1- Imagine that an object is moving around the Sun. What will be the orbital period of the object in Earth years if its orbit has a semi-major axis 4.946 AU?
2- How many times would the weight of a person on the surface of the Earth increase if the Earth had its current dimensions, but the coefficient of increase in the mass of the Earth would be equal to 11.180?

3- A planet like Earth is found orbiting its star at a distance of 1 AU in 0.4472 Earth-year. Use Newton's version of Kepler's third law (formula: a³ = (M₁ + M₂) × P²) to find the mass of the star in the masses of the Sun. Remember that compared to the mass of a star, the mass of an earthlike planet can be considered negligible. 

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Solving Orbital Mechanics Problems Heres how to solve the three problems you presented 1 Orbital Per... View the full answer