BACKGROUND OF THE INVENTION 1. Field of the Invention
The present invention relates to a defensive device and, more particularly, to a protection apparatus and associated system and method for protecting an airborne platform from an incoming threat.
2. Description of Related Art
Many aircraft such as, for example, commercial aircraft are vulnerable to attack, such as with rockets and missiles, during take-off and landing, generally at a low altitude and low airspeed. Some active protection systems have been developed that can be implemented to destroy the warhead section of such threats using a threat-defeating interceptor having its own warhead that can be launched from platforms such as airborne helicopters and armored ground vehicles protection. However, such active protection systems utilize an interceptor carrying an explosively-loaded warhead, which may result in undesirable risk to the platform being protected in instances where the platform is, for example, a commercial aircraft. That is, the explosive warhead carried by the interceptor and used to defeat the threat may result in an undesirable risk to a commercial aircraft upon the explosion resulting from the threat being defeated.
More particularly, airborne platforms such as, for example, helicopters, airplanes, and the like, both military and civil as well as private and commercial, are subject to threats that can be generally categorized as follows:
- i. Chemical Energy (CE) threats such as, for example, missiles and unguided rockets, including but not limited to shoulder fired missiles, such as anti-aircraft type missiles, having a speed on the order of about 1,000 ft/sec to about 3,000 ft/sec.
- ii. Shoulder-fired low cost CE threats such as, for example, rocket-propelled grenades (“RPG”) having a speed on the order of about 400 ft/sec.
In this regard, specific defensive countermeasure (“CM”) techniques generally, and in theory, must be applied to defeat each respective type of threat. For example, a CE threat can be defeated by a fragmenting or blasting type of CM that can hit one or more critical locations of the warhead of the threat such that the warhead is asymmetrically detonated and thus becomes unable to form a penetrator or a penetrating jet typically characterizing such a threat, since simply destroying the body of the CE threat could still allow the penetrator formation and result in the piercing of the armor of and subsequent damage to the platform. However, the resulting explosions of the CM, and possibly the warhead of the threat, would represent a high risk to a slow-moving airborne platform.
Thus, there exists a need for a non-explosive protective weapon system capable of being effective to protect against incoming threats aimed at slow-moving and low-flying airborne platforms such as commercial aircraft during take-off and landing. In some instances, a simple configuration and/or construction of the protection apparatus, that is effective without using explosives, may be advantageous in terms of operational effectiveness, cost effectiveness, ease of construction/maintenance, and dependability.
BRIEF SUMMARY OF THE INVENTION The above and other needs are met by the present invention which, in one embodiment, provides a protection apparatus adapted to protect a moving platform associated therewith against an incoming threat having a mass. The protection apparatus has a mass and is adapted to be deployed from the moving platform in a first direction toward the threat, wherein the threat is moving in a second direction toward the moving platform at a threat velocity. Such a protection apparatus comprises a projectile housing. A first deployable device is operably engaged with the projectile housing, and is adapted to capture the threat upon deployment such that the protection apparatus mass is combined with the threat mass via the first deployable device. A second deployable device is operably engaged with the projectile housing, and is configured to be deployed upon the first deployable device capturing the threat. The second deployable device is further configured to decrease the velocity of the combined protection apparatus and threat masses in the second direction.
Another advantageous aspect of the present invention comprises a protection system adapted to protect a moving platform associated therewith against an incoming threat having a mass. Such a protection system comprises a launching device adapted to operably engage the moving platform. A protection apparatus has a mass and is configured to be deployed by the launching device in a first direction toward the threat, with the threat moving in a second direction toward the moving platform at a threat velocity. Such a protection apparatus comprises a projectile housing. A first deployable device is operably engaged with the projectile housing, and is adapted to capture the threat upon deployment such that the protection apparatus mass is combined with the threat mass via the first deployable device. A second deployable device is operably engaged with the projectile housing, and is configured to be deployed upon the first deployable device capturing the threat. The second deployable device is further configured to decrease the velocity of the combined protection apparatus and threat masses in the second direction.
Yet another advantageous aspect of the present invention comprises a method of protecting a moving platform against an incoming threat having a mass. Such a method comprises deploying a protection apparatus from the moving platform in a first direction toward a threat in response to detection thereof, with the threat moving in a second direction toward the moving platform at a threat velocity. The protection apparatus has a mass and comprises a projectile housing having a first and a second deployable device operably engaged therewith. The first deployable device is deployed from the projectile housing to capture the threat such that the protection apparatus mass is combined with the threat mass via the first deployable device. The second deployable device is then deployed from the projectile housing, upon the first deployable device capturing the threat, such that the second deployable device decreases the velocity of the combined protection apparatus and threat masses in the second direction.
