with similar characteristics
- to the META I results. META II has also observed eighty nearby, main
- sequence stars (less than fifty light years from the Sun) that have the
- same physical characteristics as Earth's star. These observations were
- performed using the tracking mode for periods of one hour each at two
- different epochs.
-
- On 1992 October 12, NASA began its first SETI program called
- HRMS---High-Resolution Microwave Survey. Unfortunately for all,
- Congress decided the project was spending way too much money---even
- though it received less funds per year than your average big league
- sports star or film actor---and cut all money to NASA for SETI work.
- This act saved our national deficit by all of 0.0002 percent.
-
- Fortunately, NASA SETI was saved as a private venture called Project
- Phoenix and run by The SETI Institute. It operates between 1.0 and
- 3.2 GHz with 1 Hz resolution and 2.8E7 channels at a time. Rather
- than trying to scan the entire sky, this survey focusses on
- approximately 1000 nearby stars. They began observations in 1995
- February using the Parkes 64 m radio telescope in New South Wales,
- Australia, and have since moved to the 42 m radio telescope in Green
- Bank, West Virginia. After completing about 1/3 of their targets,
- they had found no evidence of ET transmissions. More details are in
- SETIQuest issue 3 and at the Project Phoenix home page
- <URL:http://www.seti-inst.edu/phoenix/Welcome.html>. The Web site has
- lots of general information about SETI as well as details of the
- survey.
-
- Since 1973, Ohio State University had conducted a radio search with a
- telescope consisting of a fixed parabolic reflector and a tiltable
- flat reflector, each about 110 m wide and 30 m high. Information is
- available at <URL:http://everest.eng.ohio-state.edu/~klein/ro/> or a
- longer version in SETIQuest issue 3. The "wow!" signal, detected in
- 1977, had the appearance of an extraterrestrial signal but was seen
- only briefly and never repeated. However, the Ohio State University
- administration decided to let the landlord who owns the property on
- which Big Ear resides tear down the radio telescopes and put up condos
- and a golf course instead. OSU SETI is considering its next step,
- Project Argus, at an undetermined location.
-
- The UC Berkeley SETI Program, SERENDIP (Search for Extraterrestrial
- Radio Emissions from Nearby Developed Intelligent Populations) is an
- ongoing scientific research effort aimed at detecting radio signals
- from extraterrestrial civilizations. The project is the world's only
- "piggyback" SETI system, operating alongside simultaneously conducted
- conventional radio astronomy observations. SERENDIP is currently
- piggybacking on the 300 m dish at Arecibo Observatory in Puerto Rico,
- the largest radio telescope in the world. Information at
- <URL:http://albert.ssl.berkeley.edu/serendip/>, from which this
- paragraph was extracted. SERENDIP operates at 430 MHz; more
- information is given in SETIQuest issue 3.
-
- Project BAMBI is an amateur SETI effort operating at a radio frequency
- of 4 GHz. See SETIQuest issue 5 and
- <URL:http://wbs.net/sara/bambi.htm> for status reports.
-
- The Columbus Optical SETI Observatory uses visible light instead of
- radio waves. The COSETI Observatory is a prototype observatory
- located in Bexley, Ohio, USA. Telescope aperture size is 30 cm. More
- information in SETIQuest issue 4 and at <URL:http://www.coseti.org/>.
- Much of the work on "Optical SETI" comes from Dr. Stuart A. Kingsley
- <skingsle@magnus.acs.ohio-state.edu>, who also maintains BBS on
- Optical SETI.
-
- The Planetary Society maintains a list of online SETI-related material
- at <URL:http://seti.planetary.org/>.
-
- And of course SETIQuest magazine, Larry Klaes, Editor. For
- subscription or other information, contact Helmers Publishing, 174
- Concord Street, Peterborough, NH 03458-0874. Phone (603) 924-9631,
- FAX (603) 924-7408, Internet: sqinqnet@pixelacres.mv.com or see
- <URL:http://www.setiquest.com/>.
-
-
- Other references:
-
- Frank Drake, Dava Sobel, Is Anyone Out There: The Scientific
- Search For Extraterrestrial Intelligence, 1992, Delacorte
- Press, ISBN 0-385-30532-X.
-
- Frank White, The SETI Factor, 1990, Walker Publishing Company,
- Inc., ISBN 0-8027-1105-7.
-
- Donald Goldsmith and Tobias Owen, The Search For Life in the
- Universe, Second Edition, 1992, Addison-Wesley Publishing
- Company, Inc., ISBN 0-201-56949-3.
-
- Walter Sullivan, We Are Not Alone: The Continuing Search for
- Extraterrestrial Intelligence, 1993, Dutton, ISBN
- 0-525-93674-2.
-
- G. Seth Shostak, Editor, Progress In The Search For
- Extraterrestrial Life, 1993 Bioastronomy Symposium, Santa
- Cruz, California, 16--20 August 1993. Published in 1995 by The
- Astronomical Society of the Pacific (ASP). ISBN 0-937707-93-7.
