Earth’s Circumference

Blue marble Earth. Image credit: NASA

The Earth’s circumference – the distance around the equator – is 40,075 kilometers around. That’s sounded nice and simple, but the question is actually more complicated than that. The circumference changes depending on where you measure it. The Earth’s meridional circumference is 40,008 km, and its average circumference is 40,041 km.

Why are there different numbers for the Earth’s circumference? It happens because the Earth is spinning. Think about what happens when you spin around holding a ball on a string. Your rotation creates a force that holds the ball out on the end of the string. And if the string broke, the ball would fly away. Even though the Earth is a solid ball of rock and metal, its rotation causes it to flatten out slightly, bulging at the equator.

That bulge isn’t very much, but when you subtract the meridional circumference (the equator when you pass through both poles), and the equatorial circumference, you see that it’s a difference of 67 km. In other words, if you drove your car around the equator of the Earth, you would drive an extra 67 km than you would if you drove from pole to pole to pole.

And that’s why the average circumference of Earth is 40,041 km. Which answer is correct? It depends on how accurate you want to be with your calculation.

We have written many articles about the Earth for Universe Today. Here’s an article about how fast the Earth rotates, and here’s an article about how round the Earth is.

Want more resources on the Earth? Here’s a link to NASA’s Human Spaceflight page, and here’s NASA’s Visible Earth.

We have also recorded an episode of Astronomy Cast about Earth, as part of our tour through the Solar System – Episode 51: Earth.

Chandrasekhar Limit

Subrahmanyan Chandrasekhar (credit: University of Chicago Press)

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When a human puts on too much weight, there is an increased risk of heart attack; when a white dwarf star puts on too much weight (i.e. adds mass), there is the mother of all fatal heart attacks, a supernova explosion. The greatest mass a white dwarf star can have before it goes supernova is called the Chandrasekhar limit, after astrophysicist Subrahmanyan Chandrasekhar, who worked it out in the 1930s. Its value is approx 1.4 sols, or 1.4 times the mass of our Sun (the exact value depends somewhat on the white dwarf’s composition how fast it’s spinning, etc).

White dwarfs are the end of the road for most stars; once they have used up all their available hydrogen ‘fuel’, low mass stars shed their outermost shells to form planetary nebulae, leaving a high density core of carbon, oxygen, and nitrogen (that’s a summary, it’s actually a bit more complicated). The star can’t collapse further because of electron degeneracy pressure, a quantum effect that comes from the fact that electrons are fermions (technically, only two fermions can occupy a given energy state, one spin up and one spin down).

So what happens in the core of a massive star, one whose core weighs in at more than 1.4 sols? As long as the star is still ‘burning’ nuclear fuel – helium, then carbon etc, then neon, then … – the core will not collapse because it is very hot (electron degeneracy pressure won’t hold it up ’cause it’s too massive). But once the core gets to iron, no more burning is possible, and the core will collapse, spectacularly, producing a core collapse supernova.

There is a way a white dwarf can go out with a bang rather than a whimper; by getting a little help from a friend. If the white dwarf has a close binary companion, and if that companion is a giant star, some of the hydrogen in its outer shell may end up on the white dwarf’s surface (there are several ways this can happen). The white dwarf thus adds mass, and every so often the thin hydrogen envelope blows up, and we see a nova. One day, though, the extra mass may put it over the limit, the Chandrasekhar limit … the temperature in its center gets high enough that the carbon ‘ignites’, the ‘flame’ spreads throughout the star, and it becomes a special kind of supernova, a Ia supernova.

For more technical details of the Chandrasekhar limit, Richard Fitzpatrick of the University of Texas at Austin has an online Thermodynamics & Statistical Mechanics course, which includes a page on the Chandrasekhar limit.

Supernovae are very important to astronomy, so you won’t be surprised to learn that there are lots of Universe Today stories on the Chandrasekhar limit! Some examples: White Dwarf Theories Get More Proof, White Dwarf “Close” to Exploding as Supernova, and Colliding White Dwarfs Caused a Powerful Supernova.

Astronomy Cast Episode 90 (The Scientific Method) includes a look at how Chandrasekhar worked out the limit that now bears his name, and Where Do Stars Go When They Die? also covers this topic.

