Comets

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Dr. Gregory Beekman

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Something Wicked This Way Comes

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The first observations of comets were made not for their astronomical (i.e. scientific) worth but for their astrological significance: they were believed to be omens in the sky. For example, the Bayeux Tapestry depicts Halley's Comet above the battle of 1066, which the Norman's won. They believed that the comet had foretold of their victory over the English King Harold. Atahuallpa, the last native ruler of Peru, linked the death of a man to a comet that had appeared in the constellation of Perseus. But the astrological connection of comets with disasters was a tenuous one at best. Comets were associated with Mars, and it was Mars that caused wars and the destruction of peoples ..

It wasn't until the 15th century that comets were systematically observed, by Toscanelli, Regiomantanus and Walther. The main emphasis now was on their precise co-ordinates and orbit in space. However, people of those days subscribed to the Aristotelian view of the Universe and assumed (wrongly) that the comets were closer than the Moon, and that they were of atmospheric origin. Fracastro, in 1538, discovered that cometary tails always point away from the Sun, and led to the idea that a comet was actually a lens, the tail being explained as the focussing of the Sun's rays through it. There were many criticisms of this model, but the idea of a comet as a spherical lens took a long time to die out.

The 16th and 17th centuries saw the destruction of the Aristotelian view of the Universe, but it took a long time for this to happen. Tycho Brahe (born in Denmark in 1546) was the greatest naked-eye, pre-telescope observer that has ever lived, achieving unprecedented accuracy in his astronomical measurements. In 1572 he was the first to observe a "new" star that had appeared in the W-shaped constellation of Cassiopeia. (Nowadays we would call this "new" star a supernova, a violent explosion marking the end of a stars life.) According to Aristotle, the "spheres" beyond the Moon were unchanging but here was a new star clearly in contradiction with that view.

In 1577, another comet appeared. This became as bright as Venus, and had a huge 22 degree-long tail. Michael Mastlin, Kepler's teacher, observed this comet and placed it beyond the distance of the Moon; instead, he placed it on the same sphere as Venus. Tycho Brahe also observed this comet, and was the first to calculate the comets trajectory. He placed it beyond even the sphere of Venus, describing it "as if it were a fortuitous and extraordinary planet". Although he praised Mastlin, he emphasised that there were no real spheres in the heavens.

Another comet appeared in 1580, for which Mastlin could find no measurable parallax (which depends on distance). He thus concluded that the comet was further away than the Moon, indicating that the Aristotelian view of physics was wrong, and began openly attacking it. All of these arguments helped to create an atmosphere that would eventually lead to the destruction of the old physics over the next two centuries.

In the early 1600s there were discussions of the (then unknown) laws that governed the paths of the planets and their relation with the newly emerging science of dynamics. It was believed that there was some sort of central (sun-directed) force of attraction that controlled the motion of the planets but what this was and how it operated, no-one was entirely sure. This discussion was stimulated by the comet of 1644. There was an attempt to derive the new comets path by assuming (following Kepler) that it followed a straight line at constant speed, but they could not explain it's orbit.

A few months later, another comet appeared which helped to stir a flagging interest in the problem of orbital motion. It soon became evident, however, that this problem was beyond the powers of all concerned. For example, Robert Hooke tried a circular orbit to the comet, but favoured the straight line idea with some sort of solar attractive power. He also suggested the existence of an all-pervading ether that was vibrating, with the vibrations diminishing as the distance from the Sun increased.

It wasn't until Edmond Halley visited Isaac Newton in Cambridge in 1684 that the problem was solved. Halley asked Newton what path a planet would follow if the solar attractive force decreased in strength with the square of the distance out from the Sun, explaining that Wren, Hooke and he had been unable to solve the problem. Newton, equipped with his newly invented mathematical calculus, was able to show that the path taken would be elliptical (i.e. egg-shaped). He also showed that comets would follow similar paths.

After Halley had seen the brilliant work that Newton was doing, he pushed hard for Newton to publish it. It is said that if it were not for Halley, Newton's Principia would never have been published: it became the founding stone of modern physics. However, Newton's work aroused some philosophical hostility. Leibniz objected to the idea of "action at a distance" (i.e. gravity) and likened it to magic. Many others were extremely uneasy by the idea that gravity could act through empty space.

Halley himself was also a brilliant thinker and contributed much in his day, but he is best known for his work on comets. He analysed cometary orbits and came to the conclusion that the comets of 1531, 1607 and 1682 were actually sightings of the same comet. He was then able to predict, even taking into account the perturbing affect of Jupiter's gravity, that it would return in December 1758. It duly did and served to emphasise, in blazing fashion, the correctness of Newtonian over Aristotelian physics.

Who Threw That Dirty Snowball?

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It is believed that comets (from the Greek, meaning "long-haired star") come from the Oort Cloud. This is envisaged as a roughly spherical shell thought to lie about 1000 times further from the Sun than Pluto, with a radius of perhaps up to one third of the distance to the nearest stars. It would therefore contain billions of comets. Disturbances caused by the passage of nearby stars sends some of these comets towards the planets, where they are captured by the solar gravity and forced into an orbit around the Sun.

