Goudas, C. L.
Overview
Works:  15 works in 15 publications in 1 language and 17 library holdings 

Roles:  Author 
Classifications:  QB585, 
Publication Timeline
.
Most widely held works by
C. L Goudas
The shape of the moon as deduced from the orbiter determination of its gravitational field(
Book
)
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
Preliminary values of the lunar gravity field as obtained from an analysis of the tracking data of Lunar Orbiter 1 are used to express the basic features of the figure of the Moon. Some tentative conclusions are drawn regarding the homogeneity, the nonhydrostatic form, and the solidity of the lunar globe. (Author)
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
Preliminary values of the lunar gravity field as obtained from an analysis of the tracking data of Lunar Orbiter 1 are used to express the basic features of the figure of the Moon. Some tentative conclusions are drawn regarding the homogeneity, the nonhydrostatic form, and the solidity of the lunar globe. (Author)
Computers : applications in industry and management : proceedings of the international seminar; Patras, 29 July17 August,
1979(
Book
)
1 edition published in 1980 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1980 in English and held by 2 WorldCat member libraries worldwide
A CONTOUR MAP OF THE MOON(
Book
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
The lunar elevation data provided by SchrutkaRechtenstamm supplemented by similar data near the limbs provided by Davidson and Brooks, were used to determine the equation of surface of the Moon as a sum of spherical harmonics including terms up to the eighth order. This equation was used to construct a contour map of the Moon. The same work was repeated for data provided by Baldwin which also were supplemented by the same data by Davidson and Brooks. The two maps have some basic similarities. After improving the equation of surface derived from Schrutka's data in a way that a homogeneous Moon with this equation of surface would also satisfy the conditions, f = 0.633 (Koziel, 1964), beta = 0.0006267 (Jeffreys, 1959), gamma = 0.0002274 (Jeffreys, 1961), a third contour map which seems to be more realistic than the previous two is derived. (Author)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
The lunar elevation data provided by SchrutkaRechtenstamm supplemented by similar data near the limbs provided by Davidson and Brooks, were used to determine the equation of surface of the Moon as a sum of spherical harmonics including terms up to the eighth order. This equation was used to construct a contour map of the Moon. The same work was repeated for data provided by Baldwin which also were supplemented by the same data by Davidson and Brooks. The two maps have some basic similarities. After improving the equation of surface derived from Schrutka's data in a way that a homogeneous Moon with this equation of surface would also satisfy the conditions, f = 0.633 (Koziel, 1964), beta = 0.0006267 (Jeffreys, 1959), gamma = 0.0002274 (Jeffreys, 1961), a third contour map which seems to be more realistic than the previous two is derived. (Author)
Doubly symmetric orbits about the collinear lagrangian points(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The forms and stability of three families of periodic solutions in the threedimensional case of the Restricted Problem are discussed using the twopoint boundary value theory and computing the eigenvalues of the Jacobians of the solutions. It is found that stable members of low inclinations in the case of L2 and L3 indeed exist. The question of a possible new integral in the neighborhood of these points is discussed, together with the equivalent case of galactic motions. It is concluded that a new integral with a singlevalued gradient cannot exist unless its gradient is collinear to the gradient of the energy integral along all 'singular' closed solutions. 'Ordinary' solutions, on the other hand, are never found after extensive research by many investigators; and thus the above conclusion seems to be general. (Author)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The forms and stability of three families of periodic solutions in the threedimensional case of the Restricted Problem are discussed using the twopoint boundary value theory and computing the eigenvalues of the Jacobians of the solutions. It is found that stable members of low inclinations in the case of L2 and L3 indeed exist. The question of a possible new integral in the neighborhood of these points is discussed, together with the equivalent case of galactic motions. It is concluded that a new integral with a singlevalued gradient cannot exist unless its gradient is collinear to the gradient of the energy integral along all 'singular' closed solutions. 'Ordinary' solutions, on the other hand, are never found after extensive research by many investigators; and thus the above conclusion seems to be general. (Author)
Estimates of the zonal gravity harmonics of the moon(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The best figure data of the Moon are treated in order to obtain estimates of the zonal gravity harmonics up to order eight. An analysis of the first tracking data of Lunar Orbiter 1 indicated that the second, third and fourth zonal harmonics compare favorably with the values obtained on the basis of the figure, but there is no clue as to the reliability of the zonal harmonics given here of order higher than the fourth. (Author)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The best figure data of the Moon are treated in order to obtain estimates of the zonal gravity harmonics up to order eight. An analysis of the first tracking data of Lunar Orbiter 1 indicated that the second, third and fourth zonal harmonics compare favorably with the values obtained on the basis of the figure, but there is no clue as to the reliability of the zonal harmonics given here of order higher than the fourth. (Author)
A contour map based on the selenodetic control system of the aeronautical chart and information center of the u.s. air force(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The control system published in 1965 by the Aeronautical Chart and Information Center (ACIC) has recently been augmented by more than one hundred points, thus making it necessary to perform an analysis of the new enlarged system and construct the corresponding contour map which we present in this paper. This new map exhibits substantial consistence with the one constructed from only the 196 points of the original system, and appears to represent a stronger solution. (Author)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