References:
Wikipedia
http://www.bluffton.edu/~bergerd/NSC_111/stars.html

Interesting Facts About Comets

The force of gravity can cause comets to rip apart.

[/caption]There are many interesting facts about comets. Some are about the different parts of the comet, others are about the effects that comets have had on humans and their behavior. This article will let you know about the different parts of the comet, the orbital habits of a comet, and the effects that comets have had on human behavior.

There are several interesting facts about comets. The first ones involve their nucleus. Comet nuclei can range from about 100 meters to more than 40 kilometers across. They are composed of rock, dust, ice, and frozen gases such as carbon monoxide, carbon dioxide, methane, and ammonia. They have been described as “dirty snowballs”, but recent observations have revealed that they have dry dusty or rocky surfaces, suggesting that the ices are hidden beneath a crust. Comet nuclei also contain a variety of organic compounds in addition to the gases already mentioned, these may include methanol, hydrogen, hydrogen cyanide, formaldehyde, ethanol, and ethane. It is also thought that they may contain more complex molecules such as long-chain hydrocarbons and amino acids. Because of their low mass, comets cannot become round under their own gravity and will have irregular shapes. Surprisingly, cometary nuclei are among the darkest objects known to exist in the solar system. They often reflect approximately 4% of the light that falls them . In comparison, asphalt reflects 7% of the light that falls on it. It is thought that complex organic compounds are the dark surface material. The very darkness of cometary surfaces allows them to absorb the heat necessary to drive their outgassing.

The most visible part of a comet is the coma. As a comet approaches the inner solar system, radiation causes the volatile materials within the comet to vaporize and stream out of the nucleus, carrying dust away with them. The streams of dust and gas form a huge, extremely tenuous atmosphere around the comet called the coma, and the force exerted on the coma by the Sun’s radiation pressure and solar wind cause an enormous tail to form, which points away from the Sun.

The coma and tail are illuminated by the Sun and may become visible from Earth when a comet passes through the inner solar system, the dust reflecting sunlight directly and the gases glowing from ionization. The streams of dust and gas each form their own distinct tail, pointing in slightly different directions. The tail of dust is left behind in the comet’s orbit in such a manner that it often forms a curved tail called the antitail. At the same time, the ion tail, made of gases, always points directly away from the Sun. This is because gas is more strongly affected by the solar wind than is dust, following magnetic field lines rather than an orbital trajectory. While the solid nucleus of comets is generally less than 50 km across, the coma may be larger than the Sun, and ion tails have been observed to extend 1 AU or more.

Most comets have elongated elliptical orbits that take them close to the Sun for a part of their orbit, and then out into the further reaches of the Solar System for the remainder. Comets are often classified according to the length of their orbital period, the longer the period the more elongated the ellipse. Short period comets are generally defined as having orbital periods of less than 200 years. They usually orbit more-or-less in the ecliptic plane in the same direction as the planets. Their orbits typically take them out to the region of the outer planets at aphelion. Short-period comets are further divided into the Jupiter family (periods less than 20 years) and Halley family (periods between 20 and 200 years).

Long-period comets have highly eccentric orbits and periods ranging from 200 years to thousands or even millions of years. Their orbits take them far beyond the outer planets at aphelia, and the plane of their orbits need not lie near the ecliptic. Single-apparition comets are similar to long-period comets, but have parabolic or hyperbolic trajectories which will cause them to permanently exit the solar system after passing the Sun once.

Comets have been instilling fear and awe into us since man first began to look toward the sky. As early as 240 B.C. the Chinese began to document the appearance of Halley’s Comet. Ancient Greeks believed that comets resembled stars with hair flowing behind them. In ancient times, before scientists discovered what exactly comets are, many people believed that comets were a curse or a harbinger of tragedy and misfortune. It was this belief that comets were a sign of a curse that led the Roman Emperor Nero to order all of his potential successors to be executed. More recently, in 1910, as the Earth passed through Halley’s Comet’s tail, businessmen took advantage of people’s fears of impending doom and sold items such as gas masks, anti-comet pills, and umbrellas to protect users from the dangers of the comet.

