Showing papers on "Trajectory of a projectile published in 1969"
Patent•
20 Nov 1969
TL;DR: In this paper, a real-time system for calculating the ballistic time of fall and range of a weapon from a known altitude above a target using weighted clock pulses for digital integrators in multi-loop function generators.
Abstract: A real-time system is provided for calculating in less than about 40 msec. of actual time the ballistic time of fall and range of a weapon from a known altitude above a target using weighted clock pulses for digital integrators in multi-loop function generators. Digital integrators of the system are first used to generate initial conditions for the solution of simultaneous second order non-linear differential equations of motion developed from the geometry and physics of the ballistic trajectory problem assuming a cool exponential atmosphere. The multi-loop function generators then solve the simultaneous differential equations with interruptions to recalculate initial conditions as necessary.
7 citations
TL;DR: In this article, the Izsak-Borchers (I-B) relations, used to specify a ballistic trajectory, are fitted to assumed initial position and velocity vectors, and errors produced by perturbations of the initial vectors are traced to errors in the geographical coordinates at the impact point.
Abstract: Differential coefficients are calculated and applied to two problems in celestial mechanics. First, the Izsak-Borchers (I-B) relations, used to specify a ballistic trajectory, are fitted to assumed initial position and velocity vectors. Second, errors produced by perturbations of the initial vectors are traced to errors in the geographical coordinates at the impact point. The I-B relations are shown to be essentially exact for a hypothetical ballistic trajectory based on the Vinti potential. With corrections for some of the harmanics not included in this reference potential, the I-B relations specify a ballistic trajectory with rms values 1.5 X 10 ~6 earthradii-units (eru) in position and 7.2 X 10~ 9 era/sec in velocity. The results of this paper have applications to recovery of a data capsule ejected from a reconnaissance satellite.
3 citations
01 Dec 1969
TL;DR: Mean orbital elements for Vinti spheroidal theory of drag-free satellite motion applied to ballistic trajectories were used in this article, where they were applied to trajectories of ballistic vehicles.
Abstract: Mean orbital elements for Vinti spheroidal theory of drag-free satellite motion applied to ballistic trajectories