Shock waves! Fast-moving particles! Magnetic fields! This image has it all. Behold the merging galaxy clusters MACS J0717+3745 about five billion light-years from our planet.
That funny red thing you see in the center is new data from the Karl G. Jansky Very Large Array showing a spot where “shocks caused by the collisions are accelerating particles that then interact with magnetic fields and emit the radio waves,” officials at the National Radio Astronomical Observatory stated.
“The complex shape of this region is unique; we’ve never spotted anything like this before,” stated Reinout van Weeren, an Einstein Fellow at the Harvard-Smithsonian Center for Astrophysics. “The shape probably is the result of the multiple ongoing collisions.”
This is a composite image of new exposures from VLA and the Chandra X-Ray Observatory, with an older image from the Hubble Space Telescope. And if you take a second look, there’s also a black hole: “The straight, elongated radio-emitting object is a foreground galaxy whose central black hole is accelerating jets of particles in two directions,” NRAO added. “The red object at bottom-left is a radio galaxy that probably is falling into the cluster.”
Astronomers presented their findings at the American Astronomical Society meeting this week in Boston.
Some terms in astronomy definitely have a PR problem, and are perhaps due for an overhaul. One such awkward term is occultation, which simply means that one celestial body is passing in front of another from an observer’s vantage point, nothing more, and nothing less. I know, the word ‘occult’ is in there, raising many a non-astronomically minded eyebrow and evoking astronomy’s hoary astrological past. You can even use it as a verb in this sense, as in to ‘occult’ one body with another. A planet or asteroid can occult a star, your cat can occult your laptop’s screen, and the Moon can occult a star or planet, as occurs on Tuesday, June 10th when the waxing gibbous Moon occults the planet Saturn for observers across the southern Indian Ocean region.
Of course, most of us will see a near miss worldwide. This is parallax in motion, as differing vantage points on the surface of the planet Earth see the Moon against a different starry background.
And we’re currently in the midst of a cycle of occultations of the planet Saturn in 2014, as the Moon occults it 11 times this year, nearly once for every lunation. The Moon actually occults planets 22 times in 2014, 24 if you count the occultations of 1 Ceres and 4 Vesta on September 28th, with Saturn getting covered by the Moon once again on the same date! Saturn tops the list in the number of times it’s occulted by the Moon this year, as it’s the slowest moving of the planets and fails to hustle out of the Moon’s way until November, after which a series of occultations of the ringed planet won’t resume again until December 9th, 2018.
The shadow footprint of the June 10th occultation just makes landfall over southwestern Australia near Perth, a slice of Antarctica, and a scattering of southern Indian Ocean islands and the southern tip of South Africa in and around Cape Town. Note that the phase of the Moon is changing by about 30 degrees of ecliptic longitude as well during each successive occultation of Saturn. Next week’s event occurs as the Moon is at a 93% waxing gibbous illuminated phase this month and soon will occur when the Moon is a crescent. What’s especially interesting is the dark limb of the Moon is always the leading edge during waxing phases; this means that any stars or planets in its way get hidden (or ingress) under its shady nighttime edge.
Central conjunction for Saturn and the Moon actually occurs at around 19:00 Universal Time on June 10th. The Moon rises at around 6:00 PM local on this date, and North American observers will see Saturn 4 degrees from the limb of the Moon and at an elevation of 28 degrees above the horizon at dusk. Unfortunately, the best occultation of Saturn by the Moon for North America in 2014 occurs in the daytime on August 31st, though you can indeed catch Saturn in the broad daylight through a telescope with good sky transparency if you know exactly where to look for it… a nearby daytime Moon certainly helps!
