Recent Results for the Moon’s Secular Acceleration and Their Implication for the Possible Variation of G in Dirac’s Large Number Hypothesis

1982 ◽  
pp. 361-366
Author(s):  
L. V. Morrison
1992 ◽  
Vol 152 ◽  
pp. 219-222 ◽  
Author(s):  
A. Vienne ◽  
J.M. Sarlat ◽  
L. Duriez

We explain the high values of the acceleration (≈ 2° cy−2) found in the longitude of Mimas by Kozai and Dourneau when they fit to observations their current theory of the Mimas' motion. In fact, we have found that very long-period terms are missing in these theories; their expansion in powers of t well agrees with the observed acceleration. Effects of tidal dissipation are far smaller and could be determined only after accounting of these long-period terms.


1972 ◽  
Vol 47 ◽  
pp. 395-401
Author(s):  
L. V. Morrison

Analyses of occultation timings show that periodic correction terms with semi-amplitude as great as 0.″18 arise from corrections required to the empirical constants of the Brown/Eckert theory. Using the atomic time-scale, some of the occultation data have been used to determine a correction of – 30 ± 16″/cy2 to Spencer Jones' value for the secular acceleration of the Moon. In the light of this correction, and previous determinations, attention is drawn to the possible weakness of Spencer Jones' value, which is not reflected in his quoted error of ± 1″/cy2. Further analyses of 50000 occultations observed since 1943 promise to reveal more accurately-determined corrections.


1985 ◽  
Vol 38 (4) ◽  
pp. 547 ◽  
Author(s):  
Yun-Kau Lau

In an attempt to reconcile the large number hypothesis (LNH) with Einstein's theory of gravitation, a tentative generalization of Einstein's field equations with time-dependent cosmological and gravitational constants is proposed. A cosmological model consistent with the LNH is deduced. The coupling formula of the cosmological constant with matter is found, and as a consequence, the time-dependent formulae of the cosmological constant and the mean matter density of the Universe at the present epoch are then found. Einstein's theory of gravitation, whether with a zero or nonzero cosmological constant, becomes a limiting case of the new generalized field equations after the early epoch.


1992 ◽  
Vol 135 ◽  
pp. 346-348 ◽  
Author(s):  
Natalia A. Shakht

AbstractA series of photographic observations spanning the interval 1962 – 1991 have been examined in a study of Lalande 21185, suspected to be a double or multiple object. The observed value of secular acceleration corresponds to the radial velocity of this star. The perturbations in proper motion with suspected period of 8 years have not been confirmed.


It is known that Hansen employed 12·8" for the value of the secular acceleration of the mean longitude of the Moon, instead of the value 6·18" deduced from theory, for the reason that the results of his theoretical development could not be brought by any smaller value into accord with the observations of the early solar eclipses and the later Greenwich observations. Later research has shown that these early solar eclipses can be as well represented by the theoretical value of the secular acceleration as by the empirical value employed by Hansen in his tables, and the present note will suffice to show that the more modern observations can also be represented by the theoretical value of the secular acceleration, thus serving to reconcile theory and observation.


2017 ◽  
Vol 270 ◽  
pp. 128-142 ◽  
Author(s):  
Anatoly Soloviev ◽  
Arnaud Chulliat ◽  
Shamil Bogoutdinov

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