Multiplexer: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
→‎Cost savings: One cannot have a (singular) savings (plural)
Line 1: Line 1:
{{Infobox spaceflight
Nowadays, Nike Air Max 2011 has been introduced into the market as the third generation of Nike Air Max shoes.<br>However, as a matter of fact, only after a long time from the introduction of these new shoes, people begin to pay certain attention to them. [http://www.futurecol.co.nz/assets/cheap-nike.asp nike running] The acknowledged model among all Nike excellent sports shoes should refer to Nike Air Max 2009 which deserves to be a typical example as a kind of great and popular running shoes.<br><br>The leather and mesh adopted as material in uppers of air max 2009 make these shoes breathable and light. The heel of these shoes is made up of polyurethane and max air cushion which can be seen. Thus it is fair to say that Nike Air Max 2009 shoes are classic ones among all Nike shoes.<br><br>We also need to mention Nike Air Max classic BW shoes which are considered as one of the greatest products in the world of sports shoes when it comes to the wonderful running shoes. with these shoes on feet, you will feel the excellence of their various functions.<br><br>A large [http://Data.Gov.uk/data/search?q=majority majority] of people in the entire world all suppose that Nike designer Air Max shoes can be treated as one of the greatest running shoes in the sports market. Surf on the internet, and there you can learn about more details of these shoes.<br>As to Nike designer Air Max 2011 shoes; they are wonderful sports sneakers, too. They are sure to make the wearers shoes better performance when doing sports and bring them fashion, comfort as well as much capacity. I also would like to spare some time on the internet to seek for some comments about designer Nike Air Max 2011.<br><br>According to all the reviews, wearing air max 2011 shoes, your feet would enjoy great comfort, and in fact, these shoes have won much favor and praise from most people. Then I was driven by these positive comments and also attempted to buy a pair of air max shoes to have a try.<br>These shoes turn to be cheap and great, and this makes me very satisfied. These shoes are absolutely worthy our any cost.<br><br>It is known to us that the family of Nike Air Max series include many members such as Nike Air Max 87, Nike Air Max 91, Nike Air Max 95, Nike Air Max 2009, Nike Air Max LTD, Nike Air Max skyline and so on. Among all the above models of air max shoes, every one will illustrate your personality and good taste to the largest extent.<br>As for Nike designer Air Max 91; we can infer its producing year from its name, i.e., the year of 1991. If you expect to get a pair of satisfying running shoes, then, from my point of view, you'd better buy designer Air Max 91 shoes. People who like breathable shoes can pay extra attention to the cheap air max 2011 shoes which will surly their wise choice.<br><br>All these shoes are endowed with a visual landmark, great cushion and strong stability.<br>800x600 Normal 0 7.8 � 0 2 false false false EN-US ZH-CN X-NONE MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable mso-style-name:n
| name                  = Mariner 1
| image                = Atlas Agena with Mariner 1.jpg
| image_caption        = Launch of Mariner 1
 
| mission_type          = Venus flyby
| operator              = [[NASA]] / [[Jet Propulsion Laboratory|JPL]]
| mission_duration      = 4 minutes, 53 seconds<br/>Failed to orbit
 
| spacecraft_type      = [[Mariner program|Mariner]]{{citation needed|date=September 2013}}<!--for this being a type of spacecraft as well as/rather than a programme--><br><small>based on [[Ranger program|Ranger]] Block I</small>
| manufacturer          = [[Jet Propulsion Laboratory]]
| dry_mass              =
| launch_mass          = {{convert|202.8|kg|lb}}
| power                = 220 watts (at Venus encounter)
 
| launch_date          = {{start-date|July 22, 1962, 09:21:23|timezone=yes}} UTC
| launch_rocket        = [[Atlas-Agena|Atlas LV-3 Agena-B]]
| launch_site          = [[Cape Canaveral Air Force Station|Cape Canaveral]] [[Cape Canaveral Air Force Station Launch Complex 12|LC-12]]
| launch_contractor    =
}}
 
