A comet has a period of 78.8 years and moves in an elliptical orbit in which its perihelion (closest approach to the Sun) is 0.630 AU. Find the semimajor axis of the comet and an estimate of the comet's maximum distance from the Sun, both in astronomical units. HINT (a) the semimajor axis of the comet (in AU) AU (b) an estimate of the comet's maximum distance (in AU) from the Sun AU

Calculate the length R of the semimajor axis of a planet whose period is 226 days.

Calculate the period T of a planet whose orbit has a semi major axis of 23 AU

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1 AU = 1.496 x10^11 m

The Sun occupies an angle of approximately 0.5 degrees to us on Earth, at a distance of 150 million kilometers from the Sun. Given this information, calculate the Sun's radius.

Let's assume that the planet was originally orbiting around something with the mass of our Sun (and thus the mass of the planet is negligible). Now we will examine the case where the planet orbits a star with 8 times the mass of our Sun, but we will say that the dates listed in the diagram above are still accurate for indicating the planet's position as it orbits the new star. What is ratio of the size of the semimajor axis of the planet in this case compared to the original (aka how many times larger {ratio greater than 1} or smaller {ratio less than 1} is the new semimajor axis than the old one)?

The figure below is a scaled representation of a planet's orbit with a semimajor axis of 1.598 AU. (Use the exact values you enter in previous answer(s) to make later calculation(s).) (a) Find the ratio of the aphelion-to-perihelion distance. TA (b) Find the perihelion and aphelion distances in astronomical units. AU AU (c) Find the distance the Sun is from the center of the orbit. AU

The distance from the sun to saturn is approximately

If you find a planet's orbital period around the Sun to be ~15 years, what would be its approximate semimajor axis to the nearest AU?