A smart laser pointer is disclosed in this application that includes a laser coupled to a processor that can disable the laser from operating for a period of time (T) based on a disabling trigger. The smart laser pointer may also include an optical receiver coupled to the processor that detects received laser signals that are emitted from the laser after they are reflected off of a target and a memory storing position information threshold limits. The processor calculates measured position information based on the received laser signals detected by the optical receiver and compares them to the position information threshold limits. A disabling trigger occurs when the position information exceeds the position information threshold limits. The position information and threshold limits may include a distance or a velocity. These threshold limits are provided to ensure that the smart laser pointer cannot be used to target distant fast moving aerial targets such as commercial aircraft or helicopters, but still operate in legitimate contexts such as a conference room with a target such as a display screen that is stationary and close to the smart laser pointer. The smart laser pointer can include a unique identifier that is encoded on a signal emitted by the laser to enable a third party law enforcement agency to determine the exact laser pointer that is emitting the signal. The smart laser pointer may include a GPS chip to determine its exact geographic location. This geographic location information is encoded on a signal emitted by the laser to enable a third party law enforcement agency to determine the exact location of the laser pointer that is emitting the signal. The smart laser pen may include a blue tooth antenna to enable it to communicate with a mobile application on a mobile device. The mobile application is configured to receive text messages from law enforcement that instruct the mobile application to transmit a disabling signal to the smart laser pen to shut down the laser and prevent it from operating. The smart laser pen may also include an RF antenna that can receive a disabling command to shut down the laser and prevent it from operating. These features allow law enforcement to identify, locate, and shut down the operation of the smart laser pen, thereby enhancing aircraft safety.
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0. 31. A laser device, comprising:
a laser emitting a laser signal;
a processor coupled to the laser;
an antenna coupled to the processor; and
an identifier uniquely identifying the laser device, wherein the processor modulates the laser to emit a signal containing the identifier, wherein the processor disables the laser for a period of time (t) when the antenna receives a disabling signal from a third party containing the identifier extracted from the laser signal.
0. 28. A laser device, comprising:
a laser emitting a laser signal;
a processor coupled to the laser; and
an optical receiver coupled to the processor, the optical receiver detects the laser signal after it is reflected off of a target, the processor determines a measured altitude of the target using the reflected laser signal, wherein the processor disables the laser from operating for a period of time (T) based on a disabling trigger that occurs when the measured altitude exceeds an altitude threshold limit.
0. 21. A laser device, comprising:
a laser emitting a laser signal;
a processor coupled to the laser; and
an optical receiver coupled to the processor, the optical receiver detects the laser signal after it is reflected off of a target, the processor determines a measured velocity of the target relative to the laser device based on the reflected laser signal, wherein the processor disables the laser from operating for a period of time (T) based on a disabling trigger that occurs when the measured velocity exceeds a velocity threshold limit.
0. 41. A laser device, comprising:
a laser emitting a laser signal;
a processor coupled to the laser; and
an optical receiver coupled to the processor, the optical receiver detects the laser signal after it is reflected off of a target, the processor determines a measured distance of the target relative to the laser device based on the reflected laser signal, wherein the processor disables the laser from operating for a period of time (T) based on a disabling trigger that occurs when the measured distance exceeds a distance threshold limit.
0. 1. A laser device, comprising:
a laser; and
a processor coupled to said laser, wherein said processor disables said laser from operating for a period of time (T) based on a disabling trigger that occurs when said laser is pointed at an aircraft.
0. 2. The laser device of
an optical receiver coupled to said processor, said optical receiver detects received laser signals that are emitted from said laser after they are reflected off of a target; and
a memory storing position information threshold limits, wherein said processor calculates measured position information based on the received laser signals detected by said optical receiver, wherein said processor compares said measured position information to said position information threshold limits, wherein said disabling trigger occurs when said position information exceeds said position information threshold limits.
0. 3. The laser device of
0. 4. The laser device of
0. 5. The laser device of
0. 6. The laser device of
0. 7. The laser device of
0. 8. The laser device of
0. 9. The laser device of
0. 10. The laser device of
0. 11. The laser device of
0. 12. The laser device of
0. 13. The laser device of
0. 14. The laser device of
0. 15. The laser device of
0. 16. The laser device of
0. 17. The laser device of
0. 18. The laser point of claim of
0. 19. The laser device of
an optical receiver coupled to said processor, said optical receiver detects received laser signals that are emitted from said laser after they are reflected off of a target;
a 3-axis accelerometer and gyroscope from which said processor can determine an angular position of said laser device with respect to Earth; and
a memory storing a limitation profile, wherein said processor calculates measured position information based on the received laser signals detected by said optical receiver, wherein said processor compares said measured position information to said limitation profile, wherein said disabling trigger occurs when said measured position information exceeds said limitation profile.
