Monday, May 3, 2021

Physical Science, 4th Quarter, Week 1: CELESTIAL SCIENCE

 

WEEK 1: CELESTIAL SCIENCE  

Name:

HE- A

HE- B

EIM

BEGIN

THE GREEKS KNEW THAT THE EARTH IS SPHERICAL.

TOPIC

EXAMPLES/APPLICATIONS/EXPLANATIONS

“Greek philosophers believed that the Earth was round.”

For centuries, many ancient scholars from India, China, the Middle East, and Europe would continue to posit a vast array of incorrect models for the Earth’s shape. Several prominent Greek philosophers of the 5th and 6th century BC argued in favor of a curved disc or cylinder.

1.       Pythagoras - first to originate the idea of a spherical Earth. At around 570 BC, for aesthetic grounds because Greeks, believe that the sphere is the most perfect shape. He influenced others like

a.       Plato - who learned from the Pythagorean community in Southern Italy. He founded his school in Athens and taught his students that the Earth was round. In his dialogue book Timaeus, he wrote about the properties of the universe, stating that the Earth was in the form of a globe.

b.      Aristotle, provided more details about Earth. In his work of 350 BC entitled “On The Heavens,” he laid out his astronomical theory of a geocentric universe with a fixed spherical Earth at its center.

2.     



Eratosthenes

a.       In summer solstice in Alexandria, Eratosthenes noticed that a well it was NOT fully lighted since a shadow at the bottom of a well is formed.

b.     

Figure 2 How Eratosthenes pictured the shadow differences

Since he believed the earth is round, and the sun exactly overhead, its rays are parallel to each other, so they cannot be all perpendicular to the surface. He measured the angle between it and its shadow at 7.12°.

c.       Consequently, he found out that there on the same day of the summer solstice there was no shadow in a corresponding well in Syene

d.      Using runners, the distance from Syene to Alexandria, and with a geometry, measured the earth to be 5000 stadia or about 47,000 km.  Actually its just 40,000 km, but considering that time, it’s a brilliant achievement.

References:

https://mobygeek.com/features/greek-philosophers-round-earth-11725

https://medium.com/cantors-paradise/how-eratosthenes-calculated-the-circumference-of-the-earth-612aff65b494

https://www.britannica.com/biography/Tycho-Brahe-Danish-astronomer


Figure
3 Among the Greeks, it was claimed that Pythagoras first to originate the idea of a spherical Earth

10 Observations We Know That Earth Is Spherical

1)     Ships and the horizon - The horizon is the line at which the Earth’s surface and the sky appear to meet. When ships sailing away disappear into the horizon.

2)     We cannot see very far away - You can see the moon and the sun which are much farther but not your neighboring islands or countries.

3)     Visibility and elevated areas - Higher areas of land are visible at greater distances than low lying lands.

4)     Other planets are spherical - Mercury, Venus, Mars, Jupiter and Saturn can all be seen with the naked eye. In a telescope, Uranus and Neptune are spheres too. If the other planets in our solar system can be observed to be spherical, why should ours be any different?

5)     Most things are spherical - Not only are planets spherical, but so are stars, some asteroids and moons. In fact, the forces of nature are such that objects tend to form into spheres, like dewdrops.

6)     Temperature gradient from equator to poles – Why do we have different climates on different areas. It only means some part of the earth are less exposed to the sun than other parts on different times of the year.

7)     Days on same dates do not have the same length – for the same reason as number 6. People live on different areas of the earth that are not exposed to the same sunlight.

8)     Shadows of sticks - Sticks placed vertically in the ground at distant locations have shadows of different lengths.

9)     Tides - The moon’s gravitational pull causes the oceans to bulge out in the moon’s direction. The bulge occurs on both the side facing the moon and the opposite side.

10)  Earth’s shadow - During a lunar eclipse, the sun, Earth, and the moon are aligned such that the Earth’s shadow falls onto the moon. The Earth’s shadow has been observed to be curved as the planet is (curved).

 

PRE-TELESCOPE CELESTIAL PHENOMENA KNOWN TO ASTRONOMERS

TOPIC

EXAMPLES/APPLICATIONS/EXPLANATIONS

1.      Eclipses – the phenomena in which either the moon or earth cast shadows on each other.

a.       Solar Eclipse – the solar eclipse is the more popular version of eclipse. This phenomenon occurs when the moon passes across the sun’s disk and casting its shadow on the earth – producing temporary darkness on certain parts of the earth.

b.      Lunar eclipse – This happens when the moon passes across the earth’s shadow. 

2.      Comets - this celestial phenomenon happens when a comet approaches the sun, and for a period of time, the comet and its tail gets illuminated by the sun and therefore, becomes visible on the earth’s night side.

3.      Planets, AsteroidsThe planets were thought originally as stars but unlike stars, they do not stay on the same position relative to other stars. This means that if a planet is found in a constellation, it doesn’t stay there long enough (unlike stars, which are fixed in their position on a constellation),

4.      Supernovas The Chinese and Europeans were among the first to document the presence a very bright star briefly outshining other stars then dimming later. These short-period burst of light from stars are now known as exploding stars

5.      Meteors/Meteor Shower Some meteor showers (and comets) have a certain regularity. Most meteor showers are yearly while comets are rarer. These glowing bright balls of light were called shooting stars. Now we call them by the more scientific term – meteor.

