WO2002039616A2 - Virtual geostationary satellite constellation and method of satellite communications - Google Patents
Virtual geostationary satellite constellation and method of satellite communications Download PDFInfo
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- WO2002039616A2 WO2002039616A2 PCT/US2001/042884 US0142884W WO0239616A2 WO 2002039616 A2 WO2002039616 A2 WO 2002039616A2 US 0142884 W US0142884 W US 0142884W WO 0239616 A2 WO0239616 A2 WO 0239616A2
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- virtual
- geostationary
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Classifications
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B64—AIRCRAFT; AVIATION; COSMONAUTICS
- B64G—COSMONAUTICS; VEHICLES OR EQUIPMENT THEREFOR
- B64G1/00—Cosmonautic vehicles
- B64G1/22—Parts of, or equipment specially adapted for fitting in or to, cosmonautic vehicles
- B64G1/24—Guiding or controlling apparatus, e.g. for attitude control
- B64G1/242—Orbits and trajectories
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B64—AIRCRAFT; AVIATION; COSMONAUTICS
- B64G—COSMONAUTICS; VEHICLES OR EQUIPMENT THEREFOR
- B64G1/00—Cosmonautic vehicles
- B64G1/10—Artificial satellites; Systems of such satellites; Interplanetary vehicles
- B64G1/1085—Swarms and constellations
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/14—Relay systems
- H04B7/15—Active relay systems
- H04B7/185—Space-based or airborne stations; Stations for satellite systems
- H04B7/1851—Systems using a satellite or space-based relay
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/14—Relay systems
- H04B7/15—Active relay systems
- H04B7/185—Space-based or airborne stations; Stations for satellite systems
- H04B7/195—Non-synchronous stations
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B64—AIRCRAFT; AVIATION; COSMONAUTICS
- B64G—COSMONAUTICS; VEHICLES OR EQUIPMENT THEREFOR
- B64G1/00—Cosmonautic vehicles
- B64G1/10—Artificial satellites; Systems of such satellites; Interplanetary vehicles
- B64G1/1007—Communications satellites
Definitions
- the present invention is generally related to satellite communication systems and, more particularly, to a constellation of nongeostationary satellites that increases global communication capacity but does not interfere with satellites in the geostationary satellite ring or with each other.
- Geostationary satellites (“geosatellites”) were first proposed many years ago for use with communication systems. Geosatellites operate based on the physical concept that a satellite, at the proper working radius, orbits the earth at the same angular velocity as the earth's rotation. These satellites therefore appear to be fixed relative to a point on the earth. This arrangement allows an antenna on the earth to continually point at the satellite which ' ' facilitates use of the geosatellites for communications applications.
- a three-satellite geosatellite system could have the satellites spaced egually along the equator, at 120-degree intervals. Their limit of visibility on the equator is calculated from the relationship:
- Information begins its transmission toward a satellite at a gateway station. That gateway station transmits up to the satellite in orbit via a radio-frequency (rf) link. The satellite then retransmits the information to communicate to, or "cover" a portion of the earth. The same information may also be transmitted to another of the satellites to cover another part of the earth. Information is generally either sent over a landline between gateway stations or via satellite-to-satellite transmission, generally referred to as an intersatellite link (ISL) .
- ISL intersatellite link
- Such land communication requires additional equipment and expense. While the geosatellite ISL not only requires additional equipment, but also results in time delays in transmissions due to the distance of transmission between satellites. Such systems require a second antenna on each of the satellites in addition to complicating control and pointing structures. Even then, the distance may cause noise in the communication channel or frequency, primarily because of signal attenuation.
- a further aspect of the present invention is to provide arrays of nongeostationary satellites wherein the nongeostationary satellites do not interfere with the geostationary satellites in the ring about the earth.
