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Study Guide: Hypersonic Aerodynamics and Flight Regimes

Cheat Sheet:
Hypersonic Aerodynamics and Flight Regimes Study Guide

Defining Hypersonic Speed and Regimes

In the field of aerodynamics, hypersonic speed is definitively defined as any speed exceeding Mach 10.

Answer: False

Explanation: While 'high' hypersonic speeds are often cited as Mach 10 to Mach 25, the general threshold for hypersonic flight is considered to be Mach 5. The precise definition is subject to nuance and context, rather than a single, definitive Mach 10 boundary.

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In aerodynamics, the boundary between supersonic and hypersonic speeds is marked by a sharp, universally agreed-upon Mach number threshold.

Answer: False

Explanation: The transition from supersonic to hypersonic flight is not marked by a single, universally agreed-upon Mach number. Factors such as real gas effects and molecular dissociation become significant around Mach 5 to Mach 10, leading to a more gradual and context-dependent definition.

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NASA defines 'high' hypersonic speeds as any Mach number between 5 and 10.

Answer: False

Explanation: NASA defines 'high' hypersonic speeds as the range between Mach 10 and Mach 25. Speeds above Mach 25 are categorized as re-entry speeds.

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According to the provided text, what is the generally accepted minimum Mach number for defining hypersonic speed?

Answer: Mach 5

Explanation: The generally accepted minimum Mach number for defining hypersonic speed in aerodynamics is Mach 5, although this threshold can vary depending on specific contexts and the onset of real gas effects.

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Which factor contributes to the variability in defining the precise Mach number for hypersonic speed?

Answer: The onset of significant molecular dissociation and ionization effects in the airflow.

Explanation: The precise Mach number threshold for hypersonic flight is variable because significant physical changes in the airflow, such as molecular dissociation and ionization, occur at different speeds, collectively becoming pronounced around Mach 5 to Mach 10.

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How can hypersonic flow be alternatively defined based on energy conversion?

Answer: When the specific heat capacity changes with temperature due to kinetic energy conversion to heat.

Explanation: Hypersonic flow can also be characterized by the significant conversion of kinetic energy into heat, leading to changes in the specific heat capacity of the flow as temperature increases.

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According to NASA's definitions provided in the text, what Mach range constitutes 'high' hypersonic speeds?

Answer: Mach 10 to Mach 25

Explanation: According to NASA's definitions, 'high' hypersonic speeds are designated as the Mach number range from 10 to 25.

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Aerodynamic Characteristics of Hypersonic Flow

Hypersonic flow can be defined by the change in specific heat capacity of the flow as kinetic energy is converted into heat.

Answer: True

Explanation: The conversion of kinetic energy into thermal energy at hypersonic speeds leads to increased temperatures, which in turn alters the specific heat capacity of the gas, providing an alternative definition for this flow regime.

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A key characteristic of hypersonic flows is the formation of a distinct shock layer and significant real gas effects.

Answer: True

Explanation: Hypersonic flows are distinguished by phenomena such as the formation of a well-defined shock layer detached from the body and the manifestation of 'real gas effects' due to high temperatures and pressures.

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As a body's Mach number decreases in hypersonic flight, the distance between the bow shock and the body also decreases.

Answer: False

Explanation: As the Mach number decreases, the density behind the bow shock also decreases. To conserve mass flow, the bow shock must move further away from the body, thus increasing the distance between the shock and the body.

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An entropy layer in hypersonic flow is characterized by a smooth, uniform flow pattern that mixes benignly with the boundary layer.

Answer: False

Explanation: An entropy layer in hypersonic flow is characterized by a significant entropy gradient and a highly vortical flow structure that interacts with and mixes into the boundary layer.

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Viscous effects in hypersonic flow primarily lead to a decrease in the boundary layer thickness due to increased pressure.

Answer: False

Explanation: Viscous effects at hypersonic speeds convert kinetic energy into heat, increasing the gas temperature. This temperature rise causes the boundary layer to expand and thicken, rather than thin.