Unlike stellar occultations, blockages of planets by the Moon are leisurely events, and lend themselves to some pretty amazing video sequences. You can actually get a sense of the motion of the Moon as you watch it slowly cover the planet’s disk, in real time. It might also be fun to catch the occultation of Saturn’s brightest moon, +9th magnitude Titan. Hey, a moon occulting a moon, a sort of cosmic irony…
Saturn spends all of 2014 in the astronomical constellation of Libra. The Moon moves on to Full on Friday the 13th — triskaidekaphobics take note — at 4:13 UT/00:13 AM EDT. This is the closest Full Moon to the northward solstice which occurs on June 21st at 10:51 UT/6:51 AM EDT, meaning that while the Sun rides high in the sky during the day, the rising Full Moon transits low to the south at night. In the southern hemisphere, the reverse is true in June.
The June Full Moon is also known as per ye ole Farmer’s Almanac as the Strawberry or Rose Moon.
So there you have it, occultations were evoked no less than 21 times in the writing of this post. We need a modern, hip, internet ready meme to supplant the term occultation… y’know, like “ring of fire” for and annular eclipse or minimoon for an apogee moon, etc… blockage? Covering? Enveloping? Let us know what you think!
Can you imagine a world that is 17 times as massive as Earth, but still rocky? Or two planets that are doomed to be swallowed up by their parent star in just a blink of astronomical time?
While these scenarios sound like science fiction, these are real-life finds released today (June 2) at the American Astronomical Association meeting in Boston.
Here’s a rundown of the finds about these planets in our ever-more-amazing universe.
‘Mega-Earth’ Kepler-10c
Spinning around its star every 45 days is Kepler-10c, which is about 2.3 times as large as Earth but a heavyweight, at 17 times more massive. The planet was discovered by the prolific NASA Kepler space telescope (which was sidelined after a reaction wheel failed last year, but now has been tasked with a new planet-hunting mandate.)
While initially astronomers thought Kepler-10c was a “mini-Neptune”, or a world that is similar to that planet in our solar system, its mass measured by the HARPS-North instrument on the Galileo National Telescope showed it was a rocky world. What’s more, astronomers believe the planet did not “let go” of any atmosphere over time, which implies the planet’s past is similar to what it was today.
Here’s the other neat thing: astronomers found that the system was 11 billion years old, at a time when the universe was young (it was formed 13.7 billion years ago) and the elements needed to make rocky planets were scarce. This implies that rocky planets could have formed earlier than previously thought.
“I was wrong that old stars do not have rocky planets, which has consequences about the Fermi Paradox,” the Harvard-Smithsonian Center for Astrophysics’s (CfA) Dimitar Sasselov said in a webcast press conference today (June 2). The Fermi Paradox, simply put, refers to the question of why we can’t see civilizations since they are assumed to have spread quite a ways since the universe was formed.
‘We’re doomed!’ Kepler-56b and Kepler-56c
If there was anybody in the vicinity of these two planets, you’d want to move out of the way fairly quickly — at least when talking about astronomical time. Both of these planets, whose orbits are within the equivalent distance of Mercury to the sun, are expected to be swallowed up by their star in 130 million years (for Kepler-56b) and 155 million years (Kepler-56c). It’s the first time two doomed planets have been found in a single system.
“Possibly the core of planet will be left behind and you [will] see this dead corpse floating behind in the universe,” said CfA’s Gongjie Li in the press conference.
There are two factors behind this: the size of the star will enlarge as it gets older (which is typical among stars) and the tidal forces between the planets and their star will also cause them to slow down in their orbits and rip apart. Interestingly enough, another gas giant planet called Kepler-56d will remain safe from most of the chaos since its orbit is equivalent to the asteroid belt in our own solar system.
“Looking at this system is like foreseeing our own solar system,” added Li, referring to the fact that in another five billion years or so our sun will enlarge and swallow Mercury and Venus at the least, boiling off all the oceans on our planet and killing anything left.
Windy City: Why living near a red dwarf might be a bad idea
One fertile ground for exoplanet discoveries — particularly when looking for planets about Earth’s size in the habitable zone — is red dwarfs, because they are smaller and therefore have less light to obscure any rocky worlds orbiting nearby. A new study warns that they could be less friendly to life than previously believed.