- the present invention generally includes a method and system of creating a train of virtual GEO satellites that stretch across each of the entire ground tracks, including three active arcs (i.e., in an 8-Hour virtual GEO system) in such a manner that a 2° separation between adjacent virtual GEO satellites will be maintained, creating a 2-degree slot system for the active regions ' of the virtual GEO system.
- the terms "virtual geo,” “virtual GEO” or “VIRGO” are synonymous with the term “virtual geostationary satellite.”
- these nongeostationary satellites which shall mean any satellite not active within the geostationary satellite array, will not interfere with any satellites in the geo world.
- the nongeostationary satellites of the present invention actually maintain about 40° of separation, in latitude, from the equatorial ring.
- the nongeostationary satellites of the present invention will not interfere with each other because they will maintain at least 2° of spatial separation along their ground tracks in the active region.
- 168 virtual GEO slots could be formed in accordance with the present invention.
- This system may have six active arcs contained within two . repeating ground tracks in the Northern Hemisphere, and another six active arcs contained within two repeating ground tracks in the Southern Hemisphere. Effectively, 168 new communications satellite slots have been created for global use, which is a 93%
- ⁇ increase over the presently existing 180 geosatellite slot system.
- the virtual GEO system of the present invention therefore augments global telecommunications capacity without mutual interference with geosatellites or with other nongeosatellites .
- a completely different section of the sky is being utilized in the new design, than is presently being utilized in the well-known geo ring of equatorial 24-hour geostationary satellites.
- all the virtual GEO satellites are ⁇ flying in formation' maintaining the proper separation to avoid any mutual interference.
- Figure 1 shows a basic layout of five elliptical orbits having one satellite in each orbit according to the present invention
- Figure 2 is a flowchart showing a power distribution methodology of a virtual GEO satellite of the present invention
- Figures 3A-3B are block diagrams showing the electronics for a virtual GEO satellite and ground communication equipment used according to the present invention.
- Figure 4 shows the characteristics of a basic ellipse including the bunching together of satellites near apogee
- Figure 5 is a Cartesian plot showing a ground track for the elliptical orbits of Figure 1 according to the present invention
- Figure 6 shows the movement of a virtual GEO satellite through a ground track during a twenty-four hour period in accordance with the present invention
- Figure 7 is a Cartesian plot of 70 virtual GEO satellites in one ground track in accordance with the present invention
- Figure 8 is a Cartesian plot of 84 active virtual GEO satellites covering the Northern Hemisphere in two ground tracks in accordance with the present invention
- Figure 9 is a Cartesian plot of 168 active virtual GEO satellites covering the Northern and Southern Hemispheres in four ground tracks in accordance with the present invention.
- the present invention discloses a communication system including ground communication equipment and a constellation of virtual GEO satellites in elliptical orbits at lower altitudes than that necessary for geostationary orbits. These orbits simulate many of the characteristics of the geostationary orbit from the viewpoint of ground communication equipment on the earth.
- the virtual GEO satellites in the present elliptical orbits spend most of their time near the apogees of their orbits, i.e., the time when they are most distant from the earth.
- the virtual GEO satellites spend only a minority of their time near their perigee.
- a virtual GEO satellite in an 8-hour elliptical orbit may spend five to six of those hours near its apogee.
- the orbit velocity, at and near apogee approximates the rotational velocity of the earth.
- the present invention defines a communication system using a constellation of virtual GEO satellites chosen and operating such that a desired point on the earth always tracks and communicates with a virtual GEO satellite at or near apogee.
- the "mean motion” is a value indicating the number of complete revolutions per day that a satellite makes. If this number is an integer, then the number of revolutions each day is uniform. This means that the ground tracks of the satellites repeat each day; i.e., each ground track for each day overrides previous tracks from the preceding day.
- Mean motion is conventionally defined as the hours in a day (24) divided by the hours that it takes a satellite to complete a single orbit. For example, a satellite that completes an orbit every three hours (“a 3-hour satellite”) has a mean motion of 8.