There are interesting articles about comets here and another one here. Here on Universe Today there is a great article that lists many of the interesting facts about the solar system. Astronomy Cast has a very good episode about the icy outer solar system where many comets originate.

Source: NASA

What Are Comets Made Of?

Artists concept of the stardust spacecraft flying throug the gas and dust from comet Wild 2. Credit: NASA/JPL

[/caption]What are comets made of? Good question! Comet nuclei are loose collections of ice, dust and small rocky particles, ranging from a few kilometers to tens of kilometers across. As a comet approaches the inner solar system, solar radiation causes the volatile materials within the comet to vaporize and stream out of the nucleus, carrying dust away with them. The streams of dust and gas form a huge, extremely tenuous atmosphere around the comet called the coma, and the force exerted on the coma by the radiation pressure of the Sun and solar wind cause a tail to form. The tail always points away from the sun.

In order to understand what are comets made of, we need to break down the three main parts of the comet: the nucleus, coma, and tail. Comet nuclei are known to range from about 100 meters to more than 40 kilometers across. They are composed of rock, dust, ice and frozen gases such as carbon monoxide, carbon dioxide, methane, and ammonia. Sometimes called dirty snowballs, recent studies have shown that the ice of a comet is covered by a crust. Comets also contain a variety of organic compounds as well as the gases already mentioned. Some of these are methanol, hydrogen cyanide, formaldehyde, ethanol, and ethane. More complex molecules such as long-chain hydrocarbons and amino acids may also be in comets. Because of their low mass, comets cannot become spherical under their own gravity, and will thus have irregular shapes.

The coma is the the nebulous envelope around the nucleus of a comet. It is formed when the comet passes close to the Sun on a highly elliptical orbit. As the comet warms, parts of it turn from solid to gas(sublimate). Larger charged dust particles are left along the comet’s orbital path while smaller charged particles are pushed away from the Sun into the comet’s tail by solar wind. This helps astronomers distinguish comets from stars because it creates a fuzzy appearance.

The tail is illuminated by the Sun and may become visible from Earth when a comet passes through the inner solar system, the dust reflecting sunlight directly and the gases glowing from ionization. The streams of dust and gas each form their own distinct tail, pointing in slightly different directions. The tail of dust is left behind in the comet’s orbit in such a manner that it often forms a curved tail called the antitail. At the same time, the ion tail, made of gases, always points directly away from the Sun, as this gas is more strongly affected by the solar wind than is dust, following magnetic field lines rather than an orbital trajectory. Paralax viewing from the Earth may sometimes mean the tails appear to point in opposite direction.

Understanding the three parts of the comet is essential to know what are comets made of. Here is an article with a little more detail. Here on Universe Today there is a great article on a comet/asteroid hybrid. Astronomy Cast has another outstanding episode about solar dust.

Source: NASA

Gravity for Kids

Gravity of the Sun and Earth. Image credit: NASA

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What keeps us from floating off into space? Why does something I drop fall to the ground? Kids are famous for asking questions like this, which usually cause parents to mumble something about gravity or tell them they will learn it when they get older. Here are a number of resources that can answer some of those questions.

Kidipede explains what gravity is on the Earth and in the universe.

How Stuff Works has a number of experiments for kids regarding the laws of gravity.

Science Experiments  offers a simple science experiment about gravity for kids, including a video clip showing how to do the experiment.

The USGS has a simple definition of what gravity is.

This site explains that the reason things do not fall off the Earth is because of gravity.

Physics 4 Kids has information on gravity for children. It also covers the topics of planetary gravity and the Moon. Additionally, the site has other links to different resources.

Spaghetti Box Kids has an experiment that teaches kids about density and gravity. The project involves making miniature hot air balloons.

About.com offers information on Sir Isaac Newton and tells about his work regarding gravity and his three laws.

Teacher Tech has an entire lesson plan mapped out around Sir Isaac Newton. It teaches about Newton and his three laws of motion. Additionally, it has a quiz for students and two science experiments involving gravity and motion.

Science Monster makes learning about gravity fun and easy. In addition to providing easy to understand definitions of gravity and intertia, the website has a game you can play that further reinforces the concepts.