0. 20. The laser device of
0. 22. The laser device of claim 21, further comprising a 3-axis accelerometer and gyroscope from which the processor can determine an angular position of the laser device with respect to Earth, wherein the processor calculates a measured height based on the reflected laser signal and the angular position, wherein the disabling trigger further comprises the measured height exceeding a height threshold limit.
0. 23. The laser device of claim 22, wherein the period of time (T) is at least 30 seconds, or at least 1 minute.
0. 24. The laser device of claim 23, wherein the laser is a green laser.
0. 25. The laser device of claim 21, wherein the velocity limitation is at least 50 mph.
0. 26. The laser device of claim 21, further comprising:
an antenna coupled to the processor; and
an identifier uniquely identifying the laser device, wherein the processor modulates the laser to emit a signal containing the identifier, wherein the processor disables the laser for a period of time (t) when the antenna receives a disabling signal from a third party containing the identifier extracted from the laser signal.
0. 27. The laser device of claim 26, further comprising a GPS chip coupled to the processor, the GPS chip detects a geographic location of the laser device, wherein the processor encodes the geographic location on the laser signal emitted by the laser to enable a third party to determine the location of the laser device based upon the laser signal.
0. 29. The laser device of claim 28, further comprising a 3-axis accelerometer and gyroscope from which the processor can determine an angular position of the laser device with respect to Earth, wherein the processor calculates the measured altitude using the reflected laser signal and the angular position.
0. 30. The laser device of claim 29, further comprising a GPS chip coupled to the processor, the GPS chip detects a geographic location of the laser device, wherein the processor calculates the measured altitude using the reflected laser signal, the angular position, and the geographic location of the laser device.
0. 32. The laser device of claim 31, wherein the disabling signal further includes an encrypted instruction code directing the processor to disable the laser.
0. 33. The laser device of claim 32 wherein the antenna is an RF antenna.
0. 34. The laser device of claim 33, further comprising a mobile application on a mobile device configured to communicate with the processor through the antenna, wherein the antenna is a blue tooth antenna, wherein the processor enables the laser to function based upon an enabling trigger received by the processor through the blue tooth antenna transmitted from the mobile device under the direction of the mobile application.
0. 35. The laser device of claim 34, wherein the enabling trigger includes a mobile telephone number associated with the mobile device, wherein the processor modulates the laser to transmit the mobile telephone number on the laser signal, wherein the disabling trigger is a disabling signal transmitted by the mobile device to the processor through the blue tooth antenna, wherein the mobile application automatically directs the mobile device to transmit the disabling signal after the mobile device receives a text message from a third party containing an encrypted security code directing the mobile device to disable the laser.
0. 36. The laser device of claim 35, further comprising a GPS chip coupled to the processor, the GPS chip detects a geographic location of the laser device, wherein the processor encodes the geographic location on the laser signal emitted by the laser to enable a third party to determine the location of the laser device based upon the laser signal.
0. 37. The laser device of claim 36, wherein the period of time (t) is at least 30 seconds, or at least 1 minute.
0. 38. The laser device of claim 37, wherein the laser is a green laser.
0. 39. The laser device of claim 38, further comprising:
an optical receiver coupled to the processor, the optical receiver detects the laser signal after it is reflected off of a target, the processor determines measured position information of the target relative to the laser device based on the reflected laser signal, wherein the processor disables the laser from operating for a period of time (T) based on a disabling trigger that occurs when the measured position information exceeds a position threshold limit.
0. 40. The laser device of claim 39, further comprising a 3-axis accelerometer and gyroscope from which the processor can determine an angular position of the laser device with respect to Earth, wherein the position threshold limit is a multi-parameter limitation profile comprising a velocity limitation, a distance limitation, and an angular limitation, wherein the multi-parameter limitation profile is stored in a memory, wherein the disabling trigger occurs when one, two or three of the limitations in the multi-parameter limitation profile are exceeded by the measured position information.
0. 42. The laser device of claim 41, further comprising a 3-axis accelerometer and gyroscope from which the processor can determine an angular position of the laser device with respect to Earth, wherein the processor calculates a measured height based on the reflected laser signal and the angular position, wherein the disabling trigger further comprises the measured height exceeding a height threshold limit.
