The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A, STAR A its speed is constant.
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- The Sun orbits the Milky Way galaxy once each 2.60108 years, with a roughly circular orbit averaging a radius of 3.00104 light-years. (A light-year is the distance traveled by light in 1 year.) Calculate the centripetal accleration of the Sun in its galactic orbit. Does yur result support the contention that a nearly inertial frame of reference can be located at the Sun? (b) Calculate the average speed of the Sun in its galactic orbit. Does the answer surprise you?A planet in a circular orbit about a star has an orbital radius of 3.70 au . If the star has a mass that is 1.80 times our own Sun's mass, determine the time ? , in units of Earth years, for one revolution of the planet around the star.T = ? Earth yearsA man weighs 800 N on Earth. Calculate its weight on the Moon, knowing that the mass of the Earth is 81 times that of the Moon and that the (approximate) radii of the two stars are 6,380 km and 1,600 km respectively. We must take 5.98 × 1024 kg as the mass of the Earth.
- A planet follows an elliptical orbit that brings it as close as 46 million km to a star and as far as 85 million km from the star. At both of these locations the velocity of the planet makes a right angle to the direction to the star. If the planet's speed is 38 km/s when it is farthest from the star, how fast is it moving when it is closest to the star?A space ship lands on an unknown planet. The occupants notice that the stars never rise or set but appear to move in circles parallel to the horizon. Where on the planet did the space ship land?A planet � moves in a circular orbit around a Star named planet of mass �! =2.7 × 10"# kg as shown in figure 2. The period of the orbit is 14 days. Derive a suitable mathematical formula to calculate the radius of the orbit.
- In a certain binary-star system, each star has the same mass as our Sun, and they revolve about their center of mass. The distance between them is the same as the distance between Earth and the Sun.What is their period of revolution in years?If we see the stars at night on a point of the equator line on the earth, the most stars motion is almost linear or parabolic?A planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly circular orbit. The radius of the orbit is 9.3 × 107 km.(a) What is the magnitude of the force of gravity that the star exerts on the planet? Give your answer in Newtons. (b) What is the speed of the planet’s orbit around the star, in units of km/s?(c) What is the period of the planet’s orbit around the star, in Earth days.
- Every 30 days, the area swept in space by the planet is different. Every 30 days, the distance traveled by the planet is different. Every 30 days, the speed the planet is moving is the same Which of the following statements supports the claim that a planet travels around a star in an elliptical orbit? 1. 1 only 2. 2 only 3. 2 and 3 4. 1, 2, and 3An object lying on Earth’s equator is accelerated (a) toward thecenter of Earth because Earth rotates, (b) toward the Sun becauseEarth revolves around the Sun in an almost circular orbit, and(c) toward the center of our galaxy because the Sun moves aroundthe galactic center. For the latter, the period is 2.5 * 10^8 y and theradius is 2.2 * 10^20 m. Calculate these three accelerations as multiplesof g = 9.8 m/s2.The International Space Station is in a 210-mile-high orbit. What is the station's orbital speed? The radius of Earth is 6.37×10^6 m, its mass is 5.98×10^24kg. Express your answer with the appropriate units. What is the station's orbital period? Express your answer in minutes.