1968
DOI: 10.1007/978-3-642-48927-3_7
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Entry Deceleration and Mass Change of an Ablating Body

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1979
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Cited by 4 publications
(3 citation statements)
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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%
“…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%
“…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%
“…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%