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P5A Centripetal force and gravity A moving object will continue to move in a straight line at the same speed unless a force acts on it. For an object to move in a circle, a force has to act on it all the time. This force is called the centripetal force. It acts towards the centre of the circle. Gravity is the centripetal force that keeps planets moving around the Sun, and satellites moving around planets. The Earth has many artificial satellites in orbit around it. These have been built by people and launched into orbit using rockets. Some very large artificial satellites were put into orbit by the American Space Shuttle. Orbits Artificial satellites in orbit around the Earth have different orbits. Satellites in lower orbits travel faster than those in higher orbits. The higher the orbit of a satellite, the longer its 'period' (time to make one orbit). Gravity Gravity is the universal force of attraction between masses. The greater the mass involved, the greater the force. The force of gravity between two objects with small masses like a table and a chair is small because the objects are. However, large objects like planets have a much greater mass and so have a much greater gravitational force. Satellites in low polar orbit pass over the poles. They orbit between 100 km and 200 km above the Earth’s surface, taking around 90 minutes to make each orbit. The Earth spins beneath the satellite as it moves, so the satellite can scan the whole surface of the Earth. Low orbit polar satellites have uses such as: Satellites A satellite is an object that orbits a larger object in space. The Moon is the Earth’s natural satellite. Other planets also have natural satellites. For example, Mars has two small natural satellites called Phobos and Deimos. monitoring the weather observing the Earth’s surface military uses including spying Geostationary satellites have a different trajectory to polar satellites – they are in orbit above the equator. The height of their orbit - 36,000 km - is just the right distance so that it takes them one day (24 hours) to make each orbit. This means that they stay in a fixed position over the Earth’s surface. Geostationary satellites have uses such as: communications - including satellite TV global positioning or GPS - which is used for sat navs (satellite navigation systems) Geostationary satellites always appear in the same position when seen from the ground. This is why satellite television dishes can be bolted into one position and do not need to move. Gravity and distance The force of gravity between two objects decreases as the objects move further apart. It follows an inverse square law the force between two objects is inversely proportional to the distance between them squared. Orbit and speed The orbital period of a planet depends upon its distance from the Sun. The further a planet is from the Sun, the longer its orbital period. This is because the further away a planet is: the further it has to travel in one orbit the weaker the gravitational force of attraction between it and the Sun Comets A periodic comet has a highly elliptical orbit (oval-shaped, rather than circular) When a comet comes close to the Sun, the gravitational force of attraction is high and it travels quickly. When a comet travels far from the Sun, the gravitational force of attraction is less and it travels more slowly. This can be shown as an equation: Equation to show force This means that if the distance between two objects is doubled, the force between them drops to a quarter (1/22 or 1/4). If the distance is increased ten times, the force between the two objects decreases to a hundredth of what it was (1/102 or 1/100). Satellites Artificial satellites are continually accelerating towards the Earth. This is because of the gravitational force of attraction between the satellite and the Earth. If a satellite stopped moving forwards, the Earth’s gravitational pull would make it fall to Earth. The forward speed, or tangential motion, of a satellite must be just right to keep the satellite in orbit: if the tangential motion is too slow, the satellite will fall to Earth if the tangential motion is too fast, the satellite will travel away into space Artificial satellites in lower orbits travel faster than those in higher orbits. A satellite in low polar orbit is close to the ground, so the gravitational attraction is strong. This produces a high centripetal acceleration, so the tangential speed must be high. A geostationary satellite is further from the ground, so the gravitational attraction is weaker. This produces a lower centripetal acceleration, so the tangential speed must be less. Artificial satellites are continually accelerating towards the Earth due to the Earth’s gravitational pull, but their tangential motion keeps them moving in an approximately circular orbit