A satellite in a geosynchronous orbit stays in position over a particular point on the earth so the satellite has the same period as the planet. Determine the radius of a geosynchronous orbit over a planet with the same mass as the earth with an orbital period of 1.4 earth days. Use the planetary data in your notes. You can enter values using E notation.
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A satellite in a geosynchronous orbit stays in position over a particular point on the earth so the satellite has the same period as the planet. Determine the radius of a geosynchronous orbit over a planet with the same mass as the earth with an orbital period of 1.4 earth days. Use the planetary data in your notes. You can enter values using E notation.
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- A satellite is in a circular orbit around the earth. The period of the satellite is 20.3 hr. Calculate the radius of the orbit of the satellite. Data: Mass of the earth = 5.98.1024 kg. Submit Answer Tries 0/10 What is the speed of the satellite? Submit Answer Tries 0/10A geosynchronous satellite moves in a circular orbit around the Earth and completes one circle in the same time T during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass M and radius R. In order to be geosynchronous, the satellite must be at a certain height h above the Earth’s surface. Part (a) Derive an expression for h in terms of m, M, R, T and constants. Part (b) Calculate the numerical value for h in meters.A satellite of mass m is orbiting Earth in a stable circular orbit of radius R. The mass and radius of Earth are ME and RE , respectively. The satellite is replaced with a similar satellite that has twice the mass. The new satellite is placed into the same orbit as the original satellite. Is the new satellite’s orbital speed greater than, less than, or equal to the original satellite’s orbital speed? Why? The original satellite can be placed in many different circular orbits of radius r. On the axes, sketch a graph of the mechanical energy E of the satellite-Earth system as a function of the orbital radius r. (attached as photo1) The satellite is traveling with speed v in the original orbit as shown by the dashed line in the figure. The satellite then collides with a small meteorite. The speed of the satellite is reduced to half its current value. On the figure (provided as photo2), sketch the path the satellite will follow after the collision with the meteorite.
- A 2.00 x 102 kg satellite is in circular orbit at a height of 6.00 x 102 km above the earth’s surface a. Solve for the speed of the satellite.Around 2.5 centuries ago, several physicists of the time came up with the notion of a dark star. This was a star so dense, with so much gravity, that not even light could escape. The calculations used Newtonian mechanics. In class, we calculated the escape speed from the surface of the earth or the distance from the sun, and the mass of the planet or star. Here, the process is partially reversed. Calculate the dark star radius from the mass of the star and the escape speed. Answer in kilometers. c = 3*108 m/s M = 3.2*1030 kg G = 2/3 * 10-10 N*m2/kg2A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R. a)Calculate the value of PE in joules. b)Enter an expression for the total energy E of the satellite in terms of m and v. c)Calculate the value of the total energy E in joules.
- Selected astronomical data for Jupiter's moon Thebe is given in the table. From these data, calculate the mass of Jupiter (in kg). Moon Orbital Radius (km) Orbital Period (days) Thebe 2.20 ✕ 105 0.67A satellite in geostationary orbit (also called synchronous orbit) appears to remain stationary in the sky as seen from any particular location on the planet. a.) In the future, there will be need for satellites in synchronous orbit around Mars to aid colonies. At what altitude would such a satellite need to be above the surface of Mars?Assume that the mass of Mars is 6.39 × 10^23 kg, the length of the Martian solar day (i.e., sol) is 24h 39m 35s, the length of the sidereal day is 24h 37m 22s, and the equatorial radius is 3396 km. (Hint: if you haven’t had a physics class before, you can find this by using the fact that the acceleration of an object in circular motion either as v2/r, where v and r are the velocity and radius of the orbit, or as 4Pi 2r/T2 , where T is the period. Use this second equation and Mathematical Insight 4.5 on p. 131 to find r for T=1 day. Make sure to use values for Mars nstead of Earth, as necessary. Alternatively, you can calculate the answer using Newton’s…A synchronous satellite, which always remains above the same point on a planet's equator, is put in circular orbit around Jupiter so that scientists can study a surface feature. Jupiter rotates once every 9.84 h. Use the data of this table to find the altitude of the satellite.
- In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.40×1016 kg and a radius of 8.20 km What is the speed of a satellite orbiting 4.90 km above the surface? What is the escape speed from the asteroid?An 800 kg satellite orbits Earth and take one day for complete orbit. Earth has a radiu 6,372 km and a mass of 5.972 x 10^24. A. If the radius of orbit is constant, find the altitude of the satellite above Earth's surface. B. Find the orbital speed of the satellite C. The satellite suddenly turns off, stops moving and heads straight towards the surface of Earth. At what speed will the satellite crash into the Earth's surface? (Hint: Use energy conservation)An exotic planet Vogsphere is known to have a mass that is 1/81 that of the Earth and a radius 0.25 that of the Earth. Astrophysicist Trillian built a rocket and decided to leave the planet and never to return. Given that the escape speed from the Earth is 11.2 km/s, with what speed must Trillian achieve his goal?