In the News
A spacecraft designed to study seismic activity on Mars, or “marsquakes,” is scheduled to lift off on a nearly seven-month journey to the Red Planet on May 5, 2018.
NASA’s InSight Mars lander is designed to get the first in-depth look at the “heart” of Mars: its crust, mantle and core. In other words, it will be the Red Planet’s first thorough checkup since it formed 4.5 billion years ago. The launch, from Vandenberg Air Force Base in Central California, also marks a first: It will be the first time a spacecraft bound for another planet lifts off from the West Coast. It’s a great opportunity to get students excited about the science and math used to launch rockets and explore other planets.
How It Works
Explore our collection of standards-aligned, STEM lessons all about Mars and missions to the Red Planet.
NASA usually launches interplanetary spacecraft from the East Coast, at Cape Canaveral in Florida, to provide them with a momentum boost from Earth’s easterly rotation. It’s similar to how running in the direction you are throwing a ball can provide a momentum boost to the ball. If a spacecraft is launched without that extra earthly boost, the difference must be made up by the rocket engine. Since InSight is a small, lightweight spacecraft, its rocket can easily accommodate getting it into orbit without the help of Earth’s momentum.
Scheduled to launch no earlier than 4:05 a.m. PDT on May 5, InSight will travel aboard an Atlas V 401 launch vehicle on a southerly trajectory over the Pacific Ocean. (Here's how to watch the launch in person or online.) If the weather is bad or there are any mechanical delays, InSight can launch the next day. In fact, InSight can launch any day between May 5 and June 8, a time span known as a launch period, which has multiple launch opportunities during a two-hour launch window each day.
Regardless of the date when InSight launches, its landing on Mars is planned for November 26, 2018, around noon PST. Mission controllers can account for the difference in planetary location between the beginning of the launch window and the end by varying the amount of time InSight spends in what’s called a parking orbit. A parking orbit is a temporary orbit that a spacecraft can enter before moving to its final orbit or trajectory. For InSight, the Atlas V 401 will boost the spacecraft into a parking orbit where it will coast for a while to get into proper position for an engine burn that will send it toward Mars. The parking orbit will last 59 to 66 minutes, depending on the date and time of the launch.
Why It’s Important
Previous missions to Mars have investigated the history of the Red Planet’s surface by examining features like canyons, volcanoes, rocks and soil. However, many important details about the planet's formation can only be found by studying the planet’s interior, far below the surface. And to do that, you need specialized instruments and sensors like those found on InSight.
The InSight mission, designed to operate for one Mars year (approximately two Earth years), will use its suite of instruments to investigate the interior of Mars and uncover how a rocky body forms and becomes a planet. Scientists hope to learn the size of Mars’ core, what it’s made of and whether it’s liquid or solid. InSight will also study the thickness and structure of Mars’ crust, the structure and composition of the mantle and the temperature of the planet’s interior. And a seismometer will determine how often Mars experiences tectonic activity, known as “marsquakes,” and meteorite impacts.
Together, the instruments will measure Mars’ vital signs: its "pulse" (seismology), "temperature" (heat flow), and "reflexes" (wobble). Here’s how they work:
InSight’s seismometer is called SEIS, or the Seismic Experiment for Interior Structure. By measuring seismic vibrations across Mars, it will provide a glimpse into the planet’s internal activity. The volleyball-size instrument will sit on the Martian surface and wait patiently to sense the seismic waves from marsquakes and meteorite impacts. These measurements can tell scientists about the arrangement of different materials inside Mars and how the rocky planets of the solar system first formed. The seismometer may even be able to tell us if there's liquid water or rising columns of hot magma from active volcanoes underneath the Martian surface.
The Heat Flow and Physical Properties Probe, HP3 for short, burrows down almost 16 feet (five meters) into Mars' surface. That's deeper than any previous spacecraft arms, scoops, drills or probes have gone before. Like studying the heat leaving a car engine, HP3 will measure the heat coming from Mars' interior to reveal how much heat is flowing out and what the source of the heat is. This will help scientists determine whether Mars formed from the same material as Earth and the Moon, and will give them a sneak peek into how the planet evolved.
