US3647160A - Method and apparatus for reducing sonic booms - Google Patents
Method and apparatus for reducing sonic booms Download PDFInfo
- Publication number
- US3647160A US3647160A US761592A US3647160DA US3647160A US 3647160 A US3647160 A US 3647160A US 761592 A US761592 A US 761592A US 3647160D A US3647160D A US 3647160DA US 3647160 A US3647160 A US 3647160A
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- G—PHYSICS
- G10—MUSICAL INSTRUMENTS; ACOUSTICS
- G10K—SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
- G10K11/00—Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
- G10K11/16—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
Definitions
- the present invention relates to aerodynamic structures and in'particular to methods and apparatus for reducing sonic booms due to the motion of objects through the atmosphere at speeds greater than the speed of sound.
- supersonic aircraft and missiles can move in the atmosphere at speeds greater than the speed of sound.
- these conventional objects or vehicles have some sort of airfoil structure or wing extending outside for the production of lift to balance their gravitational attraction towards earth.
- these aerodynamic structures move at speeds greater than the speed of sound in the surrounding fluid, local increases in pressure are developed as a result of the airflow beneath the lifting surface, leading to the formation of shock waves which produce an aerodynamic sonic boom at ground level.
- shock waves created by these sonic booms are very annoying to humans and animals, and can cause substantial physical damage, particularly when they occur in residential or industrial areas.
- the present invention provides an improved method for reducing sonic booms created by objects moving in fluids at speeds greater than the speed of sound.
- the supersonic object usually has a primary lifting surface extending therefrom, and in travelling at supersonic speeds this surface or wing causes increases in local pressures leading to the formation of shock waves and therefore audible sonic booms at all altitudes from the object to the ground.
- the method of the present invention includes the step of diverting the airflow from its direction of v motion induced by the conventional primary wing to produce anexpansion wave in the immediate vicinity of the compression' or shock wave of the primary surface which interacts with this shock wave and causes it to be attenuated rapidly and become tolerable at ground level.
- the method includes the modification of the conventional lifting surface-geometry to produce an expansion wave in the immediate vicinity of the shock wave emanating from the primary lifting surface.
- the method further comprehends the provision of a modified primary airfoil having a lower surface causing a plurality of expansion and shock waves to be produced for interaction whereby the shock waves are attenuated to render them tolerable at ground level.
- the invention comprehends a conventional aerodynamic structure such as a supersonic aircraft having a primary airfoil, the airflow beneath the primary airfoil assuming a parallel relationship therewith and causing an increase in local pressures leading to the formation of shock waves and thereby sonic booms.
- the aerodynamic structure includes an ordinary airfoil mounted thereto; below, and in a nonparallel relationship with the primary airfoil an auxiliary surface is properly arranged for diverting the airflow from a parallel relationship with the primary airfoil, to produce an expansion wave at or close to the leading edge of the auxiliary surface which will interact with the shock wave a short distance below the auxiliary airfoil thereby rendering the shock wave and sonic boom less severe at ground level.
- the auxiliary surface may comprise a series of spaced-apart surfaces for producing a series of expansion waves for attenuating the principal shock wave as well as the shock waves produced from the auxiliary surfaces.
- the aforementioned modified aerodynamic structure may be employed as the primary airfoil.
- FIG. 1 is a diagrammatic illustration of a supersonic aircraft embodying the present invention
- FIG. 2 is a diagrammatic illustration of a conventional wing in the form of a flat plate showing the relationship of the fluid source disturbance or shock wave resulting from an object travelling at supersonic speed;
- FIG. 3 is a diagrammatic illustration showing the relationship of the shock wave and an expansion wave and the point of interaction relative to the wing-leading edge.
- FIG. 4 is a diagrammatic illustration of an airfoil structure in the form of a flat plate illustrating the relationship and the point of coincidence of the shock wave and the expansion wave in the manner of FIG. 3;
- FIG. 5 is a diagrammatic illustration of a lifting system in the form of flat plates showing the relationship of the conventional wing and the auxiliary surface embodying the invention and the resulting relationship of the shock and expansion waves and their point of interaction;
- FIG. 6 is a diagrammatic illustration of the lifting system in accordance with the present invention illustrating the relative slopes of the primary and auxiliary surface relative to a characteristic line;
- FIG. 7 is a diagrammatic illustration of the primary and auxiliary surfaces in accordance with the present invention showing a modified auxiliary surface and the resulting wave interactions.