CfA’s Ofer Cohen said that red dwarfs can have intense stellar winds, when looking at the model of a known red dwarf with three planets around it: KOI 1422.02, KOI 2626.01, KOI 584.01. Even a magnetic field the size of Earth would not be able to protect the planet from being stripped of its atmosphere assuming a certain intensity of stellar flares.
A member of the audience pointed out that the red dwarf star under study likely has stronger winds than 95% of all red dwarfs, however. Cohen acknowledged that, but added “the main effect is not the stellar activity, but these giants are close to the star.” All the same, this could require a more nuanced understanding of the habitable zone around these stars, he added.
Heavy metal: Figuring out how much planets have
In astronomical terms, any elements heavier than hydrogen and helium are considered to be “metallic”. Past research found that metal-rich stars tend to have hot Jupiter exoplanets, while the smaller planets have a larger span of metal possibilities.
A team led by CfA’s Lars Buchhave surveyed more than 400 stars with 600 exoplanets, and found that planets smaller than 1.7 times the size of Earth are more likely to be rocky, while those than are 3.9 times the size of Earth or larger are likely gassy.
In between is a zone called “gas dwarfs”, which are planets 1.7 and 3.9 times the size of Earth that likely have hydrogen and helium atmospheres blanketing their surface.
Also intriguing: the researchers discovered that planets far away from their stars can get larger before picking up a lot of gas and becoming a “gas dwarf”, presumably because there isn’t as much gas material out there.
The team also discovered that stars with smaller, Earth-like worlds metallicities like our sun, while stars with “gas dwarfs” have more metals, and stars with gas giants have even more metals. But bear in mind these are for planets close to their host star, which are easiest for Kepler to find. Buchhave plans to do work for planets further away.
At any given moment, it seems, the sky is sizzling with celestial phenomena waiting to be stumbled upon. New research using the Long Wavelength Array (LWA), a collection of radio dishes in New Mexico, found quite the surprise. Fireballs — those brilliant meteors that leave behind glowing streaks in the night sky — unexpectedly emit a low radio frequency, hinting at new unexplored physics within these meteor streaks.
The LWA keeps its eyes to the sky day and night, probing a poorly explored region of the electromagnetic spectrum. It’s one of only a handful of blind searches carried out below 100 MHz.
Over the course of 11,000 hours, graduate student Kenneth Obenberger from the University of New Mexico and colleagues found 49 radio bursts, 10 of which came from fireballs.
Most of the bursts appear as large point sources, limited to four degrees, roughly eight times the size of the full Moon. Some, however, extend several degrees across the sky. On January 21, 2014, a source left a trail covering 92 degrees in less than 10 seconds (see above). The end point continued to glow for another 90 seconds.
The only known astrophysical object with this ability is a fireball. So Obenberger and colleagues set out to see if NASA’s All Sky Fireball Network had detected anything at the same location and time as the bursts.
While the network shares only a portion of the sky with the LWA, the fireballs seen in this direction matched fireballs caught by NASA. Additionally, most bursts did occur directly after the peak of a bright meteor shower.
The fireballs detected here are extremely energetic, traveling with an average velocity of 68 km/s, near the upper end of the meteorite velocity spectrum (from 11 km/s to 72 km/s).
They can be seen in the radio due to radio forward scattering. When fast-moving meteoroids strike Earth’s atmosphere they heat and ionize the air in their path. The luminous ionized trails reflect radio waves. During a meteor shower these waves can not only be picked up by vast arrays, such as the one in New Mexico, but by your TV and AM/FM radio transmitter.
Whereas most fireballs have been detected well over 100 MHz, “we’ve discovered that they also produce a low frequency pulse,” says Obenberger’s PhD advisor, Gregory Taylor.
This pulse is telling us something about the physical conditions in the plasma created by the meteor. “It could be cyclotron radiation (emitted from moving charges in a magnetic field), or perhaps some sort of plasma wave leakage from the trail, or maybe something completely different,” says Obenberger. “It’s too early to tell at the moment.”
Meteors come in a range of energies and sizes. So investigating this unexpected signature further will yield new insights into the interaction between meteors and our atmosphere.