0. 43. The laser device of claim 42, wherein the processor determines a measured velocity of the target relative to the laser device based on the reflected laser signal, wherein the disabling trigger further comprises the measured velocity exceeding a velocity threshold limit.
0. 44. The laser device of claim 43, wherein the period of time (T) is at least 30 seconds, or at least 1 minute.
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Aiming a laser at an aircraft is a serious safety risk and violates federal law. Many high-powered lasers can completely incapacitate pilots who are trying to fly safely to their destinations with hundreds of passengers. The Federal Aviation Administration is working with federal, state, and local law enforcement agencies to pursue civil and criminal penalties against individuals who purposely aim a laser at an aircraft. The potential that terrorists could seek to disrupt air travel through the use of lasers is real.
Federal Aviation Administration researchers have compiled a database containing more than 3,000 reports of aircraft laser illumination events over a 20-year period. These reports describe the illumination of military and civilian aircraft by lasers, including law enforcement and medical evacuation flights. No accidents have been attributed to the illumination of crewmembers by lasers, but given the sizeable number of reports and debilitating effects that can accompany such events, the potential does exist. On December 2013 a commercial airline pilot and copilot averted a disaster by landing an airplane safely at Palm Beach International Airport after a blinding laser was pointed at the cockpit from the ground, according to the Palm Beach County, Fla., Sheriff's Office. On Dec. 26, 2013, a commercial flight approached New York's John F. Kennedy International Airport. The pilot of that plane was temporarily blinded by a laser and experienced blurry vision for a week following the incident. On Mar. 21, 2013, a 27-year-old man pointed a bright green laser at the pilot of a Columbus, Ohio, Division of Police helicopter. The prosecutor stated at sentencing that “the blinding effect when the laser beam came through the helicopter's windshield could have caused a crash in a heavily populated residential area.” The subject stated that he pointed the laser because he was bored. He was sentenced to 45 days in jail plus 18 months probation. The security-council chair for the Airline Pilots Association has been struck by lasers on five separate occasions during his career. The most serious of the laser strikes occurred 45 seconds prior to landing a CJR-700 aircraft with 67 passengers and four crew members on board in 2011. The captain reported temporary blindness and disorientation.
Sudden exposure to laser radiation during a critical phase of flight, such as on approach to landing or departure, can distract or disorient a pilot and cause temporary visual impairment. Permanent ocular damage is unlikely since the majority of incidents are brief and the eye's blink response further limits exposure. In addition, considerable distances are often involved, and atmospheric attenuation dissipates much of the radiant energy.
Although lasers have many legitimate outdoor uses, such as in astronomical research, deep-space communications, orbital satellite imaging, and outdoor displays to attract and entertain the public, the misuse of laser devices poses a serious threat to aviation safety. Aviators are particularly vulnerable to laser illuminations when conducting low-level flight operations at night. The irresponsible or malicious use of laser devices can threaten the lives of flight crews and passengers.
FAA flight simulator studies, however, have shown the adverse visual effects from laser exposure are especially debilitating when the eyes are adapted to the low-light level of a cockpit at night. Similar to a camera flash at close proximity or the high-beam headlights of an oncoming car, recovering optimal visual performance after exposure to laser light may take from a few seconds to several minutes. Besides startle and distraction, the three most commonly reported physiological effects associated with laser exposures are: Glare—Obscuration of an object in a person's field of vision due to a bright light source located near the same line of sight; Flashblindness—A visual interference effect that persists after the source of illumination has been removed; and Afterimage—A transient image left in the visual field after an exposure to a bright light.
Laser activity in navigable airspace is continually monitored to better define the nature of the threat from outdoor lasers. The number of laser events increased over 300% from 2005 to 2008. This increase may be due to heightened awareness of the problem by flight crewmembers, the introduction of an authorized reporting process, and the increased availability of high-output, handheld laser devices. Once only marketed as “laser pointers” and used for pointing out topics of interest in slide presentations with output power from 1 to 5 mW, handheld laser devices can now be purchased over the Internet with output power as high as 500 mW. While the Food and Drug Administration prohibits the sale of “laser pointers” that exceed 5 mW, it does not prohibit the sale of more powerful, handheld lasers, if they are equipped with the appropriate labels and safety mechanisms.