'''Mariner 1''' was the first spacecraft of the American [[Mariner program]]. A [[range safety officer]] ordered its destructive abort at 09:26:16 UT, 294.5 seconds after it was launched on July 22, 1962 as a [[Venus]] [[Planetary flyby|flyby]] mission.<ref>
{{cite web | url = http://select.nytimes.com/gst/abstract.html?res=FB0A16F63C59137B93C1AB178CD85F468685F9 | title = Venus Shot Fails as Rocket Strays | publisher = [[New York Times]] | date = 1962-07-23 | format = fee required | accessdate = 2009-02-14}}</ref>
According to NASA's current account for the public:
 
:The booster had performed satisfactorily until an unscheduled yaw-lift (northeast) maneuver was detected by the range safety officer. Faulty application of the guidance commands made steering impossible and were directing the spacecraft towards a crash, possibly in the North Atlantic [[shipping lanes]] or in an inhabited area. The destruct command was sent 6 seconds before separation, after which the launch vehicle could not have been destroyed. The radio transponder continued to transmit signals for 64 seconds after the destruct command had been sent.<ref>{{cite web | url = http://nssdc.gsfc.nasa.gov/nmc/spacecraftDisplay.do?id=MARIN1 | title = Mariner 1 | publisher = [[NASA]] | date = 2008-08-05 | version = 4.0.8 | accessdate = 2009-02-14}}</ref>
 
What NASA's website describes as "improper operation of the Atlas airborne beacon equipment" caused the booster to lose contact with one of the [[guidance systems]] on the ground, setting the stage for an apparent software-related guidance system failure.  The role of software error in the launch failure remains somewhat mysterious in nature, shrouded in the ambiguities and conflicts among (and in some accounts, even within) the various accounts, official and otherwise. Mariner&nbsp;1 was launched by an [[Atlas-Agena]] rocket.
 
The probe's mission was later completed by [[Mariner 2]]. The cryptic nature of the problems that led to the decision to abort Mariner&nbsp;1, as well as the confusion in various reports on the incident, gave rise to an [[urban legend]] of sorts. Indirectly, this confusion also contributed to some software-engineering folklore about the role of supposed [[Fortran]] code in the guidance systems.  This folklore persisted at least as late as 2006, despite a lack of evidence that Fortran was even in use for real-time guidance computations for the Mariner missions. Many accounts, instead, note a "missing hyphen" when a weak radio-guidance signal triggered the rare use of error-recovery software which lacked a hyphen in an equation, causing miscalculation or truncation of the remainder of the equation, which then pointed the rocket downward.
 
==Spacecraft and subsystems==
{{Unreferenced section|date=May 2011}}
 
The Mariner 1 spacecraft was identical to Mariner 2, launched 27 August 1962. Mariner 1 consisted of a [[hexagonal]] base, {{convert|1.04|m|ft|2|sp=us|abbr=~|sp=us}} across and {{convert|abbr=on|0.36|m|ft|adj=mid|thick|1}}, which contained six [[magnesium]] chassis housing the electronics for the science experiments, communications, data encoding, computing, timing, and [[attitude control]] and the power control, battery, and battery charger, as well as the attitude control gas bottles and the rocket engine. On top of the base, was a tall [[pyramid]]-shaped mast on which the science experiments were mounted which brought the total height of the spacecraft to {{convert|abbr=on|3.66|m|ft|1}}. Attached to either side of the base were rectangular [[Photovoltaic module|solar panel]] wings with a total span of 5.05 meters and width of 0.76 meters ({{convert|abbr=on|5.05|x|0.76|m|ft|disp=out}}). Attached by an arm to one side of the base and extending below the spacecraft was a large directional dish antenna.
 