- the "elevation angle” ( ⁇ ) is the angle from the observer's horizon up to the satellite. A satellite on the horizon would have 0° elevation while a satellite directly overhead would have 90° elevation. Geosatellites orbit near the equator, and usually have a 20-30° elevation angle from points in the United States.
- the "inclination” (I) is the angle between the orbital plane of the satellite and the equatorial plane.
- Prograde orbit satellites orbit in the same orbital-sense (clockwise or counter-clockwise) as the earth. For prograde orbits, inclination lies between 0° and 90°. Satellites in retrograde orbits rotate in the opposite orbital sense relative to the earth, so for retrograde orbits the inclination.- ⁇ lies between 90° and 180°.
- the "critical inclination” for an elliptical orbit is the planar inclination that results in zero apsidal rotation rate. This results in a stable elliptical orbit whose apogee always stays at the same latitude in the same hemisphere. Two inclination values satisfy this condition: 63.435° for prograde orbits or its supplement 116.565° for retrograde orbits .
- the "ascending node” is the point on the equator where the satellite passes from the Southern Hemisphere into the Northern Hemisphere.
- the right ascension of the ascending node (“RAAN”) is the angle measured eastward in the plane of the equator from a fixed inertial axis in space (the vernal equinox) to the ascending node.
- the "argument of perigee” is a value that indicates the position where orbital perigee occurs. Arguments of perigee between 0° and 180° locate the position of perigee in the Northern Hemisphere and hence concentrate the coverage in the Southern Hemisphere. Conversely, arguments of perigee between 180° and 360° locate the perigees to the Southern Hemisphere and hence concentrate the coverage on the Northern Hemisphere.
- (M) relates to the fraction of an orbit period elapsed since perigee, expressed as an angle.
- the mean anomaly three hours into a 12-hour orbit is 90°, i.e., one-fourth of a period.
- FIG. 1 therein is depicted five elliptical orbits each having one virtual GEO satellite of the present invention, this system is generally designated 10.
- Virtual GEO satellite 12 is shown in an elliptical orbit 14 around the earth.
- the communication equipment on satellite 12 communicates with earth ground stations 16 and 18.
- Virtual GEO satellite 20 is shown in a separate independent elliptical orbit 22, also in communication with earth ground stations 16 and 18. Satellite 12 can communicate directly to satellite 20 via a communication link indicated by dotted line 26.
- the virtual GEO satellites implemented in accordance with the method and system of the present invention are virtually continuously in the same general location or region in the sky.
- the ground communication equipment of the present invention does not always communicate with the same satellite.
- ground station 16 is initially in communication with satellite 12 but is later in communication with satellite 20.
- the virtual GEO satellites move slightly relative to the earth when they are at or near apogee.
- One important advantage of the present invention is that the one virtual GEO satellite at apogee later moves to perigee, and still later to other locations overflying other continents and areas including, for example, ground stations 24 and 26. Hence, that same virtual GEO satellite can later communicate with those other areas.
- this system allows a store-and-dump type system. For example, information from ground station 18 can be stored on board satellite 12 and later retransmitted when satellite 12 overflies ground station 24. This system also allows all the virtual GEO satellites in the array to communicate with the other virtual GEO satellites in the constellation.
- system of the present invention allows for operation over specific geographic locations that are preferentially covered; for example, continents can be followed by the constellation to the exclusion of other areas, e.g., ocean areas between the continents.
- continents can be followed by the constellation to the exclusion of other areas, e.g., ocean areas between the continents.
- other areas e.g., ocean areas between the continents.
- the United States, Europe and portions of Asia and Russia are preferentially covered.
- the virtual GEO satellites ' orbit at about half the altitude of geosatellites.
- a geosatellite orbits at an altitude of about 36,000 km.
- An eight-hour virtual GEO satellite orbits • at average altitudes of 16,000 to 18,000 km, with a peak or apogee altitude of about 27,000 km.
