Math - Blog Posts

LaRue Burbank, mathematician and computer, is just one of the many women who were instrumental to NASA missions.

4 Little Known Women Who Made Huge Contributions to NASA

Women have always played a significant role at NASA and its predecessor NACA, although for much of the agency’s history, they received neither the praise nor recognition that their contributions deserved. To celebrate Women’s History Month – and properly highlight some of the little-known women-led accomplishments of NASA’s early history – our archivists gathered the stories of four women whose work was critical to NASA’s success and paved the way for future generations.

LaRue Burbank: One of the Women Who Helped Land a Man on the Moon

LaRue Burbank was a trailblazing mathematician at NASA. Hired in 1954 at Langley Memorial Aeronautical Laboratory (now NASA’s Langley Research Center), she, like many other young women at NACA, the predecessor to NASA, had a bachelor's degree in mathematics. But unlike most, she also had a physics degree. For the next four years, she worked as a "human computer," conducting complex data analyses for engineers using calculators, slide rules, and other instruments. After NASA's founding, she continued this vital work for Project Mercury.

In 1962, she transferred to the newly established Manned Spacecraft Center (now NASA’s Johnson Space Center) in Houston, becoming one of the few female professionals and managers there.  Her expertise in electronics engineering led her to develop critical display systems used by flight controllers in Mission Control to monitor spacecraft during missions. Her work on the Apollo missions was vital to achieving President Kennedy's goal of landing a man on the Moon.

Eilene Galloway: How NASA became… NASA

Eilene Galloway wasn't a NASA employee, but she played a huge role in its very creation. In 1957, after the Soviet Union launched Sputnik, Senator Richard Russell Jr. called on Galloway, an expert on the Atomic Energy Act, to write a report on the U.S. response to the space race. Initially, legislators aimed to essentially re-write the Atomic Energy Act to handle the U.S. space goals. However, Galloway argued that the existing military framework wouldn't suffice – a new agency was needed to oversee both military and civilian aspects of space exploration. This included not just defense, but also meteorology, communications, and international cooperation.

Her work on the National Aeronautics and Space Act ensured NASA had the power to accomplish all these goals, without limitations from the Department of Defense or restrictions on international agreements. Galloway is even to thank for the name "National Aeronautics and Space Administration", as initially NASA was to be called “National Aeronautics and Space Agency” which was deemed to not carry enough weight and status for the wide-ranging role that NASA was to fill.

Barbara Scott: The “Star Trek Nerd” Who Led Our Understanding of the Stars

A self-described "Star Trek nerd," Barbara Scott's passion for space wasn't steered toward engineering by her guidance counselor. But that didn't stop her!  Fueled by her love of math and computer science, she landed at Goddard Spaceflight Center in 1977.  One of the first women working on flight software, Barbara's coding skills became instrumental on missions like the International Ultraviolet Explorer (IUE) and the Thermal Canister Experiment on the Space Shuttle's STS-3.  For the final decade of her impressive career, Scott managed the flight software for the iconic Hubble Space Telescope, a testament to her dedication to space exploration.

Dr. Claire Parkinson: An Early Pioneer in Climate Science Whose Work is Still Saving Lives

Dr. Claire Parkinson's love of math blossomed into a passion for climate science. Inspired by the Moon landing, and the fight for civil rights, she pursued a graduate degree in climatology.  In 1978, her talents landed her at Goddard, where she continued her research on sea ice modeling. But Parkinson's impact goes beyond theory.  She began analyzing satellite data, leading to a groundbreaking discovery: a decline in Arctic sea ice coverage between 1973 and 1987. This critical finding caught the attention of Senator Al Gore, highlighting the urgency of climate change.

Parkinson's leadership extended beyond research.  As Project Scientist for the Aqua satellite, she championed making its data freely available. This real-time information has benefitted countless projects, from wildfire management to weather forecasting, even aiding in monitoring the COVID-19 pandemic. Parkinson's dedication to understanding sea ice patterns and the impact of climate change continues to be a valuable resource for our planet.

