Kepler's Laws: Using the orbit shown below and a ruler, measure the scale bar in the top left corner in centimeters. The length of the bar is equal to the distance in AU shown below the bar. Measure the aphelion and perihelion distance of the orbit in centimeters and convert to AU. (HINT: Remember, in your conversion centimeters should cancel and leave you with AU's)
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- Match each discovery, model, or Law with the person we credit with discovering them (Select T-Tycho Brahe, K-Kepler, G-Galileo, A-Aristotle, P-Ptolemy, N-Newton If the first is T and the rest K, enter TKKKKK) A) Devised the earliest geocentric solar system models B) The orbits of planets are C) Made careful measurements of the location of the planets good to 1 arcmin. D) Described the meaning of force by three laws. E) Devised the best Earth-centered (geocentric) model of the solar system using epicycles F) Found the Sun had flaws (sun spots) and that the Sun rotates. elipsesPlease please give answer please within 30 minutes please fast this is importantBetween mars and Jupiter the asteroid ceres orbits the sun at an average radius of 2.766 AU. Use kelpers third law to calculate the time in earth it takes for ceres to make one complete orbit. Round up your answer to the correct number of significant digits.
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- Question 1 (Total: 30 points) a. What is a repeat ground-track orbit? b. Explain why repeat ground-track and Sun-synchronous orbits are typically used for Earth observation missions. c. The constraint for a Sun-synchronous and repeat ground-track orbit is given by T = 286, 400, where I is the orbital period in seconds, m the number of days and k the number of revolutions. Explain why this is, in fact, a constraint on the semi-major axis of the orbit.A 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)?How many orders of magnitude do you need to grow in spatial scale (size) to form a planet? Let's take the extreme ends of this scale, from a dust particle of radius a = 10-6m to the gas giant Jupiter (you can round up its radius to the nearest ten to keep it simple). What else has this difference in order of magnitude? Maybe pick something that's not a length scale. Be creative!