Tracking Techniques for Inclined Orbit Satellites
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TRACKING TECHNIQUES FOR INCUNED ORBIT SATELLITES KHALID S. KHAN Andrew Corporation, Richardson, Tx 75081 July 10, 1990 ABSTRACT coincides with the equatorial plane of the planet Earth. The revolution period Some of the international and domestic of an object with respect to earth is communication satellites have been directly proportional to the distance placed in the inclined orbit. This between the object and the planet Earth. decision is receiving wide support The period of rotation of an object in within the telecommunications industry. a geosynchronous orbit matches that of A satellite in an inclined orbit is the earth, and the object looks expected to operate an additional five stationary. years. These additional operating capabilities of a satellite mean more Kepler's laws govern the rotation of an revenue for the owners and less object in an orbit. They also explain the transponder cost for the users. nature of the curve (orbit), the revolution period, and the height of the This paper discusses and furnishes geosynchronous orbit. current information pertinent to satellite maneuvering in the inclined Kepler's first law' is given by the orbit along with various tracking following equation2: techniques needed to access an inclined orbit satellite. It also suggests a c= R (1) hybrid tracking technique for an 1 + E cos 0 inclined orbit satellite. where : = GENERAL c motion of the curve R = parameter of the second order The destruction of the space shuttle in E = eccentricity mid air coupled with the loss of a few 8 = central angle satellites and launching rockets have been blamed for the current Forgeosynchronous orbit, themotionof difficulties of the satellite industry. the curve 'cl equals to the parameters On the other hand, satellite RF of the second order 'R. ' This condition electronics life and reliability have occurs when the eccentricity 'E' of the increased from approximately seven curve equals to zero. years to almost twelve years. COMSAT has proposed a new scheme, called Similarly, Kepler'sthirdlawdealswith COMSAT Maneuver', to fully maximize the the revolution period of an object in return on its investment. This space. This law is mathematically maneuver is being examined as a described below: technique to offset the problems associated with satellite industry. The ,2 = 4x2 x3 (2) IL fundamental principle of this technique : is to conserve fuel and thus extend the where life of a satellite. T = revolution period p = Kepler's constant GEOSYNCHRONOUS ORBIT = 398 ,513.52 km3/sec2 = Most of the Western commercial x Semi-major axis of elliptical communication satellites are located in orbit and the value of a circular orbit called 'Geosynchronous p = Orbit.' The plane of this orbit GM 14.6.1. 0364 CH2831-619010000-0364$1 .OO 0 1990 IEEE where : .................. G = Universal qravitational constant .................. = 6.67 * 10’ km3/kg/sec2 ....... ....... = h ....... ....... M Mass of planet Earth W W ....... = 5.977 * kg cc ....... 0 ....... ....... and 0W ....... v ....... x=r+H W ....... ....... where : 03 ....... ....... r = Radius of the earth c 0.00 = 6,370 km ....... ....... ‘4 ....... ....... = H Altitude of a satellite W ....... ....... moving in a circular orbit != J ....... ....... _J t-W ....... ....... By substituting the values of x in ....... ....... v, equation (2), it becomes as follow: ~ ....... ....... = + H)3 ,2 4r * (r (3) -5.00 lJ -0.50 -I0.50 Similarly, the velocity of an object SATELLITE LONGITUDE(DEGREE) DIURNAL MOVEMENT OF AN INCLINED ORBIT SATELLITE orbiting in geosynchronous circle can OVER A 7 DAY PERIOD be determined by the equation given below: FIGURE 2.0 satellite revolution period as well as v = J gm/a (4) the velocity. This inclined orbit is an I0’ 7 54 J 1 10 7 5 1 3 2 I 10.23 &5 7 10.21 A5 7 ‘0‘23 45 7 IC ALTITUDE h(km) FIGURE I’ RELAllON 3ETWEfN ALTIIUDI. REVOLUllON PERIOD AND ORBITAL VELOCITY OF A SATELLITE FIGURE 1.0 TIME IN YEAR5 PERFORMANCE PROFILE OF A SYNCHRONOUS ORBIT 5CLAR ARE FIGURE 3.0 Equations (l), (3), and (4) are the founding pillars of a geosynchronous out growth of the geosynchronous orbit orbit. Figure 1.0 shows graphically where inclination is approximately 0.85’ equations (3) and (4). To attain the per year, and this new orbit is called an revolution period of an approximately ‘Inclined Orbit.’ The orbital motion 24 hours, a suitable height of 22,236 starts small and increases with time. The miles was selected for satellites. inclined orbit tends toward an elliptical shape over a period of time, and the If the eccentricity is gradually major axis of this orbit is toward a increased from zero to one then the north-south direction. orbit tends toward an elliptical shape. This change triggers the changes in the There are several benefits in leaving the 14.6.2. 