The Mariner 1 power system consisted of the two solar cell wings, one {{convert|abbr=on|183|xx|76|cm|in|0}} and the other, {{convert|abbr=on|152|xx|76|cm|in|0}}, with a {{convert|abbr=on|31|cm|in|0}} [[dacron]] extension (a solar sail) to balance the solar pressure on the panels. Those panels powered the craft directly or recharged a 1,000-Watt-hour sealed silver-zinc cell battery, which was to be used before the panels were deployed, when the panels were not illuminated by the [[Sun]], and when loads were heavy. A power-switching and booster regulator device controlled the power flow. Communications consisted of a 3 Watt transmitter capable of continuous telemetry operation, the large high gain directional dish antenna, a cylindrical [[omnidirectional antenna]] at the top of the instrument mast, and two command antennas, one on the end of either solar panel, which received instructions for midcourse maneuvers and other functions.
 
Propulsion for midcourse maneuvers was supplied by a [[monopropellant]] (anhydrous [[hydrazine]]) 225 [[Newton (unit)|N]] retro-rocket. The hydrazine was ignited using [[nitrogen tetroxide]] and [[aluminium oxide]] [[Pelletizing|pellets]], and thrust direction was controlled by four jet vanes situated below the thrust chamber. Attitude control with a 1 [[Degree (angle)|degree]] pointing error was maintained by a system of [[nitrogen]] gas jets. The Sun and Earth were used as references for attitude stabilization. Overall timing and control was performed by a digital Central Computer and Sequencer. Thermal control was achieved through the use of passive reflecting and absorbing surfaces, thermal shields, and movable [[louver]]s.
 
The scientific experiments were mounted on the instrument mast and base. A [[magnetometer]] was attached to the top of the mast below the omnidirectional antenna. Particle detectors were mounted halfway up the mast, along with the [[cosmic ray]] detector. A [[cosmic dust|cosmic-dust]] detector and solar [[Plasma (physics)|plasma]] [[spectrometer]]/detector were attached to the top edges of the spacecraft base. A [[microwave radiometer]] and an [[infrared]] [[radiometer]] and the radiometer reference horns were rigidly mounted to a {{convert|abbr=on|48|cm|in|1}} diameter [[Parabolic antenna|parabolic]] radiometer antenna mounted near the bottom of the mast.
 
In addition, a small 91 × 150&nbsp;cm (3-by-5-foot) United States flag was folded and stowed onboard Mariner 1 (and Mariner 2), before it was mated to the [[RM-81 Agena|Agena]].
 
== Program error ==
 
=== "The most expensive hyphen in history" ===
The most consistent account was that the error was in hand-transcription of a mathematical symbol in the program specification, in particular a missing [[overbar]].  Yet the story persists of a "missing hyphen" ('-'), either in the data or in the computer instructions, or even somehow in the equations. Several factors contributed to the "missing hyphen" narrative and its longevity, even in official accounts from technical cognoscenti at [[JPL]] and [[NASA]]. Among the factors cited (or obvious enough):
 
* The overbar's resemblance to a hyphen ('‾' versus '-').
* The difficulty of explaining the real error to the American public and its elected representatives.
* External political pressures and internal schedule pressures, as the mission was
** an expensive failure of a three-way collaboration (JPL, NASA, USAF),
** legitimized within the narrative of the US-USSR [[space race]],
** very high profile, as America's first planetary mission,
** on a very tight schedule, as it was planned with a narrow launch window (45 days), leaving little time for inquiries, investigations or recriminations before the launch of Mariner 2. The official accounts (which included mentions of a missing hyphen) were the results of an inquiry conducted in less than a week.
 
Regardless of whatever may have given rise to initial reports of a "missing hyphen", the simplest and most consistent-sounding explanation that the public and Congress would accept would probably have been preferable to those who simply wanted to get on with the job of a Venus fly-by mission. The stories had contradictions, perhaps, but they were so technical that nobody who could have interfered with Mariner-program progress was likely to care about them or even notice. (After all, even in one later NASA account, the supposed "hyphen" is reported as missing from instructions at one point in the text, and from equations at another<ref name="nicks">[http://catless.ncl.ac.uk/Risks/5.73.html#subj2 NASA publication SP-480, ''Far Travelers -- The Exploring Machines'', Oran W. Nicks, 1985]</ref>).
 
