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Engineering topics

Chern, J. S.

Publications and source records attributed to Chern, J. S..

Phugoid oscillations in optimal reentry trajectories

A major problem with operations of lifting reentry vehicle having and aft center-of-gravity location due to large engine mass at the rear is the required hypersonic trim to fight the desired trajectory. This condition is most severe for lifting maneuvers. As a first step toward analyzing this problem, this paper considers the lift requirement for some basic maneuvers in the plane of a great circle. Considerations are given to optimal lift control for achieving the maximization of either the final altitude, speed or range. For the maximum-range problem, phugoid oscillation along an optimal trajectory is less severe as compared to a glide with maximum lift-to-drag ratio. An explicit formula for the number of oscillations for an entry from orbital speed is proposed.

Vinh, N. X.↗

Optimum reentry trajectories of a lifting vehicle

Research results are presented of an investigation of the optimum maneuvers of advanced shuttle type spacecraft during reentry. The equations are formulated by means of modified Chapman variables resulting in a general set of equations for flight analysis which are exact for reentry and for flight in a vacuum. Four planar flight typical optimum manuevers are investigated. For three-dimensional flight the optimum trajectory for maximum cross range is discussed in detail. Techniques for calculating reentry footprints are presented.

Chern, J. S.↗

Three-dimensional optimum maneuvers of a hypervelocity vehicle

In this paper the optimum three-dimensional maneuver in lift and bank control of a reentry vehicle is investigated. The use of the modified Chapman's variables and a normalized lift coefficient allows a general discussion of the optimum control of an arbitrary vehicle reentering any planetary atmosphere. Several planar problems are solved. Using the condition of equilibrium glide, the maximum cross range and the footprint of a reentry vehicle from circular speed are computed in terms of the maximum lift-to-drag ratio.

Vinh, N. X.↗

Optimum reentry trajectories of a lifting vehicle

The optimum maneuver of a space shuttle vehicle reentering a spherical, stationary, and locally exponential atmosphere was investigated. The use of Chapman's modified variables and a rescaled lift-drag polar leads to the formulation of a set of dimensionless equations of motion for flight analysis. The resulting equations are exact in the sense that they are also valid for flight in the vacuum. For planar flight several typical optimum maneuvers are investigated at different altitude ranges, low, moderate and very high. For three-dimensional flight, the procedure to solve the optimum trajectory for maximum cross range is discussed. Finally, using the equilibrium glide condition the maximum cross ranges for entry from circular speed, for several values of E*, and the footprint for E* = 1.5 are computed in this reduced problem.

Chern, J. S.↗