You need to know a little physics here. The force on the satellite (mass m) is F = GMm/r^2 where M = the mass of the planet, G the gravitational constant and r the distance from the centre of the planet.
From Newton we know that force = mass X acceleration. When you study circular motion you will learn that the acceleration of an object moving in a circle is rw^2 where w = angular velocity (radians/ second). A radian is nearly 60 degrees (actually 180/pi) so there are 2.pi radians in a revolution.
There is therefore a relationship between w and T (time for a revolution) in that T = 2.pi/w.
So we can write m.r. 4.pi^2/T^2 = GMm/r^2
The mass of the satellite cancels out (just as well) and so by rearranging we get
r^3 . 4.pi^2 / GM = T^2 - which gives you Kepler's law.
Since we can measure r and t very easily we can work out GM very accurately as a product (much more accurately than we can measure G or M individually)
The maths is complicated by the fact that the satellite will probably be moving in a slightly elliptical orbit (in which case we replace r by the semi-major axis) and is also affected by variable density of the rocks of the planet (this is very noticeable in satellites going round the moon)
The Sputnik satellite orbited Earth at an altitude between 215 to 939 kilometers (133 to 583 miles).
An inverse relationship.
You need to know a little physics here. The force on the satellite (mass m) is F = GMm/r^2 where M = the mass of the planet, G the gravitational constant and r the distance from the centre of the planet.From Newton we know that force = mass X acceleration. When you study circular motion you will learn that the acceleration of an object moving in a circle is rw^2 where w = angular velocity (radians/ second). A radian is nearly 60 degrees (actually 180/pi) so there are 2.pi radians in a revolution.There is therefore a relationship between w and T (time for a revolution) in that T = 2.pi/w.So we can write m.r. 4.pi^2/T^2 = GMm/r^2The mass of the satellite cancels out (just as well) and so by rearranging we getr^3 . 4.pi^2 / GM = T^2 - which gives you Kepler's law.Since we can measure r and t very easily we can work out GM very accurately as a product (much more accurately than we can measure G or M individually)The maths is complicated by the fact that the satellite will probably be moving in a slightly elliptical orbit (in which case we replace r by the semi-major axis) and is also affected by variable density of the rocks of the planet (this is very noticeable in satellites going round the moon)
The relationship between the radius of orbit of a satellite and its orbital period is described by Kepler's third law of planetary motion. Specifically, the square of the period (T) of a satellite's orbit is directly proportional to the cube of the semi-major axis (r) of its orbit: ( T^2 \propto r^3 ). This means that as the radius of the orbit increases, the orbital period also increases, indicating that satellites further from the central body take longer to complete an orbit. This relationship holds true for any object in orbit around a central mass, such as planets or satellites around Earth.
A GPS satellite's orbit type is typically a medium Earth orbit (MEO) at an altitude of around 20,000 kilometers. This orbit allows the satellite to provide accurate positioning information to users on the ground while maintaining a good balance between coverage and signal strength.
Assuming that the speed stays constant, the higher the altitude, the more time is taken to complete one orbit. In this situation, the altitude is directly proportional to the time taken; as one increases, so does the other.
Science!
A: There is a direct relationship between altitude and temperature. As altitude increases there is less air available to remove the dissipated heat therefore locally the temperature rises but environment temperature as a whole decreases. I don't see any relationship with any noise with altitude
The Sputnik satellite orbited Earth at an altitude between 215 to 939 kilometers (133 to 583 miles).
An inverse relationship.
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As the altitude of the sun increases, the intensity of insolation for that area will increase as well.
The relationship between altitude and air pressure is inverse: as altitude increases, air pressure decreases. This is because air pressure is a measure of the weight of air molecules above a given point, so as you go higher in the atmosphere, there are fewer air molecules above you exerting pressure downward.
Side=x, Altitude= a (x/2)2+(x/2)2= Sqrt(a)2
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Air pressure decreases as altitude increases.
The speed of sound increases with altitude. This is because the air is less dense at higher altitudes, allowing sound waves to travel faster.