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Which of the following is NOT listed as a peculiar physical phenomenon characterizing hypersonic flows?

Answer: Negligible viscous interaction effects.

Explanation: Hypersonic flows are characterized by significant phenomena including distinct shock layers, entropy layers, and real gas effects. Viscous interaction effects are notably important and complex, not negligible.

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What happens to the distance between a bow shock and a body as the Mach number increases in hypersonic flow?

Answer: The distance decreases due to increased air density behind the shock.

Explanation: As the Mach number increases, the density of the air behind the bow shock rises. This increased density, coupled with mass conservation principles, leads to a reduction in the standoff distance between the bow shock and the body.

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An entropy layer in hypersonic flow is associated with:

Answer: A strong entropy gradient and vortical flow mixing with the boundary layer.

Explanation: An entropy layer in hypersonic flow is defined by a significant gradient in entropy, leading to a vortical flow structure that subsequently mixes with the boundary layer.

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How does viscous interaction impact the boundary layer in hypersonic flow?

Answer: It leads to a temperature increase, causing the boundary layer to expand and thicken.

Explanation: Viscous interaction in hypersonic flow converts kinetic energy into thermal energy, increasing the boundary layer temperature. This thermal expansion causes the boundary layer to thicken, potentially merging with the shock wave.

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High-Temperature Gas Physics

High temperatures in hypersonic flow can cause non-equilibrium chemical reactions, such as the dissociation and ionization of molecules.

Answer: True

Explanation: The extreme temperatures encountered in hypersonic flight can energize gas molecules sufficiently to break chemical bonds (dissociation) and strip electrons (ionization), leading to non-equilibrium chemical reactions.

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Describing the state of a gas in non-equilibrium hypersonic flow requires only a few variables, similar to describing a stationary gas.

Answer: False

Explanation: Unlike stationary or simple moving gases described by a few variables, non-equilibrium hypersonic flows are highly complex and may require tens or even hundreds of variables to accurately describe the state of the gas due to various chemical and thermal states.

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Which of the following is a consequence of high temperatures in hypersonic flow?

Answer: Non-equilibrium chemical reactions like dissociation and ionization.

Explanation: The elevated temperatures characteristic of hypersonic flow provide the energy necessary for atmospheric gases to undergo non-equilibrium chemical reactions, including dissociation and ionization.

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How does the complexity of describing gas states increase significantly in non-equilibrium hypersonic flow compared to a simple moving gas?

Answer: It can require anywhere from 10 to 100 variables to describe the gas state.

Explanation: While a simple moving gas can be described by four variables, the complex chemical and thermal states in non-equilibrium hypersonic flow necessitate a much larger set of variables, potentially ranging from 10 to 100, for accurate description.

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What phenomenon characterizes the 'dissociated gas' regime in hypersonic flow?

Answer: Gases begin to dissociate upon encountering the bow shock.

Explanation: The 'dissociated gas' regime is defined by the onset of molecular dissociation, where chemical bonds within gas molecules break due to high temperatures, typically occurring as the gas encounters the bow shock.

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The 'ionized gas' regime in hypersonic flow is distinguished by:

Answer: A significant ionized electron population, often requiring separate electron temperature modeling.

Explanation: The 'ionized gas' regime is characterized by a substantial population of free electrons, forming a plasma. This necessitates modeling the electrons' behavior and temperature distinctly from the bulk gas.

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Hypersonic Vehicle Design Principles

Standard aerodynamic approximations based on the Navier-Stokes equations are highly effective even at transonic speeds (around Mach 1).

Answer: False

Explanation: Standard aerodynamic approximations, often derived from Navier-Stokes equations, are generally effective for subsonic flows but become less reliable at transonic speeds (around Mach 1) where local supersonic regions emerge, necessitating more complex modeling.

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In the supersonic regime, calculations often simplify by neglecting heat transfer between the air and the vehicle.

Answer: True

Explanation: In the supersonic regime, where speeds are above Mach 1 but below hypersonic, calculations can often be simplified by neglecting heat transfer effects, as they are typically less dominant than at higher Mach numbers.

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Subsonic aircraft, operating below Mach 1, typically feature sharp leading edges and swept wings to manage airflow.

Answer: False

Explanation: Subsonic aircraft (below Mach 1) are generally characterized by high-aspect-ratio wings and rounded nose and leading-edge features, optimized for efficient airflow at lower speeds, unlike the sharp edges found on supersonic designs.

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Transonic aircraft (Mach 0.8-1.2) often use swept wings and supercritical airfoils to delay drag divergence and mitigate wave drag.

Answer: True

Explanation: To effectively manage airflow in the transonic regime (Mach 0.8-1.2), where flow can be both subsonic and supersonic locally, aircraft commonly employ swept wings and supercritical airfoils to delay drag divergence and reduce wave drag.

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Aircraft designed for true supersonic flight (above Mach 1.3) commonly utilize blunt noses and large wing surfaces for stability.

Answer: False

Explanation: Aircraft designed for supersonic flight (above Mach 1.3) typically feature sharp edges and thin aerofoil sections to minimize drag. Blunt noses and large wing surfaces are more characteristic of subsonic or re-entry vehicles.

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Hypersonic vehicles (Mach 5+) often require highly integrated designs where components are interdependent, and may feature small wings.

Answer: True

Explanation: Hypersonic vehicles (Mach 5 and above) often necessitate highly integrated designs due to the interdependence of components. They may also feature smaller wings compared to lower-speed aircraft, as lift generation is influenced differently by the flow.

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In the high-hypersonic regime (Mach 10-25), thermal control is a minor design factor, and structures are typically designed for low operating temperatures.

Answer: False

Explanation: In the high-hypersonic regime (Mach 10-25), thermal control is a paramount design factor. Structures must either withstand extreme operating temperatures or employ advanced thermal protection systems.

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Vehicles operating at re-entry speeds (Mach 25+) typically employ ablative heat shields and have blunt shapes.

Answer: True

Explanation: Vehicles re-entering the atmosphere at speeds exceeding Mach 25 commonly utilize ablative heat shields to dissipate extreme thermal loads and are designed with blunt shapes to manage shock wave formation and heating.

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What are typical design features of subsonic aircraft (speeds below Mach 1)?

Answer: High-aspect-ratio wings and rounded nose features.

Explanation: Subsonic aircraft, operating below Mach 1, are typically characterized by high-aspect-ratio wings and rounded nose and leading-edge features, optimized for efficient airflow at lower speeds.

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Transonic aircraft, operating between Mach 0.8 and 1.2, commonly employ which design principles?

Answer: Swept wings and supercritical airfoils, adhering to the Whitcomb area rule.

Explanation: Transonic aircraft (Mach 0.8-1.2) commonly utilize swept wings and supercritical airfoils to mitigate drag divergence and wave drag, often adhering to the Whitcomb area rule for optimized design.

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Which design feature is characteristic of vehicles specifically designed for supersonic flight (above Mach 1.3)?

Answer: Sharp edges and thin aerofoil sections.

Explanation: Vehicles designed for supersonic flight (above Mach 1.3) typically feature sharp edges and thin aerofoil sections to minimize drag and manage shock wave formation efficiently.

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For vehicles operating in the hypersonic regime (Mach 5 and above), what is a key design consideration mentioned?

Answer: Utilizing highly integrated designs where components are interdependent.

Explanation: Hypersonic vehicles (Mach 5 and above) often require highly integrated designs, where components are interdependent, due to the significant influence of airflow changes on the entire vehicle.

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What becomes a dominant design factor in the 'High-Hypersonic' regime (Mach 10-25)?

Answer: Thermal control to manage high operating temperatures.

Explanation: In the high-hypersonic regime (Mach 10-25), managing the extreme thermal loads becomes a dominant design challenge, requiring sophisticated thermal control systems and materials.