- FIG. 8 is a diagrammatic illustration of another embodiment of the invention.
- FIG. 9 is a diagrammatic representation of the signature for the embodiment of FIG. 3;
- FIG. 10 is a diagrammatic illustration of the shock and expansion waves for a conventional aircraft constructed in accordance with the embodiment of FIG. 8;
- FIG. 11 is still another embodiment of the concept of FIG. 8.
- the present invention will be described as it may be embodied in a supersonic aircraft.
- the aircraft is illustrated in FIG. 1 as a conventional supersonic aircraft 10. It should be understood that the only portion of the supersonic structure 10 that need be considered is the lifting and auxiliary surface geometry.
- the wing structure 11 may be of conventional design for operating at supersonic speeds. Accordingly, the shape of this surface 11 may be in accordance with conventional design.
- the aerodynamic object or aircraft 10 is provided with an auxiliary surface 12 mounted below the primary wing 11 in the fashion of a biplane.
- the auxiliary surface 12 is arranged and oriented relative to the primary wing to produce an expansion wave which interacts with the shock wave produced by the primary wing when the aircraft 10 is moving at supersonic speeds.
- the expansion wave created by the auxiliary airfoil 12 is developed at its lower surface 12 to interact with the shock wave from the primary wing 11 a short distance from the auxiliary surface 12 to attenuate the shock wave and thereby essentially eliminate the sonic boom for all practical purposes.
- the auxiliary surface 12 may be movably mounted to the aircraft to change its position relative to the primary airfoil 11 in accordance with presently known methods employed in supersonic aircraft design.
- the auxiliary surface I2 may be movable in accordance with the supersonic speed at which the aircraft I0 is moving to modify the point at which the expansion wave is being produced relative to the shock wave emanating from the primary airfoil or wing II.
- the direction of propagation B of a disturbance is called the characteristic direction and is determined only by the local Mach numberM.
- Expansive disturbances such as that at the upper surface of the flat plate (A-FG in FIG. 2) tend to fan out and create a region in which the pressure decreases gradually, thus their presence is signalled along the characteristic direction 3, to the local flow vector.
- the properties all change when the fluid crosses a shock wave (AC) or a characteristic (AF), of an expansion fan.
- a shock wave change in a manner that causes the next expansion wave to have a leading characteristic which is at an angle (B a), which is larger than 0, when measured from the direction of motion.
- B a an angle
- I1 is then the vertical distance from the leading edge of the airfoil to the coincident point of the two waves.
- L is the length or chord of the airfoil AB; See FIG. 4.
- L is the physical distance between leading and trailing edges of the plate, and cannot be arbitrarily reduced without a corresponding reduction of lift, which must necessarily be maintained equal to the weight of the aircraft.
- L is the distance between the point of origin of the shock wave and the point of origin of the expansion fan.
- the separation L of the shock wave and expansion fan can be reduced by the introduction of an auxiliary surface M-N, as shown in FIG. 5.
- the auxiliary surface MN is located and oriented in a manner such that its leading edge produces an expansion fan at its lower surface, which interacts and attenuates the shock wave AC from the primary airfoil.
- the distance between M and P, P being the point on the shock wave just in front of M, can now be reduced to a small value, by placing the auxiliary airfoil M-N in the location as shown in FIG. 5. Since the shock wave will have a slope which varies with flight Mach number and angle of attack it may be desirable to provide some method of adjustment for the location of the auxiliary surface M-N. However, since most of the flight path of supersonic aircraft will occur at cruising Mach number it may be feasible to design the auxiliary surface as a fixed surface for optimum performance at cruising speeds only.
