CONSTANTS AND RELATED DATA USED IN TRAJECTORY CALCULATIONS AT THE JET PROPULSION LABORATORY
Constants and related data used in trajectory calculations at jet propulsion laboratory
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Constants and related data used in trajectory calculations at jet propulsion laboratory
Theory and application of the critical direction method of trajectory optimization
Trajectories for return to earth phase of lunar missions
The restricted Three-Body-Problem considers the motion of an infinitesimal mass under the gravitational attraction of two finite masses, which revolve about their common center of gravity in coplanar circles. It is well known that Euler's problem of two fixed centers, consisting of the motion of an infinitesimal mass under the gravitational attraction of two finite masses fixed in space, can be solved by elliptic functions. The idea presented here is to take the solution of Euler's problem as the solution of the restricted Three-Body-Problem by allowing the initial values to be functions of time now. Differential equations for the perturbed initial values are established. These equations can be given in closed form by using the fact that the transformation to the perturbed initial values of Euler's problem is canonical. Thus, an approximation can be obtained for the solution of the restricted Three-Body-Problem. The method can also be used to represent classes of neighboring trajectories for guidance purposes.
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Spacecraft guidance - multistage rocket trajectories
Spacecraft guidance - low thrust propulsion trajectories
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Low thrust propulsion interplanetary trajectory flight optimization - guidance systems
Low thrust trajectory analysis - guidance systems
Trajectory requirements for terminal lunar landing from analog simulation of spacecraft
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