Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.

Q: How do you calculate the mass of a planet in space?

A: Let M be the mass of the planet, R be the distance of the planet from the reference frame, T be the…

Q: Us Kepler's 3rd Law to calculate the mass of a star which has a planet orbiting at 2.35 A.U. and…

A: distance (d) = 2.35 A.U.time (t) = 4.56 earth years d = 2.35 AU = 2.35×1.496×1011 m = 3.5156×1011 m…

Q: Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00 AU 365 days Mars…

A: The average distance between the mercury and mars is The average distance between the venus and…

Q: State and explain the implications of each of Kepler's three laws of planetary motion.

A: First Law:All planets move about the Sun in elliptical orbits, with the Sun at one of the focus. It…

Q: Kepler’s First Law states that planetary orbits are ellipses with thesun at one focus. The orbit of…

A: The relation is  perihelion = a (1 - e)  aphelion  = a ( 1+e)

Q: What does Kepler's third law predict for the period of Mars' orbit around the Sun? Give your answer…

A: Given: G=6.67×10-11Nm2/kg2 Mmars=6.4×1023kg Mearth=5.97×1024kg Msun=2.00×1030kg Distance from sun to…

Q: Mars is 1.53 times as far from the sun as earth is. Use kepler’s 3rd law to predict the time…

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Q: In your own words, in no more than 2 sentences, explain the meaning of Kepler's 3rd law. No…

A: Keplars 3rd law is The square of the orbital period of a planet is proportional to the cube of the…

Q: Explain Gravitation and Kepler’s Laws of Planetary Motion?

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Q: Conceptual Idea: “According to Newton, Kepler's 3rd Law (P2 = D3) should be modified to read M+m =…

A: The question is asking about the Kepler 3rd law application to estimate the masses of the…

Q: Newton explained why the Moon orbits the Earth.  What did he do to uncover the answer?   You may…

A: Given: Newton explained why the Moon orbits the Earth.  What did he do to uncover the answer?

Q: Suppose the Sun were somehow replaced by a star with five times as much mass. How long would the…

A: Earth year is the amount of time that the earth takes to complete 1 revolution in its orbit about…

Q: The Earth is travelling around the sun at a speed of about​ 67,000 miles per hour​ [mph]. If it…

A: Change all unit in M.k.s. system

Q: Newton showed that the periods and distances in Kepler’s third law depend on the masses of the…

A: We know that Kepler's 3rd Law: The square of the period(T) of a planet's orbit is proportional to…

Q: How does the rotation of Earth affect the apparent weight of a 1 kg mass at the equator? Does this…

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Q: Use Kepler’s second law to convince yourself that Earth must move faster in its orbit during the…

A: Kepler's Second law says that planets around the sun sweep equal areas in equal time period i.e…

Q: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to…

A: In heliocentric model, it is assumed that sun is the center of the solar system and all the planets…

Q: The average orbital distance of Mars is 1.52 times the average orbital distance of the Earth.…

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Q: Which of Kepler's law can be used to estimate the mass of a distant star system based on the period…

A: Please see the answer in step 2.

Q: Suppose a planet sweeps out an area, call it A, in one day. In terms of A, Kepler's second law tells…

A: Kepler’s second law states that a planet sweeps out equal areas in equal intervals of time.

Q: Using Kepler's 3rd law, how long will it take a new planet that is 3.68 x 107 km to travel around…

A: Using Kepler's 3rd law, how long will it take a new planet that is 3.68 x 107 km to travel around…

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

A: Radius of earth (R) = 3958.8 miles Mass of earth (M) = 5.972×1024 kg Time (T) = 14.231 hours=…

Q: The average distance between Mars and the Sun is 1.52 AU. What is the orbital period of Mars?…

A: Please see the answer in step 2

Q: In your own words, describe the meaning of Kepler's Third Law of Planetary Motion.  Do not use any…

A: Answer :- The square of the orbital period of a planet is proportional to the cube of the semi-major…

Q: Show that equations 1, 2 and 3 lead to Kepler's Third Law of planetary motion. How are the orbital…

A: According to the centripetal force, the equation can be written as F=mMv2r…

Q: Newton’s law of gravitation and the formula for centripetal acceleration can be used to show that:…

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Q: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to…

A: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to…

Q: Scientists discover a new planet orbiting a distant star. They observe that it takes 1,460 days for…

A: The average distance from planet X to the star is  2.52 × 10^5 m

Q: Write down an expression for the gravitational filed strength of a planet of radius R and density p.…

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Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

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Q: 16. What is the orbital period of Deimos? Recall Kepler's 3rd law: (Ta/Tb)^2 = (Da/Db) ^3 where Ta &…

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Q: In terms of Kepler’s 2nd law, what is the significance of these areas?

A: Introduction: Kepler's planetary laws are the pillars of the classical mechanics. Correct…

Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…

A: radius of earth (R)= 3958.8 miles Mass of earth (M) = 5.972×1024 kg Time period (T) = 14.137 hours…

Q: Suppose NASA wants a satellite to revolve around Earth 5 times a day. What should be the radius of…

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Q: 010: A new planet (tentatively named “Melmac") is found in a circular orbit with a period of 571…

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Q: Who gathered the data that were used to show that the planets travel in elliptical paths around the…

A: Tycho Brache gathered the data showing planets traveled in elliptical paths.

Q: Explain keplers third law?

A: Kepler's third law explains the relation between the distance of the planet from the sun and the…

Q: Does the Kepler's Third Law of planetary motion applies to Pluto? Explain

A: Kepler's third law states that " The square of the planet's orbital period is proportional to the…

Q: Kepler's third law of planetary motion describes a relationship between... the distance from the Sun…

A: Solution:  Kepler's first law of planetary motion describes the shape of the orbit of every planet…

Q: Equation 1: F = G ™pmM %3D r2 т Equation 2: F = Mv² 2nr Equation 3: T = Show that equations 1, 2 and…

A: Kepler’s third law of planetary motion proves the relationship between the orbital time period and…

Q: Explain planetary motion through Kepler's Law

A: