Entry Deceleration and Mass Change of an Ablating Body

Gazley, Carl

doi:10.1007/978-3-642-48927-3_7

Cited by 4 publications

(3 citation statements)

References 2 publications

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“…In addition, the agreement between the present theory and the computed values of Z. Ceplecha (personal communication, 1979) also provides a quantitative verification of our theoretical approach.Physically, we have the following interpretation of the parameters in the model. By followingGazley [1964] the parameter a can be quantitatively considered as a dimensionless mean free path. It formally represents the mass of air intercepted by the frontal area of the body compared to the body's initial mass per unit drag area.…”

mentioning

confidence: 85%

A predictive macroscopic integral radiation efficiency model

Revelle¹

1980

J. Geophys. Res.

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A procedure is developed which unites the photometric and dynamic methods of calculating large meteoroid properties from their observed behavior in the atmosphere. By utilizing a linear separation of variables solution for the kinetic energy depletion factor in the classical single‐body entry model the relationship between this factor and the various efficiencies of heat, radiation, ionization, compressional waves, etc. is obtained. By using this equivalency the radiation efficiency (integral value of the fractional ‘light’ production) can be calculated immediately without recourse to the complex quantum mechanical considerations first introduced by Öpik if only the ratios of the various efficiencies to one another are known. By using the free molecular flow value of these ratios the radiation efficiency is predicted via this macroscopic approach without using further meteor data. If other nonintegral values of the radiation efficiency, such as those of ReVelle and Rajan (1979), are converted to the present definition, good agreement between the methods is obtained. Such agreement is also found for integral radiation efficiency values computed recently by Ceplecha for a number of the Prairie Network fireballs. These results suggest that the above ratios do not vary greatly between the extremes of free molecular and continuum flow. This conclusion is also consistent with the results of earlier workers.

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mentioning

confidence: 85%

A predictive macroscopic integral radiation efficiency model

Revelle¹

1980

J. Geophys. Res.

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“…Closed-form, explicit approximations for entry range have generally been restricted to vehicles with nonzero L∕D, such as Sänger and Bredt's equilibrium glide [1]. For ballistic entry, approximate trajectory solutions in the literature typically omit range [32] or evaluate range through integrals that must be solved numerically [33,34]. Kornreich's truncated-series approximation of range during ballistic entry is the only closed-form expression found in the current literature [8].…”

Section: Closed-form Expressions For Rangementioning

confidence: 99%

Extension and Enhancement of the Allen–Eggers Analytical Ballistic Entry Trajectory Solution

Putnam

Braun

2015

Journal of Guidance, Control, and Dynamics

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“…11 For satellite, the trajectory can be accurately predicted by the analytical solution of Kepler's equation. 12,13 For the ballistic re-entry vehicle, Allen, Chapman, et al [14][15][16][17][18] obtained the analytical solutions to the equations of motion for ballistic entry at constant flight-path angle by neglecting both the gravity and the centrifugal force. Thereafter, Zachary 19 proposed an explicit and analytical method to determine the appropriate flight-path angle, improving the accuracy of the Allen solution.…”

Section: Introductionmentioning

confidence: 99%

Analytical trajectory prediction for skip re-entry of lifting vehicle

Zhao¹,

Meng²,

Chen³

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part G:

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An analytical trajectory prediction method is put forward for skip re-entry of lifting vehicles. First, the 3-D analytical solutions of skip re-entry trajectory are developed, which are crucial to realize the analytical trajectory prediction. To facilitate the derivation, an auxiliary geocentric inertial frame is established to deal with the strong nonlinear problem caused by the Earth’s rotation. Thereafter, the analytical solutions of the downrange, crossrange, and velocity are approximated by the outer solutions of a two-time scale singular perturbation. The analytical solutions of the altitude and flight-path angle are developed using regular perturbation techniques which can decompose the strongly coupled and nonlinear system into a sequence of linear problems. Second, since the analytical solutions are with respect to the lift-to-drag ratio and bank angle, a method based on the EKF technique is proposed to estimate the lift-to-drag ratio and bank angle of the re-entry vehicle. Third, the analytical trajectory prediction schemes for the lifting re-entry vehicle with multiple bank reversals are put forward. The simulations show that the proposed analytical solutions are in good agreement with the numerical solutions, but the computation time of the analytical solutions is about two orders of magnitude less than that of the numerical solutions. In addition, the superior performance of the proposed analytical trajectory prediction method is well demonstrated by the simulation results.

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Entry Deceleration and Mass Change of an Ablating Body

Cited by 4 publications

References 2 publications

A predictive macroscopic integral radiation efficiency model

A predictive macroscopic integral radiation efficiency model

Extension and Enhancement of the Allen–Eggers Analytical Ballistic Entry Trajectory Solution

Analytical trajectory prediction for skip re-entry of lifting vehicle

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