- geosatellites require apogee motors, to boost them from their original orbits into the final geo orbit. These apogee motors can and often do double the weight of the geosatellite.
- the present invention yields a communications system, which costs fewer dollars per launch because of the reduced satellite weight, a smaller delta-V and smaller launch vehicles.
- geosatellites since the geosatellites orbit at a higher altitude, they must operate at a higher power, and use a larger illuminating antenna, all other conditions on the ground being equal. As such, geosatellites have a much larger overall size. It should be noted that the size of the satellites tends to increase as the square of the distance. Therefore, the geosatellite needs to be at least twice as large and twice as powerful as a low altitude satellite.
- the system of the present invention also provides for very high elevation angles. Maximizing the elevation angle prevents interference with existing satellites such as true geostationary satellites. For example, communication between ground station 16 only occurs when satellite 12 is above line 30 which represents the altitude at which there is a 40° separation between the virtual GEO satellites of the present invention and geosatellites.
- This feature of the present invention allows the virtual GEO satellites to be operated without any possibility of interference with geosatellites in the geo band.
- the virtual GEO satellites of the present invention are preferably tracked at and near their apogee positions. The virtual GEO satellites near perigee are moving too rapidly, and hence are not tracked.
- the system of the present invention operates such that the virtual GEO satellites are only being utilized at certain times during their orbits, i.e., at and near apogee.
- the virtual GEO satellites are only utilized when their position is such that there is no possibility of the line of sight between the ground station and the virtual GEO satellite interfering with the geostationary band of satellites. This allows the satellite communication of the present invention to take place on the same communication frequency band normally assigned to geosatellites.
- the present invention teaches that when the virtual GEO satellites are not communicating, either because the virtual GEO satellites are no longer at their tracked apogee portion and/or when the virtual GEO satellites are in a region where they might interfere with geostationary satellites, the main transmission is turned off. During this time, the power supply is utilized to charge the battery.
- Geosatellites are utilized virtually 100% of the time (except when in eclipse) and hence their power supplies must be capable of full-time powering. This means, for example, if the satellite requires 5 kW to operate,- then the power supply and solar cells must be capable of supplying a continuous 5 kW of power.
- the virtual GEO satellites of the present invention are not utilized 100% of the time. During the perigee portions of the orbit, the virtual GEO satellites are typically not using their transmit and receive capability and hence, do not use a large part of their power capability. As such, the virtual GEO satellites of the present invention store the power that is being produced during this time of non use.
- the size of the power supply as compared with geosatellites is reduced by a factor of the percentage of time that the virtual GEO satellite is not utilized.
- the power sources for virtual GEO satellites of the present invention may be any known means, including solar cells, nuclear reactors, or the like. If the virtual GEO satellite is utilized half the time, then the -power source need only be sized to provide half the power. At times when the virtual GEO satellite is not being utilized, the power source provides power to a battery storage cell, which holds the power in reserve for times when the virtual GEO satellite is being utilized.
- Step 52 represents controlling the antenna. This requires that the processor keep track of the virtual GEO satellite's position in orbit. The pointing angle between the virtual GEO. satellite and the position of the geo ring is determined in step 54.
- Step 56 determines if there is any possibility of interference. If there is any possibility of interference, satellite s communications are disabled in step 58. If interference is not possible at step 56, then the satellite is enabled at step 60. An enabled satellite can be, but is not necessarily, turned on. Therefore, step 62 determines if the satellite is powered. This may be determined from the repeating ground 0 track, or other information. If the satellite is not powered at step 62, the battery is charged at step 64. If the satellite is powered, then power is drawn from both the supply and the battery at step 66. '
- FIG. 3A-3B A detailed block diagram of the electronics in a virtual s GEO satellite of the present invention such as satellite 12 and a ground station, such as ground stations 16 and 18 are shown in Figures 3A-3B.
- This block diagram shows elements, which carry out communication between ground station 18, satellite 12 and ground station 16.
