The spaceship Palomino approaches star XYZ to study it by going into a circular orbit of radius 1.0·107 km. All that is known initially is that a planet orbits this star at a distance of 1.86·108 km taking a time of 271 Earth-days to make one full orbit. At what speed should the ship orbit the star at? What is the gravitational acceleration on the Palomino due to this star's gravity? (c) What is the ratio of the mass of star XYZ with that of the Sun? (MSun = 1.987·1030 kg)

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Chapter13: Universal Gravitation
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  1. The spaceship Palomino approaches star XYZ to study it by going into a circular orbit of radius 1.0·107 km. All that is known initially is that a planet orbits this star at a distance of 1.86·108 km taking a time of 271 Earth-days to make one full orbit.
  • At what speed should the ship orbit the star at?
  • What is the gravitational acceleration on the Palomino due to this star's gravity? (c) What is the ratio of the mass of star XYZ with that of the Sun? (MSun = 1.987·1030 kg)
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