-
- The journals Icarus, <URL:http://astrosun.tn.cornell.edu/Icarus/>, and
- Astronomy & Geophysics often feature papers concerning SETI.
-
- ------------------------------
-
- Subject: F.09 Why search for extraterrestrial intelligence using
- radio? Why not <fill in the blank> method?
- Author: Joseph Lazio <jlazio@patriot.net>
-
- There are two possibilities for sending information to other
- technological civilizations over interstellar distances: send matter
- or send radiation. The focus in SETI has been on detecting
- electromagnetic radiation, particularly radio, because compared to all
- other known possibilities, it is cheap, easy to produce, and can
- travel across the Milky Way Galaxy.
-
- Compared to radiation, most matter has a distinct disadvantage: it is
- slow. Radiation can travel at the speed of light whereas (most)
- matter is constrained to travel slower. Distances between stars are
- so large, it makes no sense to use a slow mode of communication when a
- faster one is available. The speed at which spacecraft travel is the
- primary justification why there is little effort spent within the SETI
- community searching for interstellar spacecraft (that and the fact
- that there is no evidence that there are any such interstellar
- spacecraft from other civilizations in our vicinity). A secondary
- justification is that spacecraft are relatively expensive. The launch
- of a single Earth-orbiting spacecraft can cost US $100 million. It
- is difficult to imagine building and launching a fleet of interstellar
- spacecraft for US $500 million, yet this is the estimated cost of a
- next-generation radio telescope capable of detecting TV signals over
- interstellar distances. It is possible that future technology will
- make spacecraft cheaper. It is difficult to imagine a technology that
- would make spacecraft cheaper without also lowering the cost of a new
- telescope.
-
- Although chunks of matter, i.e., spacecraft, seem a rather inefficient
- way to communicate across interstellar space, what about a beam of
- matter. Most often suggested in this context is a beam of neutrinos.
- Neutrinos are nearly massless so they travel at almost the speed of
- light. They also interact only weakly with matter, so a beam of
- neutrinos could cross the Milky Way Galaxy without any significant
- absorption by interstellar gas and dust clouds. This advantage is
- also a disadvantage: The weakness of their interaction makes it
- difficult to detect a beam of neutrinos, far more difficult than
- detecting a beam of electromagnetic radiation.
-
- (A beam of electrons or protons could be accelerated to nearly the
- speed of light and would be far easier to detect. However, electrons
- and protons are charged particles. When travelling through
- interstellar space, the direction of their travel is influenced by the
- magnetic field of the Milky Way Galaxy. The Milky Way's magnetic
- field has "small-scale" irregularities in it that would divert and
- scatter such a beam. The result is that one could not "aim" such a
- beam in any particular direction [except possibly to the very closest
- stars] because its actual path would be influenced by the [unknown]
- direction[s] of the magnetic field it would encounter.)
-
- The known forms of radiation are electromagnetic and gravitational.
- Electromagnetic radiation results from the acceleration of charged
- particles and is used commonly: Radio and TV broadcasts are radio
- radiation, microwave ovens produce microwave radiation, X-ray machines
- produce X-ray radiation, overhead lights produce visible radiation,
- etc. Gravitational radiation results from the acceleration of massive
- objects. Gravitational radiation has never been detected directly,
- and its indirect detection resulted in the 1993 Nobel Prize. Gravity is
- a much weaker force than electromagnetism. Thus, detectable amounts
- of gravitational radiation result only from events like the explosion
- of a massive star or the gravitational interaction between two closely
- orbiting neutron stars or black holes. Again, it is possible that a
- future technology might result in gravitational radiation becoming
- easier to detect. It is still difficult to imagine that it would not
- also result in electromagnetic radiation.
-
- Of the various forms of electromagnetic radiation---radio, microwave,
- infrared, visible, ultraviolet, X-ray, and gamma-ray---only radio and
- gamma-ray can cross the Milky Way Galaxy. The other forms suffer
- varying amounts of absorption by interstellar dust and gas clouds
- (though they could still be used to communicate over shorter
- distances). Gamma rays are extremely energetic and are produced by
- events like the explosion of nuclear bombs. Radio radiation is far
- less energetic. Thus, to send the same amount of information requires
- far less energy (i.e., it's cheaper) to send it via radio than gamma
- ray.
-
- The above are merely plausibility arguments to suggest why radio is
- likely to be a preferred method of communication among technological
- civilizations. Of course, they may reason that they are only
- interested in communicating with other civilizations technologically
- advanced enough to transmit and detect neutrino beams or gravitational
- radiation (or maybe even some undiscovered method). If so, the
- existing radio SETI programs are doomed to failure. Nonetheless, it
- does seem sensible to search first using the most simple technology.
-
- ------------------------------
-
- Subject: F.10 Why do we assume that other beings must be based on
- carbon? Why couldn't organisms be based on other substances?