The control system published in 1965 by the Aeronautical Chart and Information Center (ACIC) has recently been augmented by more than one hundred points, thus making it necessary to perform an analysis of the new enlarged system and construct the corresponding contour map which we present in this paper. This new map exhibits substantial consistence with the one constructed from only the 196 points of the original system, and appears to represent a stronger solution. (Author)
Moments of inertia and gravity field of the moon(
Book
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
The surface harmonics derived from an analysis of the data produced by SchrutkaRechtenstamm and Davidson or Brooks are shown to be in agreement with the observed values of the mechanical ellipticity f, and the quantity beta within the limits of the errors in the harmonics. The correct values of J sub 20 and J sub 22 are derived with the aid of the latest determinations of f and beta by Koziel and Jeffreys, respectively. Finally, the potential of the Moon is derived as a sum of solid harmonics including terms up to the fourth order, on the assumption that the Moon is a homogeneous body. (Author)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
The surface harmonics derived from an analysis of the data produced by SchrutkaRechtenstamm and Davidson or Brooks are shown to be in agreement with the observed values of the mechanical ellipticity f, and the quantity beta within the limits of the errors in the harmonics. The correct values of J sub 20 and J sub 22 are derived with the aid of the latest determinations of f and beta by Koziel and Jeffreys, respectively. Finally, the potential of the Moon is derived as a sum of solid harmonics including terms up to the fourth order, on the assumption that the Moon is a homogeneous body. (Author)
The selenodetic control system of the army map service(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
Values of the coefficients of the expansion into surface harmonics of the lunar surface as presented by the Selenodetic Control System of the Army Map Service are derived. Data for the Marginal Zone are taken from the maps of Watts and Hayn and the measurements of Davidson and Brooks, and the far lunar side is assumed to be symmetrical to the near one. It is found that the present results agree with those derived from the data of SchrutkaRechtenstamm and are close to the figures for a homogeneous Moon as far as the second zonal and sectorial terms are concerned. There is less agreement in the third surface harmonic and even less in the fourth. The results have little resemblance to those derived from Baldwin's data on exactly the same assumptions. It appears that at present the Selenodetic Control System of the Army Map Service should be rated as the best existing source, followed by the data of SchrutkaRechtenstamm. (Author)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
Values of the coefficients of the expansion into surface harmonics of the lunar surface as presented by the Selenodetic Control System of the Army Map Service are derived. Data for the Marginal Zone are taken from the maps of Watts and Hayn and the measurements of Davidson and Brooks, and the far lunar side is assumed to be symmetrical to the near one. It is found that the present results agree with those derived from the data of SchrutkaRechtenstamm and are close to the figures for a homogeneous Moon as far as the second zonal and sectorial terms are concerned. There is less agreement in the third surface harmonic and even less in the fourth. The results have little resemblance to those derived from Baldwin's data on exactly the same assumptions. It appears that at present the Selenodetic Control System of the Army Map Service should be rated as the best existing source, followed by the data of SchrutkaRechtenstamm. (Author)
The selenodetic control system of the aeronautical chart and information center of the u.s. air force(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
Values of the coefficients J sub ij and J' sub ij of the expansion into spherical harmonics of the surface of the Moon as this is presented by the Selenodetic Control System of the Aeronautical Chart and Information Center, (ACIC), of the U.S. Air Force, are derived. Data for the Marginal Zone are taken from the maps of Watts and Hayn and the measurements of Davidson and Brooks. It is found that the present values are in good agreement with those derived on the basis of the same data derived by SchrutkaRechtenstamm and the Army Map Service. The ACIC Control system approximates best the figure of the Moon as this is derived from the study of its physical libration on the assumption of homogeneity. (Author)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
Values of the coefficients J sub ij and J' sub ij of the expansion into spherical harmonics of the surface of the Moon as this is presented by the Selenodetic Control System of the Aeronautical Chart and Information Center, (ACIC), of the U.S. Air Force, are derived. Data for the Marginal Zone are taken from the maps of Watts and Hayn and the measurements of Davidson and Brooks. It is found that the present values are in good agreement with those derived on the basis of the same data derived by SchrutkaRechtenstamm and the Army Map Service. The ACIC Control system approximates best the figure of the Moon as this is derived from the study of its physical libration on the assumption of homogeneity. (Author)
Scientific papers submitted for the D. Sc. degree of the University of Manchester. by C. L Goudas(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
Development of the lunar topography into spherical harmonics, ii(
Book
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