“This is just the beginning,” says Taylor. “Now we have to put this new technique to use — find out more about the spectrum of the pulse and the meteors that produce it. It’s an entirely new way of looking at meteors and how they interact with our atmosphere.”
If you’re curious what’s currently emitting radio waves in the New Mexico sky check out the LWA’s live radio cam.
The paper was published in Astrophysical Journal Letters today and is available for download here.
Got any plans Tuesday? Good. Keep them but know this. That day around 3 p.m. CDT (20:00 UT) asteroid 2014 KH39 will silently zip by Earth at a distance of just 272,460 miles (438,480 km) or 1.14 LDs (lunar distance). Close as flybys go but not quite a record breaker. The hefty space rock will buzz across the constellation Cepheus at nearly 25,000 mph (11 km/sec) near the Little Dipper at the time.
Observers in central Europe and Africa will have dark skies for the event, however at magnitude +17 the asteroid will be too faint to spot in amateur telescopes. No worries. The Virtual Telescope Project, run by astrophysicist Gianluca Masi, will be up and running with real-time images and live commentary during the flyby. The webcast begins at 2:45 p.m. CDT June 3.
2014 KH39 was discovered on May 24 by Richard Kowalski of the Catalina Sky Survey. (Kowalski is the same astronomer who discovered asteroid 2008 TC3, the small asteroid that impacted in Sudan in 2008). Further observations by the CSS and additional telescopes like Pan-STARRS 1 in Hawaii nailed down its orbit as an Earth-approacher with an approximate size of 72 feet (22 meters). That’s a tad larger than the 65-foot Chelyabinsk asteroid that exploded into thousands of small stony meteorites over Russia in Feb. 2013.
Since this asteroid will safely miss Earth we have nothing to fear from the flyby. I only report it here to point out how common near-Earth asteroids are and how remarkable it is that we can spot them at all. While we’re a long ways from finding and tracking all potentially hazardous asteroids, dedicated sky surveys turn up dozens of close-approaches every year. On the heels of 2014 KH39, the Earth-approaching asteroid 2014 HQ124 will pass 3.3 LDs away 5 days later on June 8. With a diameter estimated at more than 2,100 feet (650-m) it’s expected to become as bright as magnitude +13.7. Southern hemisphere observers might track it with 8-inch and larger telescopes as its speeds across Horologium and Eridanus the morning before closest approach.
Perusing the current list of upcoming asteroid approaches, these two will be our closest visitors at least through early August. Near-Earth objects (NEOs) are comets and asteroids whose original orbits have been re-worked by the gravity of the planets – primarily Jupiter – into new orbits that allow them to approach relatively close to Earth. The ones we’re most concerned about are a subset called Potentially Hazardous Asteroids or PHAs, defined as objects that approach within 4.65 million miles (7.48 million km) of Earth and span 500 feet (150-m) across or larger. The key word here is ‘potential’. PHAs won’t necessarily hit the Earth – they only have the potential to do so over the vastness of time. On the bright side, PHAs make excellent targets for sampling missions.
As of May 30, 2014, 11,107 near-Earth objects have been discovered with 860 having a diameter of 1 km or larger. 1,481 of them have been further classified as potentially hazardous. NASA’s Near-Earth Object Program estimates that over 90% of NEOs larger than 1 km (the most potentially lethal to the planet) have been discovered and they’re now working to find 90% of those larger than 459 feet (140 meters) across. Little by little we’re getting to better know the neighborhood.
The probability that either 2014 KH39 and 2014 HQ124 will hit Earth on this round is zero. Nor do we know of any asteroid in the near future on a collision course with the planet. Enjoy the day.
What a multitude of worlds! A new study suggests that the Milky Way could host 100 million planets with complex life, leaving no lack of choice for astronomers to look for organisms beyond Earth. The challenge is, however, that these worlds might be too far away from us to do much yet.