6.      AurorasThese celestial events are visible on northernmost and southernmost part of the world and they come on a nightly basis on certain time of the year. It happens when the Sun’s coronal emissions interact with the earth’s magnetosphere.

(https://www.lifepersona.com/7-contributions-by-tycho-brahe-to-science-and-society)

Figure 4 Solar Eclipse
Figure 5 Comets

.Figure 6 Auroras

HOW ASTRONOMERS VIEW THE SOLAR SYSTEM BEFORE AND AFTER THE RENAISSANCE ASTRONOMERS (COPERNICUS, GALILEO AND KEPLER)

How astronomers view the Solar System before Copernicus (Ptolemaic View) (7)

How astronomers view the Solar System after Johannes Kepler and Galileo (8)

 

SCIENTIFIC CONTRIBUTIONS OF RENAISSANCE SCIENTISTS AND ASTRONOMERS

CONTRIBUTIONS OF TYCHO BRAHE

CONTRIBUTIONS OF JOHANNES KEPLER.

1.      Supernova - In 1572, Tycho observed a new star in the constellation of Cassiopeia to which he named nova stella and today we know as Supernova.  During the 18 months in which the new star was visible, he made strict observations and measurements that and found that there was no daily parallax between the star and the background of fixed stars. This implied that the nova stella was beyond the Moon and the Earth's orbit.

2.      Uraniborg / Castle of the heavens - The last primitive astronomical observatory before the invention of the telescope in 1608 and the first modern observatory hundred percent financed by the government. Here is where he, realizes and develops most of his observations and new astronomical instruments.

3.      Astronomical measuring instruments - From that solar eclipse of 1560, Tycho sought the precision of his observations, and excellence in the records of them. To perform this task, he needed to apply and improve various astronomical measurement instruments.

4.      1000+ stars - He measured the position of stars and planets with a high degree of precision. This resulted in a stellar catalog of more than 1000 fixed stars.

5.      Refraction of light - The refraction of star light was first perceived by Tycho Brahe. He corrected the astronomical measurements of this effect and also produced a complete table of it.

6.   Model of the Universe of Tycho Brahe - In this model of Tycho Brahe's universe, the Sun and Moon revolve around the non-moving Earth, while Mercury, Venus, Mars, Jupiter and Saturn revolve around the Sun. Due to this  view, Brahe is not considered a Renaissance astronomer.

7.      Kepler, Brahe's successor - We cannot speak of Tycho Brahe, without naming who was his successor: Johannes Kepler (1571-1630) - one of the Most important scientists in history. After Brahe's death, Kepler gained access to all the information cache of Tycho, which allowed him to continue investigating, so that he could come to state his three laws on the movement of the planets.

1.    He was the first to publish a defense of the Heliocentric Model of Copernicus - His first major astronomical work, Mysterium Cosmographicum (Cosmic Mystery) was published in 1596. Mysterium, ot strengthened the Heliocentric ideas of Copernican system.

2.    He found that a planet moved at different speeds according to its distance from the sun - Using the astronomical and planetary observations of Tycho Brahe, Kepler discovered that Mars didn’t move in a perfect circle around the sun, as was believed at the time. He stated this idea in the 2nd Law of Kepler = Law of Equal Areas.

3.    Discovered That Planets Move In Elliptical Orbits Around The Sun - Kepler set about calculating the entire orbit of Mars, using the geometrical rate law and assuming an ovoid orbit. In 1605, Kepler finally found that Mars follows an elliptical path around the sun. He thus arrived at his first law of planetary motion: that the planets orbit the sun in ellipses, with the sun at one focus.  

4.    Astronomia Nova Is One of the Most Important Books in Astronomy - Kepler published his ten-year-long investigation of the motion of Mars in his most renowned work Astronomia Nova (New Astronomy). This includes the first two of the three principles known today as Kepler’s laws of planetary motion. The ideas of gravitations were mentioned in this book.

5.    He Discovered His Third Law of Planetary Motion While Writing Harmonices Mundi - Published in 1619, Harmonices Mundi (The Harmony of the World) is a book in which he attempts to find harmony in nature by explaining proportions of the natural world in terms of music. He also mentioned the idea of an inertia.

6.    He Laid the Foundation of Modern Optics - Johannes Kepler began his investigation of the laws of optics in his work Astronomiae Pars Optica (The Optical Part of Astronomy). It contains the inverse square law of intensity of light against distance; reflection concepts by flat and curved mirrors; and modern astronomy ideas in optics such as parallax, astronomical refraction and the apparent sizes of heavenly bodies, correct workings of the human eyes. In another work in optics, Dioptrice, was published in 1611 and it contained the concepts of real vs. virtual images; upright vs. inverted images; and the effects of focal length on magnification and reduction.

7.    He also improved the Refracting telescope with his own version called the Kepler Telescope. (See Figure on the left)

Figure 12 Kepler's version of Telescope

       

WEEK 1: ASSESSMENT

Name:

HE- A

HE- B

EIM

1.      Add two more reasons why the earth is a sphere.  Refer to the website shown above for other reasons

 

2.      Are there other celestial phenomena nowadays that were not visible to human eyes since before the invention of telescopes?

 

3.      Galileo’s contribution to astronomy is when he discovered the 4 satellites of Jupiter, the early observations of the Saturn’s rings and the phases of Venus. Kepler’s work was on planet Mars. In your own words, would Kepler also have discovered what Galileo had?

END.


No comments:

Post a Comment