Chapter 22 Origin of Modern Astronomy Section 1 Early Astronomy Notes 22-1 Vocabulary Astronomy Geocentric Orbit Heliocentric Retrograde motion Ellipse Astronomical unit (AU) Ancient Greek Golden Age (600 BC – AD 150) Used philosophical arguments to explain the heavens Developed the basics of geometry and trigonometry Mathematics helped them measure sizes and distances to the sun and moon Ancient Greek Aristotle (384 – 322 BC) Said that Earth is round because it casts a curved shadow on the moon when it passes between the sun and the moon Idea was ignored in the Middle Ages Eratosthenes (276 – 194 BC) First attempt to determine the Earth’s size Observed the angle of the sun at noon at two Egyptian cities (Syene {now Aswan} and Alexandria) Aristotle Eratosthenes Because the sun angles were different by 7 degrees (1/50 of a circle), Earth must be 50 times the distance between the two cities. He came up with a distance of 39,400 km. Actual measure of Earth’s dimension is 40,075 km. Ancient Greek Hipparchus (second century BC) Greatest of Greek astronomers Best know for his star catalog Determined the location of 850 stars Divided them into six groups according to their brightness Geocentric Model Greeks believed in an earth centered solar system. Geocentric believes Earth is unmoving in the center and all bodies move around it. Planets are called wanderers because they move frequently Beyond the planets is the celestial sphere where all the stars travel This helped explain the movements of all the celestial bodies Not correct Heliocentric Model Aristarchus (312 – 230 BC) Was the first to propose a sun-centered model of the solar system He used geometry to calculate the distance to the sun and moon relative to the earth His true measurements were too small but learned the sun was larger than the earth and the moon was smaller than the earth. This model was largely ignored for 2000 years Ptolemaic System In AD 141, presented his model of the solar system Used a geocentric model and explained the motion of the planets. Retrograde motion is when a planet appears to stop in its path and reverse direction. Used a epicycle to explain this motion Small circular paths on the overall path around the earth Not correct Epicycles Modern Astronomy Nicolaus Copernicus: (1473 – 1543) Polish astronomer Claimed Earth was a planet Used a heliocentric view of the solar system Used perfect circles to describe the path of the planets This was not complete because the planets didn’t appear to stay in their proposed paths Modern Astronomy Tycho Brahe: (1546 – 1601) Danish Astronomer Used precise measurements made by his devices to determine the path of the planets Measured planets for 20 years Johannes Kepler: (1571 – 1630) German Astronomer Brahe’s assistant Took Brahe’s observations and created three mathematical laws of planetary motion Law of Ellipses Kepler’s first law: Each planet orbits the sun in a path called an ellipse Oval shape Determined by two points in the oval Points are called foci (singular: focus) If you draw a line from any point on the oval to the foci; the length of the lines will be the same Circle is a special ellipse where the two foci are at the same spot Law of Ellipses Planet is therefore not always the same distance from the sun Perihelion: closest to the sun Aphelion: farthest from the sun Distance from the sun averages the two distances together Average distance from the earth to the sun is 149.5 million km Called an astronomical unit (au) Used to measure the distance from the sun to other planets Circle where both foci are at the same point. Ellipse where the sun is at one focus. Law of Equal Areas Kepler’s second law: Area of a long, thin sector is the same as an area of a short, wide sector Describes the speed planets travel at different spots in their orbits Earth moves fastest when closest to the sun Earth moves slower when farther from the sun The sun is off center in Earth’s orbit The triangles, made by the sun and two points on the orbit of Earth, will have the same areas Equal Area SUN Equal Area Law of Periods Kepler’s third law: Describes the relations between the average distance of a planet to the sun to its orbital period Orbital period: time it takes for one trip around the sun K x d3 = T2 K is a constant equal to 1 when AU’s are used Law of Periods Example: Jupiter is 5.2 AU’s from the sun (radius) = d Its period is 11.9 years (distance) = T K x d3 = T2 1 x (5.2)3 = (11.86)2 140.6 = 140.6 Modern Astronomy Galileo Galilei: (1564 – 1642) Using his telescope, he made important discoveries to support the heliocentric model 1. Discovery of 4 satellites orbiting Jupiter Disproved that Earth was the only center of motion in the universe 2. Planets are circular disks Not point of light as previously thought 3. Venus has phases just like the moon Therefore it also moves around the sun 4. Moon’s surface is not smooth Thought objects were smooth and perfect 5. Sun has sunspots Sun is not perfect and shows sun rotates too Galileo Modern Astronomy Sir Isaac Newton (1642 – 1727) Inertia: a moving object will stay in its path and at a constant motion Gravity is the force that changes speed and path Law of Universal Gravitation Every body attracts every other body with a force that is directly proportional to their mass and inversely proportional to the square of the distance between their centers The greater the mass of the object, the greater the gravitational force Weight is not the same as mass Weight varies with gravity and mass stays the same Sir Isaac Newton Force of gravity, combined with the tendency of a planet to move in a straight line results in an elliptical orbits. Combination of Earth’s forward motion and its falling motion that defines its orbit If gravity stopped, Earth would move out in a straight line into space. If forward motion stopped, Earth would fall into the sun. Newton Homework Assessment Section 22-1 1-7 Complete Sentences