orbital perturbations, Schemes and Mind Maps of Telecommunication electronics

document discuss about orbital perturbations

Typology: Schemes and Mind Maps

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ORBITAL PERTURBATIONS
Theoretically, an orbit described by Kepler is ideal as Earth is
considered to be a perfect sphere and the force acting around the Earth
is the centrifugal force. This force is supposed to balance the
gravitational pull of the earth.
In reality, other forces also play an important role and affect the
motion of the satellite. These forces are the gravitational forces of Sun
and Moon along with the atmospheric drag.
Effect of Sun and Moon is more pronounced on geostationary earth
satellites where as the atmospheric drag effect is more pronounced for
low earth orbit satellites.
As the shape of Earth is not a perfect sphere, it causes some variations
in the path followed by the satellites around the primary. As the Earth
is bulging from the equatorial belt, and keeping in mind that an orbit
is not a physical entity, and it is the forces resulting from an oblate
Earth which act on the satellite produce a change in the orbital
parameters.
This causes the satellite to drift as a result of regression of the nodes
and the latitude of the point of perigee (point closest to the Earth).
This leads to rotation of the line of apsides. As the orbit itself is
moving with respect to the Earth, the resultant changes are seen in the
values of argument of perigee and right ascension of ascending node.
Due to the non-spherical shape of Earth, one more effect called as the
“Satellite Graveyard” is seen. The non-spherical shape leads to the
small value of eccentricity at the equatorial plane. This causes a
gravity gradient on GEO satellite and makes them drift to one of the
two stable points which coincide with minor axis of the equatorial
ellipse.
Working satellites are made to drift back to their position but out-of-
service satellites are eventually drifted to these points, and making
that point a Satellite Graveyard. Atmospheric Drag For Low Earth
orbiting satellites, the effect of atmospheric drag is more pronounces.
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ORBITAL PERTURBATIONS

Theoretically, an orbit described by Kepler is ideal as Earth is considered to be a perfect sphere and the force acting around the Earth is the centrifugal force. This force is supposed to balance the gravitational pull of the earth. In reality, other forces also play an important role and affect the motion of the satellite. These forces are the gravitational forces of Sun and Moon along with the atmospheric drag. Effect of Sun and Moon is more pronounced on geostationary earth satellites where as the atmospheric drag effect is more pronounced for low earth orbit satellites. As the shape of Earth is not a perfect sphere, it causes some variations in the path followed by the satellites around the primary. As the Earth is bulging from the equatorial belt, and keeping in mind that an orbit is not a physical entity, and it is the forces resulting from an oblate Earth which act on the satellite produce a change in the orbital parameters. This causes the satellite to drift as a result of regression of the nodes and the latitude of the point of perigee (point closest to the Earth). This leads to rotation of the line of apsides. As the orbit itself is moving with respect to the Earth, the resultant changes are seen in the values of argument of perigee and right ascension of ascending node. Due to the non-spherical shape of Earth, one more effect called as the “Satellite Graveyard” is seen. The non-spherical shape leads to the small value of eccentricity at the equatorial plane. This causes a gravity gradient on GEO satellite and makes them drift to one of the two stable points which coincide with minor axis of the equatorial ellipse. Working satellites are made to drift back to their position but out-of- service satellites are eventually drifted to these points, and making that point a Satellite Graveyard. Atmospheric Drag  For Low Earth orbiting satellites, the effect of atmospheric drag is more pronounces.

The impact of this drag is maximum at the point of perigee. Drag (pull towards the Earth) has an effect on velocity of Satellite (velocity reduces). This causes the satellite to not reach the apogee height successive revolutions. This leads to a change in value of semi-major axis and eccentricity. Satellites in service are maneuvered by the earth station back to their original orbital position. ORBIT DETERMINATION Orbit determination requires that sufficient measurements be made to determine uniquely the six orbital elements needed to calculate the future of the satellite, and hence calculate the required changes that need to be made to the orbit to keep it within the nominal orbital location. The control earth stations used to measure the angular position of the satellites also carryout range measurements using unique time stamps in the telemetry stream or communication carrier. These earth stations generally referred to as the TTC&M(telemetry tracking command and monitoring) stations of the satellite network. LAUNCHES AND LAUNCH VEHICLES A satellite cannot be placed into a stable orbit unless two parameters that are uniquely coupled together the velocity vector and the orbital height are simultaneously correct. There is little point in orbiting the correct height and not having the appropriate velocity component in the correct direction to achieve the desired orbit. A geostationary satellite for example must be in an orbit at height 35,786.03km above the surface of the earth with an inclination of zero degrees an ellipticity of zero, and a velocity of 3074.7m/s tangential to the earth in the plane of the orbit, which is the earths equatorial plane. The further out from the earth the orbit is greater the energy required from the launch vehicle to reach that orbit. In any earth satellite launch, the largest fraction of the energy expanded by the rocket is used to accelerate the vehicle from rest until it is about 20miles (32 km) above the earth. To make the most

Availability-launch site; vehicle; schedule; Market conditions-what the market will bear LAUNCHING ORBITS Low Earth Orbiting satellites are directly injected into their orbits. This cannot be done incase of GEOs as they have to be positioned 36,000kms above the Earth‟s surface. Launch vehicles are hence used to set these satellites in their orbits. These vehicles are reusable. They are also known as „Space Transportation System‟ (STS). When the orbital altitude is greater than 1,200 km it becomes expensive to directly inject the satellite in its orbit. For this purpose, a satellite must be placed in to a transfer orbit between the initial lower orbit and destination orbit. The transfer orbit is commonly known as HohmannTransfer Orbit. (About Hohmann Transfer Orbit: This manoeuvre is named for the German civil engineer who first proposed it, Walter Hohmann, who was born in 1880. He didn't work in rocketry professionally (and wasn't associated with military rocketry), but was a key member of Germany's pioneering Society for Space Travel that included people such as Willy Ley, Hermann, and Werner von Braun. He published his concept of how to transfer between orbits in his 1925 book, The Attainability of Celestial Bodies.) The transfer orbit is selected to minimize the energy required for the transfer. This orbit forms a tangent to the low attitude orbit at the point of its perigee and tangent to high altitude orbit at the point of its apogee.

The rocket injects the satellite with the required thrust** into the transfer orbit. With the STS, the satellite carries a perigee kick motor*** which imparts the required thrust to inject the satellite in its transfer orbit. Similarly, an apogee kick motor (AKM) is used to inject the satellite in its destination orbit. Generally it takes 1- months for the satellite to become fully functional. The Earth Station performs the Telemetry Tracking and Command**** function to control the satellite transits and functionalities. (Thrust: It is a reaction force described quantitatively by Newton's second and third laws. When a system expels or accelerates mass in one direction the accelerated mass will cause a force of equal magnitude but opposite direction on that system.) (*Kick Motor refers to a rocket motor that is regularly employed on artificial satellites destined for a geostationary orbit. As the vast majority of geostationary satellite launches are carried out from spaceports at a significant distance away from Earth's equator, the carrier rocket would only be able to launch the satellite into an elliptical orbit of maximum apogee 35,784-kilometres and with a non- zero inclination approximately equal to the latitude of the launch site.) (****TT&C: it‟s a sub-system where the functions performed by the