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Are You Up to the Task of Navigating Space with NASA?

We’re committed to exploration and discovery, journeying to the Moon, Mars, and beyond. But how do we guide our missions on their voyage among the stars? Navigation engineers lead the way!

Using complex mathematical formulas, navigation experts calculate where our spacecraft are and where they’re headed. No matter the destination, navigating the stars is a complicated challenge that faces all our missions. But, we think you’re up to the task!

Our space navigation workbook lets you explore the techniques and mathematical concepts used by navigation engineers. The book delves into groundbreaking navigation innovations like miniaturized atomic clocks, autonomous navigation technologies, using GPS signals at the Moon, and guiding missions through the solar system with X-ray emissions from pulsars — a type of neutron star. It also introduces you to experts working with NASA’s Space Communications and Navigation program at Goddard Space Flight Center in Greenbelt, Maryland.

If you’re a high schooler who dreams of guiding a rover across the rocky surface of Mars or planning the trajectory of an observer swinging around Venus en route to the Sun, this workbook is for you! Download it today and start your adventure with NASA: https://go.nasa.gov/3i7Pzqr

“I felt I was an accepted team member. It was a great experience and a unique opportunity.”

Ruth Ann Strunk, a math major, was hired in 1968 at NASA’s Kennedy Space Center as an acceptance checkout equipment software engineer. She monitored the work of contractors who wrote the computer programs designed to check out the command module, lunar module and the Apollo J mission experiments. These experiments were conducted aboard the service modules on Apollo 15, 16 and 17 by the command module pilots. 

“I am proud of the advancement and the number of women who are working and enjoy working here,” Strunk said. “It was a wonderful opportunity NASA afforded me during Apollo that I have been able to use ever since.”

Remember the women who made #Apollo50th possible.

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10 Ways to Celebrate Pi Day with Us on March 14

On March 14, we will join people across the U.S. as they celebrate an icon of nerd culture: the number pi. 

So well known and beloved is pi, also written π or 3.14, that it has a national holiday named in its honor. And it’s not just for mathematicians and rocket scientists. National Pi Day is widely celebrated among students, teachers and science fans, too. Read on to find out what makes pi so special, how it’s used to explore space and how you can join the celebration with resources from our collection.

1—Remind me, what is pi?

Pi, also written π, is the Swiss Army knife of numbers. No matter how big or small a circle – from the size of our universe all the way down to an atom or smaller – the ratio of a circle’s circumference (the distance around it) to its diameter (the distance across it) is always equal to pi. Most commonly, pi is used to answer questions about anything circular or spherical, so it comes in handy especially when you’re dealing with space exploration.

2—How much pi do you need?

For simplicity, pi is often rounded to 3.14, but its digits go on forever and don’t appear to have any repeating patterns. While people have made it a challenge to memorize record-breaking digits of pi or create computer programs to calculate them, you really don’t need that many digits for most calculations – even at NASA. Here’s one of our engineers on how many decimals of pi you need.

3—Officially official.

Pi pops up in everything from rocket-science-level math to the stuff you learn in elementary school, so it’s gained a sort of cult following. On March 14 (or 3/14 in U.S. date format) in 1988, a physicist at the San Francisco Exploratorium held what is thought to be the first official Pi Day celebration, which smartly included the consumption of fruit pies. Math teachers quickly realized the potential benefits of teaching students about pi while they ate pie, and it all caught on so much that in 2009, the U.S. Congress officially declared March 14 National Pi Day. Here’s how to turn your celebration into a teachable moment.

4—Pi helps us explore space!

Space is full of circular and spherical features, and to explore them, engineers at NASA build spacecraft that make elliptical orbits and guzzle fuel from cylindrical fuel tanks, and measure distances on circular wheels. Beyond measurements and space travel, pi is used to find out what planets are made of and how deep alien oceans are, and to study newly discovered worlds. In other words, pi goes a long way at NASA.

5—Not just for rocket scientists.