“On the one hand, it seems highly unlikely that we are alone,” stated Louis Irwin, lead author of the study and professor emeritus at the University of Texas at El Paso. “On the other hand, we are likely so far away from life at our level of complexity, that a meeting with such alien forms is extremely improbable for the foreseeable future.”
The figure came from studying a list of more than 1,000 exoplanets for metrics such as their density, temperature, chemistry, age and distance from the parent star. From this, Irwin’s team formulated a “biological complexity index” that ranges between 0 and 1.0. The index is rated on “the number and degree of characteristics assumed to be important for supporting multiple forms of multicellular life,” the research team stated.
Assuming that Europa (a moon of Jupiter believed to have an ocean below its ice) is a good candiate for life, the team estimated that 1% to 2% of exoplanets would have a BCI that is even higher than that. So to translate that into some estimates: 10 billion stars in the Milky Way, averaging one planet a star, which brings us to 100 million planets minimum.
So what does this metric mean? There’s of course no guarantee that complex life exists in any of these places — just that the conditions could be conducive to life. Also, the researchers added, don’t assume that any life in this category would be intelligent life, but more life that is more complex than a microbe. And the known planets with higher BCIs tend to be pretty far away from us. (One of the closest is the Gliese 581 system, which is 20 light-years away.)
“Planets with the highest BCI values tend to be larger, warmer, and older than Earth,” added Irwin, “so any search for complex or intelligent life that is restricted just to Earth-like planets, or to life as we know it on Earth, will probably be too restrictive.”
Faster than you can say “trans-Neptunian object” three times, the reaches beyond Neptune’s orbit start to fill out in this animation. And it’s astounding. Dots representing icy bodies large and small fill the area.
What’s more sobering is realizing how little we knew about this region 20 years ago. Pluto was the first object in that region discovered in 1930, and it wasn’t until 1992 QB1 was discovered that our understanding of this neighborhood increased, wrote creator Alex Parker, a planetary astronomer at the University of California, Berkeley.
“Made this for a talk I gave today. I think it came out pretty nice,” Parker wrote yesterday (May 29) on Twitter.
Parker added on the video page: “This animation illustrates the approximate relative sizes and the true orbital motion of all known trans-Neptunian objects with average orbital distances (semi-major axes) greater than Neptune’s. The objects are revealed on the date of their discovery. Data extracted from the Minor Planet Center database.”
On Twitter, he also provided a link to another visualization of asteroid discoveries between 1980 and 2011 by Scott Manley:
Titan — that smoggy, orangy moon circling Saturn — is of great interest to exobiologists because its chemistry could be good for life. It has a thick atmosphere of nitrogen and methane and likely has lakes filled with liquid hydrocarbons, and scientists believe there is enough light filtering down into the atmosphere to drive chemical reactions.
It turns out the moon could also be a good analog to help us understand the atmospheres of exoplanets far beyond our solar system. From looking at sunsets on the moon, scientists led by NASA believe that a thick atmosphere could influence how we perceive a planet from afar.
First, a bit of information about how scientists learn about planet atmospheres in the first place. When a distant planet passes in front of its parent star, the light from the star passes through the atmosphere and gets distorted.
The spectra that telescopes pick up can then tell scientists information about what the atmosphere is made of, what temperature it is, and how it is structured. (This science, it should be noted, is in its very early stages and works best on very large exoplanets that are relatively close to Earth, since the planets are so small and far away.)
“Previously, it was unclear exactly how hazes were affecting observations of transiting exoplanets,” stated Tyler Robinson, a postdoctoral research fellow at NASA’s Ames Research Center who led the research. “So we turned to Titan, a hazy world in our own solar system that has been extensively studied by Cassini.”
To do this, Robinson’s team used data from the Cassini spacecraft during four solar occultations, or times when Titan passed in front of our own sun from the perspective of the spacecraft. They found out that the moon’s hazy atmosphere makes it difficult to figure out what is in its spectra.
“The observations might be able to glean information only from a planet’s upper atmosphere,” NASA stated. “On Titan, that corresponds to about 90 to 190 miles (150 to 300 kilometers) above the moon’s surface, high above the bulk of its dense and complex atmosphere.”
