Galileo: the Telescope & the Laws of Dynamics
Galileo Galilei (1564-1642) was
a pivotal figure in the development of modern astronomy, both because of his
contributions directly to astronomy, and because of his work in physics and its
relation to astronomy. He provided the crucial observations that proved the
Copernican hypothesis, and also laid the foundations for a correct understanding
of how objects moved on the surface of the earth (dynamics) and of gravity.
Newton, who was
born the same year that Galileo died, would build on Galileo's ideas to
demonstrate that the laws of motion in the heavens and the laws of motion on the
earth were one and the same. Thus, Galileo began and Newton completed a
synthesis of astronomy and physics in which the former was recognized as but a
particular example of the latter, and that would banish the notions of Aristotle
almost completely from both.
One could, with considerable justification, view
Galileo as the father both of modern astronomy and of modern physics.
The Telescope
Galileo did not invent the telescope (Dutch spectacle
makers receive that credit), but he was the first to use the telescope to study
the heavens systematically. His little telescope was poorer than even a cheap
modern amateur telescope, but what he observed in the heavens rocked the very
foundations of Aristotle's universe and the theological-philosophical worldview
that it supported. It is said that what Galileo saw was so disturbing for some
officials of the Church that they refused to even look through his telescope;
they reasoned that the Devil was capable of making anything appear in the
telescope, so it was best not to look through it.
Sunspots
Galileo observed the Sun through his telescope and saw that the Sun had dark
patches on it that we now call sunspots (he eventually went blind,
perhaps from damage suffered by looking at the Sun with his telescope).
Furthermore, he observed motion of the sunspots indicating that the Sun was
rotating on an axis. These "blemishes" on the Sun were contrary to the
doctrine of an unchanging perfect substance in the heavens, and the rotation of
the Sun made it less strange that the Earth might rotate on an axis too, as
required in the Copernican model. Both represented new facts that were unknown
to Aristotle and Ptolemy.
The Moons of Jupiter
Galileo observed 4 points of light that changed their positions with time around
the planet Jupiter. He concluded that these were objects in orbit around
Jupiter. Indeed, they were the 4 brightest moons of Jupiter, which are now
commonly called the Galilean moons (Galileo himself called them the Medicea
Siderea---the ``Medician Stars''). Here is an animation
based on actual observations of the motion of these moons around Jupiter.
These observations again showed that there were new things in the heavens
that Aristotle and Ptolemy had known nothing about. Furthermore, they
demonstrated that a planet could have moons circling it that would not be left
behind as the planet moved around its orbit. One of the arguments against the
Copernican system (and the original heliocentric idea of Aristarchus) had been
that if the moon were in orbit around the Earth and the Earth in orbit around
the Sun, the Earth would leave the Moon behind as it moved around its orbit.
The Phases of Venus
Galileo used his telescope to show that Venus went through a complete set of
phases, just like the Moon. This observation was among the most important in
human history, for it provided the first conclusive observational proof that was
consistent with the Copernican system but not the Ptolemaic system.

The crucial point is the empirical fact that Venus is never very far from the
Sun in our sky. Thus, as the following diagrams indicate, in the Ptolemaic
system Venus should always be in crescent phase as viewed from the Earth because
as it moves around its epicycle it can never be far from the direction of the
sun (which lies beyond it), but in the Copernican system Venus should exhibit a
complete set of phases over time as viewed from the Earth because it is
illuminated from the center of its orbit.
It is important to note that this was the first empirical evidence (coming
almost a century after Copernicus) that allowed a definitive test of the two
models. Until that point, both the Ptolemaic and Copernican models described the
available data. The primary attraction of the Copernican system was that it
described the data in a simpler fashion, but here finally was
conclusive evidence that not only was the Ptolemaic universe more complicated,
it also was incorrect.
Myriad Observations Showing Phenomena Unknown to Aristotle
In addition to the observations noted above, Galileo made many other
observations that undermined the authority on which the Ptolemaic universe was
built. Some of these included
- Showing that the planets were disks, not points of light, as seen through
the telescope.
- Showing that the great "cloud" called the Milky Way (which we
now know to be the disk of our spiral galaxy) was composed of enormous
numbers of stars that had not been seen before.
- Observing that the planet Saturn had "ears". We now know that
Galileo was observing the rings of Saturn, but his telescope was not good
enough to show them as more than extensions on either side of the planet.
- Showing that the Moon was not smooth, as had been assumed, but was covered
by mountains and craters.
As each new wonder was observed, increasing doubt was cast on the prevailing
notion that there was nothing new to be observed in the heavens because they
were made from a perfect, unchanging substance. It also raised the credibility
issue: could the authority of Aristotle and Ptolemy be trusted concerning the
nature of the Universe if there were so many things in the Universe about which
they had been completely unaware?
Galileo and the Leaning Tower
Galileo made extensive contributions to our understanding of the laws
governing the motion of objects. The famous Leaning Tower of Pisa experiment may
be apocryphal. It is likely that Galileo himself did not drop two objects of
very different weight from the tower to prove that (contrary to popular
expectations) they would hit the ground at the same time. However, it is certain
that Galileo understood the principle involved, and probably did similar
experiments. The realization that, as we would say in modern terms, the
acceleration due to gravity is independent of the weight of an object was
important to the formulation of a theory of gravitation by Newton. Here is an animation
of experiments with inclined planes that Galileo probably did to confirm these
ideas, and here is a page with some MPEG
film clips illustrating the same ideas. Here are additional MPEG
filmclips illustrating Galileo's experiments concerning the motion of
projectiles in a gravitational field.
Galileo and the Concept of Inertia
Perhaps Galileo's greatest contribution to physics was his formulation of the
concept of inertia: an object in a state of motion possesses an
``inertia'' that causes it to remain in that state of motion unless an external
force acts on it. In order to arrive at this conclusion, which will form the
cornerstone of Newton's laws of motion (indeed, it will become Newton's First
Law of Motion), Galileo had to abstract from what he, and everyone else, saw.
Most objects in a state of motion do NOT remain in that state of motion. For
example, a block of wood pushed at constant speed across a table quickly comes
to rest when we stop pushing. Thus, Aristotle held that objects at rest remained
at rest unless a force acted on them, but that objects in motion did not remain
in motion unless a force acted constantly on them. Galileo, by virtue of a
series of experiments (many with objects sliding down inclined planes), realized
that the analysis of Aristotle was incorrect because it failed to account
properly for a hidden force: the frictional force between the surface
and the object.
Thus, as we push the block of wood across the table, there are two
opposing forces that act: the force associated with the push, and a force that
is associated with the friction and that acts in the opposite direction. Galileo
realized that as the frictional forces were decreased (for example, by placing
oil on the table) the object would move further and further before stopping.
From this he abstracted a basic form of the law of inertia: if the frictional
forces could be reduced to exactly zero (not possible in a realistic experiment,
but it can be approximated to high precision) an object pushed at constant speed
across a frictionless surface of infinite extent will continue at that speed
forever after we stop pushing, unless a new force acts on it at a later time.
Galileo and the Church
Galileo's challenge of the Church's authority through his assault on the
Aristotelian conception of the Universe eventually got him into deep trouble
with the Inquisition. Late in his life he was forced to recant publicly his
Copernican views and spent his last years essentially under house arrest. His
story certainly constitutes one of the sadder examples of the conflict between
the scientific method and "science" based on unquestioned authority.
Unfortunately, there still are many forces in modern society that would shackle
the scientific method of open enquiry in idealogical chains of one kind or
another.