Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.51 Earth years in its circular orbit around its sun, which is a star with a measured mass of 3.81×10^30 kg. Find the radius of the exoplanet's orbit.
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Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.51 Earth years in its circular orbit around its sun, which is a star with a measured mass of 3.81×10^30 kg. Find the radius of the exoplanet's orbit.
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- Two identical stars with mass M orbit around their center of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle. Part A Find the gravitational force of one star on the other. Express your answer in terms of G, M, R. Πν ΑΣφ ? F = Part B Find the orbital speed of each star. Express your answer in terms of G, M, R. να ΑΣΦ7 ? Part CProblem 5: Suppose you are told that a satellite orbiting the Earth has a orbital period of 0.85 hours. a)Using the orbital characteristics of the Moon (RM = 3.84 × 105km and TM = 0.0748 y), use Kepler's laws to calculate the orbital radius for the satellite, in kilometers. b)What is unreasonable about this result?MultipleChoice :1) This radius is unreasonable because it is smaller than the orbital radius of the Moon.2) There is nothing unreasonable about the result.3) This radius is unreasonable because it is greater than the radius of the Earth.4) This radius is unreasonable because it is greater than the orbital radius of the Moon.5) This radius is unreasonable because it is smaller than the radius of Earth.Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 3.17 Earth years in a circular orbit around its star, which has a measured mass of 3.63×1030 kg. Find the radius r of the exoplanet's orbit.
- a planet moves in a circle around a massive star. If the planet is 7.2X10^10 m from the star, and the planet orbits the star in 67 days (=5.79X10^6 s), what is the mass of the star?Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 1.50 Earth years in a circular orbit around its star, which has a measured mass of 3.80×10^30 kg.Determine the radius ? of the exoplanet's orbit.Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 3.87 Earth years in a circular orbit around its star, which has a measured mass of 3.77×10^30 kg. Find the radius r of the exoplanet's orbit.
- Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 6.9 ✕ 107 y 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 centers of some galaxies. solar massesScientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. What should the orbital period (in y) of that star be?
- A spacecraft is in a circular orbit around the planet kerbin at an altitude of 100 km. the radium of kerbin is 600km and the planet has a mass of M = 5.29*10^22kg. The universal gravitational constant is G = 6.67*10^-11 Write parametric equations for the position, velocity and acceleration vectors of the spacecraft in its orbital plane.A communication satellite appears stationary from a place on the equator. Find the height of the satellite from the surface of the earth. G = 6.7 x 10-¹¹ M. K. S. units. Mass of earth × = 6 × 10²¹ kg, Radius of earth = 64000 km.An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1810 × 103 seconds (about 21 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 255.0 × 106 m and the planet has a radius of 3.30 × 106 m, calculate the moon's radial acceleration ?cac.