==== Ambiguity of error location====
<!--Most of this is unnecessary.  Rewrite without opinions and editorial of newspapers.  Science articles need only science information.-->
 
''[[The New York Times]]'', reporting on the results of a review board, said that the error stemmed from "the omission of a hyphen in some mathematical data"
.<ref>[http://select.nytimes.com/gst/abstract.html?res=FA0913FA3C5E147B93CAAB178CD85F468685F9 "For Want of Hyphen Venus Rocket Is Lost"], ''New York Times'', July 27, 1962, as quoted in [http://catless.ncl.ac.uk/Risks/5.66.html#subj1 ''RISKS Digest'', Vol 5, Issue #66].
</ref>
The same report also said the hyphen was
:a symbol that should have been fed into a computer, along with a mass of other coded mathematical instructions.
This sort of inconsistency or ambiguity was seen in many subsequent variations on the story, official and otherwise. "Missing hyphen" versions of the story gained from official support before the month was out.  NASA official Richard B. Morrison testified before Congress that the supposed hyphen
 
:... gives a cue for the spacecraft to ignore the data the computer feeds it until radar contact is once again restored. When that hyphen is left out, false information is fed into the spacecraft control systems. In this case, the computer fed the rocket in hard left, nose down and the vehicle obeyed and crashed.<ref>House Science and Astronautics Committee, July 31, 1962, also quoted [http://mr-incredible.blogspot.com/2007_01_01_archive.html here]</ref>
(Note that Morrison says the spacecraft "crashed", not that it was intentionally destroyed).  In a NASA account submitted to Congress in 1963, the hyphen is described as missing in two different ways:
:NASA-JPL-USAF Mariner R-1 Post-Flight Review Board determined that the omission of a hyphen ''in coded computer instructions'' transmitted incorrect guidance signals to Mariner spacecraft boosted by two-stage Atlas-Agena from Cape Canaveral on July 21.  Omission of hyphen ''in data editing'' caused computer to swing automatically into a series of unnecessary course correction signals which threw spacecraft off course so that it had to be destroyed.<ref>"Astronautical and Aeronautical Events of 1962," report to the House Committee on Science and Astronautics, June 12, 1963 [http://catless.ncl.ac.uk/Risks/5.73.html#subj2.2 p.131].</ref>
 
In the same 1963 report to Congress, Morrison's testimony from the previous year is recounted differently:
:In testimony before House Science and Astronautics Committee, Richard B. Morrison, NASA's Launch Vehicles Director, testified that an error ''in computer equations'' for Venus probe launch of Mariner R-1 space-craft on July 21 led to its destruction when it veered off course.<ref>"Astronautical and Aeronautical Events of 1962," report to the House Committee on Science and Astronautics, June 12, 1963 [http://catless.ncl.ac.uk/Risks/5.73.html#subj2.2 p.333]</ref>
 
JPL's Mariner Venus Final Project Report in 1965 noted that, at 4 minutes and 25 seconds into the flight, there was an "[U]nscheduled yaw-lift maneuver":
:...steering commands were being supplied, but ''faulty application of the guidance equations'' was taking the vehicle far off course.<ref>[http://catless.ncl.ac.uk/Risks/5.73.html#subj2.2 ''Mariner Venus Final Project Report'' (NASA SP-59, 1965), p.87].
</ref>
 
[[Arthur C. Clarke]] wrote several years later that Mariner 1 was "wrecked by the most expensive hyphen in history".<ref>''The Promise of Space'', Arthur C. Clarke, 1968, [http://books.google.com/books?q=wrecked.by.the.most.expensive.hyphen.in.history p. 225].</ref>
 
