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We derive the perihelion precession of planetary orbits using quantum field theory extending the Standard Model to include gravity. Modeling the gravitational bound state of an electron via the Dirac equation of unified gravity [Rep. Prog.…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Mikko Partanen , Jukka Tulkki

The late-time cosmic acceleration may be due to infra-red modifications of General Relativity. In particular, we consider a maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. Generally,…

General Relativity and Quantum Cosmology · Physics 2012-10-30 Tiberiu Harko , Francisco S. N. Lobo

Future proposed satellite missions as Euclid can offer the opportunity to test general relativity on cosmic scales through mapping of the galaxy weak lensing signal. In this paper we forecast the ability of these experiments to constrain…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-01 Matteo Martinelli , Erminia Calabrese , Francesco De Bernardis , Alessandro Melchiorri , Luca Pagano , Roberto Scaramella

In this paper a direct method based on a transcription by finite elements in time has been used to design optimal interplanetary trajectories, exploiting a combination of gravity assist maneuvers and low-thrust propulsion. A multiphase…

Optimization and Control · Mathematics 2011-05-11 Massimiliano Vasile , Franco Bernelli-Zazzera

We propose a new method to test modified gravity theories, taking advantage of the available data on extrasolar planets. We computed the deviations from the Kepler third law and use that to constrain gravity theories beyond General…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-26 Marcelo Vargas dos Santos , David F. Mota

Orbit determination of spacecraft in orbit has been mostly dependent on either GNSS satellite signals or ground station telemetry. Both methods present their limitations, however: GNSS signals can only be used effectively in earth orbit,…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Pedro Rocha Cachim , João Gomes , Rodrigo Ventura

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Viktor T. Toth

We describe the kinematics of circumgalactic gas near the galactic plane, combining new measurements of galaxy rotation curves and spectroscopy of background quasars. The sightlines pass within 19--93 kpc of the target galaxy and generally…

Astrophysics of Galaxies · Physics 2017-02-10 Stephanie H. Ho , Crystal L. Martin , Glenn G. Kacprzak , Christopher W. Churchill

Accurate gravity field calculations are necessary for landing on planets, moons, asteroids, minimoons, or other irregularly shaped bodies, but current methods become increasingly inaccurate and slow near the surface. We present high…

Earth and Planetary Astrophysics · Physics 2024-11-26 Thomas MacLean , Alan H. Barr

We study a model for gravity in 3+1 dimensions, inspired in general relativity in 2+1 dimensions. In contrast regular general relativity in 3+1 dimensions, the model postulates that space in absence of matter is flat. The requirement that…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Maarten van de Meent

Theories in which gravity is weaker on cosmological scales have been proposed to explain the observed acceleration of the universe. The nonlinear regime in such theories is not well studied, though it is likely that observational tests of…

Astrophysics · Physics 2009-11-11 Hans F. Stabenau , Bhuvnesh Jain

We study the butterfly effect by considering shock wave solutions near the horizon of the AdS black brane in some of 3-dimensional Gravity models including; 3D Einstein Gravity, Minimal Massive 3D Gravity, New Massive Gravity, Generalized…

High Energy Physics - Theory · Physics 2017-11-22 Mohammad M. Qaemmaqami

Modifications of Einstein's theory of gravitation have been extensively considered in the past years, in connection to both cosmology and quantum gravity. Higher-curvature and higher-derivative gravity theories constitute the main examples…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Alessio Belenchia , Marco Letizia , Stefano Liberati , Eolo Di Casola

An introduction into the fundamental quests addressed in space missions is given. These quests are the exploration of the relativistic gravitational field, the Universality of Free Fall, the Universality of the Gravitational Redshift, Local…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Claus Laemmerzahl

We consider models of Extended Gravity and in particular, generic models containing scalar-tensor and higher-order curvature terms, as well as a model derived from noncommutative spectral geometry. Studying, in the weak-field approximation,…

General Relativity and Quantum Cosmology · Physics 2015-02-12 S. Capozziello , G. Lambiase , M. Sakellariadou , An. Stabile , Ar. Stabile

This paper presents a novel approach for localising a GPS (Global Positioning System)-denied Unmanned Aerial Vehicle (UAV) with the aid of a GPS-equipped UAV in three-dimensional space. The GPS-equipped UAV makes discrete-time broadcasts of…

Robotics · Computer Science 2024-10-24 James Russell , Mengbin Ye , Brian D. O. Anderson , Hatem Hmam , Peter Sarunic

We present a general method which can be used for geometrical and physical interpretation of an arbitrary spacetime in four or any higher number of dimensions. It is based on the systematic analysis of relative motion of free test…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Jiri Podolsky , Robert Svarc

Some of the assumptions of cosmology, as based on the simplest version of General Relativity, are discussed. It is argued that by slight modifications of standard gravitation theory, our notion of the sources of gravity {the right hand side…

General Relativity and Quantum Cosmology · Physics 2016-11-26 Adolfo Toloza , Jorge Zanelli

It is shown here that a dynamical Planck mass can drive the scale factor of the universe to accelerate. The negative pressure which drives the cosmic acceleration is identified with the unusual kinetic energy density of the Planck field. No…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Janna Levin

Future weak lensing surveys will directly probe the density fluctuation in the universe. Recent studies have shown how the statistics of the weak lensing convergence field is related to the statistics of collapsed objects. Extending earlier…

Astrophysics · Physics 2008-11-26 Dipak Munshi