InSight’s Rotation and Interior Structure Experiment, or RISE, instrument tracks tiny variations in the location of the lander. Even though InSight is stationary on the planet, its position in space will wobble slightly with Mars itself, as the planet spins on its axis. Scientists can use what they learn about the Red Planet’s wobble to determine the size of Mars’ iron-rich core, whether the core is liquid, and which other elements, besides iron, may be present.
When InSight lifts off, along for the ride in the rocket will be two briefcase-size satellites, or CubeSats, known as MarCO, or Mars Cube One. They will take their own path to Mars behind InSight, arriving in time for landing. If all goes as planned, as InSight enters the Martian atmosphere, MarCO will relay data to Earth about entry, descent and landing operations, potentially faster than ever before. InSight will also transmit data to Earth the way previous Mars spacecraft have, by using NASA’s Mars Reconnaissance Orbiter as a relay. MarCO will be the first test of CubeSat technology at another planet, and if successful, it could provide a new way to communicate with spacecraft in the future, providing news of a safe landing – or any potential problems – sooner.
Thanks to the Mars rovers, landers and orbiters that have come before, scientists know that Mars has low levels of geological activity – but a lander like InSight can reveal what might be lurking below the surface. And InSight will give us a chance to discover more not just about the history of Mars, but also of our own planet’s formation.
When launching to another planet, we want to take the most efficient route, using the least amount of rocket fuel possible. To take this path, we must launch during a specific window of time, called a launch window. Use this lesson in advanced algebra to estimate the launch window for the InSight lander and future Mars missions.
Let's Go to Mars: Calculating Launch Windows
Students use advanced algebra concepts to determine the next opportunity to launch a spacecraft to Mars.
Time 30 mins - 1 hr
SEIS will record the times that marsquake surface waves arrive at the lander. Try your hand, just like NASA scientists, using these times, a little bit of algebra and the mathematical constant π to determine the timing and location of a marsquake!
Quake Quandary: A 'Pi in the Sky' Math Challenge
In this illustrated math problem, students use the mathematical constant pi to identify the timing and location of a seismic event on Mars, called a "marsquake."
Time < 30 mins
Take students on a journey to Mars with this set of 19 standards-aligned STEM lessons that can be modified to fit various learning environments, including out-of-school time.
Mission to Mars Unit
In this 19-lesson, standards-aligned unit, students learn about Mars, design a mission to explore the planet, build and test model spacecraft and components, and engage in scientific exploration.
Build, test and launch your very own air-powered rocket to celebrate the first West Coast interplanetary spacecraft launch!
In this video lesson, students learn to design, build and launch paper rockets, calculate how high they fly and improve their designs.
Time 1-2 hrs
- InSight Launch Toolkit - Find out more about the launch, including how to watch in person or online
- InSight Mission website
- InSight Mission Roadshow
- NASA Mars Exploration website
- Marsquake lessons and resources for teachers from the British Geological Survey
- Modeling Seismic Waves with Slinkies from the Incorporated Research Institutions for Seismology (IRIS)
- Make a Human Wave from IRIS
- Make an Earthquake Machine from IRIS
Try these related resources for students from NASA's Space Place:
In the News
This month marks the 60th anniversary of the launch of America’s first satellite, Explorer 1. The small, pencil-shaped satellite did more than launch the U.S. into the Space Age. With its collection of instruments, or scientific tools, it turned space into not just a new frontier, but also a place of boundless scientific exploration that could eventually unveil secrets of new worlds – as well as the mysteries of our own planet.
How They Did It
At the height of competition for access to space, the U.S. and the Soviet Union were both building satellites that would ride atop rockets in a quest to orbit Earth. The Soviets launched Sputnik 1 on October 4, 1957. Shortly thereafter, on January 31, 1958, the U.S. launched Explorer 1, the satellite that would begin a new age of scientific space exploration.
Using rockets to do science from orbit was a brand-new option in the late 1950s. Before this time, rockets had only been used for military operations and atmospheric research. Still, rockets of that era weren’t very reliable and none had been powerful enough to place an object into Earth orbit.
Explore our collection of standards-aligned lessons for grades K-9.
In order to lift Explorer 1 to its destination in Earth orbit, an existing U.S. Army rocket, the Jupiter C, was fitted with a fourth stage, provided by the Jet Propulsion Laboratory in Pasadena, California. For this stage, a rocket motor was integrated into the satellite itself. The new, four-stage rocket was called “Juno 1.”