Embodiments of the present invention thus provide a protection apparatus having certain advantageous features. For example, some embodiments implement a cuing sensor that is capable of, for instance, detecting the threat(s); discriminating the threat(s) from non-threats; determining the threat flight path, including distance, speed, and angular position, to determine if the platform to be protected will actually be threatened; timely directing the launch of an appropriate protection apparatus to capture the threat and prevent the threat from reaching the platform or otherwise disabling or deflecting the threat. Accordingly, a protection apparatus can be timely launched with an appropriate launch time and exit speed so to engage the threat at a pre-determined safe distance (otherwise referred to herein as the intercept distance) from the platform. Embodiments of the present invention therefore meet the above-identified needs and provide significant advantages as further detailed herein.
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWING(S) Having thus described the invention in general terms, reference will now be made to the accompanying drawings, which are not necessarily drawn to scale, and wherein:
FIG. 1 is a schematic of functionality of a protection apparatus according to one embodiment of the present invention for protecting a moving airborne platform against an incoming threat;
FIG. 2 is a schematic of a moving airborne platform being exposed to an incoming threat;
FIG. 3 schematically illustrates a protection apparatus according to one embodiment of the present invention being launched from a moving airborne platform in response to an incoming threat; and
FIGS. 4-8 schematically illustrate a protection apparatus according to one embodiment of the present invention being deployed to intercept an incoming threat and alter a trajectory characteristic thereof to thereby allow the moving airborne platform to escape the threat.
DETAILED DESCRIPTION OF THE INVENTION The present invention now will be described more fully hereinafter with reference to the accompanying drawings, in which some, but not all embodiments of the invention are shown. Indeed, this invention may be embodied in many different forms and should not be construed as limited to the embodiments set forth herein; rather, these embodiments are provided so that this disclosure will satisfy applicable legal requirements. Like numbers refer to like elements throughout.
FIGS. 1 and 2 schematically illustrate functionality of a protection apparatus according to one embodiment of the present invention, such a protection apparatus being indicated by thenumeral100 for protecting a movingairborne platform50 against anincoming threat75. In such a scenario, the threat75 (such as, for example, an unguided rocket, or an optical, radar or infrared guided/heat-seeking missile) has a weight Wthreat(and corresponding mass) and an approaching velocity Vthreattoward theairborne platform50 such as, or example, an airplane. Anairborne platform50, such as an airplane, initially taking off at a low altitude, for example, about 50 ft from the ground, may have a velocity Vplatformof about 150 mph or higher. At this point, theaircraft50 is vulnerable to thethreat75 since maneuverability of theaircraft50 is limited and the airspeed thereof is relatively low.
According to embodiments of the present invention, theaircraft50 includes athreat detection system600 having, for example, an optical sensor, an infrared sensor, and/or a radar device, configured to detect theincoming threat75 directed toward theaircraft50. Such athreat detection system600 may comprise, for example, a cuing sensor (or “second detection device”) associated therewith. In such embodiments, the cuing sensor may be configured to, for example, direct thelaunching device500 via a controller device (“second controller device”—not shown) to launch theprotection apparatus100 in response to detection of the incoming threat75 (see, e.g.,FIG. 3). Thethreat detection system600 may be implemented in many different manners. For example, thethreat detection system600 may be mounted to theplatform50 on or in close proximity to thelaunching device500, may be mounted in theprotection apparatus100, or may be disposed remotely with respect to thelaunching device500 and/or theplatform50.