In a NASA report published in 1985, Oran Nicks offered another slightly differing account, but with the software-related error still identified as a missing "hyphen":
:The guidance antenna on the Atlas performed poorly, below specifications. When the signal received by the rocket became weak and noisy, the rocket lost its lock on the ground guidance signal that supplied steering commands.  The possibility had been foreseen; in the event that radio guidance was lost the internal guidance computer was supposed to reject the spurious signals from the faulty antenna and proceed on its stored program, which would probably have resulted in a successful launch.  At this point a second fault took effect.  Somehow a hyphen had been dropped from the guidance program loaded aboard the computer, allowing the flawed signals to command the rocket to veer left and nose down.  The hyphen had been missing on previous successful flights of the Atlas, but that portion of the equation had not been needed since there was no radio guidance failure.<ref name="nicks" />
 
NASA's website now says the problem was:
:... apparently caused by a combination of two factors. Improper operation of the Atlas airborne beacon equipment resulted in a loss of the rate signal from the vehicle for a prolonged period. The airborne beacon used for obtaining rate data was inoperative for four periods ranging from 1.5 to 61 seconds in duration. Additionally, the Mariner 1 Post Flight Review Board determined that the omission of a hyphen ''in coded computer instructions in the data-editing program'' allowed transmission of incorrect guidance signals to the spacecraft. During the periods the airborne beacon was inoperative the omission of the hyphen ''in the data-editing program'' caused the computer to incorrectly accept the sweep frequency of the ground receiver as it sought the vehicle beacon signal and combined this data with the tracking data sent to the remaining guidance computation. This caused the computer to swing automatically into a series of unnecessary course corrections with erroneous steering commands which finally threw the spacecraft off course.<ref>[http://nssdc.gsfc.nasa.gov/nmc/spacecraftDisplay.do?id=MARIN1 "Mariner 1", Version 4.0.7], 2 April 2008.</ref>
 
===Other punctuation===
In other versions of the legend, the bug consisted of:
* a [[full stop|period]] typed in place of a [[comma (punctuation)|comma]], causing a [[FORTRAN]] [[DO loop]] statement to be misinterpreted (although there is no evidence that FORTRAN was used in the mission), of the form "DO&nbsp;5&nbsp;&nbsp;K=1.&nbsp;3" interpreted as assignment "DO5K&nbsp;=&nbsp;1.3"<ref>''Beyond the Limits: Flight Enters the Computer Age'', Paul E. Ceruzzi, In [http://books.google.com/books?id=bFXeTMPfDYUC&printsec=frontcover&dq=Ceruzzi+%22Beyond+the+Limits%22&sig=Yf-al6QKqYna4ylMlKUIDr3V7AM#PPA250,M1 p.250, footnote 13 for Chapter 9], where Ceruzzi writes that, "[S]ince the Atlas Guidance Computer did not have a Fortran compiler ....", and in footnote 14, "The Atlas Launch computer did not even use Fortran, the Fortran programming language.  How the story has become embellished in this way is a mystery."</ref> There are anecdotal reports that there was in fact such a bug in a [[NASA]] orbit computation program at about this time, but it was a program for [[Project Mercury]], not [[Mariner program|Mariner]], and the claim was that the bug was noticed and fixed before there could be any serious consequences.<ref>''RISKS Digest'', v. 9, issue 54, [http://catless.ncl.ac.uk/Risks/9.54.html#subj1.1 "Mariner I [once more&#93;"], Mark Brader, 12 December 1989.</ref>
* a missing comma <ref>[http://www.textfiles.com/100/famous.bug Famous bugs]</ref>
* an extraneous semicolon <ref>[http://www.jpl.nasa.gov/about_JPL/jpl101.pdf JPL 101] page 22</ref>
 
===Overbar transcription error ===
The error had occurred when a symbol was being transcribed by hand in the specification for the guidance program. The writer missed the superscript bar (or [[overline]]) in
 