The haze is even more powerful in the shorter (bluer) wavelengths of light, which contradicts previous studies assuming that all wavelengths of light would have the same distortions. Models of exoplanet atmospheres usually have simplified spectra because hazes are complex to model, requiring a lot of computer power.
Researchers hope to take these observations of Titan and then use them to better inform how exoplanet models are created.
The research was published May 26 in the Proceedings of the National Academy of Science.
A recent space rock discovery has sent a minor buzz through the community that tracks such objects. And as usual, it has also begun to attract the dubious attention of those less than honorable sites — we won’t dignify them with links — that like to trumpet gloom and doom, and we thought we’d set the record straight, or at very least, head the Woo off at the pass as quickly as possible.
The asteroid in question is 2014 KM4. Discovered earlier this month, this 192 metre space rock safely passed by the Earth-Moon system at 0.17 A.U.s distant on April 21st. No real biggie, as asteroids pass lots closer all the time. For example, we just had a 6-metre asteroid named 2014 KC45 pass about 48,000 miles (about 80,000 kilometres) from the Earth yesterday morning. That’s about twice the distance of the orbit of geosynchronous satellites and 20% the distance to the Moon.
Sure, it’s a dangerous universe out there… you only have to stand in the Barringer Meteor Crater in Arizona outside of Flagstaff or watch the videos of a meteor exploding over Chelyabinsk last year the day after Valentine’s Day to know that. But what makes 2014 KM4 interesting is its orbit and its potential to approach Jupiter in about seven years.
Or not. One dilemma with orbital mechanics is that the precision of a known orbital path relies on the number of observations made and that position gets more and more uncertain as we project an object’s position ahead in space and time. 2014 KM4 is on a 5.08 year orbit inclined 5.2 degrees to the ecliptic plane that brings it juuusst inside the Earth’s orbit — hence the Apollo designation — and out to an aphelion point very near Jupiter at 5.2 A.U.s from the Sun. But that’s only based on 14 observations made over a span of 5 days. The current nominal trajectory sees 2014 KM4 pass about 0.1 A.U. or 15.5 million kilometres from Jupiter on January 16th 2022. That’s inside the orbit of Jupiter’s outermost moons, but comfortably outside of the orbit of the Galilean moons. The current chance of 2014 KM4 actually impacting Jupiter sits at around 1% and the general trend for these kinds of measurements is for the probability to go down as better observations are made. This is just what happened last year when comet 2013 A1 Siding Spring was discovered to pass very close to Mars later this year on October 19th.
We caught up with JPL astronomer Amy Mainzer, Principal Investigator on the NEOWISE project currently hunting for Near Earth Asteroids for her thoughts on the subject.
“The uncertainty in this object’s orbit is huge since it only has a 5 day observational arc,” Mainzer told Universe Today. “A quick check of the JPL NEO orbit page shows that the uncertainty in its semi-major axis is a whopping 0.47 astronomical units! That’s a huge uncertainty.”
“At this point, any possibility of impact with Jupiter is highly uncertain and probably not likely to happen. But it does point out why it’s so important to extend observational arcs out so that we can extend the arc far enough out so that future observers can nab an object when it makes its next appearance.”
IF (that less than 1% “IF”) 2014 KM4 were to hit Jupiter, it would represent the most distant projection ahead in time of such an event. About two decades ago, humanity had a front row seat to the impact of comet Shoemaker-Levy 9 into Jupiter in July 1994. At an estimated 192 metres in size, 2014 KM4 is about the size of the “D” fragment that hit Jupiter on July 17th 1994. 2014 KM4 has an absolute magnitude (for asteroids, this is how bright they’d appear at 1 A.U. distant) of +21.3 and is currently well placed for follow up observations in the constellation Virgo.
And astronomer Nick Howes mentioned to Universe Today that the Faulkes Telescope North may soon be used to make further observations of 2014 KM4. In the meantime, you can enjoy the animation of their observations of another Near-Earth Asteroid, 2014 KP4.