In embodiments of the present invention, thethreat detection system600/cuing sensor is important to the effectiveness of theprotection apparatus100, and the parameters of thethreat detection system600/cuing sensor are defined, at least in part, by the type ofthreat75 and anintercept distance125 from theplatform50 that thethreat75 is intercepted. That is, thethreat75 must be intercepted at a distance of at least theintercept distance125 from theplatform50, as shown inFIG. 1, in order for the desired level of protection to be provided. Theintercept distance125 may be determined from a variety of factors such as, for example, the sensitivity of thethreat detection system600/cuing sensor, the time necessary to actuate thelaunching device500 and to launch theprotection apparatus100, the time required to deploy the first deployable device300 (as further discussed herein) from theprotection apparatus100, the acceleration and intercept speed of theprotection apparatus100, the nature of theplatform50 to be protected, the speed of thethreat75, and/or the launch distance of thethreat75 with respect to theplatform50. However, one skilled in the art will readily appreciate that many other factors may determine anappropriate intercept distance125. Various embodiments of thethreat detection system600/cuing sensor/controller device/launching device500 implemented in the present invention are disclosed, for example, in U.S. patent application Ser. No. 10/787,843, filed Feb. 26, 2004, and Ser. No. 11/225,814, filed Sep. 13, 2005, both entitled Active Protection Device and Associated Apparatus, System, and Method and assigned to Chang Industry (the assignee of the present invention), both of which are hereby incorporated herein in their entirety by reference.
Embodiments of theprotection apparatus100 are particularly configured to protect theplatform50 against anincoming threat75, wherein such athreat75 may be, for instance, a chemical energy (CE) type such as a rocket-propelled grenade (“RPG”), a kinetic energy (KE) type threat, or any other type ofthreat75 which may be addressed and intercepted by aprotection apparatus100 as described herein or extensions or variants thereof within the spirit and scope of the present invention. Still further, the term “platform” as used herein is intended to be entirely nonrestrictive and may include, for example, an airborne vehicle such as a helicopter, an airplane (commercial, civilian, or military), an unmanned drone, or the like. However, theplatform50 does not necessarily need to be a “vehicle,” but may also comprise, for example, an orbiting satellite.
In one embodiment, theprotection apparatus100 is configured as an aerodynamic missile-like interceptor device, as shown inFIGS. 3 and 4, wherein theprotection apparatus100 generally includes aprojectile housing250 having a leadingportion200 and a trailingportion225, a firstdeployable device300, and a second deployable device400 (as shown inFIGS. 7 and 8) The components of theprotection apparatus100 combine to define a protection apparatus weight Wintercept(or corresponding mass), wherein theprotection apparatus100 includes a propulsion system (not shown) for allowing theprotection apparatus100 to attain a particular intercept velocity Vinterceptupon launch. One skilled in the art will appreciate that such a propulsion system may be configured in many different manners, as appropriate, though, in one embodiment, the propulsion system is configured to be non-explosive or minimally explosive.
The firstdeployable device300 is operably engaged with and housed by theprojectile housing250, particularly about the trailingportion225 thereof. In some instances, however, the firstdeployable device300 may be housed and/or deployed from a medial portion of the projectile housing250 (see, e.g.,FIG. 4). In one embodiment, the firstdeployable device300 is configured to be deployed from the trailingportion225 of the projectile housing250 (FIGS. 4 and 5), after theprotection apparatus100 is launched from thelaunching device500 of theplatform50, so as to intercept and capture thethreat75 such that the protection apparatus weight Wintercept(or corresponding mass) is combined with the threat weight Wthreat(or corresponding mass) via the first deployable device300 (see, e.g.,FIG. 6). In such a manner, the combination of the protection apparatus and threat weights, for example, at least partially reduces the velocity, momentum, or kinetic energy of thethreat75, without causing thethreat75 to detonate or otherwise explode.
As shown inFIGS. 5-8, the firstdeployable device300 may further comprise, for example, a net-like structure or a decelerator device formed of, for instance, an aramid fiber material such as Kevlar™ brand fiber material from DuPont, a fiberglass material, a carbon fiber material, a lightweight metal or polymer material, or combinations thereof. Such a firstdeployable device300 is configured to be, for example, sufficiently strong, tear resistant, and light weight such that, when deployedprojectile housing250, spreads out radially from theprojectile housing250 to define a capture area for capturing thethreat75. In one embodiment, the firstdeployable device300 is configured to be deployed without significantly slowing the velocity Vinterceptof theprotection apparatus100. Further, if the firstdeployable device300 is a net-like structure, each net opening is configured/sized to be smaller than the maximum cross-sectional area of thethreat75 to be intercepted. In some instances, the net-like structure of the firstdeployable device300 and/or the net opening defined thereby is configured to be resilient or at least partially yielding or plastically deformable so as to reduce the “impact” experienced by thethreat75 upon capture thereof by the firstdeployable device300. The reduction in the “impact” upon capturing thethreat75 may be desirable because, in some instances, the threat fuse is a piezoelectric device configured to produce a detonation pulse to the warhead carried by thethreat75 when an impact pressure is sensed. The firstdeployable device300 and/or theprotection apparatus100 must thus be configured to dampen or otherwise minimize the apparent “impact” experienced by thethreat75 upon capture thereof. In addition, the firstdeployable device300, in one alternate embodiment, may be configured to deflect thethreat75 upon capture such that, if thethreat75 does detonate, the direction of detonation is away from theplatform50.