Prior to these first orbiting observatories, everything we knew about space and Earth came from Earth-based observation platforms – sensors and telescopes – and a few atmospheric sounding rockets. With the success of Explorer 1 and the subsequent development of more powerful rockets, we have been able to send satellites beyond Earth orbit to explore planets, moons, asteroids and even our Sun. With a space-based view of Earth, we are able to gain a global perspective and acquire a wide variety and amount of data at a rapid pace.
Why It’s Important
The primary science instrument on Explorer 1 was a cosmic ray detector designed to measure the radiation environment in Earth orbit – in part, to understand what hazards future spacecraft (or space-faring humans) might face. Once in space, this experiment, provided by James Van Allen of the University of Iowa, revealed a much lower cosmic ray count than expected. Van Allen theorized that the instrument might have been saturated by very strong radiation from a belt of charged particles trapped in space by Earth's magnetic field. The existence of the radiation belts was confirmed over the next few months by Explorer 3, Pioneer 3 and Explorer 4. The belts became known as the Van Allen radiation belts in honor of their discoverer.
Although we discovered and learned a bit about the Van Allen belts with the Explorer missions, they remain a source of scientific interest. The radiation belts are two (or more) donut-shaped regions encircling Earth, where high-energy particles, mostly electrons and ions, are trapped by Earth's magnetic field. The belts shrink and swell in size in response to incoming radiation from the Sun. They protect Earth from incoming high-energy particles, but this trapped radiation can affect the performance and reliability of our technologies, such as cellphone communication, and pose a threat to astronauts and spacecraft. It’s not safe to spend a lot of time inside the Van Allen radiation belts.
Most spacecraft are not designed to withstand high levels of particle radiation and wouldn’t last a day in the Van Allen belts. As a result, most spacecraft travel quickly through the belts toward their destinations, and non-essential instruments are turned off for protection during this brief time.
To conquer the challenge of extreme radiation in the belts while continuing the science begun by Explorer 1, NASA launched a pair of radiation-shielded satellites, the Van Allen Probes, in 2012. (The rocket that carried the Van Allen Probes into space was more than twice as tall as the rocket that carried Explorer 1 to orbit!)
The Van Allen Probes carry identical instruments and orbit Earth, following one another in highly elliptical, nearly identical orbits. These orbits bring the probes as close as about 300 miles (500 kilometers) above Earth’s surface, and take them as far out as about 19,420 miles (31,250 kilometers), traveling through diverse areas of the belts. By comparing observations from both spacecraft, scientists can distinguish between events that occur simultaneously throughout the belts, those that happen at only a single point in space, and those that move from one point to another over time.
The Van Allen Probes carry on the work begun by Explorer 1 and, like all successful space missions, are providing answers as well as provoking more questions. NASA continues to explore Earth and space using spacecraft launched aboard a variety of rockets designed to place these observatories in just the right spots to return data that will answer and inspire questions for years to come.
- *NEW* Build a Satellite (Grades 5-8) – Students will use the engineering design process to design, build, test and improve a model satellite intended to investigate the surface of a planet.
- Rocket Lessons and Activities (Grades K-9) – Use these exciting lessons to help your students experience the thrill of building their own rockets using the engineering design process!
- Earth Science Lessons and Activities (Grades K-12) – Use these lessons to engage your students in studying Earth from space!
- Build Your Own Space Mission – Have younger students play this game to place instruments aboard a spacecraft and launch it into space!
- Download the GLOBE Observer app and have students be citizen scientists in support of NASA Earth science missions! Learn more about how to participate.
LoriAnn Pawlik recently shared her NASA-inspired lesson during a professional development workshop hosted by the agency. LoriAnn teaches STEM to grades K-5 at Penn Elementary School in Prince William County, Virginia, which focuses on students learning English, as well as those with learning disorders and autism. When she recently came across a lesson on the NASA/JPL Edu website, she saw an opportunity to bring real-world NASA data to her students.
How do you use NASA in the classroom?
Using the lesson “How to Read a Heat Map” as a jumping-off point, LoriAnn had her students first dive into the practice of reading and interpreting graphs. From here, she extended the lesson with an exploration of NASA satellites and the data they collect, focusing on the Gravity Recovery And Climate Experiment, or GRACE mission, to tie in with a community science night on water science.
