12 citations · 35 across the 24 of their papers we have counts for
9 papers · 1 filter
New methods for analytical calculation of elliptic integrals, applied in various physical problems
Bogdan G. Dimitrov
A short review will be made of elliptic integrals, widely applied in GPS (Global Positioning System) communications (accounting for General Relativity Theory-effects), cosmology, B…
New Mathematical Models of GPS Intersatellite Communications in the Gravitational Field of the Near-Earth Space
Bogdan G. Dimitrov
Several space missions such as GRACE, GRAIL, ACES and others rely on intersatellite communications (ISC) between two satellites at a large distance one from another. The main goal…
Two null gravitational cones in the theory of GPS-intersatellite communications between two moving satellites. I. Physical and mathematical theory of the space-time interval and the geodesic distance on intersecting null cones
Bogdan G. Dimitrov
Several space missions such as GRACE, GRAIL, ACES and others rely on intersatellite communications (ISC) between two satellites at a large distance one from another. The main goal…
Flows and particles with shear-free and expansion-free velocities in (L^-_n,g)- and Weyl's spaces
Sawa Manoff, Bogdan Dimitrov
Conditions for the existence of flows with non-null shear-free and expansion-free velocities in spaces with affine connections and metrics are found. On their basis, generalized We…
Projective Formalism and Some Methods from Algebraic Geometry in the Theory of Gravitation
B. G. Dimitrov
The purpose of this paper is to propose the implementation of some methods from algebraic geometry in the theory of gravitation, and more especially in the variational formalism. I…
On the existence of a gyroscope in spaces with affine connections and metrics
S. Manoff, B. Dimitrov
Conditions for the existence of a gyroscope in spaces with affine connections and metrics are found. They appear as special types of Fermi-Walker transports for vector fields, lyin…
Weyl's spaces with shear-free and expansion-free conformal Killing vectors and the motion of a free spinless test particle
S. Manoff, B. Dimitrov
Conditions for the existence of shear-free and expansion-free non-null vector fields in spaces with affine connections and metrics are found. On their basis Weyl's spaces with shea…
A Modified Variational Principle in Relativistic Hydrodynamics. I.Commutativity and Noncommutativity of the Variation Operator with the Partial Derivative
B. G. Dimitrov
A model is proposed, according to which the metric tensor field in the standard gravitational Lagrangian is decomposed into a projection (generally - with a non-zero covariant deri…
A Modified Variational Principle in Relativistic Hydrodynamics. II. Variations of the vector field and the projection tensor in the general case and under definite assumptions
B. G. Dimitrov
The purpose of the paper is to develop further a projection variational approach in relativistic hydrodynamics. The approach, previously proposed in [gr-qc/9908032], is based on th…