- the expansion waves which occur behind the shock waves are in general derived from curved surfaces which gradually change slope from that of the leading edge towards a zero slope, parallel to the free stream direction. Expansions which are stretched out as compared to a point expansion, can always be shown to produce less rapid shock attenuation than a point expansion of the same strength, if the point expansion originates sufficiently close to the shock wave origin. For this reason it can be said that the use of an auxiliary airfoil of the type previously discussed will always produce large reductions in the shock intensity (A p) compared to the shock intensity resulting from a single airfoil of practical shape.
- the auxiliary airfoil MN of FIG. 5 will always have its lower surface of lower slope than the slope of the lower surface of the primary airfoil AB, at the point on the same characteristic as the leading edge of the auxiliary airfoil M N; See FIG. 6. This will insure the presence of an expansion wave at the leading edge of the auxiliary airfoil MN as required to produce the rapid shock attenuation. To avoid difficulties of separation encountered at sharp expansion points, it may be necessary to provide a more gradual curvature at the expansion point of the auxiliary airfoil as shown in FIG. 7.
- the upper surface of the auxiliary surface must be designed in a manner which prevents the introduction of undesirable forces such as negative lift or high drag or undesirable shock waves which might interfere with other components of the aircraft.
- the concept of the present invention can also be implemented through the provision of an aerodynamic structure constructed and defined to produce a series of expansion waves at its lower surface.
- the generation of the expansion waves is accompanied by the generation of shock waves from such a surface and the expansion waves are generated to attenuate a leading shock wave from an adjacent surface.
- Such an airfoil structure may be added to a conventional supersonic aircraft or may be employed as the primary wing for the aircraft.
- the implementation of this method and apparatus is disclosed in conjunction with FIGS. 8-l 1.
- the shock waves produced at the leading edge of an airfoil is attenuated by the expansion wave produced at a point spaced from but adjacent the leading edge of the same airfoil; See FIG. 8.
- the series of airfoils 1, 2, 3 and 4 are arranged on the aircraft 10 so that each of them is at the angle of attack of an (alpha) and the sum of their chords equals C. They are further illustrated by the trailing edge of one airfoil being in alignment with the leading edge of the next following airfoil.
- This series of airfoils can be employed as the primary wing for a conventional supersonic aircraft in which case the elemental airfoils are shaped and oriented relative to the vehicle proper to have the proper lift and aerodynamic properties alternatively, the conventional supersonic aircraft 10 can be modified through the substitution of the aforementioned series of airfoils shown in FIG. 8 for the auxiliary surface 12 of FIG. I.
- the primary shock wave produced by the primary airfoil will interact with the expansion wave produced at the leading airfoil or airfoil l in FIG. 8. The interaction of the shock and expansion waves for such a configuration is best appreciated from examining FIG. 10.
- FIG. 11 A configuration which shows the same advantage in reducing the sonic boom but provides a more practical structural design configuration is shown in FIG. 11.
- the lifting surface is comprised of a single rigid unit while still retaining the advantage of the series of airfoils of FIG. 8 for producing closely spaced shock waves and expansion waves to produce lower shock wave intensities and therefore less sonic boom annoyance at the ground.
- the present invention has advanced the state of the aircraft art through the methods and apparatus for reducing sonic booms by the simple structures for diverting airflow to produce an expansion wave for interacting with the shock wave.
- I 55 providing an auxiliary airfoil below the primary surface having a lower surface of a lower slope than the slope of the lower surface of the primary surface
- auxiliary airfoil positioning the auxiliary airfoil so that it does not interfere with the travel of the shock wave towards the ground, and causing the auxiliary airfoil to divert the airflow from adjacent the primary airfoil to produce an expansion wave traveling towards the ground for interacting with the shock wave in its unimpeded travel toward the ground at a distance spaced from the moving object and thereby cause it to be attenuated.
- an auxiliary surface mounted below the primary wing in a nonparallel relationship and having a lower surface of lower slope than the slope of the lower surface of the primary wing for diverting the airflow from a parallel rela tionship with said primary wing surface and positioned to produce an expansion wave traveling towards the ground at or close to its leading edge that will interact with the shock wave a short distance'below the auxiliary surface while permitting the shock wave to proceed toward the ground without interference by a solid surface.