GRACE was launched in 2002 to track changes in the distribution of liquid water, ice and land masses on Earth by measuring changes in the planet’s gravity field every 30 days. Circling Earth 16 times each day, GRACE spent more than 15 years collecting data – all of which is available online – before its science mission ended last October. The mission provided students the perfect context to study climate and water through authentic NASA data.
How did students react to the lesson?
LoriAnn set the stage for her students by explaining to them that they would be providing their data to NASA scientists.
“I told them that I was working on a project for a scientist from NASA-JPL and that we needed their help,” she said via email. “By the time I gave them the background and showed a brief GRACE video, they were all in – excited, eager enthusiastic! It helped that each table, or ‘engineering group,’ was responsible for a different U.S. state.”
As a result, students were able to plot the changes in gravitational fields for multiple locations over several years.
What are other ways you use NASA lessons or resources?
By extending the lesson, LoriAnn gave her students a sense of authentic ownership of the data and practice in real scientific analysis. But it wasn’t her first time uniting NASA science with her school curriculum:
“I'd been working with our second-graders on field studies of habitats,” LoriAnn explained. “We observed, journaled and tracked the migration of monarch butterflies, discussed what happened to habitats of living things since Hurricane Harvey and Hurricane Irma were just going through, and then I used the [NASA Mars Exploration website] to have students extend the findings to space habitats.”
Have a great idea for implementing NASA research in your class or looking to bring NASA science into your classroom? The Educator Professional Development Collaborative, or EPDC, can help. The EPDC at JPL serves educators in the greater Los Angeles area. Contact JPL education specialist Brandon Rodriguez at email@example.com. Note: Due to the popularity of EPDC programs, JPL may not be able to fulfill all requests.
Outside the Southern California area? The EPDC operates in all 50 states. Find an EPDC specialist near you.
The EPDC is managed by Texas State University as part of the NASA Office of Education. A free service for K-12 educators nationwide, the EPDC connects educators with the classroom tools and resources they need to foster students’ passion for careers in STEM and produce the next generation of scientists and engineers.
In the News
Earth Day, the day set aside each year to celebrate our planet and bring attention to the natural world, is on April 22, 2017. More than one billion people are expected to participate in Earth Day events around the globe that will draw attention to what we know about Earth, how it is changing and how we can be kind to our home planet.
One of the ways that NASA participates – not just on Earth Day, but also year-round – is by collecting and analyzing science data from sensors on Earth and satellites. These data allow us to monitor the health of our planet and better understand how and why it is changing.
This year, to highlight the importance of these data, NASA is inviting people to “adopt” a portion of Earth’s surface and obtain a snapshot of some of the satellite data available for their adopted location. Even though you’ll have no legal or ownership rights to this region, it will be fun to learn about the various types of data available for different locations on Earth. Find out how you can participate.
How It Works
NASA’s fleet of Earth-observing satellites and airborne sensors provides us with data about such vital information as carbon dioxide, carbon monoxide, global land and sea temperature, ice, sea surface salinity, and chlorophyll – just to name a few. The satellites and sensors collect these data over time and from as many perspectives as possible, allowing us to discern trends in the data.
A snapshot of data is just one piece of a much larger puzzle because it only gives us an indication of what was happening at the exact moment that data was captured. Even data collected over a year has its limitations because local conditions may ebb and flow over longer time periods. Collecting data about multiple elements of the Earth system over decades or centuries enables us to develop correlation and causation models, powerful indicators of why trends are developing as they are. And using multiple platforms (satellite, aerial, Earth-based) to measure data enables us to validate our data sets.
Why It’s Important
Humans are dependent on a healthy and functioning Earth to survive, which means we need to keep a close eye on all Earth systems and our impacts on those systems. This process of collecting data over time from multiple perspectives, discerning trends and validating the data is crucial to understanding our planet and helping policymakers formulate actions we can take to preserve Earth for future generations.
First, introduce students to the kinds of data scientists use to study Earth. Participate in NASA’s Adopt the Planet campaign to receive a snapshot of Earth science data for one patch of Earth. Then encourage students to dig deeper with these standards-aligned lessons:
- *NEW* Lesson: Earth Science Data Visualizations – How to Read a Heat Map – Students learn to read, interpret and compare “heat map” representations of Earth science data.