When deployed, the firstdeployable device300 may have many different shapes such as, for example, generally rectangular or circular. In some advantageous instances the first deployable device radially extends to have a height dimension at least as tall as theplatform50. In other advantageous instances, the firstdeployable device300 is configured to have a deployment actuator (not shown) operably engaged therewith for deploying the same from theprojectile housing250 to radially extend therefrom. In some instances, the firstdeployable device300 is configured to be deployed by the deployment actuator via a controller device (“first controller device”—not shown), wherein the controller device is configured to be responsive to the detection of thethreat75 by a first detector device or fusing sensor (not shown) carried by theprotection apparatus100 about the leadingportion200 or in the medial portion of theprojectile housing250. One skilled in the art will appreciate, however, that the firstdeployable device300 may be deployed in many different manners such as, for example, via a timing sequence or via a threat detection signal from thethreat detection system600/cuing sensor, and the implementation of a fusing sensor in embodiments of the present invention is merely exemplary of one alternate embodiment that is not intended to be limiting in any manner. Various embodiments and configurations of such a fusing sensor implemented in the present invention are disclosed, for example, in U.S. patent application Ser. No. 10/787,843, filed Feb. 26, 2004, and Ser. No. 11/225,814, filed Sep. 13, 2005, both entitled Active Protection Device and Associated Apparatus, System, and Method and assigned to Chang Industry (the assignee of the present invention), both of which are hereby incorporated herein in their entirety by reference.
One skilled in the art will further appreciate that the cuing sensor comprising the second detection device, and the fusing sensor comprising the first detection device, according to embodiments of the present invention, may each more generally comprise a range-finding apparatus configured to sense thethreat75 as well as determine a range thereof with respect to theplatform50. Accordingly, any such range-finding apparatus may comprise, for example, any one or more of a laser detection and ranging device (LADAR), a radio detection and ranging device (RADAR), and a light detection and ranging device (LIDAR), wherein such range-finding apparatuses may be configured to operate in any appropriate spectrum or at any appropriate frequency, using any appropriate signal-generating and/or signal-detecting mechanism. For example, an appropriate signal for such a range-detecting apparatus may be generated in the millimeter wave range or the microwave range, or in the infrared spectrum or the visible light spectrum, while the signal-generating mechanism may comprise a laser or a light-emitting diode (LED). Accordingly, one skilled in the art will appreciate that the examples of detection devices presented herein are not intended to be limiting in any manner.
The deployment actuator and the firstdeployable device300 are configured such that the firstdeployable device300 is relatively quickly deployed, such as on the order of milliseconds or less, once notified by the first controller device of the detection of thethreat75 in proximity to theprotection apparatus100 by the fusing sensor. Further, the area of the firstdeployable device300 may be, for example, at least50 feet in width (or diameter), with a height of at least 10 feet, or as necessary to correspond to the height of theairborne platform50. However, the dimensions of the firstdeployable device300 are preferably sized such that, at a minimum deployment altitude of theprotection apparatus100/firstdeployable device300, the firstdeployable device300 will not contact the ground. For example, given the layouts of most airports, theplatform50 will generally be at least 20 feet in air before being vulnerable to attack by athreat75 and, as such, the firstdeployable device300 can be sized accordingly. However, one skilled in the art will appreciate that these examples are not intended to be limiting in any manner since the firstdeployable device300 may be appropriately sized to meet many different circumstances where anairborne platform50 is to be protected from athreat75.