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Vehicles operating at re-entry speeds (Mach 25 and above) are typically characterized by:

Answer: Minimal wings, blunt shapes, and ablative heat shields.

Explanation: Vehicles operating at re-entry speeds (Mach 25 and above) are typically designed with minimal wings, blunt shapes, and ablative heat shields to withstand the intense aerodynamic heating and forces.

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Modeling and Analysis of Hypersonic Flows

Similarity parameters are considered unimportant for analyzing hypersonic flows because the complexity requires individual analysis of every test case.

Answer: False

Explanation: Similarity parameters are crucial for analyzing hypersonic flows, as they allow complex flow conditions to be grouped and compared, thereby simplifying the analysis and reducing the need for individual testing of every scenario.

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Mach and Reynolds numbers alone are sufficient to categorize all hypersonic flows accurately.

Answer: False

Explanation: Mach and Reynolds numbers are foundational but insufficient for accurately categorizing all hypersonic flows. Additional parameters are required due to phenomena like real gas effects and the complex behavior of shock waves at these speeds.

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Aerothermodynamics focuses solely on the aerodynamic forces acting on a vehicle, ignoring thermal effects.

Answer: False

Explanation: Aerothermodynamics is the study of hypersonic flows that explicitly incorporates thermal effects, recognizing their significant impact, unlike traditional aerodynamics which might focus primarily on forces.

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Rarefied hypersonic flows, defined by a Knudsen number above 0.1, are accurately described by the standard Navier-Stokes equations.

Answer: False

Explanation: Rarefied hypersonic flows, characterized by a Knudsen number greater than 0.1, represent a departure from continuum fluid dynamics and cannot be accurately described by the standard Navier-Stokes equations.

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The hypersonic similarity parameter K = M∞ * θ relates the Mach number and the flow deflection angle for slender bodies.

Answer: True

Explanation: The hypersonic similarity parameter, K = M∞ * θ, developed by Wallace D. Hayes, is a critical tool for analyzing hypersonic flow over slender bodies, correlating the freestream Mach number with the flow deflection angle.

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The slenderness ratio (d/l) is used in hypersonic analysis as a substitute for the flow deflection angle when studying slender bodies.

Answer: True

Explanation: For slender bodies in hypersonic flow analysis, the slenderness ratio (defined as diameter 'd' divided by length 'l') is often employed as a practical substitute for the flow deflection angle (θ) when examining similarity parameters.

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What does the field of 'aerothermodynamics' study, particularly in the context of hypersonic research?

Answer: Hypersonic flows, accounting for significant real gas effects due to high temperatures.

Explanation: Aerothermodynamics investigates hypersonic flows, emphasizing the critical role of real gas effects, which arise from the high temperatures and resultant chemical changes, in addition to aerodynamic forces.

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Why do standard Navier-Stokes approximations often fail at transonic speeds?

Answer: Because parts of the flow locally exceed Mach 1, requiring more complex methods.

Explanation: Standard Navier-Stokes approximations are often insufficient at transonic speeds (around Mach 1) because localized regions of the flow can exceed Mach 1, introducing compressibility effects that demand more sophisticated numerical methods.

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In the context of the 'supersonic regime,' what simplification is often made in calculations?

Answer: Linearized theory is applicable, and heat transfer may be neglected.

Explanation: In the supersonic regime, calculations can often be simplified by applying linearized theory, and heat transfer effects between the air and the vehicle may be reasonably neglected.

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Why are similarity parameters crucial for analyzing hypersonic flows?

Answer: They simplify complex flows into manageable groups exhibiting similar behavior.

Explanation: Similarity parameters are essential in hypersonic flow analysis because they enable the simplification of numerous complex flow conditions into manageable groups that exhibit similar behaviors, thereby facilitating study and comparison.

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Mach and Reynolds numbers are insufficient alone for categorizing hypersonic flows primarily because:

Answer: The oblique shock angle becomes nearly independent of Mach number at high speeds.

Explanation: Mach and Reynolds numbers alone are insufficient for categorizing hypersonic flows because, at high speeds, the oblique shock angle becomes nearly independent of the Mach number, necessitating additional parameters for accurate classification.