And yes, the 2022 pass of 2014 KM4 near Jupiter will modify the orbit of the asteroid… but not in our direction. Jupiter is a great “goal tender” in this regard, protecting the inner solar system from incoming hazards.
2014 KM4 is well worth keeping an eye on, but will most likely vanish from interest until it returns to our neck of the solar system in 2065. And no, a killer asteroid won’t hit the Earth in 2045, as a CNN iReport (since removed) stated earlier this week… on “March 35th” no less. Pro-tip for all you conspiracy types out there that think “Big NASA” is secretly hiding the next “big one” from the public: when concocting the apocalypse, please refer to a calendar for a fictional date that at least actually exists!
Astronomy is a discipline pursued at a distance. And yet, actually measuring that last word — distance — can be incredibly tricky, even if we set our sights as nearby as the Moon.
But now astronomers from the University of Antioquia, Colombia, have devised a clever method that allows citizen scientists to measure the Moon’s distance with only their digital camera and smartphone.
“Today a plethora of advanced and accessible technological devices such as smartphones, tablets, digital cameras and precise clocks, is opening a new door to the realm of ‘do-it-yourself-science’ and from there to the possibility of measuring the local Universe by oneself,” writes lead author Jorge Zuluaga in his recently submitted paper.
While ancient astronomers devised clever methods to measure the local Universe, it took nearly two millennia before we finally perfected the distance to the Moon. Now, we can bounce powerful lasers off the mirrors placed on the Lunar surface by the Apollo Astronauts. The amount of time it takes for the laser beam to return to Earth gives an incredibly precise measurement of the Moon’s distance, within a few centimeters.
But this modern technique is “far from the realm and technological capacities of amateur astronomers and nonscientist citizens,” writes Zuluaga. In order to bring the local Universe into the hands of citizen scientists, Zuluaga and colleagues have devised an easy method to measure the distance to the Moon.
The trick is in observing how the apparent size of the Moon changes with time.
While the Moon might seem larger, and therefore closer, when it’s on the horizon than when it’s in the sky — it’s actually the opposite. The distance from the Moon to any observer on Earth decreases as the Moon rises in the sky. It’s more distant when it’s on the horizon than when it’s at the Zenith. Note: the Moon’s distance to the center of the Earth remains approximately constant throughout the night.
The direct consequence of this is that the angular size of the moon is larger — by as much as 1.7 percent — when it’s at the Zenith than when it’s on the horizon. While this change is far too small for our eyes to detect, most modern personal cameras have now reached the resolution capable of capturing the difference.
So with a good camera, a smart phone and a little trig you can measure the distance to the Moon yourself. Here’s how:
1.) Step outside on a clear night when there’s a full Moon. Set your camera up on a tripod, pointing at the Moon.
2.) With every image of the Moon you’ll need to know the Moon’s approximate elevation. Most smartphones have various apps that allow you to measure the camera’s angle based on the tilt of the phone. By aligning the phone with the camera you can measure the elevation of the Moon accurately.
3.) For every image you’ll need to measure the apparent diameter of the Moon in pixels, seeing an increase as the Moon rises higher in the sky.
4.) Lastly, the Moon’s distance can be measured from only two images (of course the more images the better you beat down any error) using this relatively simple equation:
where d(t) is the distance from the Moon to your location on Earth, RE is the radius of the Earth, ht(t) is the elevation of the Moon for your second image, α(t)
is the relative apparent size of the Moon, or the apparent size of the Moon in your second image divided by the initial apparent size of the Moon in your first image and ht,0 is the initial elevation of the Moon for your first image.
So with a few pictures and a little math, you can measure the distance to the Moon.
“Our aim here is not to provide an improved measurement of a well-known astronomical quantity, but rather to demonstrate how the public could be engaged in scientific endeavors and how using simple instrumentation and readily available technological devices such as smartphones and digital cameras, any person can measure the local Universe as ancient astronomers did,” writes Zuluaga.
The paper has been submitted to the American Journal of Physics and is available for download here.