- 0 intersatellite link 26 is shown from satellite 12 to satellite 20.
- the video input to be distributed is received as video input 200, and input to a video coder 202 which produces digital coded video information.
- This digital coded video is multiplexed with a number of other channels of video information by video multiplexer 204.
- the resultant multiplexed video 206 is modulated and appropriately coded by element 208 and then up-converted by transmitter element 210.
- the up-converted signal is transmitted in the Ku band, at around 14 GHz, by antenna 212.
- Antenna 212 is pointed at satellite 12 and is controlled by pointing servos 213.
- the transmission from antenna 21.2 is received by phased array antenna 214 of satellite 12.
- the received signal is detected by receiver 216, from which it is input to multiplexer 218.
- Multiplexer 218 also receives information from the intersatellite transponders 238.
- the output of multiplexer 218 feeds .. the direct transponders 250, which through a power amplifier 252 and multiplexer 254 feeds beam former 256.
- Beam former 256 drives a transmit, steerable phased-array antenna 260 which transmits a signal in a current geo frequency band to antenna 262 of ground station 16. This signal preferably uses the same frequency that is utilized by current geosatellites.
- the phased-array antenna 260 is steered by an onboard computer, which follows a preset and repeating path, or from the ground. This information is received by receiver 264, demodulated at 266, and decoded at 268 to produce the video output 270.
- Satellite 12 includes another input to multiplexer 218 from the steerable antenna 260, via the intersatellite link 26 and receiver 240. .Transmit information for intersatellite link 26 is multiplexed at 242 and amplified at 246 prior to being multiplexed.
- Output 222 of input multiplexer 218 represents a storage output.
- Satellite 12 may include electronics with the capability to store one hour of TV program information.
- the TV channels typically produce information at the rate of 6 megabytes per second.
- the channels are typically digitally multiplexed to produce information on 4-6 channels at a time. Therefore, the present invention preferably uses 22 gigabytes of storage to store more than one hour of information at about 4.7 megabytes per second.
- the information stored will be broadcast over the next continent.
- the storage unit 224 accordingly, is a wide SCSI-2 device capable of receiving 4.7 megabytes per second and storing 22 GB. Upon appropriate satellite command, the output of the storage unit is modulated and up-converted at 226.
- FIG. 3A depicts an onboard processor 280, which determines the position in the orbit and the steering of the antenna from various parameters.
- Power supply 290 supplies power to all of the various components and circuitry.
- Power supply 290 includes a source of power, here shown as a solar array 292, and an energy storage element, here shown as a battery array 294.
- the solar array 292 is sized to provide an amount of power that is less than that required to power the satellite communication which is referred to herein as the power ratio of the device.
- the power ratio depends on the kind of orbit that the virtual GEO satellite will have, and how long the virtual GEO satellite will be, transmitting during each elliptical orbit.
- the preferred power ratio is 0.6, this will power a virtual GEO satellite which is communicating 60 percent the time.
- the transmitter and receiver on board the virtual GEO..- satellite is off allowing solar array 292 to provide power to charge battery 294.
- An ellipse 80 is seen that has a focus 82.
- the satellites orbit along the path of ellipse 80, with the center of the earth being at the focus position 82 ("the occupied focus").
- Satellite 84 is positioned at the apogee and satellite 86 is positioned at the perigee of ellipse 80, which are the points respectively farthest from and closest to focus 82 of ellipse 80. The amount of difference between these distances defines the eccentricity of ellipse 80.
- the distance from focus 82 to the apogee is called the radius of apogee, r a
- the distance from focus 82 to the perigee is called the radius of perigee, r p .
- Figure 5 show a Cartesian plot of a ground track for a virtual GEO satellite array of the present invention having 15 virtual GEO satellites in the five elliptical orbits seen in Figure 1.
- the virtual GEO satellites have a mean motion of three.