The latest reports indicate that aircraft illuminations by handheld lasers are primarily green (91%) in color, as opposed to red (6.3%), which was more common a few years ago. This is significant because the wavelength of most green lasers (532 nm) is close to the eye's peak sensitivity when they are dark-adapted. A green laser may appear as much as 35 times brighter than a red laser of equal power output. Due to this heightened visibility and increased likelihood of adverse visual effects, illumination by green lasers may result in more events being reported.
Illumination reports often describe several types of adverse effects. These include visual effects (8.2%), pain and/or possible injury (1.6%), and operational problems (3.2%). Operational problems include momentary distraction, disorientation resulting in another pilot assuming control, aborted landings, loss of depth perception, and shutting down of runways due to multiple laser strikes. While only 16.5% of all cockpit illuminations occurred below 2,000 feet (Laser-Free Zone), these incidents accounted for 31% of all visual effects, 42% of all pain or injuries, and 42% of all operational problems reported. Low-attitude illuminations, therefore, result in a greater risk to aviation safety.
Studies have also shown that almost 70% of all incidents occurred between 2,000 and 10,000 feet AGL, 22% occurred in November and December, and 70% happened between the hours of 7 and 11 pm. There is a real and urgent need to develop technologies that could prevent the ability for laser devices to be used by criminal or terrorist elements to promote aviation safety.
A laser device is disclosed that includes a laser coupled to a processor that can disable the laser from operating for a period of time (T) based on a disabling trigger. The laser device may also include an optical receiver coupled to the processor. The optical receiver detects received laser signals that are emitted from said laser after they are reflected off of a target. The laser device may also include a memory storing position information threshold limits. The processor calculates measured position information based on the received laser signals detected by the optical receiver. The processor compares the measured position information to the position information threshold limits. A disabling trigger occurs when the position information exceeds the position information threshold limits. The position information threshold limits may be a distance limitation where the measured position information is a measured distance and the disabling trigger occurs when the measured distance exceeds the distance limitation.
The laser device may also include a 3-axis accelerometer and gyroscope from which the processor can determine an angular position of the laser device with respect to Earth. With this 3-axis accelerometer and gyroscope, the processor can extract horizontal-length and vertical-distance information from the measured distance and angular position. The distance limitation could be a height limitation where the measured distance is a measured height calculated from the measured position information and the angular position. A disabling trigger occurs when the measured height exceeds said height limitation. The distance limitation could be a horizontal-length limitation where the measured distance is a measured horizontal-length calculated from the measured position information and the angular position. A disabling trigger occurs when the measured horizontal-length exceeds the horizontal-length limitation. In addition, the position information threshold limits could include a velocity limitation where the measured position information is a measured velocity. A disabling trigger occurs when the measured velocity exceeds the velocity limitation. These threshold limits are provided to ensure that the smart laser device cannot be used to target distant fast moving aerial targets such as commercial aircraft or helicopters, but still operate in legitimate contexts such as a conference room with a target such as a display screen that is stationary and close to the smart laser device. The differentiator here is that legitimate presentation targets such as projector screens in a conference room are close and stationary, thereby enabling the use of position threshold limitations to limit the operation of the laser if the target is too far or too fast, such as aircraft.
The laser device may also include an antenna coupled to the processor where the antenna receives a disabling signal from a third party containing a disabling trigger. Third parties may include law enforcement personnel. The laser device may further include an identifier embedded in the processor uniquely identifying the processor. The processor can modulate the laser to emit a signal containing the identifier, thereby allowing third parties to detect and identify the identifier from the emitted laser signal. A disabling signal can be transmitted to the laser device by third parties that includes the identifier, thereby allowing the third party to uniquely identify and shut down the laser device through the disabling signal. Thus, the laser device can be deactivated remotely by law enforcement personnel. The disabling signal may further include an encrypted instruction code directing said processor to disable the laser. The antenna may be an RF antenna.
The laser device may be wirelessly coupled to a mobile application on a mobile device. The mobile application is configured to communicate with the processor on the laser device through the laser device's antenna. In this embodiment, the antenna may be a blue tooth antenna. The processor enables the laser to function based upon an enabling trigger received by the processor through the blue tooth antenna transmitted from the mobile device under the direction of the mobile application. The enabling trigger includes a mobile telephone number associated with the mobile device. The processor modulates the laser to transmit the mobile telephone number so that third parties, such as law enforcement, can determine the mobile phone number of the mobile device coupled to the laser device from the emitted laser signal. A disabling trigger in this context is a disabling signal transmitted by the mobile device to the processor through the blue tooth antenna. The mobile app automatically directs the mobile device to transmit the disabling signal after the mobile device receives a text message from a third party, such as law enforcement containing an encrypted security code directing the mobile device to disable the laser.