0365 satellite in the inclined orbit: link with the satellite. The communication between the earth station a. To use as a storage orbit and the inclined orbit satellite has the b. To save the expense of replacing following significant drawbacks: satellites c. To provide back-up to primary a. Degradation in the performance of satellites satellite components and equipment d. To provide additional service and after a period of seven years revenue b. Antenna beamwidth c. Extension of orbital inclination of GRAVITATIONAL DISTURBANCES the satellite d. Geographical location ofthe station Disturbing forces such as the gravitational attraction of the sun and Satellite EIRP (Effective Isotropic moon, the radiation pressure of the Radiated Power) , flux density and the G/T sun, and the earth's gravitational (Gain to Total system Temperature) tend field constantly cause a satellite to to decrease over time. This is also true move from its assigned position. The with the solar power supply. Figure 3.0 activity of keeping the satellite in shows a typical depletion of solar array the allocated position is ' called poweroveraperiodof seven years. This llstationkeeping.l*The stationkeeping reduction of satellite power supply requires the satellite to produce its capabilities has some impact on the own power. The propellant fuel which performancedegradation ofthe satellite provides this power is sufficient for parameters. approximately seven years. For continued operation beyond this period, Generally, smaller antennas with larger one of the following alternatives must beamwidth do not require tracking when be implemented: accessing a geosynchronous satellite. This condition is not true for larger a. Carry more fuel in the spacecraft. antennas which wish to track inclined This proposition will increase the orbit satellites. Thisdrawback requires weight of the spacecraft and may frequent periodic corrections in the increase the cost for launching. earth station antenna look angle. b. Curtail some of the satellite The larger inclination of a satellite stationkeeping activities which poses greater problems forthe accessing will have the least impact on the ground station because the movement of characteristics of the satellite. thesatellite is not in synchronization with the movement of the earth. Please INCLINED ORBIT SATELLITE see equation 4.0. It is financially economical and Other parameters, as such, polarization technically feasible to curtail some of isolation and satellite beam coverage the stationkeeping activities. Most drastically change. domestic satellite vendors have opted for east-west stationkeeping only. To offset these problems a stringent There are two basic reasons for this tracking requirement is needed. decision (a) compliance with the FCC rules and (1)) reduction of up to 96% in Someofthe following international and satellite fuel, which is in limited domestic satellites presently orbitring in supply. The deletion of north-south the inclined orbit are INTELSAT stationkeeping activity approximately satellites at 338.5' E and 177' E, two months prior to the end of the GSTAR 111, EUTELSAT F1 at 16' E t>tc. seven years operational period allows the satellite to drift in a figure I8l SATELLITE TRACKING shape. Figure 2 depicts a week of satellite path3 in an inclined orbit. As the satellites started crowding the geosynchronous orbit, trackingbecame an SATELLITE PARAMETERS essential element of an earth station equipped with fairly large-sized Movement of a satellite in the inclined antennas. The decision to incorporate orbit poses problems to an earth tracking into an earth station is station in establishing a communication contingent upon antenna half-power 14.6.3. 0366 beamwidth, satellite orbit and cost. Step tracking systems equipped with The signal strength of a Trajectory Algorithm (TEA) are being used transmit/receive carrier depends upon to track an inclined orbit satellite. The the alignment of antenna beamwidth with TEA approach takes into consideration respect to the satellite. Therefore, it INTELSAT's eleven parameters along with becomes necessary to implement a some additional parameters. tracking system if the antenna has a narrow beamwidth. Program tracking, an accurate way to follow a satellite at Ku-band frequency, The simplest form of a tracking system is a suitable technique for above could be a mechanical driver that moves mentioned case c which requires the antenna boresight axis in a plane. prediction and computation of all Determination of the required movement physical effects acting on the satellite could be achieved in three ways: !a) with respect to time. Pre-determined receive the satellite signal during satellite positions are furnished by entire communication period, (b) track Telemetry Tracking and Control station to the satellite when it is needed, and the transponder users. (c) beam an earth station toward a satellite based upon pre-determined A simple program tracker is not capable position. of peaking an inclined orbit satellite. A program tracking system must be devised In first category, Monopulse tracking, to take into consideration of parameters an expensive technique, utilizes a real similar to INTELSAT's Ephemeris data. The time nulling process with Automatic Ephemeris data may be different for non- Gain Control.