Around 800 comets have been observed sufficiently well enough for these orbits to be determined, showing that most are elliptical. About four fifths of these are long-period comets that take hundreds, thousand or even millions of years to complete one orbit of the Sun. "Old" comets are those that have been perturbed by the giant planets, principally Jupiter and Saturn, into smaller orbits. Sometimes, these perturbations cause the comet to be ejected from the solar system altogether (e.g. Bowell 192I).

The best description of a comet is that of Fred Whipple's dirty snowball:

ices of ammonia, hydrocarbons, carbon dioxide and water that cement meteoritic particles of stone together. Far from the Sun, the comet is cold and shows no head or tail. In this cold state, comets are only a few tens of kilometres across. As their elliptical orbit brings them closer to the Sun, the ices begin to vapourise, releasing the dust particles they contained. As the comet gets closer still to the Sun, more material is stripped from it's surface, flying off in all directions. A huge ball of gas and dust then surrounds the cometary nucleus, known as the head or coma of the comet: this coma is usually hundreds of thousands of kilometres across.

As already mentioned, Fracastro in 1538 noticed that the tail of a comet always points away from the Sun. This shows that it is something emanating from the Sun and colliding with the coma of the comet that causes the tail to be produced. It was originally thought that pressure from the Sun's light was the mechanism doing this, but this is only half the answer.

Ludwig F. Biermann in the 1950s showed that the pressure from Sunlight was not enough, and that the force must be provided by a stream of particles travelling away from the Sun at speeds of hundreds of kilometres per second. Observing cometary tails allowed this supersonic streaming of material to be studied. When the first early space probes were flown (e.g. Lunik 1 and Mariner 2) they were able to record this stream of material high above the Earth's atmosphere, proving its existence. This invisible stream of subatomic particles is now know as the solar wind, and is continuously "blown out" from the Sun in all directions.

We are now in a position to explain cometary tails. Comets usually display two types of tail: one is curved and made of dust; the other is usually straight and made of gas. The curvature of the dust tail shows that the force pushing the dust out of the coma is only just larger than the attractive force of the Sun's gravity, i.e. it is collisions with the Sun's light which makes the dust tail. Consequently, the dust particles must be incredibly small, of order one micron (it would take about 1000 of these to make a ball the size of a bread-crumb). As the gas tail is very straight, the force pushing against these ionised molecules must be a few hundred times greater than the attractive force of the Sun's gravity, i.e. it is collisions with the solar wind which causes the gas tail.

Over the centuries, there have been some spectacular comets. Charles Messier, nicknamed the "Ferret of Comets" by Louis xiv of France because he had discovered so many of them, observed a six-tailed comet in 1744. He was not the only great comet hunter, though. Schiaparelli (made infamous by his observations of canali on Mars) observed the Great Comet of 1861, which was bright enough to cast shadows! Schiaparelli observed another comet (Swift-Tutle) in 1862 and was the first person to link comets with meteors. The particles of dust released from the comet spread out along the cometary orbit. When Earth passes through this orbit, the tiny specs of dust burn up in the atmosphere and are seen as shooting stars. It is this comet which produces the Perseid meteor shower in August. The body classified as minor planet No. 3200 (Phaethon) is the source of the Geminid meteor shower in December, and is probably a defunct comet.

Some comets do not die as gracefully as this, but meet a more catastrophic end. One example is Beila's comet. This had an orbital period of only seven years, and so was seen on numerous occasions during the 19th century. During the 1846 return, the coma became unusually bulbous near closest approach to the Sun, and eventually split into two. It was seen again in 1872, with the two parts well separated, but has never been seen since. In 1886, comet Brooke was perturbed by the gravity of Jupiter. Before it's encounter with the planet, Brooke's comet had an orbital period of 29.2 years that took it out beyond the orbit of Jupiter. After the encounter, the orbit was shrunk to lie totally within the orbit of Jupiter with a new orbital period of 7.1 years. Jupiter was also the culprit in more recent times. During the summer of 1995, comet Shoemaker-Levy 9 was broken into numerous pieces ("strung out like beads on a piece of string") by the gravitational influence of Jupiter, eventually colliding with this huge planet.

During the 1985/86 return of Comet Halley, numerous space probes were sent to investigate it. The European craft Giotto passed through the tail of the comet on the 13th March 1986. It recorded several thousand dust impacts, and large particles were found to be more abundant than previously thought. Pictures of Halley's blackened nucleus confirmed the dirty snowball interpretation of these spectacular long-haired stars.

The author of this leaflet, Dr Gregory Beekman, is an honours graduate of The University of Glasgow. When he wrote this article he was studying for a post doctorate degree at the Department of Astronomy at Keele University.

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Date Last Modified: 31 07 1999