- auxiliary surface is movably secured to the structure for changing the position of the leading edge relative to the shock waves.
- auxiliary surface is arranged partially underneath the primary wing and extending rearwardly thereof, the auxiliary surface being oriented so that its leading edge produces an expansion wave at its lower surface for attenuating the shock wave produced at the primary wing, the interaction being produced in a short distance from the vehicle thereby rendering it tolerable at ground level.
- auxiliary surface has a slope lower than the primary wing for insuring the production of the expansion wave at or near the leading edge of the auxiliary surface thereby producing rapid shock attenuation.
- auxiliary surface comprises a plurality of spaced-apart auxiliary surfaces arranged on the vehicle in serial fashion for diverting the airflow from a parallel relationship with the said wing surface to produce an expansion wave at a predetermined distance from its leading edge, and a shock wave adjacent the leading edge, the arrangement of said auxiliary surfaces being such that the leading auxiliary surface produces an expansion wave that will interact with the shock wave a short distance below the auxiliary surface and the successive auxiliary surfaces produce an expansion wave that will interact with any shock wave produced at the trailing edge of said auxiliary surface.
- an aerodynamic vehicle capable of traveling at speeds greater than the speed of sound including a wing comprising a plurality of spaced-apart airfoils mounted to the vehicle in serial chordwise fashion for diverting the airflow positioned to produce an expansion wave spaced adjacent to the leading edge of each of said surfaces and traveling towards the ground, the arrangement of said surfaces being further characterized by the formation of shock waves at or adjacent their leading edges and traveling towards the ground whereby the shock wave produced at a leading edge is permitted to travel toward the ground without interference by a solid surface until it interacts with the expansion wave from the said surfaces a short distance below said surfaces and in its travel towards the ground thereby rendering the shock wave tolerable at ground level.
- an aerodynamic vehicle capable of traveling at speeds greater than the speed of sound
- a wing of unitary construction having a lower surface constructed and defined with a series of surfaces positioned for producing expansion waves for diverting the airflow to produce an expansion wave spaced adjacent to the leading edge of each of said surfaces and traveling towards the ground
- the arrangement of said surfaces being further characterized by the formation of shock waves at or adacent their leading edges and traveling toward the ground whereby the shock wave produced at a leading edge is permitted to travel toward the ground without interference by a solid surface until it interacts with the expansionwave from the said surfaces a short distance below said surfaces and in its travel toward the ground thereby rendering the shock wave tolerable at ground level.
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- Aerodynamic Tests, Hydrodynamic Tests, Wind Tunnels, And Water Tanks (AREA)
Abstract
Description
Claims (8)
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US76159268A | 1968-09-23 | 1968-09-23 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| US3647160A true US3647160A (en) | 1972-03-07 |
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ID=25062685
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| US761592A Expired - Lifetime US3647160A (en) | 1968-09-23 | 1968-09-23 | Method and apparatus for reducing sonic booms |
Country Status (1)
| Country | Link |
|---|---|
| US (1) | US3647160A (en) |