- Author: Joseph Lazio <jlazio@patriot.net>
-
- [A portion of this entry is based on a lecture by Alain Leger (IAS) at
- the SPIE Astronomical Telescopes and Instrumentation 2000 Conference.]
-
- As far as SETI, the search for extraterrestrial intelligence, is
- concerned, we do not assume that other being must be based on carbon.
- In fact, SETI is a bit of a misnomer. We are searching for
- extraterrestrial *technological* intelligences, technological
- intelligences capable of broadcasting their existence over
- interstellar distances. Whether the technological civilizations is
- based on carbon or some other substance is largely irrelevant. (Of
- course, one might worry that intelligences based on some substance
- other than carbon might have such different perspectives on the
- Universe that, even if they broadcast electromagnetic radiation, they
- would do so in a fashion that we would never consider.)
-
- However, when one moves to finding life on other bodies in the solar
- system or traces of life on extrasolar planets, there is a definite
- carbon chauvinism in our thinking. The most commonly mentioned
- alternate to carbon (C) is silicon (Si). It has similar chemical
- properties as C, lying just below C in the periodic table of the
- elements.
-
- Carbon chauvinism has arisen because C is able to form quite
- complicated molecules, in part because its atomic structure is such
- that C can bond with up to four other elements. Not only can it bond
- with up to four other elements, but C can form multiple bonds with
- other elements, particularly itself. (Atoms bond by sharing
- electrons, when two atoms share more than one electron they have a
- multiple bond. For instance, water is formed by an oxygen atom
- sharing the two electrons from two hydrogen atoms. In contrast, there
- are many C compounds in which a single C atom shares multiple
- electrons with other atom.)
-
- A clear indication of the versatility of C is found in interstellar
- chemistry. Interstellar chemistry typically occurs on the surface of
- microscopic dust grains contained with large clouds of gas between the
- stars. The physical conditions are much different than anything on
- the surface of a habitable planet. Nonetheless, of the molecules
- identified in interstellar space as of 1998, 84 are based on C and 8
- are based on Si. Moreover of the eight Si-based compounds, 4 also
- include C.
-
- Thus, while there is definitely a C bias in our thinking, there is at
- least some evidence from Nature supporting this bias.
-
- ------------------------------
-
- Subject: F.11 Could life occur on an interstellar planet?
- Author: Joseph Lazio <jlazio@patriot.net>
-
- This question has taken on increased importance with the discovery of
- giant planets close to their primary stars. It is thought that these
- giant planets did not form this close to their host stars but
- migrated. (See the FAQ entry on the formation of the solar system.)
- In general, the possibility of migration has alerted (or re-awakened)
- astronomers to the possibility that a planetary system can change over
- time. If a giant planet migrates inward from the position at which it
- formed, it can scatter terrestrial planets. These terrestrial planets
- might plunge into the host star or be kicked into interstellar space.
- (Another possibility, though probably even less likely, is for a
- passing star to disrupt a planetary system.)
-
- What would happen if the Earth were kicked into interstellar space?
- Life on the surface would certainly be doomed as it gets its energy to
- survive from the Sun. In fairly short order, the oceans would freeze
- over. However, the Earth is still generating heat by radioactive
- decay in its interior. Some of this heat leaks out through
- hydrothermal vents on the floors of the oceans. Thus, the lower
- levels of the oceans would remain liquid, and the hydrothermal vents
- would remain active. Organisms that depend only on the hydrothermal
- vents could survive probably quite happily for several billion years
- after the Earth was ejected from the solar system. (Indeed, since the
- oceans will probably boil away in the next few billion years as the
- Sun's luminosity increases, these organisms might prefer the Earth to
- be ejected into interstellar space!)
-
- For additional reading see "The Frozen Earth" by Adams & Laughlin,
- <URL:
- http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1999AAS...194.1511A
- > and Stevenson, "Life-sustaining planets in interstellar space?",
- Nature, v. 400, 1 Jul 1999, p. 32.
-
-
- ------------------------------
-
- Subject: Copyright
-
- This document, as a collection, is Copyright 1995--2003 by T. Joseph
- W. Lazio (jlazio@patriot.net). The individual articles are copyright
- by the individual authors listed. All rights are reserved.
- Permission to use, copy and distribute this unmodified document by any
- means and for any purpose EXCEPT PROFIT PURPOSES is hereby granted,
- provided that both the above Copyright notice and this permission
- notice appear in all copies of the FAQ itself. Reproducing this FAQ
- by any means, included, but not limited to, printing, copying existing
- prints, publishing by electronic or other means, implies full
- agreement to the above non-profit-use clause, unless upon prior
- written permission of the authors.
-
- This FAQ is provided by the authors "as is," with all its faults.
- Any express or implied warranties, including, but not limited to, any
- implied warranties of merchantability, accuracy, or fitness for any
- particular purpose, are disclaimed. If you use the information in
- this document, in any way, you do so at your own risk.
-