:<math>\bar{\dot{R}_n}</math>
 
by which was meant "the ''n''th smoothed value of the time derivative of a radius R".  Without the smoothing function indicated by the bar, the program treated normal minor variations of velocity as if they were serious, causing spurious corrections that sent the rocket off course.<ref>http://www.faqs.org/faqs/space/probe/</ref>  It was then destroyed by the [[Range Safety Officer]].<ref>''Beyond the Limits: Flight Enters the Computer Age'', Paul E. Ceruzzi, p.203.  In [http://books.google.com/books?id=bFXeTMPfDYUC&printsec=frontcover&dq=Ceruzzi+%22Beyond+the+Limits%22&sig=Yf-al6QKqYna4ylMlKUIDr3V7AM#PPA250,M1 one of the notes for this book (p. 250)], the author writes "The same flawed program had been used in earlier Ranger launches with no ill effects."</ref>
 
== References ==
{{Reflist}}
 
== External links ==
* [http://nssdc.gsfc.nasa.gov/nmc/spacecraftDisplay.do?id=MARIN1 NASA's article about the Mariner I]
* [http://solarsystem.nasa.gov/missions/profile.cfm?MCode=Mariner_01 Mariner 1 Mission Profile] by [http://solarsystem.nasa.gov NASA's Solar System Exploration]
* [[RISKS Digest]] [http://catless.ncl.ac.uk/Risks/8.75.html#subj1 detail about the Mariner I failure]
 
{{Mariner program | before=None| after=[[Mariner 2]]}}
{{Orbital launches in 1962}}
 
[[Category:Missions to Venus]]
[[Category:Mariner program]]
[[Category:Spacecraft launched in 1962]]
[[Category:Satellite launch failures]]
[[Category:Spacecraft launched by Atlas-Agena rockets]]
 
[[de:Mariner#Mariner 1 und 2]]

Revision as of 05:39, 2 March 2014

Nowadays, Nike Air Max 2011 has been introduced into the market as the third generation of Nike Air Max shoes.
However, as a matter of fact, only after a long time from the introduction of these new shoes, people begin to pay certain attention to them. nike running The acknowledged model among all Nike excellent sports shoes should refer to Nike Air Max 2009 which deserves to be a typical example as a kind of great and popular running shoes.

The leather and mesh adopted as material in uppers of air max 2009 make these shoes breathable and light. The heel of these shoes is made up of polyurethane and max air cushion which can be seen. Thus it is fair to say that Nike Air Max 2009 shoes are classic ones among all Nike shoes.

We also need to mention Nike Air Max classic BW shoes which are considered as one of the greatest products in the world of sports shoes when it comes to the wonderful running shoes. with these shoes on feet, you will feel the excellence of their various functions.

A large majority of people in the entire world all suppose that Nike designer Air Max shoes can be treated as one of the greatest running shoes in the sports market. Surf on the internet, and there you can learn about more details of these shoes.
As to Nike designer Air Max 2011 shoes; they are wonderful sports sneakers, too. They are sure to make the wearers shoes better performance when doing sports and bring them fashion, comfort as well as much capacity. I also would like to spare some time on the internet to seek for some comments about designer Nike Air Max 2011.

According to all the reviews, wearing air max 2011 shoes, your feet would enjoy great comfort, and in fact, these shoes have won much favor and praise from most people. Then I was driven by these positive comments and also attempted to buy a pair of air max shoes to have a try.
These shoes turn to be cheap and great, and this makes me very satisfied. These shoes are absolutely worthy our any cost.

It is known to us that the family of Nike Air Max series include many members such as Nike Air Max 87, Nike Air Max 91, Nike Air Max 95, Nike Air Max 2009, Nike Air Max LTD, Nike Air Max skyline and so on. Among all the above models of air max shoes, every one will illustrate your personality and good taste to the largest extent.
As for Nike designer Air Max 91; we can infer its producing year from its name, i.e., the year of 1991. If you expect to get a pair of satisfying running shoes, then, from my point of view, you'd better buy designer Air Max 91 shoes. People who like breathable shoes can pay extra attention to the cheap air max 2011 shoes which will surly their wise choice.

All these shoes are endowed with a visual landmark, great cushion and strong stability.
800x600 Normal 0 7.8 � 0 2 false false false EN-US ZH-CN X-NONE MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable mso-style-name:n