What does Kepler's third law predict for the period of an Asteroid's orbit around the Sun? Give your answer in Years G=6.67x10 11 Nm2/kg2 MAsteroid=8.8x1020 kg MEarth=5.97x1024 kg Msun= 2.00x1030 kg Distance from Sun to Asteroid = 5.50x1012 m There are 3.15x107 seconds in 1 earth year. Years

What does Kepler's third law predict for the period of an Asteroid's orbit around the Sun? Give your answer in Years G=6.67x10 11 Nm2/kg2 MAsteroid=8.8x1020 kg MEarth=5.97x1024 kg Msun= 2.00x1030 kg Distance from Sun to Asteroid = 5.50x1012 m There are 3.15x107 seconds in 1 earth year. Years

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 21P: Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr....

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When Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently, it is moving toward the inner solar system. Its period is 10,500 years. Its perihelion distance is 75 AU. a. What is its semimajor axis in astronomical units? b. What is its aphelion distance?
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1A.U. = 1.5 x 10^11 m, a) Determine how many A.U.'s is Neptune's orbital radius (Round to the nearest tenth). b) Given the Sun's mass is 1.99 x10^30 kg, use Newton's modified version of Kepler's formula T^2 = (4pi^2/Gm(star)) x d^3 to find the period in seconds using scientific notation. (Round to the nearest thousandth). C) Convert the period in part b) to years (Round to the nearest tenth)
2. The planet Jupiter has an orbital period of 4332.8 days, and its greatest distance (aphelion distance) from the Sun is 5.455 AU {where 1 AU = 1 Astronomical Unit = 1.496x10'' m}. The mass of the planet Jupiter is 1.898x1027 kg and the mass of the Sun is 1.988x1030 kg. {G = 6.67x10'" Nm/kg?) (a) Calculate the perihelion distance (closest distance) in Astronomical Units (AU) of the planet Jupiter from the Sun. (b) Calculate the eccentricity of planet Jupiter's orbit around the Sun. (c) Calculate the smallest speed of planet Jupiter around the Sun in km/s. At what point in Jupiter's orbit does Jupiter have its smallest speed?
Astronomical observations of our milky way galaxy indicate that it has a mass of about 8x1011 solar masses. A star orbiting near the galaxy's periphery is 5.6x104 light years from its center. a.) What should be the orbital period (in years) of that star be? b.) If its period is 6.4x107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the center of some galaxies.
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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.
asap do all steps please An asteroid in our Solar System has an eccentricity of 0.550 and a perihelion (closest to Sun) distance of 0.800 AU (Astronomical Units). a)What is its semimajor axis in AU? b)What is its orbital period in Earth years? (Hint: use the simpler form of Kepler’s law for orbitsaround our Sun. You do not need to know 1AU in m). c)What is the ratio of its maximum to minimum speedduring its orbit, vmax/vmin (3 sig figs)? (Hint: use a conservation law) d)Choose one: The asteroid’s total mechanical energy is: i) positive, ii) zero iii) negative, iv) any of theaboveare possible. e) The Earth’s orbit is very close to circular and draw it as acircle of radius 1AU (OK to trace sometime at least the size of a quarter or draw by hand). Label an “S” where the Sunis. Carefully mark theperihelion of the asteroid to the left of the Sun with a “P” and aphelion with an “A” to the right of the Sunto scale (use your ruler to measure it). Show the extent of the asteroid’s semimajor…
A planet of mass ?=2.85×1024 kg orbits a star of mass ?=6.85×1029 kg in a circular path. The radius of the orbit is ?=7.45×107 km.. What is the orbital period ?planet of the planet in Earth days?Tplanet = ? days
GPS (Global Positioning System) satellites orbit at an altitude of 2.7x10^7m. You may want to review (Pages 392-398) Part A Find the orbital period Express your answer using two significant figures. 19 ΑΣφ ? T- h Submit Part B Find the orbital speed of such a satelite. Express your answer using two significant figures. 150 AC ? Submit Request Answer
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