Recent developments in analytical celestial mechanics
Celestial mechanics, and perturbation theory in deriving perturbed precessing elliptic orbits
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Celestial mechanics, and perturbation theory in deriving perturbed precessing elliptic orbits
Book on celestial mechanics covering perturbation methods, two body problems, astronomical coordinates, orbital mechanics, satellite rotation, gravitational effects, etc
Research program on celestial mechanics for guidance and trajectory control application
The equations of celestial mechanics that govern the temporal rates of change of orbital elements are completely derived using elementary dynamics and proceeding only from Newton's equation and its solution. Two orbital equations and the four most meaningful orbital elements - semimajor axis, eccentricity, inclination, and longitude of pericenter - are written in terms of the orbital energy (E) and angular momentum (H) per unit mass. The six resulting equations are differentiated with respect to time to see the effect on the orbital elements of small changes in E and H. The usual perturbation equations in terms of disturbing-force components are then derived by computing the manner in which perturbing forces change E and H. The results are applied in a qualitative discussion of the orbital evolution of particles in nonspherical gravitational fields, through atmospheres, and under the action of tides.
Perturbation theories for equations of celestial mechanics, obtaining analytical solutions in terms of Chebyshev polynomial series
Celestial mechanics and astrodynamics application to deep space missions, discussing relativity, optimized close approaches, swing-by accuracy and on-board computations
Poincare hydrodynamic analogy in celestial mechanics, relating differential equations for dynamic systems with two degrees of freedom and two and three dimensional flow
Automated algebraic manipulation in celestial mechanics, discussing use of Poisson series in perturbation theory problem
Periodic solutions for restricted three-body problem of celestial mechanics
Methods of regularization for computing orbits in celestial mechanics
Application of Lie series to celestial mechanics
Celestial mechanics experiment for Mariner Mars 1971 to test general relativity theory and improve Martian ephemeris
Abstracts and discussion of topics included in NASA conference on celestial mechanics
Disproof of Wintner analytical foundations of celestial mechanics regarding binary collision in three body problem
The gravitation and celestial mechanics investigations that are to be conducted during the cruise and Orbiter phases of the Galileo Mission cover four investigation categories: (1) the gravity fields of Jupiter and its four major satellites; (2) a search for gravitational radiation; (3) mathematical modeling of general relativistic effects on Doppler ranging data; and (4) improvements of the Jupiter ephemeris via Orbiter ranging. Also noted are two secondary objectives, involving a range fix during Venus flyby and the determination of the earth's mass on the bases of the two earth gravity assists used by the mission.
N-body problem real singularities in celestial mechanics, considering present status and holomorphic motion
Celestial mechanics perturbation methods applied to problem of describing motion of rigid artificial earth satellite about its center of mass