The laser device may also include a GPS chip coupled to the processor. The GPS chip detects a precise geographic location of the laser device. The processor encodes said precise geographic location on a laser signal emitted by the laser to enable a third party, such as law enforcement to determine the location of the laser device based upon the laser signal.
The distance limitation may be set to a size configuration of a large conference room. The velocity limitation may be set of a velocity less than the speed of commercial aircraft during take-off or an approach and landing from an airport. The period of time (T) may be greater than 30 seconds to enable a commercial aircraft to travel a safe distance away from the laser device before the processor reactivates the laser to function. The period of time (T) may be greater than one minute to enable a commercial aircraft to travel a safe distance away from the laser device before the processor reactivates the laser to function. The period of time (T) may also be indefinite.
A laser device is disclosed that includes an optical receiver coupled to a processor. The optical receiver detects received laser signals that are emitted from the laser after they are reflected off of a target. The laser device also includes a 3-axis accelerometer and gyroscope from which the processor can determine an angular position of the laser device with respect to Earth. The laser device includes a memory storing a limitation profile. The processor calculates measured position information based on the received laser signals detected by the optical receiver. The processor compares the measured position information to the limitation profile. A disabling trigger occurs when the measured position information exceeds the limitation profile. The limitation profile includes a distance limitation, a velocity limitation, and an angular limitation.
The objective of this invention is to provide a smart laser device that can be used for conference presentations, hunting, recreational time with household pets, and other legitimate uses while preventing detrimental uses such as attempting to blind pilots flying helicopters or commercial fixed wing aircraft.
Further aspects of the invention will become apparent as the following description proceeds and the features of novelty which characterize this invention are pointed out with particularity in the claims annexed to and forming a part of this specification.
The novel features that are considered characteristic of the invention are set forth with particularity in the appended claims. The invention itself; however, both as to its structure and operation together with the additional objects and advantages thereof are best understood through the following description of the preferred embodiment of the present invention when read in conjunction with the accompanying drawings, wherein:
While the invention has been shown and described with reference to a particular embodiment thereof, it will be understood to those skilled in the art, that various changes in form and details may be made therein without departing from the spirit and scope of the invention.
Laser 20 emits signals 130 that reflect off of target 140 as reflected signal 150. Optical receiver 30 detects reflected signals 150. Processor 40 and controller 50 control the operation of laser 20. Processor 40 utilizes the information from optical receiver 30 to determine position information of laser pointer 10 relative to target 140. This distance calculation may be determined by a Time Of Flight (TOF) measurement or through the use of interferometry. This position information can include the distance between target 140 and laser pointer 10. Multiple distance measurements over time can provide the relative velocity between target 140 and laser device 10. Processor 40 includes a unique identifier 110 that uniquely identifiers processor 40 from all other processors. Controller 50 and/or processor 40 can control the operation of laser 20 and cause it to encode signal 130 to include digital information. This digital information can include identifier 110. Laser pointer 10 includes GPS processor 70 that identifies the geographic location of laser device 10 with GPS coordinates. Processor 40 and/or controller 50 can control the operation of laser 20 and cause it to encode signal 130 with digital information that includes these GPS coordinates.
Laser device 10 includes 3-axis accelerometer and gyroscope 90 that can determine the relative angle that laser device 10 is emitting signal 130 relative to the Earth. The nature of target 140 will indicate whether it is a legitimate target or illegitimate target. A key illegitimate target is aircraft. Aircraft have distinctive distance and velocity characteristics that distinguish them from legitimate targets such as presentation screens in a conference room, or a playful cat in a living room. These differences in distance and velocity enable processor 40 to distinguish legitimate targets 140 from illegitimate ones based upon the relative distance and velocity information calculated by processor 40 based upon reflected signals 150 received by optical receiver 30. Also, the relative angle that laser device 10 is pointed at target 140 can indicate whether it is a legitimate target 140 or not.