This is a video clip from NASA showing how important gravity is in our everyday lives. It also has links to other video clips from NASA. This material is rated for grades 5 through 12 according to NASA.

Kids Konnect  has links to a variety of sources related to gravity including NASA. The site also has a number of links to information about Sir Isaac Newton who is famous for his work regarding gravity.

Universe Today has articles on planets for kids and Solar System projects for kids.

If you are looking for more information, check out Kids Astronomy and Primary Games.

Astronomy Cast has an episode on gravitational waves.

Armillary Sphere

Armillary sphere with astrononomical clock Credit: Chris Bainbridge

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Despite the fact that the term “armillary sphere” sounds like a high-tech weapon or something from a science fiction movie, it is neither. An armillary sphere is an old tool that is supposed to represent the heavens. They were models of what scientists thought the heavens looked like and how they were suppose to have moved. The armillary sphere is also known as the spherical astrolabe, the armilla, or the armil. The armillary sphere is related to the astrolabe, which was a navigation tool used for determining the position of the Sun and stars and used by sailors for navigating.

The armillary sphere was invented hundreds of years ago. The identity of who created the sphere has been debated. Some credit its invention to a Greek named Eratosthenos. Others have said that the Chinese or other Greek scholars invented it. Regardless of its inventor, the armillary sphere is one of the oldest astronomical instruments in the world. In addition to its being used in the Greek world, the armillary sphere was also used throughout Asia and the Islamic Empire.

These devices were used as teaching tools and models. The models were used to show the difference between the Ptolemaic and Copernican theories of the Solar System. In the Copernican theory, the Sun is the center of our Solar System, while the Earth is the center of the Solar System according to the Ptolemaic theory. When armillary spheres were first invented, the Ptolemaic theory was still the accepted view. It was soon after armillary spheres were invented that Copernicus set forth his theory of the Sun as the center of the Solar System, although it was not widely accepted until centuries later.

The armillary sphere looks like a sphere circled by a ring and set upon a base. Armillary spheres were made with different numbers of circles arranged at various angles. Spheres with both four and nine circles have been known to exist – as well as ones with different numbers. These rings would then be adjusted in order to trace the path of the stars.

The armillary sphere also turns up in the Portugal flag, originally as a symbol for the country’s colony Brazil. The armillary sphere was widely used for navigating at sea, and exploration was heavily promoted by the Portugese royalty. In the early 1800’s, the sign was removed from the national flag when Brazil gained its independence. However, it was replaced in 1911 after Portugal became a Republic. You can still purchase armillary spheres today, although some of them are extremely expensive, especially if they are antiques.

Universe Today has articles on Solar System projects  and parallax.

If you are looking for further information, check out how to build an armillary sphere and astrolabes.

Astronomy Cast has an episode on telescopes.

Source: Wikipedia

Magnetic North Pole

The movement of Earth's north magnetic pole across the Canadian arctic, 1831--2001 (Geological Survey of Canada)
The movement of Earth's north magnetic pole across the Canadian arctic, 1831--2001 (Geological Survey of Canada)

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The Earth has a magnetic field, known as the magnetosphere, that protects our planet from the particles of the solar winds. One point of that field is known as the Magnetic North Pole. The Magnetic North Pole is not the geographic North Pole; it is actually hundreds of miles south of the geographic North Pole and north of Canada.

Hundreds of years ago, European navigators believed that the needles of compasses were attracted to some “magnetic mountain” or “island” thought to be located in the far north. Some also believed that the needles could be attracted to the Pole Star, which is part of the Ursa Minor constellation and has long been used in navigation. One English philosopher, William Gilbert, proposed that the Earth acts like a giant magnet; he also was the first person to state that the Earth’s magnetic field points vertically downward at the Magnetic North Pole. It took hundreds of years before scientists came to properly understand our planet’s magnetic field, although this is known to be correct now.