- the ground track may be adjusted so as to pass directly over desired areas by adjusting the right ascensions of all the orbits while maintaining their, equal spacing.
- the argument of perigee is adjusted to obtain apogees over or nearly over the targeted latitude and longitude.
- the virtual GEO satellites favor the Northern Hemisphere as the apogees of the elliptical orbits are over the Northern Hemisphere.
- the virtual GEO satellites appear to hover or dwell along three equally-spaced meridians being spaced at 120° intervals.
- the geometry of the elliptical orbits of the virtual GEO satellites of the present invention provides a very high elevation angle, and hence avoids interference with the existing geosatellites.
- the preferred orbits have apogee and perigee altitudes of 26,967.6 km and 798.3 km, respectively.
- the virtual GEO satellites remain at apogee during the time while they are being tracked from the ground. Hence, these virtual GEO satellites are only tracked, and communicated with, while their velocity closely matches the velocity of the earth.
- three virtual GEO satellites in each arc are at or near apogee and are active.
- two virtual GEO satellites in each loop are at or near perigee and are inactive
- This system defines significant advantages _pver the geo system. Its operating altitudes are half that of existing geo systems. This greatly reduces link margins and emitted power requirements. Apogees are placed on the meridians of longitude of the heavily-populated areas for which the constellation is optimized, here, North America, Europe, Asia and Russia. Apogee points may also be adjusted to approximate the targeted area latitudes as well. The satellite tracking arcs over the targeted areas remain roughly overhead with slow angular movement during periods when the virtual GEO satellite is active. Since the virtual GEO satellites move from one geographic area to another, information once transmitted can be re-broadcast at another location.
- FIG. 6 a Cartesian plot of a twenty- four hour repeating ground track illustrating the movement of one virtual GEO satellite of the present invention is depicted.
- the position of the satellite is pictured on an hourly basic.
- the satellite is at apogee over North America-.
- time 1:00 the satellite has moved very little since it is near the apogee portion of its orbit and its velocity very closely matches the velocity of the earth.
- time 2:00 the satellite remains over North America, but begins to increase in speed as it moves toward perigee.
- time 3 : 00 the satellite is over South America.
- the satellite is at perigee approaching the Indian Ocean.
- the satellite is over Indonesia and is beginning to slow down as it approaches apogee.
- the satellite travels over Asia and Russia from time 6:00 to time 8:00 at which time the satellite is at apogee where its velocity again very closely matches the velocity of the earth.
- the satellite repeats its elliptical orbit having its next perigee at time 12:00 over the South Pacific Ocean, its next apogee at time 16:00 over Norway, its following perigee at time 20:00 near the Tasman Sea before returning to apogee at time 24:00 over North America.
- the virtual GEO satellite system of the present invention provides other unique advantages.
- the system allows for selective expansion of the communications coverage by adding additional virtual GEO satellites into the above described elliptical orbits and into additional elliptical orbits.
- a 70-satellite constellation of virtual GEO satellites in a single ground track is depicted.
- each of the virtual GEO satellites has an approximately 8-hour elliptical orbit that is composed of a basic ground track with three active loops, repeating every day.
- the orbit of these virtual GEO satellites has an apogee altitude of 26,967.6 km, a perigee altitude of 798.3 km, an altitude over the equator of 5,430.6 km, an altitude at the start and end of active arcs of 17,789.7 km, a latitude at the start and end of active arcs of 45.1° (N or S) and a maximum latitude reached in active arcs of 63.41°.
- fourteen active virtual GEO satellites occupy each of the arcs.
- up to fourteen independent systems can employ the fourteen slowly moving slots in each loop of the ground track, for a total of 42 "customers" for three loops.
- There is no interference between the virtual GEO satellites and satellites in the geostationary satellite ring as the virtual GEO satellites will remain inactive until they are in a position at greater than 40° separation in latitude from the geo ring (see figure 1) .
- there is no interference among the virtual GEO satellites while in the active region because they will preferably maintain at least 2° of separation.