- Lesson: Graphing Sea Level Trends – In this activity, students will use sea-level rise data to create models and compare short-term trends to long-term trends. They will then determine whether sea-level rise is occurring based on the data.
- Lesson: Graphing Global Temperature Trends – Students use global temperature data to create models and compare short-term trends to long-term trends.
- Lessons in Sea Level Rise – What is sea-level rise and how does it affect us? This "Teachable Moment" looks at the science behind sea-level rise and offers lessons and tools for teaching students about this important climate topic.
- Earth Science Lessons
- NASA Eyes on the Earth
- NASA’s Earth Observatory
- NASA’s Worldview
- Earth Vital Signs
- Earth Minute Videos
Update – Feb. 24, 2017: The deadline for the Cassini Scientist for a Day Essay Contest has passed. The winners will be announced in May 2017.
In the News
Next week, NASA’s Cassini spacecraft will go where no spacecraft has gone before when it flies just past the edge of Saturn’s main rings. The maneuver is a first for the spacecraft, which has spent more than 12 years orbiting the ringed giant planet. And it’s part of a lead-up to a series of increasingly awesome feats that make up the mission’s “Grand Finale” ending with Cassini’s plunge into Saturn on Sept. 15, 2017.
How They’ll Do It
Cassini's ring-grazing orbits, which will take place from late Novemeber 2016 through April 2017, are shown here in tan. The blue lines represent the path that Cassini took in the time leading up to the new orbits during its extended solstice mission. Image credit: NASA/JPL-Caltech/Space Science Institute | › Larger image
To prepare for the so-called “ring-grazing orbits,” which will bring the spacecraft within 56,000 miles (90,000 km) of Saturn, Cassini engineers have been slowly adjusting the spacecraft’s orbit since January. They do this by flying Cassini near Saturn’s large moon Titan. The moon’s gravity pulls on the spacecraft, changing its direction and speed.
On November 29, Cassini will use a big gravitational pull from Titan to get into an orbit that is closer to perpendicular with respect to the rings of Saturn and its equator. This orbit will send the spacecraft slightly higher above and below Saturn’s north and south poles, and allow it to get as close as the outer edge of the main rings – a region as of yet unexplored by Cassini.
This graphic illustrates the Cassini spacecraft's trajectory, or flight path, during the final two phases of its mission. The view is toward Saturn as seen from Earth. The 20 ring-grazing orbits are shown in gray; the 22 grand finale orbits are shown in blue. The final partial orbit is colored orange. Image credit: NASA/JPL-Caltech/Space Science Institute | › Larger image
Why It’s Important
Cassini’s ring-grazing orbits will allow scientists to see features in Saturn's rings, up close, that they’ve only been able to observe from afar. The spacecraft will get so close to the rings, in fact, that it will pass through the dusty edges of the F ring, Saturn’s narrow, outermost ring. At that distance, Cassini will be able to study the rings like never before.
Among the firsts will be a “taste test” of Saturn’s rings from the inside out, during which Cassini will sample the faint gases surrounding the rings as well as the particles that make up the F ring. Cassini will also capture some of the best high-resolution images of the rings, and our best views of the small moons Atlas, Pan, Daphnis and Pandora, which orbit near the rings' outer edges. Finally, the spacecraft will do reconnaissance work needed to safely carry out its next planned maneuver in April 2017, when Cassini is scheduled to fly through the 1,500-mile (2,350-kilometer) gap between Saturn and its rings.
These orbits are a great example of scientific research in action. Much of what scientists will be seeing in detail during these ring-grazing orbits are features that, despite Cassini’s 12 years at Saturn, have remained a mystery. These new perspectives could help answer questions scientists have long puzzled over, but they will also certainly lead to new questions to add to our ongoing exploration of the ringed giant.
As part of the Cassini Scientist for a Day Essay Contest, students in grades 5-12 will write an essay describing which of these three targets would provide the most interesting scientific results. › Learn more and enter
What better way to share in the excitement of Cassini’s exploration than to get students thinking like NASA scientists and writing about their own questions and curiosities?
NASA’s Cassini Scientist for a Day Essay Contest, open to students in grades 5-12, encourages students to do just that. Participants research three science and imaging targets and then write an essay on which target would provide the most interesting scientific results, explaining what they hope to learn from the selected target. Winners of the contest will be featured on NASA’s Solar System Exploration website and get an opportunity to speak with Cassini scientists and engineers via video conference in the spring.