All magnets have two poles, like the “plus” and “minus” signs found on batteries. Instead of these locations being named plus and minus though, they were named the North and South Magnetic Poles. It is toward the Magnetic North Pole that your compass points not the geographic North Pole, which makes sense considering it utilizes magnets to determine direction. At the Magnetic North Pole, the magnetic fields points down vertically; in other words it has a 90° “dip” toward the Earth’s surface. The counterpart of the Magnetic North Pole is the Magnetic South Pole. Because the Earth’s magnetic field is not perfectly symmetrical, the magnetic fields are not antipodal. That means that if you draw a straight line between them, it does not pass through the Earth’s center. It is off by approximately 530 km. The North and South Magnetic Poles are also known as Magnetic Dip Poles because they “dip” at a 90° angle towards the Earth.   

The Magnetic North Pole continues to move around. According to the Geological Survey of Canada, which routinely studies the Magnetic North Pole, the pole moves as much as 40 km per year. It also moves daily. Every day, the Magnetic North Pole has an elliptical movement of approximately 80 km from the average point of its center. That means when you are using a compass, you have to be aware of the difference between magnetic north and geographic north.

Universe Today has articles on Earth’s magnetic field and modeling the Earth’s magnetic field.

For more information, check out the Magnetic North Pole and geomagnetism.

Astronomy Cast has an episode on Earth.

References:
Earth’s Inconstant Magnetic Field
Earth’s Magnetic Field and its Changes in Time

What is the Fastest Jet In The World?

If you’re thinking the X-15 still holds the record for the fastest jet in the world, think again. That title is now owned by NASA’s X-43A. The unmanned aircraft hit Mach 9.6 (nearly 10 times the speed of sound) on November 16, 2004 at an altitude of 33,223 meters over the Pacific Ocean.

Of course, if you’re talking about manned flights, the X-15 with its Mach 6.72 speed is still king of the hill.

Both the X-15 and the X-43A are experimental aircrafts, designed to test new technologies and are usually associated with record-breaking feats. The X-15, for example, was specially designed to reach altitudes and speeds never achieved before.

Pilots of these planes were considered astronauts since many X-15 flights exceeded 50-mile altitudes. Many of them practically reached what is known as the Karman line a.k.a. the ‘edge of space’. That’s about 100 km above sea level.

If you’re looking for an aircraft that’s actually been put to use outside gathering experimental data, then the record holder is the SR-71 “Blackbird”. The Blackbird used to cruise at Mach 3.2 and was used primarily for reconnaissance missions.

Anyway, back to the fastest jet in the world – whether manned or unmanned.

As mentioned earlier, the X-43A, like its reputable predecessor, the X-15, is an experimental aircraft. Specifically, the the X-43 was part of the NASA Hyper-X program, a 7-yr program that cost around $230M and was launched to explore other options for space access vehicles.

At the heart of the X-43 is the scramjet or Supersonic Combustion Ramjet. You can think of it as an upgraded version of the ramjet – the kind of engine used by the SR-71. The Supersonic Combustion Ramjet basically takes in oxygen, which is needed for combustion, directly from the atmosphere. In order to create thrust, rockets mix liquid oxygen with liquid fuel.

In the usual jet plane setup, a tank of liquid oxygen has to be carried as additional load. Take that tank away, and you get a smaller, lighter plane. The added benefits are so enormous that engineers who embarked on scramjet research predicted speeds that could go up to 15 times the speed of sound.

Although the current record held by the scramjet-powered X-43A only achieved a fraction of that, Mach 9.6 is still way above what other planes have achieved.

To give you an idea how fast the fastest jet in the world is, compared to others, imagine this: there are more than 30 jets that are faster than the speed of sound and yet almost all of them have top speeds either way below or only near Mach 3. Mach 9.6 is definitely way way faster than that.

We have some articles in Universe Today that are related to this one. Here are two of them:

Related articles brought to you by NASA, here are the links:

Tired eyes? Let your ears help you learn for a change. Here are some episodes from Astronomy Cast that just might suit your taste:

Source: NASA

Space Wallpapers

Earthrise
Earthrise

Here are some amazing space wallpapers. If you want to make one of these your computer desktop wallpaper, just click on the image. That will take you to a much larger version of the image. You can then right-click on the image and choose, “Set as Desktop Background”. That will make any of these space wallpapers your desktop background.

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This is one of the most famous space photographs every taken. It’s called “Earthrise”, and it was captured by the crew of Apollo 8 as they were orbiting around the Moon. They saw the Earth rising over the Moon’s horizon and captured this amazing photograph.