- the virtual GEO satellites tend to bunch up in the region near apogees that occurs at roughly 63.4° latitude.
- the mean anomaly spacing to ensure a 2° satellite separation near apogee is 15°.
- the number of virtual GEO satellites per ground track could be as high as 72 (1080°/15°) . It has been found, however, that phasing problems may occur between different users if the maximum number of virtual GEO satellites in one ground track is 72.
- the preferred number of virtual GEO satellites usable within each ground track is 70, as depicted in figure 7, with 42 active virtual GEO satellites and 28 inactive virtual GEO satellites which yields a 60% duty cycle.
- such a constellation may also be constructed to include six loops in the Southern Hemisphere, as seen in figure 9.
- These virtual GEO satellites have orbits that are the inverse of those for the Northern Hemisphere having perigees that lie in the Northern Hemisphere and apogees that lie in the Southern Hemisphere.
- 288 slots may effectively be created, using the 15-degree mean anomaly spacing.
- 14 and 15 satellites lie within the bounds of the active duty arcs, in each of the loops at all times.
- the preferred number of virtual GEO satellites usable within the disclosed system is 280 satellites, which corresponds to 70 per ground track with exactly 14 satellites per active arc with a mean anomaly spacing of 15.42857° and a minimum width of the slots at apogee being 2.06°.
- the coordinated employment of such a system provides a new standard for greatly increasing the number of the world's communications satellites, with no interference to any of the geosatellites, and also no interference to each other.
- a total of 280 virtual GEO satellites will provide 168 active slots. This will nearly double the 180 2-degree slots that are currently available in the geo-ring.
- the world potential capacity may be increased by 168/180, or 93.3%.
- the method and system of the present invention can be utilized to improve the elliptical satellite orbits described in the past by increasing communications capacity with the addition of 168 slots.
Abstract
Description
Claims
Priority Applications (1)
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AU2002236436A AU2002236436A1 (en) | 2000-11-04 | 2001-11-01 | Virtual geostationary satellite constellation and method of satellite communications |
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US70644500A | 2000-11-04 | 2000-11-04 | |
US09/706,445 | 2000-11-04 |
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WO2002039616A2 true WO2002039616A2 (en) | 2002-05-16 |
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CN110378012A (en) * | 2019-07-16 | 2019-10-25 | 上海交通大学 | A kind of stringent regression orbit design method considering high-order gravitational field |
CN113353289A (en) * | 2021-04-25 | 2021-09-07 | 北京控制工程研究所 | Autonomous driving and separating method and device for space game and storage medium |
WO2021202045A1 (en) * | 2020-04-03 | 2021-10-07 | Viasat, Inc. | Satellite communications system with non-geosynchronous orbits |
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- 2001-11-01 AU AU2002236436A patent/AU2002236436A1/en not_active Abandoned
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US5845206A (en) * | 1995-03-24 | 1998-12-01 | Virtual Geosatellite Holdings, Inc. | Elliptical satellite system which emulates the characteristics of geosynchronous satellites |
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Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110378012A (en) * | 2019-07-16 | 2019-10-25 | 上海交通大学 | A kind of stringent regression orbit design method considering high-order gravitational field |
CN110378012B (en) * | 2019-07-16 | 2021-07-16 | 上海交通大学 | Strict regression orbit design method, system and medium considering high-order gravity field |
WO2021202045A1 (en) * | 2020-04-03 | 2021-10-07 | Viasat, Inc. | Satellite communications system with non-geosynchronous orbits |
US11863289B2 (en) | 2020-04-03 | 2024-01-02 | Viasat, Inc. | Satellite communications system with non-geosynchronous orbits |
CN113353289A (en) * | 2021-04-25 | 2021-09-07 | 北京控制工程研究所 | Autonomous driving and separating method and device for space game and storage medium |
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WO2002039616A3 (en) | 2002-12-27 |
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