More information, contest rules and videos can be found here.
The deadline to enter is Feb. 24, 2017.
- Find educational lessons and activities about Saturn
- Discover free educational materials and resources about Saturn
- Students can discover more about Saturn with these slideshows, games and videos
- Download this timeline featuring milestones from Cassini's mission at Saturn or explore the interactive version!
- Explore the Cassini mission to Saturn website
- Browse our Cassini news archive
This summer, while many of us were sleeping in and avoiding heavy school work, lots of exciting things were happening in and around our solar system! Here's a guide to launching the 2016 school year right and turning those stellar events into educational connections from NASA.
Science on Fire
Here at home, on Earth, it is fire season in many places in the Northern Hemisphere. Fire season comes about with warmer temperatures, dry air, and dry brush. Once a fire gets started in these conditions, it can rapidly spread and become out of control, especially when high winds are involved. This summer has already witnessed some dangerous fires including the Sand Fire in Southern California and the Soberanes Fire near Big Sur on the Central California coast. Beyond the immediate threat from flames, smoke degrades air quality and burn scars leave hillsides vulnerable to rain-induced mudslides.
NASA satellites and airborne instruments are helping scientists better understand wildfires and their impacts on our changing climate. And in the immediate term, they are helping firefighters track wildfires and respond to people and structures in risk areas.
Check out JPL's latest Teachable Moment to find out more about how scientists are studying wildfires, what they're learning and why it's important. And get links to two new lessons for students in grades 3-12 that have students use NASA data, algebra and geometry to approximate burn areas, fire-spread rate and fire intensity. (You can also go straight to the new lessons at: Fired Up Over Math: Studying Wildfires from Space and Pixels on Fire)
And speaking of Earth science, find out how you can get a free bulletin board featuring posters and lithographs about NASA Earth science and missions for your classroom!
Greetings from Jupiter
On July 4, just in time for a fireworks spectacle, the Juno spacecraft went into orbit around Jupiter. Juno launched from Earth aboard a huge rocket and had been hurtling toward Jupiter for nearly five years. Getting into orbit around Jupiter was a real nail-biter here at NASA's Jet Propulsion Laboratory (which helps manage the mission) and we are all very happy everything went as planned. Juno’s mission is to study the origin, core and magnetic fields of our solar system’s largest planet. Juno will orbit Jupiter for only about 20 months before Jupiter’s intense radiation environment takes a toll on the spacecraft.
Communicating with a spacecraft as far away as Juno is a challenge that involves a lot of planning and teamwork. Try out this new lesson for young learners that demonstrates this process and provides practice with number concepts, counting and geometry, and data collection in a concrete, active manner.
Wish you had your very own Juno spacecraft you could use to uncover secrets beneath Jupiter? Check out this easy-to-build Juno model that uses household objects and can be used in a game with friends and family!
Explore more about Juno with these related lessons and videos:
In the News
Twenty years after the first discovery of a planet orbiting another sun-like star, scientists have discovered the most Earth-like exoplanet ever: Kepler-452b. Located in the habitable zone of a star very much like our sun, Kepler-452b is only about 60 percent wider than Earth.
What makes it the most Earth-like exoplanet ever discovered?
First a couple definitions: An exoplanet is simply a planet that orbits another star. And the habitable zone? That’s the area around a star in which water has the potential to be liquid -- not so close to the star that all water would evaporate, and not so far that all water would freeze. Think about Goldilocks eating porridge. The habitable zone is not too hot, and not too cold. It’s just right.
Okay, back to Kepler-452b. Out of more than a thousand exoplanets that NASA’s Kepler spacecraft has detected, only 12 have been found in the habitable zone of their stars and are smaller than twice the size of Earth, making Earth-like planets a rarity. Until this discovery, all of them have orbited stars that are smaller and cooler than our sun.
Kepler-452b is the first to be discovered orbiting a star that is about the same size and temperature as our sun. Not only that, but it orbits at nearly the same distance from its star as Earth does from our sun! Conditions on Kepler-452b could be similar to conditions here on Earth and the light you would feel there would be much like the sunlight you feel here on Earth. Scientists believe that Kepler-452b has been in the habitable zone for around six billion years -- longer than Earth has even existed!