Preferably, the deployment actuator is configured to be non-explosive with respect to the manner in which the firstdeployable device300 is deployed from theprojectile housing250. For example, the deployment actuator may be configured to operate via a pressurized fluid or compressed gas, such as air, nitrogen, or other appropriate gas or fluid. One skilled in the art will appreciate, however, that the deployment actuator can be configured in many different manners such as, for example, to use a mild explosive or a mechanical device for deploying the firstdeployable device300. In some instances, the firstdeployable device300 includes, for example, weighted members325 (see, e.g.,FIGS. 4-8) disposed about the perimeter thereof that are deployed by the deployment actuator to facilitate the radial spread of the firstdeployable device300. The perimeter portion of the firstdeployable device300 may also be configured to capture thethreat75 and/or deflect thethreat75 from the trajectory toward theplatform50. As discussed, the firstdeployable device300, the weight (mass) of theprotection apparatus100, and/or the velocity of theprotection apparatus100 are preferably configured such that, upon capture and/or deflection of thethreat75 thereby, thethreat75 is not detonated or otherwise caused to explode. In this manner, the explosive threat to theplatform50 is reduced or minimized if thethreat75 is captured in relatively close proximity to theplatform50, and the risk or injury/damage to persons and/or property on the ground is also reduced.
To reiterate, theprotection apparatus100 launched from theairborne platform50 has a weight Wintercept(mass) and a velocity of Vintercept. After the deployed firstdeployable device300 has captured thethreat75, the combined weight Wthreat+Wintercept(mass) will have a smaller velocity toward theairborne platform50 due to the reduction in the momentum or kinetic energy of thethreat75 caused by the interaction with theprotection apparatus100 via the firstdeployable device300. That is, when thethreat75 is captured by the firstdeployable device300, the weight thereof will be combined such that the combined momentum in the direction of theairborne platform50 will be:
Vcombined={(Wthreat×Vthreat)−(Wintercept×Vintercept)}/(Wthreat+Wintercept)
As a result, Vcombinedwill be lesser than Vthreat. However, the decrease in the velocity Vthreatof thethreat75 may not be sufficient to prevent thethreat75 from impacting theairborne platform50. As such, embodiments of the present invention further comprise a seconddeployable device400 operably engaged with theprotection apparatus100. As shown inFIGS. 7 and 8, the seconddeployable device400 may comprise, for example, a parachute-type device or a decelerator device housed by the leadingportion200 of theprojectile housing250, and formed of, for instance, an aramid fiber material such as Kevlar™ brand fiber material from DuPont, a fiberglass material, a carbon fiber material, a lightweight metal or polymer material, or combinations thereof. Such a seconddeployable device400 is configured to be, for example, sufficiently strong, tear resistant, and light weight such that, when deployed from theprojectile housing250, the seconddeployable device400 spreads out radially from theprojectile housing250 for decelerating, slowing, and/or altering the trajectory of thethreat75. In some instances, however, the seconddeployable device400 may be housed and/or deployed from a medial portion of theprojectile housing250.
Theprotection apparatus100 is configured such that commensurately with or soon after thethreat75 is captured by the firstdeployable device300, the seconddeployable device400 is deployed by a deployment actuator (not shown) operably engaged therewith, in some instances, via the first controller device that may also be operably engaged therebetween. In other instances, the deployment actuator and/or the first controller device may be configured to be responsive to the impact between the firstdeployable device300 and thethreat75, via an appropriate detection mechanism (not shown) such as, for example, an accelerometer or any other suitable mechanical, electrical, or electromechanical device, to deploy the seconddeployable device400 as thethreat75 is captured. When deployed, the seconddeployable device400 may have many different shapes such as, for example, generally rectangular or circular. The deployed seconddeployable device400 thereby acts to decelerate and/or alter the trajectory of the combined weights of theprotection apparatus100 and thethreat75. Preferably, the deployment actuator for deploying the seconddeployable device400 is configured to be non-explosive with respect to the manner in which the seconddeployable device400 is deployed from theprojectile housing250. For example, the deployment actuator may be configured to operate via a pressurized fluid or compressed gas, such as air, nitrogen, or other appropriate gas or fluid. One skilled in the art will appreciate, however, that the deployment actuator can be configured in many different manners such as, for example, to use a mild explosive or a mechanical device for deploying the seconddeployable device400.
