THE  DEFLECTION  OF  LIGHT  IN  THE  DYNAMIC  THEORY  OF  GRAVITY

IOANNIS  IRAKLIS  HARANAS

Department of Physics and Astronomy

York University, Toronto, Ontario, Canada

E-mail: ioannis@yorku.ca

Abstract. In a new theory of gravity called the dynamic theory, which is derived from thermodymical principles in a five-dimensional
space, the deflection of a light signal is calculated and compared to that of general relativity. This is achieved by using the dynamic
gravity line element which is the usual four-dimensional space-time element of Newtonian gravity modified by a negative inverse radial
exponential term. The dynamic theory of gravity predicts this modification of the original Newtonian potential by this exponential term.

Key words: dynamic theory of gravity – thermodynamical delay – general relativity.

 

 

 

COLORS  AND  HST  MORPHOLOGY  OF  EXTREMELY  RED  GALAXIES  AT  z > 1

NEDELIA  ANTONIA  POPESCU,  MARIAN  DORU  ŞURAN

Astronomical Institute of the Romanian Academy

Str. Cuţitul de Argint 5, RO-040557 Bucharest, Romania

E-mails: delia@aira.astro.ro, suran@aira.astro.ro

Abstract. Rich samples of Extremely Red Objects (EROs) are being determined in the fields RX J0848.6+4453 (z = 1.273) and 3C210 (z = 1.169),
using optical and near infrared photometric data (Stanford et al. 2002). These data are combined with HST morphological data (Stanford et al. 2002),
in order to discriminate between the two main classes of galaxies that form the EROs population: old, passive evolved ellipticals and dusty star forming
galaxies. We study the K-band galaxy number counts, the (I–K) and (J–K) color distributions, the surface density and the radial density profiles for EROs
and for the entire sample of galaxies in the mentioned fields. A 5 times increased surface density of EROs, selected with different multi-color criteria, is
observed in comparison with the density of such objects in the general field. The presence of an overdensity of galaxies with red colors in the field of the
3C210 radio galaxy, representing a possible cluster of galaxies, is revealed.

Key words: cosmology – elliptical galaxies – extremely red objects.

 

 

 

THE  DISTRIBUTION  FUNCTION  OF  THE  STARS VELOCITIES  IN  THE  NEIGHBOURHOOD  OF  THE  SUN

ADINA IONESCU

Faculty of Mathematics, University of Bucharest

Str. Academiei 14, Bucharest, Romania

E-mail: adi_2301@ yahoo.com

Abstract. The distribution function of the stars velocities and its development in Gram-Charlier series is deduced for stars situated in various volume
elements centered in the Sun. The study made in the system of coordinates in which the velocity components are independent has shown that the value
of the excess coefficient increases at once with the increase of the volume element and, implicitly, with the number of stars from the selection, due to the
statistical non-homogeneities of the stellar populations studied.

Key words: star velocity – distribution function – solar neighbourhood.

 

 

 

PHOTOMETRIC  OBSERVATIONS  OF  THE  ECLIPSING  BINARY  V376  AND

ALEXANDRU  DUMITRESCU1,  LUBOMIR  ILIEV2,  VALERIU  TUDOSE1

1Astronomical Institute of the Romanian Academy

Str. Cuţitul de Argint 5, RO-040557, Bucharest, Romania

E-mail: alex@aira.astro.ro, vtudose@aira.astro.ro

 

2 Institute of Astronomy of the Bulgarian Academy of Sciences

72 Tsarigradsko Shosse, BG-1784, Sofia, Bulgaria

E-mail: liliev@astro.bas.bg

Abstract. We present ground-based photoelectric observations of the newly discovered eclipsing binary V376 And. The observations were
carried out at Bucharest Observatory (
Romania) and Rozhen Observatory (Bulgaria). The light curves in BV colors, six times of minima and
a new ephemeris are presented.

Key words: photoelectric photometry – variable stars – eclipsing binary systems – V376 And.

 

 

 

SOLAR  CORONAL  ACTIVE  STRUCTURES. THEORETICAL  APPROACH  AND  INSTRUMENTATION

ADRIAN  SABIN  POPESCU

Astronomical Institute of the Romanian Academy

Str. Cuţitul de Argint 5, RO-040557 Bucharest, Romania

E-mail: sabinp@aira.astro.ro

Abstract. We propose a new method for the investigation of active phenomena in the Sun. We use the newest methods (self-similar particle
distribution, wavelet transformation, etc.) in our effort to understand the physics that stands behind spatial and temporal evolution of the active
phenomena from the solar corona (e.g., apparition and evolution of eruptions, eruptive prominences, “helmet”-type prominences). By using the
polarization theory and a theory originating in the O spectral-type stellar objects atmosphere description, we try to find the number of structures
(“blobs”) that are present at any instant in the solar corona (Brown et al. 1995). This number can prove to be a new mean of description and
prediction of the solar activity evolution through the solar cycle.

