Engineering topics

Szebehely, V.

Publications and source records attributed to Szebehely, V..

34 records · Page 2

NASA NTRS1978

Celestial mechanics during the last two decades

The unprecedented progress in celestial mechanics (orbital mechanics, astrodynamics, space dynamics) is reviewed from 1957 to date. The engineering, astronomical and mathematical aspects are synthesized. The measuring and computational techniques developed parallel with the theoretical advances are outlined. Major unsolved problem areas are listed with proposed approaches for their solutions. Extrapolations and predictions of the progress for the future conclude the paper.

Szebehely, V.↗

NASA NTRS1976

Linearization of dynamical systems using integrals of the motion

A method is presented which transforms certain nonlinear differential equations of dynamics into linear equations by introducing an independent variable and utilizing the integrals of motion. As examples of special interest, the linearizations of unperturbed and perturbed Keplerian motions are discussed.

Szebehely, V.↗

NASA NTRS1976

The computation of relative motion with increased precision

Encke's method as modified by Potter to increase the accuracy of orbit computations of gravitationally interacting bodies is applied to the problem of relative motion of non-interacting space vehicles. This technique is then combined with a simple transformation of the independent variable to arrive at a system of equations from which the relative motion may be determined with increased precision.

Nacozy, P.↗

NASA NTRS1970

Poincare's hydrodynamic analogy in celestial mechanics

Poincare hydrodynamic analogy in celestial mechanics, relating differential equations for dynamic systems with two degrees of freedom and two and three dimensional flow

Szebehely, V.↗

NASA NTRS1970

Mean motions and characteristics exponent at the libration points

Solar system planetary mean motions calculation from characteristic equations roots at equilibrium points of restricted three body problem, using Taylor series solution

Cochran, J. E.↗

NASA NTRS1970

New families of periodic orbits in the general planar problem of three bodies

Periodic orbit families in planar Pythagorean three body problem

Szebehely, V.↗

NASA NTRS1969

Trajectory optimization using regularized variables

Regularized equations for a particular optimal trajectory are compared with unregularized equations with respect to computational characteristics, using perturbation type numerical optimization. In the case of the three dimensional, low thrust, Earth-Jupiter rendezvous, the regularized equations yield a significant reduction in computer time.

Lewallen, J. M.↗

NASA NTRS1969

Trajectory optimization using regularized variables.

Trajectory optimization of space vehicle with continuous thrust based on regularized equations, comparing perturbation method for earth-Jupiter rendezvous transfer

Lewallen, J. M.↗

NASA NTRS1968

Applications of celestial mechanics for deep space investigations.

Celestial mechanics and astrodynamics application to deep space missions, discussing relativity, optimized close approaches, swing-by accuracy and on-board computations

Szebehely, V.↗

NASA NTRS1968

Trajectory optimization using regularized variables.

Trajectory optimization of space vehicle with continuous thrust based on regularized equations, comparing perturbation method for earth-Jupiter rendezvous transfer

Lewallen, J. M.↗

NASA NTRS1968

Regularization in stellar dynamics.

Close approaches /including binary collisions/ using model of gravitational problem of N bodies

Szebehely, V.↗

NASA NTRS1967

A new periodic solution of the problem of three bodies.

Periodic solution to three body problem with binary collision using numerical integration

Peters, C. F.↗

NASA NTRS1967

Burrau's problem of three bodies.

Solution to Burrau three-body problem including historical and scientific background

CLASSICAL MECHANICS↗

NASA NTRS1967

Theory of Orbits.

Book on theory of orbits covering restricted problem of three bodies, two bodies in rotating coordinate system and periodic orbits

LIBRATIONAL MOTION↗

NASA NTRS1966

On an irreversible dynamical system with two degrees of freedom - The restricted problem of three bodies

Orbital motion in restricted three-body problem

THREE-BODY PROBLEM↗

NASA NTRS1964

A group of earth-to-moon trajectories with consecutive collisions.

Set of earth to moon trajectories and its relation to apollo mission trajectories

THREE-BODY PROBLEM↗