Monday, March 14, 2016

Halley's Comet: Facts About the Most Famous Comet

By Pratyashu Shekhar

An image of Halley's Comet taken in 1986.
An image of Halley's Comet taken in 1986.
Credit: NASA

Halley's Comet is arguably the most famous comet. It is a "periodic" comet and returns to Earth's vicinity about every 75 years, making it possible for a human to see it twice in his or her lifetime. The last time it was here was in 1986, and it is projected to return in 2061.

The comet is named after English astronomer Edmond Halley, who examined reports of a comet approaching Earth in 1531, 1607 and 1682. He concluded that these three comets were actually the same comet returning over and over again, and predicted the comet would come again in 1758.

Halley didn't live to see the comet's return, but his discovery led to the comet being named after him. (The traditional pronunciation of the name usually rhymes with valley.) Halley's calculations showed that at least some comets orbit the sun.

Further, the first Halley's Comet of the space age – in 1986 – saw several spacecraft approach its vicinity to sample its composition. High-powered telescopes also observed the telescope as it swung by Earth.

Halley's in history

The first known observation of Halley's took place in 239 B.C., according to the European Space Agency. Chinese astronomers recorded its passage in the Shih Chi and Wen Hsien Thung Khao chronicles.

When Halley's returned in 164 B.C. and 87 B.C., it probably was noted in Babylonian records now housed at the British Museum in London. "These texts have important bearing on the orbital motion of the comet in the ancient past," noted a Nature research paper about the tablets.

This portion of the Bayeux Tapestry shows Halley's Comet during its appearance in 1066. Credit: Public domain

Halley's most famous appearance occurred shortly before the 1066 invasion of England by William the Conquerer. It is said that William felt the comet heralded his success. In any case, the comet was put on the Bayeux Tapestry – which chronicles the invasion – in William's honor.

Another appearance of the comet in 1301 possibly inspired Italian painter Giotto's rendering of the Star of Bethlehem in "The Adoration of the Magi," according to the Britannica encyclopedia.

Astronomers in these times, however, saw each appearance of Halley's Comet as an isolated event. Comets were often foreseen as a sign of great disaster or change.

Even when Shakespeare wrote his play "Julius Caesar" around 1600, just 105 years before Edmond Halley calculated that the comet returns over and over again, one famous phrase spoke of comets as heralds: "When beggars die there are no comets seen; The heavens themselves blaze forth the death of princes."

Discovery of Halley's recurrence

Astronomy began changing swiftly around the time of Shakespeare, however. Many astronomers of his time held that Earth was the center of the solar system, but Nicolaus Copernicus – who died about 20 years before Shakespeare's birth – published findings showing that the center was actually the sun.

It took several generations for Copernicus' calculations to take hold in the astronomy community, but when they did, they provided a powerful model for how objects move around the solar system and the universe.

Edmond Halley

Edmond Halley published "A Synopsis of the Astronomy of Comets" in 1705, cataloguing what he had found from searching historical records of 24 comets appearing near Earth between 1337 to 1698. Three of those observations appeared to be very similar in terms of orbit and other parameters, leading Halley to propose that one comet might be visiting Earth again and again.

The comet appeared in 1531, 1607 and 1682. Halley suggested the same comet could return to Earth in 1758. Halley did not live long enough to see its return – he died in 1742 – but his discovery inspired others to name the comet after him.

On each successive journey to the inner solar system, astronomers on Earth turned their telescopes skyward to watch Halley's approach.

The comet's pass in 1910 was particularly spectacular, as the comet flew by about 13.9 million miles (22.4 million kilometers) from Earth, which is about 1/15 the distance between Earth and the Sun. On that occasion, Halley's was captured on camera for the first time.

According to biographer Albert Bigelow Paine, the writer Mark Twain said in 1909, "I came in with Halley's Comet in 1835. It is coming again next year, and I expect to go out with it." Twain died on April 21, 1910, one day after perihelion, when the comet emerged from the far side of the sun.

This photo of Halley's comet was taken by the Russian Vega 2 spacecraft, one of two Soviet probes (Vega 1 was the other) to rendezvous with the comet during its 1986 trip through the solar system in March 1986. The closest approach of Vega 1 to Halley was 8890 km while Vega 2 had a close encounter at 8030 km. Credit: ESA

Halley's in the Space Age

When Halley's Comet came by Earth in 1986, it was the first time we could send spacecraft up to look at it.

That was a fortunate occurrence, as the comet ended up being underwhelming in observations from Earth. When the comet made its closest approach to the sun, it was on the opposite side of that star from the Earth – making it a faint and distant object, some 39 million miles away from Earth.

Several spacecraft successfully made the journey to the comet. This fleet of spaceships is sometimes dubbed the "Halley Armada." Two joint Soviet/French probes (Vega 1 and 2) flew nearby, with one of them capturing pictures of the heart or nucleus of the comet for the first time.

The European Space Agency's Giotto got even closer to the nucleus, beaming back spectacular images to Earth. Japan sent two probes of its own (Sakigake and Suisei) that also obtained information on Halley.

Additionally, NASA's International Cometary Explorer (already in orbit since 1978) captured pictures of Halley from 17.3 million miles (28 million kilometers away.)

"It was inevitable that this most famous of all comets would receive unprecedented attention, but the actual magnitude of the effort has surprised even most of those involved in it," NASA noted in an account of the event.

Sadly, the astronauts aboard Challenger's STS-51L mission were also scheduled to look at the telescope when they arrived in the orbit, but they never got the chance. The shuttle exploded about two minutes after launch on Jan. 28, 1986, due to a rocket malfunction.

It will be many decades until Halley's gets close to Earth again, but in the meantime you can see its remnants every year. The Orionid meteor shower, which is spawned by Halley's fragments, occurs annually in October. Halley's also produced a shower in May, called the Eta Aquarids.

When Halley's sweeps by Earth in 2061, the comet will be on the same side of the sun as Earth and will be much brighter than in 1986.

One astronomer predicted it could be as bright as apparent magnitude -0.3. This is relatively bright, but well below that of the brightest star in Earth's sky: Sirius, at magnitude -1.4 as seen from Earth.

Saturday, March 5, 2016

 Minkowski diagram

The Minkowski diagram, also known as a spacetime diagram, was developed in 1908 by Hermann Minkowski and provides an illustration of the properties of space and time in the special theory of relativity. It allows a qualitative understanding of the corresponding phenomena like time dilation and length contraction without mathematical equations.
The term Minkowski diagram is used in both a generic and particular sense. In general, a Minkowski diagram is a graphic depiction of a portion of Minkowski space, often where space has been curtailed to a single dimension. These two-dimensional diagrams portray worldlines as curves in a plane that correspond to motion along the spatial axis. The vertical axis is usually temporal, and the units of measurement are taken such that the light cone at an event consists of the lines of slope plus or minus one through that event.

A particular Minkowski diagram illustrates the result of a Lorentz transformation. The horizontal corresponds to the usual notion of simultaneous events, for a stationary observer at the origin. The Lorentz transformation relates two inertial frames of reference, where an observer makes a change of velocity at the event (0, 0). The new time axis of the observer forms an angle α with the previous time axis, with α < π/4. After the Lorentz transformation the new simultaneous events lie on a line inclined by α to the previous line of simultaneity. Whatever the magnitude of α, the line t = x forms the universal bisector.