You are presented with multiple paper abstracts, alongside the associated literature review and chapter titles. Given the provided information, you are going to do a literature review. Please generate a coherent literature review that synthesizes the content, draws connections between different works, highlights major findings, and identifies any gaps in the existing research.

Literature Review Title: Survey of Blunt Body Dynamic Stability in Supersonic Flow 
Chapter Title:  Analytical Applications of the Equation of Motion 
1. Abstract of Cited Paper (BIB001):  From Summary: "An analysis is given of the oscillatory motions of vehicles which traverse ascending and descending paths through the atmosphere at high speed. The specific case of a skip path is examined in detail, and this leads to a form of solution for the oscillatory motion which should recur over any trajectory. The distinguishing feature of this form is the appearance of the Bessel rather than the trigonometric function as the characteristic mode of oscillation."

Literature Review:
In the literature, Eqs. (5) and (6) above have been manipulated to obtain analytical descriptions of key parameters or special cases which are useful in developing intuition and gaining insight into the expected dynamic response. By using an exponential atmosphere and other assumptions, Allen BIB001 was able to find an analytical expression for the velocity as function of altitude. By implementing this into the relations above, he then introduced a dynamic stability criterion: where ξ < 0 would indicate a dynamically stable configuration. Fig. 2 displays this parameter as a function of cone angle and location of the center of gravity for conical missile shapes. It can be seen that at the high cone angles typically used for entry vehicles due to heating concerns, the parameter becomes less negative which indicates the body is less dynamically stable. This criterion is similar to using a negative lift curve slope as an indicator that a vehicle is statically stable. While this parameter is useful for understanding the trends of dynamic stability, the numerous assumptions behind its derivation require that it be used with caution, as a negative ξ does not guarantee a dynamically stable vehicle. Often, in the literature and throughout this report, the pitch damping sum ( ̇) from the dynamic stability parameter is used independently as a measure of dynamic stability, with negative values indicating positive (favorable) damping. This term is effectively a measure of the damping experienced during small oscillation perturbations about a mean angle of attack  . Using the same closed form solution for the velocity as in BIB001 , multiple studies formulated expressions for bounding the maximum oscillation amplitude and frequency BIB001 , BIB002 ,  ,  . More recently, Schoenenberger et al  solved Eq. (6) with the Euler-Cauchy equation and used this solution to study the simplified oscillatory behavior of a body in which additional assumptions of a body in free flight ground testing apply. These analytical formulations are useful in understanding the fundamentals of the dynamic stability phenomenon. However, the numerous assumptions made do not accurately capture the complex nature of the flow field around a blunt body and limit their use as design and analysis tools.