According to various embodiments of the present invention, theprotection apparatus100 also includes various componentry275 (FIGS. 4-7) disposed within theprojectile housing250 for providing the functionality disclosed herein. For instance, thecomponentry275 may include the deployment actuator(s) for the first and seconddeployable devices300,400, the first controller device, the first detection device (fusing sensor), a power supply (i.e., a charged capacitor power supply) for powering any or all of the devices included in thecomponentry275, and a safing and arming device (not shown). The safing and arming device is a mechanism configured to prevent an unintentional or otherwise faulty launch of theprotection apparatus100, the firstdeployable device300, and/or the seconddeployable device400. For example, the safing and arming device may be controlled by an operator of theplatform50 so as to arm (allow operation) of theprotection apparatus100 upon takeoff and to safe (disallow operation) theprotection apparatus100 upon landing. In some instances, the safing and arming device may be further configured to allow the first and seconddeployable devices300,400 to function only upon launch of theprotection apparatus100 from theplatform50.
According to embodiments of the present invention, the time required for thethreat75, captured by the firstdeployable device300, to reach the original position of theplatform50 is D/Vcombined, where D is theintercept distance125. However, during this time, theairborne platform50 is continuing to move at a forward velocity Vplatformand, thus, will proceed from the original position by a distance d=Vplatform×(D/Vcombined), where the distance d is indicated by the numeral175 inFIG. 1.
In one exemplary scenario, athreat75 may comprise a rocket-propelled grenade (RPG), where such an RPG may have a weight Wthreatof about 5 lbs, and typically has a velocity Vthreatof about 700 ft/sec. Once launched from theplatform50, aprotection apparatus100 according to embodiments of the present invention may have a weight Winterceptof, for example, about 5 lbs, and a velocity Vinterceptof about 500 ft/sec. Once captured by the firstdeployable device300, the velocity Vcombinedof the combined protection apparatus and threat weights (10 lbs) toward theairborne platform50 will be about 100 ft/sec. If a suitable intercept distance D for theprotection apparatus100 to capture thethreat75 is determined to be about 50 ft from theairborne platform50, the combined protection apparatus and threat weights will take about 0.5 sec to traverse the 50 ft intercept distance D. During this 0.5 sec, theairborne platform50, presuming a velocity Vplatformof 150 mph or 220 ft/sec (a Boeing 737 taking off has a speed of about 150 mph at an altitude of about 50 feet), will have traveled a distance of about 110 feet along its flight path (which may be presumed, in some instances, to be generally perpendicular to the trajectory of the threat75) from its original position where it would have originally been impacted by thethreat75.
However, the firstdeployable device300 capturing thethreat75 may not be sufficient in itself to slow down some threats, such as a high-speed shoulder-launched optically-or radar-guided missile, to allow theplatform50 to escape. A typical optically-guided missile may weigh, for example, about 10 lbs and have a velocity of about 2,500 ft/sec. As a result, the seconddeployable device400 is important for reducing the velocity of thethreat75 as soon as possible after thethreat75 is captured by the firstdeployable device300.
Various exemplary scenarios addressed by embodiments of the present invention are provided below in Table
1:
| TABLE 1 |
|
|
| | | Scenario I: | Scenario II: | |
| | | RPG threat; | RPG threat; | Scenario III: |
| | | Protection | Protection | High speed guided |
| | | apparatus | apparatus | missile threat; |
| | | without second | with second | Protection apparatus |
| | | deployable | deployable | with second |
| Parameters | Description | Unit | device | device | deployable device |
|
|
| Hypothetical | Wthreat | lb | 5 | 5 | 10 |
| Numbers | Vthreat | Ft/sec | 700 | 700 | 2500 |
| Wintercept | lb | 5 | 5 | 5 |
| Vintercept | Ft/sec | 500 | 500 | 500 |
| Vplatform | mph | 150 | 150 | 300 |
| Calculated | Diameter of second | ft | 0 (No | 6 | 6 |
| Results | deployable device | | second |
| | | deployable |
| | | device) |
| Intercept distance fromplatform | ft | | 50 | 50 | 50 |
| Time for threat to reach | sec | 0.5 | 105 | 1.15 |
| airplane after capture by first |
| deployable device |
| Platform displacement from | Ft | 110 | 2233 | 506 |
| original position |
|
Notes:
|
The above calculations are based on the air density of 0.077 lb/ft3and drag coefficient of 1.2.
|
Many modifications and other embodiments of the invention set forth herein will come to mind to one skilled in the art to which this invention pertain having the benefit of the teachings presented in the foregoing description and the associated drawings. Therefore, it is to be understood that the invention is not to be limited to the specific embodiments disclosed and that modifications and other embodiments are intended to be included within the scope of the appended claims. Although specific terms are employed herein, they are used in a generic and descriptive sense only and not for purposes of limitation.