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What does the field of 'aerothermodynamics' study, particularly in the context of hypersonic research?

Answer: Hypersonic flows, accounting for significant real gas effects due to high temperatures.

Explanation: Aerothermodynamics investigates hypersonic flows, emphasizing the critical role of real gas effects, which arise from the high temperatures and resultant chemical changes, in addition to aerodynamic forces.

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The hypersonic similarity parameter K = M∞ * θ is significant for analyzing hypersonic flow over what type of bodies?

Answer: Slender bodies

Explanation: The hypersonic similarity parameter K = M∞ * θ is particularly significant for analyzing hypersonic flow characteristics over slender bodies.

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Specific Hypersonic Flow Regimes

The 'perfect gas' regime in hypersonic flow typically extends up to Mach 10-12, where gases behave ideally and simulations use constant-temperature walls.

Answer: True

Explanation: The 'perfect gas' regime, where gases behave ideally and are often simulated with constant-temperature walls, typically applies to hypersonic speeds up to approximately Mach 10-12.

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The 'dissociated gas' regime occurs when gases begin to ionize, requiring modeling of charged particles.

Answer: False

Explanation: The 'dissociated gas' regime is characterized by the dissociation of molecules, not ionization. Ionization marks a subsequent, more energetic regime.

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In the 'ionized gas' regime, electron temperature is typically considered the same as the overall gas temperature.

Answer: False

Explanation: In the 'ionized gas' regime, the electron temperature is often significantly different from the overall gas temperature, necessitating separate modeling for each.

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The radiation-dominated regime becomes relevant at speeds below Mach 5, where radiative heat transfer is significant.

Answer: False

Explanation: The radiation-dominated regime becomes relevant at much higher speeds, typically above approximately 12 km/s (which is significantly above Mach 5), where radiative heat transfer becomes dominant over convective heat transfer.

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Modeling 'optically thick' gases in the radiation-dominated regime is computationally simple because radiation is not re-absorbed.

Answer: False

Explanation: Modeling 'optically thick' gases in the radiation-dominated regime is computationally intensive, not simple, because radiation is significantly absorbed and re-emitted within the gas, requiring complex calculations at each point.

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The 'perfect gas' regime in hypersonic flow typically applies to speeds ranging from approximately:

Answer: Mach 5 to Mach 10-12

Explanation: The 'perfect gas' regime, where gases behave ideally, typically extends from approximately Mach 5 up to Mach 10-12 in hypersonic flow.

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When does the 'radiation-dominated regime' become relevant in hypersonic flow?

Answer: At speeds above approximately 12 km/s.

Explanation: The 'radiation-dominated regime' becomes relevant in hypersonic flow at speeds exceeding approximately 12 km/s, where radiative heat transfer becomes the primary mode of energy transfer.

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What is the primary modeling challenge associated with 'optically thick' gases in the radiation-dominated regime?

Answer: Calculating radiation at each point is computationally intensive.

Explanation: The primary challenge in modeling 'optically thick' gases within the radiation-dominated regime lies in the computational intensity required to calculate the absorption and emission of radiation at each point within the flow.

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Applications and Examples

The Space Shuttle is mentioned as an example of a spacecraft operating in the high hypersonic and re-entry speed regimes.

Answer: True

Explanation: The Space Shuttle, during its atmospheric re-entry phase, operated within the high hypersonic and re-entry speed regimes, experiencing extreme thermal and aerodynamic conditions.

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Which of the following spacecraft is mentioned as operating in the high hypersonic and re-entry speed regimes?

Answer: SpaceX Starship

Explanation: SpaceX Starship is mentioned as a reusable spacecraft under development designed to operate within the high hypersonic and re-entry speed regimes.

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Which of the following is an example of a hypersonic missile mentioned in the text?

Answer: 3M22 Zircon

Explanation: The 3M22 Zircon is explicitly mentioned in the provided text as an example of a hypersonic missile.

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