No Pi Day is complete without a little problem solving. Even the math-averse will find something to love about this illustrated math challenge that features real questions scientists and engineers must answer to explore and study space – like how to determine the size of a distant planet you can’t actually see. Four new problems are added to the challenge each year and answers are released the day after Pi Day.

6—Teachers rejoice.

For teachers, the question is not whether to celebrate Pi Day, but how to celebrate it. (And how much pie is too much? Answer: The limit does not exist.) Luckily, our Education Office has an online catalog for teachers with all 20 of its “Pi in the Sky” math challenge questions for grades 4-12. Each lesson includes a description of the real-world science and engineering behind the problem, an illustrated handout and answer key, and a list of applicable Common Core Math and Next Generation Science Standards.

7—How Do We celebrate?

In a way, we celebrate Pi Day every day by using pi to explore space. But in our free time, we’ve been known to make and eat space-themed pies, too! Share your own nerdy celebrations with us here.

8—A pop-culture icon.

The fascination with pi, as well its popularity and accessibility have made it a go-to math reference in books, movies and television. Ellie, the protagonist in Carl Sagan’s book “Contact,” finds a hidden message from aliens in the digits of pi. In the original “Star Trek” series, Spock commanded an alien entity that had taken over the computer to compute pi to the last digit – an impossible task given that the digits of pi are infinite. And writers of “The Simpsons,” a show known for referencing math, created an episode in which Apu claims to know pi to 40,000 digits and proves it by stating that the 40,000th digit is 1.

9—A numbers game.

Calculating record digits of pi has been a pastime of mathematicians for millennia. Until the 1900s, these calculations were done by hand and reached records in the 500s. Once computers came onto the scene, that number jumped into the thousands, millions and now trillions. Scientist and pi enthusiast Peter Trueb holds the current record – 22,459,157,718,361 digits – which took his homemade computer 105 days of around-the-clock number crunching to achieve. The record for the other favorite pastime of pi enthusiasts, memorizing digits of pi, stands at 70,030.

10—Time to throw in the tau?

As passionate as people are about pi, there are some who believe things would be a whole lot better if we replaced pi with a number called tau, which is equal to 2π or 6.28. Because many formulas call for 2π, tau-enthusiasts say tau would provide a more elegant and efficient way to express those formulas. Every year on Pi Day, a small debate ensues. While we won’t take sides, we will say that pi is more widely used at NASA because it has applications far beyond geometry, where 2π is found most often. Perhaps most important, though, for pi- and pie-lovers alike is there’s no delicious homonym for tau.

Enjoy the full version of this article HERE. 

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Happy National Techies Day!

October 3 is National Techies Day…and here at NASA we have quite a few people who get REALLY excited about technology. Without techies and the technology they develop, we wouldn’t be able to do the amazing things we do at NASA, or on Earth and in space.

Our Techies

We love our techies! The passionate engineers, researchers and scientists who work on our technology efforts enable us to make a difference in the world around us. They are responsible for developing the pioneering, new technologies and capabilities needed to achieve our current and future missions.

Research and technology development take place within our centers, in academia and industry, and leverage partnerships with other government agencies and international partners. We work to engage and inspire thousands of technologists and innovators creating a community of our best and brightest working on the nation’s toughest challenges.

Technology Drives Exploration

Our investments in technology development enable and advance space exploration. We are continually seeking to improve our ability to access and travel through space, land more mass in more locations, enable humans to live and explore in space and accelerate the pace of discovery.

Techie Technology

Advanced Manufacturing Technologies

When traveling to other planetary bodies, each and every pound of cargo matters. If we can reduce the weight by building tools once we arrive, that’s less weight we need to launch from Earth and carry through space.

Additive manufacturing is a way of printing three-dimensional (3-D) components from a digital model. If you think of a common office printer, it uses a 2-D file to print images and text on a sheet of paper. A 3-D printer uses a 3D file to deposit thin layers of material on top of each other, creating a 3-D product.

