7. Use Kepler's third law to evaluate the distance of Saturn from the Sun, using the following facts: (1) The period of Saturn is 29.5 years. (2) The Earth's distance to the Sun is 1 AU. (3) The period of the Earth is one year. (The Astronomical Unit (AU) is a measure of distance used in astron- omy.)
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- A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 122 million kilometers. Its orbital eccentricity is 0.5. 1. Find the planet's orbital period. Express your answer in years to three significant figures. 2. Find the planet's nearest and farthest orbital distances from its star. Express your answers in millions of kilometers to three significant figures separated by a comma.1. The reason that there are two daily tides on Earth is that one occurs when the sun is overhead and the other when the Moon is overhead. True or False 2. Tides are approximately 24 hours apart. True or False1. using Newton’s Law of Universal Gravitation and some kinematics calculation we can calculate the mass of the planet. For this, use this equation in the image: Given: - vmax = 1.5 m/s - Pstar = 3.5 days - Mstar = 1.148 Msun, where Msun = 1.98847×1030 kg. This calculation is not shown.
- In terms of Kepler’s 2nd law, what is the significance of these areas?Copernicus's heliocentric model and Ptolemy's geocentric model were each developed to provide a description of the solar system. Both models had advantages that made each an acceptable explanation for motions in the solar system during their time. Sort each statement according to whether it is an advantage of the heliocentric model, the geocentric model, or both. Select the appropriate items to their respective bins. Heliocentric Rooted in widely accepted religious beliefs regarding Earth's place in the universe Explained planetary motions and brightness changes most simply Predicted planetary positions accurately over relatively short time periods Planetary orbits and motions based on Greek ideologies of perfect form and motion Geocentric Both geocentric and heliocentricMatch the astronomer to their contribution to ancient Greek astronomy: v Developed the long-standing geocentric model of the universe until it was replaced during the Renaissance A. Aristarchus v One of the first to claim that the Earth may orbit the Sun, but his ideas were rejected by later philosophers B. Aristotle v Developed a technique for measuring the circumference of the Earth long before anyone circumnavigated the globe with ships c. Eratosthenes D. Pythagoras v Used eclipses to confirm the shape of the Earth and that the Moon was closer to the Earth than the Sun despite the fact that they appear to be the same size in the sky E. Ptolemy v Brilliant geometric mind that was one of the first to propose that all of the heavenly bodies were spheres due to their perfect natures F. Hipparchus v Established the apparent magnitude system that we use to measure the brightness of stars and deduced that the direction of Earth's axis of rotation has changed over time
- 1. The diameter of the Sun is equal to 1.392*10^9 m, and the distance from the Sun to Saturnis equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system,and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer inmeters.b) The actual diameter of Saturn is 116,460 km. What would be Saturn’s diameter in yourscale model? Give your answer in centimeters.Which of the following statements describe a characteristic of the solar system that is explained by Kepler’s secondlaw? Select ALL that apply.A) Earth is slightly closer to the Sun on one side of its orbitthan on the other side.B) Pluto moves faster when it is closer to the Sun than whenit is farther from the Sun.C) Venus orbits the Sun faster than Earth orbits the Sun.D) All the planets orbit the Sun in nearly the same plane.E) The Sun is located slightly off-center from the middle ofeach planet’s orbit.F) Inner planets orbit the Sun at higher speed than outerplanets.90. Which of the following is NOT a reason for the very earliest ancient development of Astronomy include: b. Testing early theories of physics. c. Developing a calendar. d. Religious and cultural ceremonies.
- TRUE OR FALSE only no long explanation. (pls answer it all at once) 4. Ancient astronomers believed that the Earth did not move because there was no stellar parallax observed.5. Galileo's observation of the planets supported the geocentric theory. 6. The planet closest to the sun has the shortest period of revolution about the sun. 7. In the proposed model by Copernicus, the earth was at the center of the universe.8. Epicycles refer to the circular paths taken by planets. 9. The second law of planetary motion implies that the product of velocity and the distance from the sun remain the same as a planet moves about the sun. 10. The first law implies that there is a common principle that governs the orbital motion of the planets.Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.1. Moon is at the distance 384400 km from Earth and orbits the Earth every ~28 days. If the radius of the Moon is 1737 km (consider it to be spherical), what is the area of the moon as measured by the observer on Earth? (Hint: Length contraction)