Harmonic expansion of the hypsometric date by Baldwin and SchrutkaRechtenstamm for the shape of the Moon has been carried out with the aid of the Atlas computer of the University of Manchester in terms of tesseral harmonics in selenographic coordinates of orders up to the eighth. The results disclose a predominence of zonal harmonics particularly of the one of fourth order) over tesseral ones; but the rate of convergence of the respective expansion appears to be rather slow. (Author)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
Harmonic expansion of the hypsometric date by Baldwin and SchrutkaRechtenstamm for the shape of the Moon has been carried out with the aid of the Atlas computer of the University of Manchester in terms of tesseral harmonics in selenographic coordinates of orders up to the eighth. The results disclose a predominence of zonal harmonics particularly of the one of fourth order) over tesseral ones; but the rate of convergence of the respective expansion appears to be rather slow. (Author)
Development of the lunar topography into spherical harmonics, i(
Book
)
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
Numerical values of the coefficients J sub ij and J' sub ij of the expansion of the lunar topography into spherical harmonics are given. Terms up to the 8th order were considered and, therefore, 81 zonal and tesseral harmonics were included in this expansion. The basic data employed in the method of determining J sub ij and J' sub ij (j<i = 1, 2 ... 8) is that of the two independent variables leastsquare fitting. The usually employed method for determining J sub ij and J' sub ij with the aid of volume integrals over a sphere, analogous to the integrals of the Fourier expansions, is not applicable in this case, because sufficiently accurate data are available for less than onehalf of the lunar surface. Only 71% of SchrutkaRechtenstamm points are approximated by the expansion with an error less than the observational one. More than 25% of the remaining points exceed the corresponding observational errors by a few hundred metres. Finally the few points approximated with an accuracy bigger by 1 km or so, from the error of observation, correspond to very abrupt morphological anomalies of the lunar surface. The coefficients provide sufficient basis for the preparation of a contour map of the lunar surface. (Author)
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
Numerical values of the coefficients J sub ij and J' sub ij of the expansion of the lunar topography into spherical harmonics are given. Terms up to the 8th order were considered and, therefore, 81 zonal and tesseral harmonics were included in this expansion. The basic data employed in the method of determining J sub ij and J' sub ij (j<i = 1, 2 ... 8) is that of the two independent variables leastsquare fitting. The usually employed method for determining J sub ij and J' sub ij with the aid of volume integrals over a sphere, analogous to the integrals of the Fourier expansions, is not applicable in this case, because sufficiently accurate data are available for less than onehalf of the lunar surface. Only 71% of SchrutkaRechtenstamm points are approximated by the expansion with an error less than the observational one. More than 25% of the remaining points exceed the corresponding observational errors by a few hundred metres. Finally the few points approximated with an accuracy bigger by 1 km or so, from the error of observation, correspond to very abrupt morphological anomalies of the lunar surface. The coefficients provide sufficient basis for the preparation of a contour map of the lunar surface. (Author)
Note on the shape and internal structure of the moon(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
On the basis of the best measurements available to date, the assumption that the elevation of the lunar maria is systematically smaller than the elevation of the continents is shown herein to be unjustified. As a result, the figure of the Moon cannot be studied from the distribution of maria on its surface, as Lamar and McGann have suggested in their paper (in press, ICARUS, 4) discussed here. (Author)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
On the basis of the best measurements available to date, the assumption that the elevation of the lunar maria is systematically smaller than the elevation of the continents is shown herein to be unjustified. As a result, the figure of the Moon cannot be studied from the distribution of maria on its surface, as Lamar and McGann have suggested in their paper (in press, ICARUS, 4) discussed here. (Author)
On the third integral of the galaxy by
Constantine L Goudas(
Book
)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
It is shown here that the 'third integral' of the galaxy, whenever its constant is conserved, defines the same surface as the Hamiltonian, and thus does not constitute any new integral, but a function of the already known integral of energy. In particular, the 'third integral' and the Hamiltonian are found to possess collinear gradients, in accordance with Poincare's theorem concerning the characteristic exponents in systems with multiple integrals. (Author)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
It is shown here that the 'third integral' of the galaxy, whenever its constant is conserved, defines the same surface as the Hamiltonian, and thus does not constitute any new integral, but a function of the already known integral of energy. In particular, the 'third integral' and the Hamiltonian are found to possess collinear gradients, in accordance with Poincare's theorem concerning the characteristic exponents in systems with multiple integrals. (Author)
The Department of Defense Selenodetic Control System and the force function of the Moon by
Constantine L Goudas(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
The Figure of the Moon as defined by the DOD66 Selenodetic Control System is first studied. Then, using the derived equation for the surface and adopting the density law delta = delta sub c + alpha times (rho to the p power), the volume integrals relating the surface to the gravity harmonics are computed. (Author)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
The Figure of the Moon as defined by the DOD66 Selenodetic Control System is first studied. Then, using the derived equation for the surface and adopting the density law delta = delta sub c + alpha times (rho to the p power), the volume integrals relating the surface to the gravity harmonics are computed. (Author)
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
Associated Subjects
Languages