Thanks to techies, we’re already using this technology on the International Space Station to print wrenches and other tools. Our Additive Construction for Mobile Emplacement (ACME) project is investigating ways to build structures on planetary surfaces using resources available at a given site.

Discover more about how our techies are working with advanced manufacturing HERE.

Technology Demonstrations

Our techies are always innovating and developing new cutting-edge ideas. We test these ideas in extreme environments both here on Earth and in space.  

Science missions in space require spacecraft propulsion systems that are high-performance, lightweight, compact and have a short development time. The Deep Space Engine project is looking to meet those needs. Our techies are currently testing a 100lbf (pound-force) thruster to see if this compact, lightweight, low-cost chemical propulsion system can operate at very low temperatures, which allows long duration storage capabilities.

Another technology in development is PUFFER, or the Pop-Up Flat Folding Explorer Robot…and it was inspired by origami! This robot’s lightweight design is capable of flattening itself, tucking in its wheels and crawling into places rovers can’t fit. PUFFER has been tested in a range of rugged terrains to explore areas that might be too risky for a full-fledged rover to go.

With our partners at Ball Aerospace & Technologies Corp., we’ve also collaborated on the Green Propellant Infusion Mission (GPIM), which will flight test a "green" alternative to the toxic propellant, hydrazine, in 2018. GPIM is the nation’s premier spacecraft demonstration of a new high-performance power and propulsion system — a more environmentally friendly fuel. This technology promises improved performance for future satellites and other space missions by providing for longer mission durations, increased payload mass and simplified pre-launch spacecraft processing, including safer handling and transfer of propellants.  

Find out more about our technology demonstrations HERE.

Aircraft Technology

What if you could travel from London to New York in less than 3.5 hours? Our techies’ research into supersonic flight could make that a reality! 

Currently, supersonic flight creates a disruptive, loud BOOM, but our goal is to instead create a soft “thump” so that flying at supersonic speeds could be permitted over land in the United States.

We’re conducting a series of flight tests to validate tools and models that will be used for the development of future quiet supersonic aircraft.

Did you know that with the ability to observe the location of an aircraft’s sonic booms, pilots can better keep the loud percussive sounds from disturbing communities on the ground? This display allows research pilots the ability to physically see their sonic footprint on a map as the boom occurs.

Learn more about our aircraft technology HERE.

Technology Spinoffs 

Did you know that some of the technology used in the commercial world was originally developed for NASA? For example, when we were testing parachutes for our Orion spacecraft (which will carry humans into deep space), we needed to capture every millisecond in extreme detail. This would ensure engineers saw and could fix any issues. The problem was,there didn’t exist a camera in the world that could shoot at a high enough frame rate -- and store it in the camera’s memory -- all while adjusting instantly from complete darkness to full daylight and withstanding the space vacuum, space radiation and water immersion after landing.

Oh…and it had to be small, lightweight, and run on low power. Luckily, techies built exactly what we needed. All these improvements have now been incorporated into the camera which is being used in a variety of non-space industries…including car crash tests, where high resolution camera memory help engineers get the most out of testing to make the cars we drive safer.

Learn about more of our spinoff technologies HERE.

Join Our Techie Team

We’re always looking for passionate and innovative techies to join the NASA team. From student opportunities to open technology competitions, see below for a list of ways to get involved:

NASA Solve is a gateway for everyone to participate in our mission through challenges, prize competition, citizen science and more! Here are a few opportunities:

Vascular Tissue Challenge 

The Vascular Tissue Challenge, a NASA Centennial Challenges competition, offers a $500,000 prize to be divided among the first three teams that successfully create thick, metabolically-functional human vascularized organ tissue in a controlled laboratory environment. More information HERE.

For open job opportunities at NASA, visit: https://nasajobs.nasa.gov. 

For open internship opportunities at NASA, visit: https://www.nasa.gov/audience/forstudents/stu-intern-current-opps.html

Stay tuned in to the latest NASA techie news, by following  @NASA_Technology on Twitter, NASA Technology on Facebook and visiting nasa.gov/technology.

Happy National Techies Day!