In order to determine whether target 140 is legitimate or illegitimate based upon position information such as distance, velocity, or relative angle, memory 80 stores position threshold limitations that distinguish legitimate targets from illegitimate ones. These position threshold limitations may be stored as a limitation profile based on a single limitation, such as distance, velocity, or angle. In these instances, aircraft are generally regarded to be farther in distance, faster in velocity, and higher in angle than a legitimate target 140, such as a presentation screen in a conference room or a cat on a floor. The limitation profile can become more sophisticated based on two of these parameters, or all three of these parameters. Processor 40 accesses this limitation profile from memory 80 and uses it to compare it to the measured position information as calculated based upon the reflected signals detected by optical receiver 30. If the measured position information is within the bounds of the limitation profile, then controller 50 and processor 40 allow laser 20 to continue to function. If the measured position information is outside of the bounds of the limitation profile, then controller 50 and processor 40 will disable the operation of laser 20. Exceeding the bounds of the limitation profile is a disabling trigger.
Blue tooth circuitry 100, which includes a blue tooth antenna, enables laser device 10 to communicate with mobile device 170 via blue tooth signals. Mobile device 170 can include a mobile application 2000, shown in
Processor 40 may shut down the operation of laser 20 for a finite period of time (T), such as 30 seconds, one minute, two minutes, three minutes, 5 minutes, 10 minutes, 20 minutes, or one hour. These time periods are merely exemplary. Processor 40 may shut down the operation of laser 30 for a finite period of time in the event that the measured position information exceeds the limitation profile. This finite period during which laser 20 cannot operate allows an aircraft to proceed out of range of laser 20 before it can operate again. This temporary period for disabling laser 20 may reflect the fact that laser 20 was inadvertently pointed at an inappropriate target. For example, accidentally pointing laser 20 through a window at a conference room may cause processor 40 to determine that the limitation profile was exceeded and shut down laser 20. However, by waiting a finite period of time (T), processor 40 will reactivate laser 20 for use. A finite period of time (T), such as one minute, would allow an aircraft to travel a substantial distance away from laser device 10, but incur a minor disruption to a presentation or other legitimate use.
TABLE 1
Aircraft
Takeoff Speed
Landing Speed
Boeing 737
150 mph
150 mph
Boeing 757
160 mph
160 mph
Boeing 747
180 mph
180 mph
Airbus A320
170 mph
170 mph
Airbus A340
180 mph
180 mph
Cessna 150
63 mph
63 mph
The Federal Aviation Administration (FAA) reports that almost 70% of all incidents occurred when the aircraft is between 2,000 and 10,000 feet altitude, a distance D2 substantially larger than the distance D1 of laser device 10 from screen 210. Further, the (FAA) reports that these incidents commonly occur during takeoff and landing, given the low altitude occurrence of the attacks. As shown by Table 1, large commercial aircraft have takeoff an landing speeds commonly above 150 mph, a velocity V2 well above the relative velocity V1 between laser device 10 and screen 210. Even a propeller driven Cessna 150 has a speed V2 of 63 mph at takeoff and landing, well above velocity V1. Thus, it is possible to differentiate legitimate uses of laser device 10 from illegitimate uses based upon the relative distance D and velocity V calculated by laser device 10 based on reflected signal 150 and signal 130. This differentiation allows for the use of limitation thresholds based on distance and speed to control whether laser device 10 can operate. Safe and lawful uses of laser device 10 are characterized by short distances and low relative speeds. Unlawful and dangerous uses of laser device 10 are characterized by longer distances and higher relative speeds. Processor 40 determines whether to operate laser 20 based on a comparison of these limitation thresholds to measured information based on signal 130 and reflected signal 150.
EQ1:
D > D-MAX?
EQ2:
H > H-MAX?
EQ3:
L > L-MAX?
EQ4:
V > V-MAX?
TABLE 2
Threshold
Max
Max
Max
Max
Max
Limit
Horizontal
Vertical
Velocity
Distance
Angular
Ranges
Threshold
Threshold
Threshold
Threshold
Threshold
for certain
Limit
Limit
Limit
Limit
Limit
uses
(L-MAX)
(H-MAX)
(V-MAX)
(D-MAX)
(β-MAX)
Conference
50 ft.-
20 ft.-
1.0 mph-
50 ft.-
60 degrees
Rooms
300 ft.
200 ft.
50 mph
300 ft.
Astronomy
NA
>20 miles
Equal to
>20 miles
NA
Earth's
rotation
Pet Toys
50 ft.-
20 ft.-
1.0 mph-
50 ft.-
60 degrees
300 ft.
200 ft.
50 mph
300 ft.
The system of
While the invention has been shown and described with reference to a particular embodiment thereof, it will be understood to those skilled in the art, that various changes in form and details may be made therein without departing from the spirit and scope of the invention.
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