The theory of orbits is developed using spherical polar coordinates and the inverse square law of attraction. In general the orbit is three dimensional and there are several constants of motion defined by the total angular momentum in three dimensions and by components. The orbit is an intricate function of the coordinates of the spherical polar coordinates and is not confined to a plane perpendicular to the axis of one angular momentum as in plane polar coordinates. There are several types of Coriolis and centripetal acceleration in general. A hamiltonian and lagrangian analysis is used to develop the theory
Abstract: Kepler’s equations are considered as central to Celestial Mechanics since their solutions ...
The use of simple physical reasoning instead of the method of varying constants has made it possible...
Starting from Hamilton's principle on a rotating sphere, we derive a series of successively more acc...
www.et3m.net) Three dimensional orbital theory is applied with the inverse square law of attraction ...
www.et3m.net) The three dimensional orbit from the inverse square law of attraction is analyzed in s...
We develop a theory of orbits for the inverse-square central force law which differs considerably f...
Abstract: In any system of bodies, relativistic considerations can provide only those parameters of ...
A relativistic theory of orbits is developed based on the Minkowski force equation, a classical limi...
www.et3m.net) Planetary precession in the solar system and elsewhere in the universe is explained st...
ABSlltACT It is demonstrated straightforwardly that a precessing elliptical orbit can be described w...
In his paper I examine influence of small gravitational torque on rotation of elongated triaxial bod...
It is shown that the origin of all known orbital trajectories is the spherical symmetry of space-tim...
The spherical coordinates of a point p can be obtained by the following geometric construction. The ...
The equations of spherical trigonometry are derived via three dimensional rotation matrices. These i...
Fifty years after Sputnik, artificial satellites have become indispensable monitors in many areas, s...
Abstract: Kepler’s equations are considered as central to Celestial Mechanics since their solutions ...
The use of simple physical reasoning instead of the method of varying constants has made it possible...
Starting from Hamilton's principle on a rotating sphere, we derive a series of successively more acc...
www.et3m.net) Three dimensional orbital theory is applied with the inverse square law of attraction ...
www.et3m.net) The three dimensional orbit from the inverse square law of attraction is analyzed in s...
We develop a theory of orbits for the inverse-square central force law which differs considerably f...
Abstract: In any system of bodies, relativistic considerations can provide only those parameters of ...
A relativistic theory of orbits is developed based on the Minkowski force equation, a classical limi...
www.et3m.net) Planetary precession in the solar system and elsewhere in the universe is explained st...
ABSlltACT It is demonstrated straightforwardly that a precessing elliptical orbit can be described w...
In his paper I examine influence of small gravitational torque on rotation of elongated triaxial bod...
It is shown that the origin of all known orbital trajectories is the spherical symmetry of space-tim...
The spherical coordinates of a point p can be obtained by the following geometric construction. The ...
The equations of spherical trigonometry are derived via three dimensional rotation matrices. These i...
Fifty years after Sputnik, artificial satellites have become indispensable monitors in many areas, s...
Abstract: Kepler’s equations are considered as central to Celestial Mechanics since their solutions ...
The use of simple physical reasoning instead of the method of varying constants has made it possible...
Starting from Hamilton's principle on a rotating sphere, we derive a series of successively more acc...