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We explore new opportunities for solar physics that could be realized by future missions providing sustained observations from vantage points away from the Sun-Earth line. These include observations from the far side of the Sun, at high…

An accurate forecast of flare and CME initiation requires precise measurements of the magnetic energy build up and release in the active regions of the solar atmosphere. We designed a new space weather mission that performs such…

An external reference system suitable for deep space navigation can be defined by fast spinning and strongly magnetized neutron stars, called pulsars. Their beamed periodic signals have timing stabilities comparable to atomic clocks and…

High Energy Astrophysical Phenomena · Physics 2013-11-21 Werner Becker , Mike G. Bernhardt , Axel Jessner

The Earth, Mars, Sun, Jupiter system allows for a sensitive test of the strong equivalence principle (SEP) which is qualitatively different from that provided by Lunar Laser Ranging. Using analytic and numerical methods we demonstrate that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John D. Anderson , Mark Gross , Kenneth L. Nordtvedt , Slava G. Turyshev

We discuss the possibility of an autonomous navigation system for spacecraft that is based on pulsar timing data. Pulsars are rapidly rotating neutron stars that are observable as variable celestial sources of electromagnetic radiation.…

High Energy Astrophysical Phenomena · Physics 2012-05-04 Mike Georg Bernhardt , Werner Becker , Tobias Prinz , Ferdinand Maximilian Breithuth , Ulrich Walter

A relativistic deep space positioning system has been proposed using four or more pulsars with stable repetition rates. (Each pulsar emits pulses at a fixed repetition period in its rest frame.) The positioning system uses the fact that an…

General Relativity and Quantum Cosmology · Physics 2011-12-09 Darius Bunandar , Scott A. Caveny , Richard A. Matzner

The Photogravitational Restricted Three Body Problem with oblateness has been studied to obtain halo orbits around the Lagrangian points $L_1$ and $L_2$ of the Sun-Earth system in which the Sun is taken as radiating and the Earth as an…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Dhwani Sheth , Thomas V. O

A general approach to the problem of positioning by means of pulsars or other pulsating sources located at infinity is described. The counting of the pulses for a set of different sources whose positions in the sky and periods are assumed…

General Relativity and Quantum Cosmology · Physics 2015-05-14 A. Tartaglia

The theory of relativistic {\em location systems} is sketched. An interesting class of these systems is that of relativistic {\em positioning systems,} which consists in sets of four clocks broadcasting their proper time. Among them, the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bartolomé Coll

The POLAR Investigation of the Sun (POLARIS) mission uses a combination of a gravity assist and solar sail propulsion to place a spacecraft in a 0.48 AU circular orbit around the Sun with an inclination of 75 degrees with respect to solar…

We introduce an operational approach to the use of pulsating sources, located at spatial infinity, for defining a relativistic positioning and navigation system, based on the use of four-dimensional bases of null four-vectors, in flat…

General Relativity and Quantum Cosmology · Physics 2011-03-04 Angelo Tartaglia , Matteo Luca Ruggiero , Emiliano Capolongo

Global navigation satellite systems use appropriate satellite constellations to get the coordinates of an user -close to Earth- in an almost inertial reference system. We have simulated both GPS and GALILEO constellations. Uncertainties in…

General Relativity and Quantum Cosmology · Physics 2014-04-03 Neus Puchades , Diego Sáez

The four-spacecraft formation is essential for measurements of various physical fields. The use of this formation on substantially elliptical heliocentric Kepler orbits allows measuring gradients of gravitation field in Solar system. The…

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

It is well known that, from the Newtonian point of view, the Lagrangian point $L_4$ in the circular restricted three body is stable if $\mu< \frac{1}{18}(9-\sqrt{19})\approx 0.03852$. In this paper we will provide a formula that allows us…

Earth and Planetary Astrophysics · Physics 2016-05-17 Oscar M. Perdomo

The paper discusses the optimal conguration of one or more ring lasers to be used for measuring the general relativistic effects of the rotation of the earth, as manifested on the surface of the planet. The analysis is focused on devices…

General Relativity and Quantum Cosmology · Physics 2017-02-16 Angelo Tartaglia , Angela Di Virgilio , Jacopo Belfi , Nicolò Beverini , Matteo Luca Ruggiero

We study the effect of the radiation parameter in the location, stability and orbital dynamics in the Lagrange configuration of the restricted four-body problem when one of the primaries is a radiating body. The equations of motion for the…

Chaotic Dynamics · Physics 2020-06-22 J. E. Osorio-Vargas , F. L. Dubeibe , Guillermo A. González

The difference in travel time of corotating and counter-rotating light waves in the field of a central massive and spinning body is studied. The corrections to the special relativistic formula are worked out in a Kerr field. Estimation of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Tartaglia

Using recent data obtained by Advanced Composition Explorer (ACE) the pumping scale of the magnetic field gradients of the solar wind plasma has been calculated. This pumping scale is found to be equal to 24h $\pm$ 2h. The ACE spacecraft…

Chaotic Dynamics · Physics 2007-05-23 A. Bershadskii

A local positional system (LPS) is proposed, in which particles are launched at given velocities, and a sensor system measures the trajectory of particles in the platform frame. These measurements allow us to restore the position and…

Atomic Physics · Physics 2022-01-26 B. Dubetsky