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5217349A (en) * | 1989-08-31 | 1993-06-08 | Technology Integration Incorporated | System and method for suppressing noise produced by rotors |
| WO2003064254A3 (en) * | 2002-01-30 | 2004-02-05 | Gulfstream Aerospace Corp | Fuselage shaping and inclusion of spike on a supersonic aircraft for controlling and reducing sonic boom |
| US6698684B1 (en) | 2002-01-30 | 2004-03-02 | Gulfstream Aerospace Corporation | Supersonic aircraft with spike for controlling and reducing sonic boom |
| US20060038063A1 (en) * | 2004-08-18 | 2006-02-23 | Northrop Grumman Corporation | Shaped sonic boom aircraft |
| US20060157613A1 (en) * | 2005-01-19 | 2006-07-20 | Adamson Eric E | Supersonic aircraft with active lift distribution control for reducing sonic boom |
| US20080271787A1 (en) * | 2005-12-15 | 2008-11-06 | Henne Preston A | Isentropic compression inlet for supersonic aircraft |
| RU2341832C1 (en) * | 2007-05-07 | 2008-12-20 | Институт теоретической и прикладной механики им. С.А. Христиановича СО РАН (ИТПМ СО РАН) | Method of decreasing sound impact |
| JP2009012686A (en) * | 2007-07-06 | 2009-01-22 | Japan Aerospace Exploration Agency | Supersonic aircraft shape for reducing rear-end sonic boom |
| US20090107557A1 (en) * | 2007-10-24 | 2009-04-30 | Conners Timothy R | Low shock strength inlet |
| US20110133021A1 (en) * | 2009-09-29 | 2011-06-09 | Hypermach Aerospace Industries Incorporated | Supersonic aircraft with shockwave canceling aerodynamic configuration |
| US10232937B2 (en) * | 2012-12-07 | 2019-03-19 | Hypermach Aerospace Industries, Inc. | Hypersonic aircraft |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US2584198A (en) * | 1948-09-07 | 1952-02-05 | Rolls Royce | Supersonic aircraft and wing structure therefor |
| US2916230A (en) * | 1948-01-14 | 1959-12-08 | Gen Electric | Supersonic airfoil |
| US3314629A (en) * | 1964-12-07 | 1967-04-18 | Scott C Rethorst | Shockless supersonic aircraft |
| US3391884A (en) * | 1965-11-12 | 1968-07-09 | Thomas P. Carhartt | Shock wave deflector |
-
1968
- 1968-09-23 US US761592A patent/US3647160A/en not_active Expired - Lifetime
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US2916230A (en) * | 1948-01-14 | 1959-12-08 | Gen Electric | Supersonic airfoil |
| US2584198A (en) * | 1948-09-07 | 1952-02-05 | Rolls Royce | Supersonic aircraft and wing structure therefor |
| US3314629A (en) * | 1964-12-07 | 1967-04-18 | Scott C Rethorst | Shockless supersonic aircraft |
| US3391884A (en) * | 1965-11-12 | 1968-07-09 | Thomas P. Carhartt | Shock wave deflector |
Non-Patent Citations (2)
| Title |
|---|
| H. L. Runyan and H. R. Henderson; Evaluation of Certain Minimum Boom Concepts Published in Proceedings of Second Conference on Sonic Boom Research edited by D. R. Schwartz; NASA SP-180; Washington, D. C., May 9 10, 1968; pp. 47 51 * |
| Moeckel, W. E.; Theoretical Aerodynamics Coefficients of Two Dimensional Supersonic Biplanes; NACA Technical Note No. 1316; June 1947 * |
Cited By (27)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5217349A (en) * | 1989-08-31 | 1993-06-08 | Technology Integration Incorporated | System and method for suppressing noise produced by rotors |
| EP2110312A2 (en) | 2002-01-30 | 2009-10-21 | Gulfstream Aerospace Corporation | Fuselage shaping and inclusion of spike on a supersonic aircraft for controlling and reducing sonic boom |
| WO2003064254A3 (en) * | 2002-01-30 | 2004-02-05 | Gulfstream Aerospace Corp | Fuselage shaping and inclusion of spike on a supersonic aircraft for controlling and reducing sonic boom |
| US6698684B1 (en) | 2002-01-30 | 2004-03-02 | Gulfstream Aerospace Corporation | Supersonic aircraft with spike for controlling and reducing sonic boom |
