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Mar 30, 2010
Differential Geometry
Analysis of PDEs

The aim of this section is to show that the method used so far allows us to treat some other cases; in particular, we focus our attention on the differential inequality (18), that is,

Keller-Osserman type conditions for differential inequalities with …

The aim of this paper is to study the qualitative behaviour of non-negative entire solutions of certain differential inequalities involving gradient …
Aug 08, 2012
Space Physics

We investigated the possibility that the cosmological expansion may impact the orbital motion of a localized two-body system at first order in the Hubble parameter H.

Local cosmological effects of the order of H in the orbital motion of…

A two-body system hypothetically affected by an additional radial acceleration H v_r, where v_r is the radial velocity of the binary's proper orbital…
May 28, 2009
Space Physics

If and when other teams of astronomers will independently estimate their own corrections Δ˙ϖ with different ephemerides, it will be possible to fruitfully repeat all the tests presented here. In doing them we always used the formal errors in Δ˙ϖ re-…

Long-Range Models of Modified Gravity and Their Agreement with Solar …

Many long-range modifications of the Newtonian/Einsteinian standard laws of gravity have been proposed in the recent past to explain various celestia…
Nov 12, 2016
Statistical Mechanics

Topology of configuration space of mean-field phi^4 model by Morse …

In this paper we present the study of the topology of the equipotential hypersurfaces of configuration space of the mean-field phi^4 model. Our purpo…
May 07, 2010
Space Physics

Phenomenological constraints on Lemaitre-Tolman-Bondi cosmological …

We, first, analytically work out the long-term, i.e. averaged over one orbital revolution, perturbations on the orbit of a test particle moving in a …
Sep 05, 2018
Space Physics

The present-day best measurement of the geodetic precession has been obtained by continuously monitoring the motion of the Earth-Moon system in the field of the Sun with the Lunar Laser ranging technique; its relative accuracy is 9×10−4. In this pap…

Measuring the De Sitter precession with a new Earth's satellite to th…

The inclination $I$ of an Earth's satellite in polar orbit undergoes a secular De Sitter precession of $-7.6$ milliarcseconds per year for a suitable…
Jun 18, 2008
Space Physics

Classical and relativistic orbital motions around a mass-varying body

I calculate the classical effects induced by an isotropic mass loss of a body on the orbital motion of a test particle around it; the present analysi…
May 24, 2015
Space Physics

In this paper, we used the latest results from Solar System planetary ephemerides to study the impact of f(T) gravity. In particular, we focused on spherically symmetric solutions obtained for Lagrangians in the form f(T)=T+αTn. Since the case f(T)=…

Constraining f(T) gravity in the Solar System

In the framework of $f(T)$ theories of gravity, we solve the field equations for $f(T)=T+\alpha T^{n}$, in the weak-field approximation and for spher…
Jul 17, 2014
Space Physics

We have demonstrated that also the post-Newtonian gravitoelectric component of the static gravitational field of a non-rotating body can discriminate between opposite directions of motion for a pair of counter-revolving test particles moving along i…

A new general relativistic clock effect for counter-rotating test p…

It is known that, in the weak-field and slow-motion approximation of general relativity, the stationary component of the gravitational field of a rot…
Feb 27, 2013
Space Physics

A possible new test of general relativity with Juno

The expansion in multipoles of the gravitational potential of a rotating body affects the orbital motion of a test particle orbiting it with long-ter…
Nov 18, 2013
Space Physics

A flyby anomaly for Juno? Not from standard physics

An empirical formula recently appeared in the literature to explain the observed anomalies of about $\Delta\dot\rho\approx 1-10$ mm s$^{-1}$ in the g…
Aug 10, 2010
Space Physics

Long-term classical and general relativistic effects on the radial …

We analytically work out the cumulative, i.e. averaged over one orbital revolution, time variations of the radial velocity v_r of a typical S star or…
Feb 01, 2010
Geophysics
Space Physics

Gravitomagnetism and the Earth-Mercury range

We numerically work out the impact of the general relativistic Lense-Thirring effect on the Earth-Mercury range caused by the gravitomagnetic field o…
Sep 30, 2018
Space Physics

We analytically worked out the general relativistic gravitomagnetic long-term rates of change of the relevant Keplerian orbital elements of a test particle orbiting a primary M at distance r from it which, in turn, moves in the external spacetime de…

A general relativistic gravitomagnetic effect on the orbital motion o…

We study a general relativistic gravitomagnetic 3rd-body effect induced by the spin angular momentum ${\boldsymbol{S}}_\textrm{X}$ of a rotating mass…
May 08, 2007

An Entropy-Weighted Sum over Non-Perturbative Vacua

We discuss how, in a Universe restricted to the causal region connected to the observer, General Relativity implies the quantum nature of physical ph…
Jul 17, 2014
Space Physics

We analytically worked out the post-Keplerian corrections to some orbital periods which are degenerate in the purely Keplerian two-body scenario. We considered the Newtonian acceleration due to the oblateness J2 of the primary, and the post-Newtonia…

Post-Keplerian corrections to the orbital periods of a two-body syste…

The orbital motion of a binary system is characterized by various characteristic temporal intervals which, by definition, are different from each oth…
Feb 22, 2014
Geophysics
Space Physics

Here, the general expressions for the post-Newtonian gravitoelctric direct orbital shifts arising from eq. (4.1) are displayed for an arbitrary orientation of the primary’s spin axis. In this case, the inclination I does not necessarily refer to the…

Post-Newtonian direct and mixed orbital effects due to the oblateness…

The orbital dynamics of a test particle moving in the non-spherically symmetric field of a rotating oblate primary is impacted also by certain indire…
May 21, 2018
Space Physics

Is it possible to measure new general relativistic third-body effects…

Recently, Will calculated an additional contribution to the Mercury's precession of the longitude of perihelion $\varpi$ of the order of $\dot\varpi_…
Dec 16, 2015
Exactly Solvable and Integrable Systems

On the dispersionless Kadomtsev-Petviashvili equation with arbitrary …

We study the generalization of the dispersionless Kadomtsev - Petviashvili (dKP) equation in n+1 dimensions and with nonlinearity of degree m+1, a mo…
May 14, 2019
Space Physics

Classical and general relativistic post-Keplerian effects in binary …

We consider a binary system composed of a pulsar and a massive, fast rotating, highly distorted main sequence star as a potential scenario to dynamic…
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