Linear feedback guidance
Determination of closed loop guidance function with linear, time-variable feedback studied by behavior of motion equations
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Determination of closed loop guidance function with linear, time-variable feedback studied by behavior of motion equations
Degree of agreement between cosmic ray cut-offs derived from McIlwain parameter and those from numerical integration of motion equations
Control techniques for large highly-coupled elastic boost vehicles with elastic and fuel slosh mode frequencies close to desired control frequencies - motion equations
Reaction rates and yield for multichannel molecular collisions, introducing observable yield operator in theory, using motion equations
Nonlinear calculations of intermediate amplitude to analyze stability of pulsating stars of varying composition, mass, luminosity, etc, using numerical integration of motion equations
Onboard device locating present and future orbital satellite position through microfilm map dependent on satellite motion equation
Free vibrations of freely supported toroidal shell, noting elastic motion equations in terms of toroidal coordinates and boundary conditions applicable to polar motion
Mathematical model for studying liquid slosh effects on rendezvous dynamics by incorporating sloshing dynamics into vehicle motion equation
Comparative sets of higher order adiabatic motion equations for plasmas in electric and magnetic fields with slow variations
Global Positioning System (GPS) simulation is an important activity in the development or qualification of GPS signal receivers for space flight. Because a GPS simulator is a critical resource it is highly desirable to develop a set of field operational procedures to supplement the basic procedures provided by most simulator vendors. Validated field procedures allow better utilization of the GPS simulator in the development of new test scenarios and simulation operations. These procedures expedite simulation scenario development while resulting in scenarios that are more representative of the true design, as well as enabling construction of more complex simulations than previously possible, for example, spacecraft maneuvers. One difficulty in the development of a simulation scenario is specifying various modes of test vehicle motion and associated maneuvers requiring that a user specify some (but not all) of a few closely related simulation parameters. Currently this can only be done by trial and error. A stand-alone procedure that implements the simulator maneuver motion equations and solves for the motion profile transient times, jerk and acceleration would be of considerable value. Another procedure would permit the specification of some configuration parameters that would determine the simulated GPS signal composition. The resulting signal navigation message, for example, would force the receiver under test to use only the intended C-code component of the simulated GPS signal. A representative class of GPS simulation-related field operational procedures is described in this paper. These procedures were developed and used in support of GPS integration and testing for many successful spacecraft missions such as SAC-A, EO-1, AMSAT, VCL, SeaStar, sounding rockets, and by using the industry standard Spirent Global Simulation Systems Incorporated (GSSI) STR series simulators.
Energy and motion equations for libration of lunar satellite
Wind shear theory of formation of temperate zone blanketing sporadic E layers, noting motion equation for ions in ionospheric E region
Motion equations for mechanics of changing body of variable mass
Computer techniques for simultaneously solving motion equations of interacting particles - plasma physics
Formulation of motion equation for problem of flow through tubes
Motion equations for collisionless electron and ion plasma
Solutions for angular motion equations of rotating space station by approximation method using small angle theory and exact computer method
Motion equations for passive gravity gradient satellites