Earth from space
Earth from space

NASA created this amazing wallpaper as part of its celebration for Sun-Earth day in 2008. You can see the Sun shining just outside of the photograph above.


Supernova 1054 AD
Supernova 1054 AD

Almost 1000 years ago, a star detonated in the sky as a supernova, shining brilliantly for a few days. After it faded away, it was replaced by this amazing nebula.


Star formation in the Eagle Nebula
Star formation in the Eagle Nebula

This amazing space wallpaper shows active star formation in the Eagle Nebula. These newly forming stars are blasting out huge clouds of gas and dust into space.


Saturn wallpaper
Saturn wallpaper

Here’s a beautiful image of Saturn captured by NASA’s Cassini spacecraft during a time that it was positioned over the planet’s pole.

We have got lots of image galleries here in Universe Today. Here are some Earth wallpapers, and here are some Venus wallpapers.

You can also download some cool space wallpapers from NASA’s JPL, and here are some wallpapers from Hubble.

You might also want to try listening to an episode of Astronomy Cast. Here’s an episode just about the Hubble Space Telescope.

Mount Krakatoa

Illustration of the Krakatoa eruption.

[/caption]Mount Krakatoa is a volcanic island found in Indonesia. Its most famous eruption in 1883 is one of the biggest in recorded history. You guessed it right; Krakatoa belongs to the Pacific Ring of Fire, the volatile horseshoe-shaped area bordering the Pacific Ocean.

Better known as Krakatau in Indonesia, its eruption in 1883 produced a series of tsunamis that smashed into 165 coastal villages in Java and Sumatra. 36,000 people perished when those giant waves hit. Most of those who were killed during the 1883 eruption, which lasted for two days (Aug 26 to 27), were actually victims of the tsunamis.

Some of the giant waves from that eruption, which rose up to 40 meters, managed to reach the southern part of the Arabian Peninsula, some 7,000 km away. When the 2004 Indian Ocean Tsunami (a.k.a. the 2004 Indonesian Tsunami) struck, it reminded the scientific community of the 1883 eruption because of the proximity of their points of origin.

The eruption also had a large impact on the global climate. On the average, temperature dropped by as much as 1.2ºC in the succeeding year. In the years that followed, global climates were very erratic, stabilizing only 4 years after.

Mount Krakatoa’s lava was known to be made of dacite or rhyolite. This explains the magnitude of its eruption. Generally speaking, volcanic eruptions are more explosive if their lava is composed of dacite or rhyolite. They are cooler and stickier than basalt, allowing them to accumulate pressure before being set free.

Although the 1883 eruption destroyed more than 60% of the volcanic island, a submarine eruption in 1927 produced a new island in its stead. This volcano is aptly called Anak Krakatau, which is Indonesian for “Child of Krakatoa”. Anak Krakatau’s radius is estimated to be 2 kilometers and rises up to a maximum height of 300 meters above sea level. Studies have shown in to be growing at a rate of 5 meters per year.

Before 1883, three volcanoes known as Rakata, Danan, and Perbuwatan combined to what then became Krakatoa island.

Mount Krakatoa is an example of a stratovolcano, a tall, conical volcano with multiple strata of solidified lava, tephra, as well as volcanic ash. These type of volcanoes typically have steep sides and usually erupt frequently & violently. Most of the popular eruptions have been made by stratovolcanoes. Other known stratovolcanoes are Mount St. Helens and Mount Pinatubo.

Indonesia is the country that holds the biggest number of active volcanoes, at 130. Iceland, another volcano-dotted country, holds about the same number (of volcanoes) but not all are as active as those in Indonesia.

We have some articles in Universe Today that are related to Mount Krakatoa. Here are two of them:

Mount Krakatoa articles brought to you by USGS. Here are the links:

Tired eyes? Let your ears help you learn for a change. Here are some episodes from Astronomy Cast that just might suit your taste:

Sources:
http://vulcan.wr.usgs.gov/Volcanoes/Indonesia/description_krakatau_1883_eruption.html
http://hvo.wr.usgs.gov/volcanowatch/2003/03_05_22.html