| US8083171B2 (en) | 2002-01-30 | 2011-12-27 | Gulfstream Aerospace Corporation | Supersonic aircraft for reducing sonic boom effects at ground level |
| US8789789B2 (en) | 2002-01-30 | 2014-07-29 | Gulfstream Aerospace Corporation | Supersonic aircraft with spike for controlling and reducing sonic boom |
| US20100012777A1 (en) * | 2002-01-30 | 2010-01-21 | Henne Preston A | Supersonic Aircraft with Spike for Controlling and Reducing Sonic Boom |
| WO2006023392A3 (en) * | 2004-08-18 | 2006-06-01 | Northrop Grumman Corp | Shaped sonic boom aircraft |
| US20060038063A1 (en) * | 2004-08-18 | 2006-02-23 | Northrop Grumman Corporation | Shaped sonic boom aircraft |
| US20060157613A1 (en) * | 2005-01-19 | 2006-07-20 | Adamson Eric E | Supersonic aircraft with active lift distribution control for reducing sonic boom |
| US9482155B2 (en) | 2005-12-15 | 2016-11-01 | Gulfstream Aerospace Corporation | Isentropic compression inlet for supersonic aircraft |
| US20080271787A1 (en) * | 2005-12-15 | 2008-11-06 | Henne Preston A | Isentropic compression inlet for supersonic aircraft |
| US9334801B2 (en) | 2005-12-15 | 2016-05-10 | Gulfstream Aerospace Corporation | Supersonic aircraft jet engine installation |
| US8286434B2 (en) | 2005-12-15 | 2012-10-16 | Gulfstream Aerospace Corporation | Isentropic compression inlet for supersonic aircraft |
| US8327645B2 (en) | 2005-12-15 | 2012-12-11 | Gulfstream Aerospace Corporation | Isentropic compression inlet for supersonic aircraft |
| US8333076B2 (en) | 2005-12-15 | 2012-12-18 | Gulfstream Aerospace Corporation | Isentropic compression inlet for supersonic aircraft |
| RU2341832C1 (en) * | 2007-05-07 | 2008-12-20 | Институт теоретической и прикладной механики им. С.А. Христиановича СО РАН (ИТПМ СО РАН) | Method of decreasing sound impact |
| JP2009012686A (en) * | 2007-07-06 | 2009-01-22 | Japan Aerospace Exploration Agency | Supersonic aircraft shape for reducing rear-end sonic boom |
| US20100043389A1 (en) * | 2007-10-24 | 2010-02-25 | Gulfstream Aerospace Corporation | Low shock strength propulsion system |
| US8739514B2 (en) | 2007-10-24 | 2014-06-03 | Gulfstream Aerospace Corporation | Low shock strength propulsion system |
| US8783039B2 (en) | 2007-10-24 | 2014-07-22 | Gulfstream Aerospace Corporation | Low shock strength propulsion system |
| US8393158B2 (en) | 2007-10-24 | 2013-03-12 | Gulfstream Aerospace Corporation | Low shock strength inlet |
| US9027583B2 (en) | 2007-10-24 | 2015-05-12 | Gulfstream Aerospace Corporation | Low shock strength inlet |
| US20090107557A1 (en) * | 2007-10-24 | 2009-04-30 | Conners Timothy R | Low shock strength inlet |
| US8453961B2 (en) * | 2009-09-29 | 2013-06-04 | Richard H. Lugg | Supersonic aircraft with shockwave canceling aerodynamic configuration |
| US20110133021A1 (en) * | 2009-09-29 | 2011-06-09 | Hypermach Aerospace Industries Incorporated | Supersonic aircraft with shockwave canceling aerodynamic configuration |
| US10232937B2 (en) * | 2012-12-07 | 2019-03-19 | Hypermach Aerospace Industries, Inc. | Hypersonic aircraft |
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Owner name: ALPERIN, ELAYNE P., STATELESS Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:ALPERIN, ELAYNE P., EXECUTRIX OF THE ESTATE OF MORTON ALPERIN, DECEASED;REEL/FRAME:004715/0076 Effective date: 19870127 Owner name: ALPERIN, ELAYNE P. Free format text: ASSIGNMENT OF ASSIGNORS INTEREST.;ASSIGNOR:ALPERIN, ELAYNE P., EXECUTRIX OF THE ESTATE OF MORTON ALPERIN, DECEASED;REEL/FRAME:004715/0076 Effective date: 19870127 Owner name: ALPERIN, ELAYNE P., STATELESS Free format text: LETTERS OF TESTAMENTARY;ASSIGNOR:ALPERIN, MORTON, DEC'D;REEL/FRAME:004715/0078 Effective date: 19860131 Owner name: ALPERIN, ELAYNE P. Free format text: LETTERS OF TESTAMENTARY;ASSIGNOR:ALPERIN, MORTON, DEC'D;REEL/FRAME:004715/0078 Effective date: 19860131 |