Optimal Lifting Re-Entry by Reduced-Order Approximation
Abstract
A faster method for computing optimal three dimensional trajectories that maximize the landing footprint of a lifting re-entry vehicle has been developed. The method uses energy approximations based on the assumption that the flight path angle is small and the flight path angular rate is zero. Thus, the vertical component of lift is considered equal to the weight minus centrifugal relief, and the equation of motion are reduced in order from six to four. Because of this simplification, the classical indirect method of the calculus of variations is used to compute families of optimal solutions. Using data corresponding to one of the space shuttle configurations, computations have been carried out for both unconstrained trajectories and for solutions that have aerodynamic heating rates and lift coefficients limited to specified values. During the investigation, several interesting analytical finds were uncovered that could be used as a basis for an onboard guidance scheme.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1973
- Accession Number
- AD0764132
Entities
People
- H. Hinz
- W. O'dwyer
Organizations
- Grumman