In your own words, describe the meaning of Kepler's Third Law of Planetary Motion. Do not use any equations, do not describe the equations in words, just tell me the conceptual meaning.
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A: Kepler’s law:Kepler’s law planetary motion describes the motion of planet in solar system.…
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A: Kepler's third law defines the relationship between the planet's orbit and it's time period.
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…
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Q: Describe Kepler’s First Law of Planetary Motion.
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A: Please see the answer in step 2.
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A: To define the Kepler's second law.
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A: solution is given as
Q: Explain keplers third law?
A: Kepler's third law explains the relation between the distance of the planet from the sun and the…
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A: Kepler's third law states that " The square of the planet's orbital period is proportional to the…
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 the Kepler’s Law of Planetary (or Satellite) Motion?
A: The first law states that planets move in an elliptical orbit, with the Sun being one focus of the…
Q: Explain planetary motion through Kepler's Law
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In your own words, describe the meaning of Kepler's Third Law of Planetary Motion. Do not use any equations, do not describe the equations in words, just tell me the conceptual meaning.
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- 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.Hi! Sorry for the inconvenience but can you please answer these two questions? Thanks! 1. Scientists once hypothesized the existence of a planet called Vulcan to explain Mercury’s precession. Vulcan is supposed to be between Mercury and the Sun with a solar distance equal to 2/3 of that of Mercury. What would be its supposed period? 2. What is the period T of a planet which radius is as twice as of Earth when it completes one revolution in 875 days? (Earth radius = 6.38 x 10^5)For the following questions, start your analyses by considering at least Newton's Law of Gravitation, centripetal acceleration, Kepler's law or Energy Conservation. Take the Gravitational constant to be a. From Earth we can measure the radius of Mars using our telescopes. An estimate for it is 3.39 x 106 m. By sending an exploratory robot to Mars, we determined the acceleration due to gravity on its surface as 3.73 m/s?. Estimate the mass of Mars. b. The Earth revolves around the Sun once a year at a distance of 1.50 x 1011 m. Estimate the mass of the Sun. c. A rocket is launched straight up from Earth's surface at 2100 m/s. By ignoring air resistance, determine the maximum height it reaches?
- In 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl" orbiting the asteroid. Assume that the small moon orbits in a circle with a radius of r = 100 km from the center of the asteroid with an orbital period of T = 27 hours. a. Show and explain how we derived Kepler's 3rd law using Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force. b. Use your result for Kepler's 3rd Law to determine the mass of the asteroid. c. If the asteroid has a radius of about 16 km calculate the approximate value for the acceleration due to gravity, g, on its surface. d. What velocity would you need to achieve in order to lift off and leave this asteroid? e. Use Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force to determine an expression for circular orbital velocity. f. What is the orbital velocity of the small moon if we assume it is in a circular orbit?A newly discovered planet orbits a star with the same mass as the Sun with a semi-major axis of 239.36 million kilometers. Its orbital eccentricity is 0.1.A. Find the planet's orbital period.B. Find the planet's perihelion distance.C. Find the planet's aphelion distance.Please answer the question and subquestions entirely. This is one single question. According to the official guideline, I can ask two subquestions! Thank you! 1) The radius of Planet Z is 3 times the radius of the Earth. It has the same density as the Earth. What is the gravitational acceleration at the surface of the planet? 29 m/s2 88 m/s2 270 m/s2 3.3 m/s2 a) Use Kepler's Law to find the time (in Earth’s years) for Mars to orbit the Sun if the radius of Mars’ orbit is 1.5 times the radius of Earth's orbit. 1.8 2.8 3.4 4.2 b) The mass of Mars is about 1/10 the mass of Earth. Its diameter is about 1/2 the diameter of Earth. What is the gravitational acceleration at the surface of Mars? 9.8 m/s2 2.0 m/s2 3.9 m/s2 4.9 m/s2 none of these
- What is Kepler's first law of planetary motion? The period of a planet's orbit is proportional to its distance from the sun. Planets have circular orbits. Planets have elliptical orbits. The eccentricity of a planet's orbit is proportional to its distance from the sun.A) When one object is orbiting a much larger object, the period of the orbit (T) is related to the semi‐major axis (r) by the general form of Kepler’s 3rd Law. Write this general form in the space below: B) What units must the period be in if we want to calculate the semi-major radius in meters? Note that G = 6.67 x 10-11 N m2/kg2. Complete problems using Kepler’s 3rd law as you wrote it down above:For circular orbits, relate Kepler’s third law of planetary motion to Newton’s law of gravitation and centripetal acceleration to the configuration system or any situational scenarios. Explain and justify. Cite an example to support your answer.
- Write down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and t use rho and pi. Please use the "Display response" button to check you entered the answer you expect. Display responseWrite down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and t use rho and pi. Please use the "Display response" button to check you entered the answer you expect. g=Direction: Complete the table below. Calculate the problem using the Laws of Planetary Motion based on the given basic planetary data below. F Earth Mars Saturn Uranus Neptune Jupiter 1. 3. Mean Distance(r) Period of 1.496 x 108 44.97x108 2.28 x 108 14.27x108 2. 4. Revolution (T) 365.2 days 1.88 yrs. 11.86 yrs. 84 yrs. Using the Earth as reference, determine the mean distance(r) or the Period of revolution (T) of each planet. Here is the formula in the Law of Period. (T₁)² (r₁)² (T₂)² (r₂)² = 1. Find the Mean distance of Jupiter. 2. Find the Period of Saturn 3. Find the mean distance of Uranus. 4. Find the Period of Neptune.