Solving Universal Gravity Questions: Speed of Earth, Pallas' Orbit

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To determine the speed of the Earth around the sun, the average orbital speed is approximately 29.78 km/s, calculated using the formula for circular motion based on Earth's distance from the sun. For the asteroid Pallas, with an orbital period of 4.62 years, Kepler's Third Law can be applied to find the semi-major axis of its orbit, which is about 2.77 astronomical units (AU). The discussion emphasizes the importance of Kepler's laws for solving these problems. Participants suggest referencing relevant formulas and resources for further clarification. Understanding these concepts is essential for solving universal gravity questions.
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hey i have 2 very simple questions i can't seem to do.

1) determine the speed of the Earth around the sun...

2)The asteroid Pallas has an orbital period of 4.62 years. find the semi-major axis of its orbit.


i no these r simple but i just can't seem to get them can someone help me or let me know of some formulas that will help? thank you in advance
 
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Look up Kepler's laws in your book.
 
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