Key words: solar corona – polarization – active phenomena.

 

 

 

THE  TWO-BODY  PROBLEM  IN  THE POINT-MASS APPROXIMATION  FIELD.  V.  GLOBAL  FLOW

DUMITRU PRICOPI1, VASILE MIOC1, MAGDA STAVINSCHI1, MICHAEL BARBOSU2

1Astronomical Institute of the Romanian Academy

Str. Cuţitul de Argint 5, RO-040557 Bucharest, Romania

E-mails: dpricopi@aira.astro.ro, vmioc@aira.astro.ro, magda@aira.astro.ro

 

2SUNY Brockport, Department of Mathematics

Brockport, NY, 14420, USA

E-mail: mbarbosu@brockport.edu

Abstract. The only fields for which the correctness of the point-mass representation (Newton’s theorem) can be proved are those characterized
by potentials of the form A/r +Br2. After tackling various details of the two-body problem in such a field (collision, escape, equilibria, symmetries),
we complete the study by describing the global flow for all possible values of A and nonzero B, and of the energy level and angular momentum. We
find a rich set of phase (and physical) orbits, with many “exotic” features.

Key words: celestial mechanics – two-body problem – point-mass approximation.

 

 

 

SYMMETRIES  IN  THE  POPOVICI-MANEV  PHOTOGRAVITATIONAL  FIELD

MIRA-CRISTIANA  ANISIU 1,  VASILE  MIOC 2

1 T. Popoviciu Institute of Numerical Analysis

C. P. 68, RO-400110 Cluj-Napoca, Romania

E-mail: mira@math.ubbcluj.ro

 

2 Astronomical Institute of the Romanian Academy

Str. Cuţitul de Argint 5, RO-040557 Bucharest, Romania

E-mail: vmioc@aira.astro.ro

Abstract. The Popovici-Manev photogravitational field is generated by a Manev-type attraction force and the repelling radiative force
considered by Constantin Popovici. The equations of the two-body problem in this field are written as a system of first-order ODE, and
 the symmetries of the system are displayed. It is proved that the group of symmetries of the problem in either Cartesian or polar coordinates
is (a) a subgroup (with four elements) of the group of symmetries (with eight elements) of the two-body problem associated to a quasihomogeneous
potential; (b) isomorphic to Klein’s group. These properties hold also for collision-blow-up and infinity-blow-up McGehee-type coordinates. If we
apply Levi-Civita regularizing transformations, the vector field admits a group of symmetries with eight elements, but its subgroup which is physically
meaningful is again isomorphic to Klein’s group.

Key words: celestial mechanics – photogravitational models – symmetries.

 

 

 

THE  GENERALIZED  UNIVERSAL  KEPLER’S  EQUATION  AND  THE  HOMOTOPY  CONTINUATION  METHOD

MOHAMED ADEL SHARAF 1, MONA ABDULLAH BANAJAH 2, AISHA aBDU AL-SHAARY 2

1 Department of Astronomy, Faculty of Science, King Abdul Aziz University

Jeddah, Saudi Arabia

E-mail: sharaf_adel@hotmail.com

 

2 Department of Mathematics, Girls College of Education

Jeddah, Saudi Arabia

Abstract. We develop an iterative method of arbitrary positive convergence order to solve the generalized universal Kepler’s equation The method is
of dynamic nature in the sense that, on going from one iterative scheme to the subsequent one, only additional instruction is needed. Moreover, the method
does not need any a priori knowledge of the initial guess, a property that avoids the critical situations of divergent and very slowly convergent solutions
that can appear in other numerical methods depending on initial guess. The computational package for digital implementation of the method is given and
applied to some cases.

Key words: celestial mechanics – Kepler’s equation – iterative methods.

 

 

 

NOTE  ABOUT  THE  TRANSIT  OF  MERCURY  ON  7  MAY  2003  OBSERVED  IN  BUCHAREST

RADU  POPESCU,  ALIN  NEDELCU,  OCTAVIAN  BĂDESCU,  PETRE  POPESCU

Astronomical Institute of the Romanian Academy

Str. Cuţitul de Argint 5, RO-040557 Bucharest, Romania

E-mail: [pradu, nedelcu, octavian, petre]@aira.astro.ro

Abstract. The transit of a planet across the solar disk can be thought as a planetary eclipse. An observer from the Earth can see only transits
of Mercury and Venus. There are 13 transits of Mercury each century, on average. We observed in
Bucharest the transit on 7 May 2003 with
a Meade telescope endowed with a CCD camera. We determined the contacts and the daytime turbulence in the area.

Key words: Mercury’s transit – CCD observations.