MEASUREMENT OF ELECTRICAL CONDUCTIVITY OF IONIZED AIR DURING REENTRY
Abstract
Aerospace Corp., El Segundo, Calif. TAKE-OFF FROM A CIRCULAR ORBIT BY LOW-CIRCUMFERENTIAL THRUST, by B. Billik. 24 Jan 62, 21p. 6 refs. (Rept. no. TDR-930(2560-40)TN-1) Contract AF 04(647)930) (DCAS TDR 62-27)Unclassified report DESCRIPTORS: (Satellite vehicles, Spaceships, *Orbital flight paths, Separation, Take-off, Space flight, *Celestial mechanics, Dynamics, Mathematical analysi, Differential equations, Integral equations, Bessel functions, Pertur bation theory.) (Motion, Equations.) Identifiers: Orbital transfer traectories. The motion of a satellite, initially in a circular orbit aout the earth and traveling under the action of a constant cirumferential acceleration, is analyzed. The radius and angular momentum of the vehicle are obtained as functions of the time. These expressons are accurate over most of the trajectory before escape conditions are met. Due to the complexity of these equations, a set of simplified expressions for the radius, angular momentum, radial velocity, speed, and flight path angle are also obtained. The simplified equations are more amenable to computation but are accurate over a more restrited range of radial distance. These latter equations indicate a damping out of periodic terms as the vehicle recedes from the earth. The approach utilized is believed unique insofar as its application to low thrust problems is concerned. SPECIFICALLY, THE EQUATIONS OF MOTION ARE LINEARIZED BY INTRODUCING A NEW VARIABLE, DEFINED AS THE DIFFERENCE BETWEEN THE SQUARE OF THE INSTNTANEOUS ANGULAR MOMENTUM OF THE ACTUAL ORBIT AND THAT OF A CIRCULAR ORBIT AT THE INSTANTANEOUS RADIUS. The linearized equations are then solved for this quantity as a function of the time. This new variable might find application in attempts to solve other perturbative problems related to satellites initially in circular orbits. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 16, 1962
- Accession Number
- AD0273478
Entities
People
- A.e. Fuhs
- R. Betchov
Organizations
- The Aerospace Corporation