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BACKGROUND INFORMATION : Ceres is an asteroid that is about 590 miles (950 km) in diameter on average - the largest in the asteroid belt.
BACKGROUND INFORMATION : Ceres is an asteroid that is about 590 miles (950 km) in diameter on average - the largest in the asteroid belt. Its mass compromises about a third of the mass of the entire asteroid belt.
Questions :
- The perihelion of Ceres is 2.5577 A.U. and the aphelion is 2.9773 A.U. What is the length of the major axis of Ceres orbit.
- How far apart are the two foci of the ellipse of Ceres' orbit?
- What is the eccentricity of Ceres orbit?
- What is the average distance between Ceres and the Sun?
- How many years does it take Ceres to orbit the Sun?
Please provide your work for all questions.
The following equations may need to be used - Eccentricity, universal gravitation, acceleration due to gravity, escape velocity, Kepler's 3rd Law, Kepler's 3rd Law with Newton's Update, and Universal Gravitation and Circ Motion.