How They Did It
The Kepler spacecraft, named for mathematician and astronomer Johannes Kepler, has been working since 2009 to find distant worlds like Kepler-452b. It does so by looking at more than 100,000 stars near the constellation Cygnus. If one of those stars dims temporarily, it could be that an object passed between the spacecraft and the star. If it dims with a repeatable pattern, there’s a good chance an exoplanet is passing by again and again as it orbits the star. The repeated dimming around one of those stars is what led to the discovery of Kepler-452b.
This exciting discovery provides opportunities for students to practice math skills in upper elementary and middle school, and gives high school students a practical application of Kepler’s third law of planetary motion. Take a look below to see where these might fit into your curriculum.
Upper Elementary and Middle School
After learning about Earth’s cousin, students might wonder about a trip to this world. Scientists have calculated the distance between Earth and Kepler-452b at 1,400 light years. A light year is a measure of distance that shows how far light travels in one year. It’s equal to about 10 trillion kilometers (six trillion miles) or, to be more precise, 9,461,000,000,000 kilometers (5,878,000,000,000 miles). Ask students to calculate the distance between Earth and Kepler-452b at various levels of precision, depending on what they are prepared for or learning. For an added challenge, have them determine how long it would take a fast moving spacecraft like Voyager 1 traveling at 61,000 kph (38,000 mph) to reach this new world.
Note: Due to the approximations of spacecraft speed and light year distance used for these problems in both standard and metric units, there is a variation among the answers.
Distance: 10 trillion km x 1,400 = 14,000 trillion km (that’s 14,000,000,000,000,000 kilometers!)
Travel time: 14,000 trillion km ÷ 61,000 kph ÷ 24 ÷ 365 ≈ 26,000,000 years
Distance: 6 trillion miles x 1,400 = 8,400 trillion miles (that’s 8,400,000,000,000,000 miles!)
Travel time: 8,400 trillion miles ÷ 38,000 mph ÷ 24 ÷ 365 ≈ 25,000,000 years
or more precisely…
Distance: 9,461,000,000,000 km x 1,400 = 13,245,400,000,000,000 km
Travel time: 13,245,400,000,000,000 km ÷ 61,000 kph ÷ 24 ÷ 365 ≈ 25,000,000 years
Distance: 5,878,000,000,000 miles x 1,400 = 8,229,200,000,000,000 miles
Travel time: 8,229,200,000,000,000 miles ÷ 38,000 mph ÷ 24 ÷ 365 ≈ 25,000,000 years
or using exponents and powers of 10…
Distance: 9.461 x 1012 x km x 1.4 x 103 = 1.32454 x 1016 km
Travel time: 1.32454 x 1016 km ÷ 6.1 x 104 kph ÷ 2.4 x 101 ÷ 3.65 x 102 ≈ 2.5 x 107 years
Distance: 5.878 x 1012 miles x 1.4 x 103 = 8.2292 x 1015 miles
Travel time: 8.2292 x 1015 miles ÷ 3.8 x 104 mph ÷ 2.4 x 101 ÷ 3.65 x 102 ≈ 2.5 x 107 years
Middle and High School
The time between detected periods of dimming, the duration of the dimming, and the amount of dimming, combined with a little math, can be used to calculate a great deal of information about an exoplanet, such as the length of its orbital period (year), the distance from its star, and its size.
Kepler-452b has an orbital period of 384.84 days -- very similar to Earth’s 365.25 days. Students can use the orbital period to find the distance from its star in astronomical units. An astronomical unit is the average distance between Earth and our Sun, about 150 million kilometers (93 million miles).
Kepler’s 3rd law states that the square of the orbital period is proportional to the cube of the semi-major axis of an ellipse about the sun. For planets orbiting other stars, we can use R = ∛(T2 ∙ Ms) where R = semi-major axis, T = orbital period in Earth years, and Ms = the mass of the star relative to our sun (the star that Kepler-452b orbits has been measured to be 1.037 times the mass of our sun).
T = 384.84 ÷ 365.25 = 1.05
R = ∛(1.052 ∙ 1.037)
R = ∛1.143 = 1.05 AU
- Exoplanet Travel Bureau Posters
- Video: What’s a “habitable zone?”
- Video: What’s in an Exoplanet Name?
Facts and Figures