In recent years, with the emergency of high precision inertial sensors (accelerometers and gyros), gravity compensation has become a major source influencing the navigation accuracy in inertial navigation systems (INS), especially for high-precision INS. This paper presents preliminary results concerning the effect of gravity disturbance on INS. Meanwhile, this paper proposes a novel gravity co...

[1] Abyssal hills, which are pervasive landforms on the seafloor of the Earth’s oceans, represent a potential tectonic record of the history of mid‐ocean ridge spreading. However, the most detailed global maps of the seafloor, derived from the satellite altimetry‐based gravity field, cannot be used to deterministically characterize such small‐scale (<10 km) morphology. Nevertheless, the small‐s...

The path-integral approach to quantum field theory assigns special importance to finite action Euclidean solutions of classical field equations. In Yang-Mills gauge theories, the instanton solutions of classical field equations with self-dual field strength have given rise to a new, nonperturbative treatment of the quantum field theory and its vacuum state. Since gravitation is also a species o...

Different forms of fluctuations of the terrestrial gravity field are observed by gravity experiments. For example, atmospheric pressure fluctuations generate a gravity-noise foreground in measurements with super-conducting gravimeters. Gravity changes caused by high-magnitude earthquakes have been detected with the satellite gravity experiment GRACE, and we expect high-frequency terrestrial gra...

We study five-dimensional Einstein gravity coupled covariantly to 3-brane with induced gravity on the brane, and consider warped D=4 de Sitter background field solution on the brane. Following background field method we obtain the field equation described by the Lagrangean terms bilinear in quantized gravitational field. In such a free field approximation on curved background we calculate expli...

I discuss the relation between arbitrarily high-order theories of gravity and scalartensor gravity at the level of the field equations and the action. I show that (2n+4)-order gravity is dynamically equivalent to Brans-Dicke gravity with an interaction potential for the Brans-Dicke field and n further scalar fields. This scalar-tensor action is then conformally equivalent to the Einstein-Hilber...

Simplicial higher-derivative quantum gravity is investigated in two dimensions for a manifold of toroidal topology. The manifold is dynamically triangulated using Regge’s formulation of gravity, with continuously varying edge lengths and fiied coordination number. Critical exponents are estimated by computer simulation on lattices with up to 786432 edges, and compared to the continuum conformal...

the problem of downward continuation of the gravity field from the earth’s surface to the reference ellipsoid arises from the fact that the solution to the boundary value problem for geoid determination without applying stokes formula is sought in terms of the disturbing potential on the ellipsoid but the gravity observations are only available on the earth’s surface. downward continuation is a...