What would be the angular diameter (in arc seconds) of a planet with diameter 8.5 x 105 km and orbital distance from it's star of 175 x 108 km as seen from a planet with. orbital distance from the same star of 70 x 107 km as seen from their closest approach?
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What would be the angular diameter (in arc seconds) of a planet with diameter 8.5 x 105 km and orbital distance from it's star of 175 x 108 km as seen from a planet with. orbital distance from the same star of 70 x 107 km as seen from their closest approach?
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- Next you will (1) convert your measurement of the semi-major axis from arcseconds to AU, (2) convert your measurement of the period from days to years, and (3) calculate the mass of the planet using Newton's form of Kepler's Third Law. Use Stellarium to find the distance to the planet when Skynet took any of your images, in AU. Answer: 4.322 AU Use this equation to determine a conversion factor from 1 arcsecond to AU at the planet's distance. You will need to convert ? = 1 arcsecond to degrees first. Answer: 2.096e-5 AU (2 x 3.14 x 4.322 x (.000278/360) = 2.096e-5) Next, use this number to convert your measurement of the moon's orbital semi-major axis from arcseconds to AU. A) Calculate a in AU. B) Convert your measurement of the moon's orbital period from days to years. C) By Newton's form of Kepler's third law, calculate the mass of the planet. D) Finally, convert the planet's mass to Earth masses: 1 solar mass = 333,000 Earth masses.Calculate the escape velocity to an orbit of 393 km height from a planet with the radius of 2000 km and the density of 3400 kg-m³. Give your answer in Sl units.Imagine Saturn was knocked out by its orbit by a massive asteroid. It is now located a slightly further away from the sun at 10.17AU. Using Keplers third law, calculate its new period of revolution, in earth years.
- You are given the following data from observations of an exoplanet: Using Kepler’s Third Law (r3 = MT2 where M is the mass of the central star) find the orbital radius in astronomical units of this planet. M = 1.5 times the mass of the sun. Remember to convert days to years using 365.25 as the length of a year in days. What is the semimajor axis of this planet in AU? - Knowing the orbital radius in both kn and AU, use the value in km to find the circumference of the orbit, then convert that to meters. (Assume the orbit is a perfect circle). - Knowing the orbital circumference and the period in days, convert the days to seconds (multiply by 86,400) and find the orbital velocity in m/s - With that orbital velocity, the radius of the orbit in meters, find the centripetal acceleration of our exoplanet - Knowing the acceleration that our planet experiences, calculate the force that the host star exerts on the planet - Knowing the force on the planet, the orbital radius, and the mass of the…In Table 2, there is a list of 15 planets, some of which are real objects discovered by the Kepler space telescope, and some are hypothetical planets. For each one, you are provided the temperature of the star that each planet orbits in degrees Kelvin (K), the distance that each planet orbits from their star in astronomical units (AUs) and the size or radius of each planet in Earth radii (RE). Since we are concerned with finding Earth-like planets, we will assume that the composition of these planets are similar to Earth's, so we will not directly look at their masses, rather their sizes (radii) along with the other characteristics. Determine which of these 15 planets meets our criteria of a planet that could possibly support Earth-like life. Use the Habitable Planet Classification Flow Chart (below) to complete Table 2. Whenever the individual value you are looking at falls within the range of values specified on the flow chart, mark the cell to the right of the value with a Y for…(a) The distance to a star is approximately 7.80 1018 m. If this star were to burn out today, in how many years would we see it disappear? years (b) How long does it take for sunlight to reach Saturn?
- At its closest approach to Earth, Mars is 57.50 million kilometers away. How long (in minutes) would a radio signal sent from a future manned mission to Mars take to travel to Earth? (distance = speed x time) [55]9) An interstellar cloud fragment 0.2 light-year in diameter is rotating at a rate of one revolution per million years. It now begins to collapse. Assuming that the mass remains constant, estimate the cloud's rotation period when it has shrunk to (a) the size of the solar nebula, 100 AU across, and (b) the size of Earth's orbit, 2 AU across. (answers: 0.016 revolutions per year, and an orbital period of 62.5 years, This is 40 revolutions per year, and an orbital period of 0.025 years, or just a little over 9 days)Imagine you grew up on Mars, whose semi-major axis is 1.5 AU. In observing the planets over your lifetime from the Martian surface, what is the largest angular separation you would see between the Earth and the Sun? Take the orbits of the Earth and Mars to be circular.
- What is the angular diameter of Saturn (in arc seconds) as seen from Earth when the two planets are closest together? Hint: Use the small-angle formula, angular diameter (in arc seconds) 2.06 x 105 | arc seconds linear diameter distance What is the angular diameter of Saturn (in arc seconds) as seen from Earth when the two planets are farthest apart? arc secondsA new mystery planet is detected around our Sun. We measure it’s position relative to the Sun to be 2 AU at perihelion and 6 AU at aphelion. What is the semi-major axis of this planet’s orbit (in AU)? With that information, what is the orbital period of that planet(in years)?Calculate the escape velocity to an orbit of 457 km height from a planet with the radius of 2000 km and the density of 3400 kg⋅m-³. Give your answer in Sl units.