In the presence of significant and consistent non-gravitational accelerations, accelerometer measurements are often used in lieu of analytical expressions to propagate the state of aerospace vehicles in model-based estimation algorithms such as the Kalman filter [1, 2]. In space applications, accelerometers are often used to propagate the state of the vehicle through a translational maneuver, o...

For the gravitational wave model based on type III Shapovalov space-time, test particle trajectories and exact solution of geodesic deviation equations for Bianchi VII universe are obtained. Based found 4-vector deviation, tidal accelerations in a calculated. obtained privileged coordinate system, an explicit form transformations into synchronous reference system is found, which allows time syn...

An appfication of a precision orbit determination technique for NASA's Earth Observing System (EOS) using the Global Positioning System (GPS) is described. This technique allows the geometric information from measurements of GPS carrier phase and P-code pseudo-range to be exploited while minimizing requirements for precision dynamical modeling. Briefly, the method combines geometric and dynamic...

A dedicated mission in low Earth orbit is proposed to test predictions of gravitational interaction theories and to directly measure the atmospheric density in a relevant altitude range, as well as to provide a metrological platform able to tie different space geodesy techniques. The concept foresees a small spacecraft to be placed in a dawn-dusk eccentric orbit between 450 and 1200 km of altit...

We propose that future experiments aiming at the detection of deviations from the 1/r 2 gravitational law on submillimetric scales can be used to test the modified Newtonian dynamics theory (MOND). Current experiments are able to test the gravitational field of masses m ≈ 1g at distances r ≈ 200 µm, implying that they are probing accelerations well above the MOND limit (a 0 ≈ 1.2 × 10 −8 cms −2...

We extend the construction of Born’s Reciprocal Phase Space Relativity to the case of Clifford Spaces which involve the use of polyvectors and a lower/upper length scale. We present the generalized polyvector-valued velocity and acceleration/force boosts in Clifford Phase Spaces and find an explicit Clifford algebraic realization of the velocity and acceleration/force boosts. Finally, we provid...

Non-baryonic Dark Matter (DM) appears in galaxies and other cosmic structures when and only when the acceleration of gravity, as computed considering only baryons, goes below a well defined value a0 = 1.2 × 10 −8 cm s. This fact is extremely important and suggestive of the possibility of a breakdown of Newton’s law of gravity (or inertia) below a0, an acceleration smaller than the smallest prob...

Whenever the body is moving in a curvilinear path, inertial torques resulting from centripetal accelerations act on the body and must be counteracted to maintain stability. We tested the hypothesis that healthy subjects orient their center of mass in the position where gravitational torques offset the inertial torques due to centripetal accelerations. Ten healthy subjects stood on a platform th...

Obtaining precise attitude information is essential for aircraft navigation and control. This paper presents the results of the attitude determination using an in-house designed low-cost MEMS-based flight information measurement unit. This study proposes a quaternion-based extended Kalman filter to integrate the traditional quaternion and gravitational force decomposition methods for attitude d...

Atom interferometers have demonstrated high sensitivities in measurements of accelerations, rotations and different physical constants. In this article, we present the mobile instrument GAIN (Gravimetric Atom Interferometer) which allows to utilize this potential for high precision on-site measurements of the local gravitational acceleration. Important influences and systematics arising from bo...