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Back to School Resources

Need help with your science homework? We’ve got you covered! Here are some out-of-this world (pun intended) resources for your science and space questions.

Let’s take a look…

NASA Space Place

From questions like “Why does Saturn have rings?” to games that allow you to explore different galaxies, NASA Space Place has a variety of content for elementary-age kids, parents and anyone who likes science and technology topics. 

Visit the NASA Space Place website or follow @NASASpacePlace on Twitter.

SciJinks

Targeting middle-school students and teachers, this NOAA and NASA partnership has games and useful information about weather and other Earth science subjects. 

Visit the SciJinks website or follow @SciJinks on Twitter. 

NASA Education

The NASA Education website includes an A-Z list of education opportunities that we offer throughout the year, as well as education programs, events and resources for both students and educators. 

We have a diverse set of resources for multiple age groups:

Grades K-4

Grades 5-8

Grades 9-12

Higher Education

Informal Education

Visit the NASA Education website or follow @NASAedu on Twitter. 

Want to get NASA Education materials for your classroom? Click HERE. 

A Year of Education on the International Space Station

Although on different crews, astronauts Joe Acaba and Ricky Arnold - both former teachers - will work aboard the International Space Station. K-12 and higher education students and educators can do NASA STEM activities related to the station and its role in our journey to Mars. Click HERE for more. 

Sally Ride EarthKAM

Also on the International Space Station, the Sally Ride EarthKAM @ Space Camp allows students to program a digital camera on board the space station to photograph a variety of geographical targets for study in the classroom. 

Registration is now open until Sept. 25 for the Sept. 26-30 mission. Click HERE for more. 

NASA eClips™

NASA eClips™ are short, relevant educational video segments. These videos inspire and engage students, helping them see real world connections by exploring current applications of science, technology, engineering and mathematics, or STEM, topics. The programs are produced for targeted audiences: K-5, 6-8, 9-12 and the general public.

Space Operations Learning Center

The Space Operations Learning Center teaches school-aged students the basic concepts of space operations using the web to present this educational content in a fun and engaging way for all grade levels. With fourteen modules, there’s lots to explore for all ages.

The Mars Fun Zone

The Mars Fun Zone is a compilation of Red Planet-related materials that engage the explorer inside every kid through activities, games, and educational moments. 

Fly Away with NASA Aeronautics

Frequent flyer or getting ready to earn your first set of wings? From children’s books for story time to interactive flight games, we’ve got Aeronautics activities for students of all ages that are sure to inspire future scientists, mathematicians and engineers. 

On Pinterest? We have a board that highlights NASA science, technology, engineering and math (STEM) lessons, activities, tools and resources for teachers, educators and parents. 

Check it out here: https://www.pinterest.com/nasa/nasa-for-educators/ 

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It’s Pi Day!

Pi Day, the informal holiday beloved by math enthusiasts — and even by the math averse — is here! March 14 marks the yearly celebration of the mathematical constant π (pi).

What is Pi?

Pi (3.1415….) is the ratio of circumference to diameter in a circle. Any time you want to find out the distance around a circle when you have the distance across it, you will need this formula.

Despite its frequent appearance in math and science, you can’t write pi as a simple fraction or calculate it by dividing two integers. For this reason, pi is said to be “irrational.” Pi’s digits extend infinitely and without any pattern, adding to its intrigue and mystery.

How Do We Use Pi at NASA?

Measurements: Pi can be used to make measurements – like perimeter, area and volume. 

For example, sometimes we use lasers to explode ice samples and study their composition. In this scenario, we can uses pi to calculate the width of the laser beam, which in turn can be used to calculate the amount of energy, or fluence, that hits the ice sample. A larger fluence equals a bigger explosion in the ice.

Commanding Rovers: Pi is also used every day commanding rovers on the Red Planet. Everything from taking images, turning the wheels, driving around, operating the robotic arm and even talking to Earth!

Make sure to follow us on Tumblr for your regular dose of space: http://nasa.tumblr.com