Tendency to oscillate at certain frequencies

Newton’sPrincipia

In this seventh and final volume the letters are divided into two quite distinct groups. The first group begins with the remaining letters of the main chronological sequence written during the closing years of Newton's life, and then proceeds to those few letters to which there is no assignable date with any certainty. The second group of letters, placed in Appendix I, contains corrections and additions to the letters printed in the earlier volumes of the Correspondence. A genealogical table is added to Appendix II to help the reader through the intricacies of Newton's family tree. Even after the creative power of his genius had deserted him, Newton retained to the very end of his long life the characteristic clarity of his thought. Few of Newton's letters in this volume may justly be described as scientific. The relative inactivity of the Mint meant that, although he apparently delegated few of his responsibilities to others, Newton's concerns there were no onerous. Thus it is not surprising that in the last nine years of his life (the period covered in this volume), and particularly from 1725 onwards, there was a decrease in Newton's output of letters; but those which he did write remain as lucid as ever.

The Correspondence of Isaac Newton

Analysis of 1389 measurements, accumulated between 1970 and 1974 of echo delays of laser signals transmitted from Earth and reflected from cube corners on the Moon show gravitational binding energy to contribute equally to Earth’s inertial and passive gravitational masses to within the estimated uncertainty of 1.5%. The corresponding restriction on the Eddington-Robertson parameters is 4β - ϒ - 3 = -0.001 ± 0.015. Combination with other results, as if independent, yields β = 1.003 ± 0.005 and ϒ = 1.008 ± 0.008, in accord with general relativity.

Verification of the Principle of Equivalence for Massive Bodies

An analysis of six years of lunar-laser-ranging data gives a zero amplitude for the Nordtvedt term in the earth-moon distance yielding the Nordtvedt parameter eta = 0.00 plus or minus 0.03. Thus, earth's gravitational self-energy contributes equally, plus or minus 3%, to its inertial mass and passive gravitational mass. At the 70% confidence level this result is only consistent with the Brans-Dicke theory for omega greater than 29. We obtain the absolute value of beta - 1 less than about 0.02 to 0.05 for five-parameter parametrized post-Newtonian theories of gravitation with energy-momentum conservation.

New Test of the Equivalence Principle from Lunar Laser Ranging

Opticks, or a Treatise of the Reflexions, Refractions, Inflexions and Colours of Light: Also Two Treatises of the Species and Magnitude of Curvilinear Figures

Newton’sPrincipia

References

The Correspondence of Isaac Newton

Verification of the Principle of Equivalence for Massive Bodies

New Test of the Equivalence Principle from Lunar Laser Ranging

Opticks, or a Treatise of the Reflexions, Refractions, Inflexions and Colours of Light: Also Two Treatises of the Species and Magnitude of Curvilinear Figures

Hydrodynamica, sive, de viribus et motibus fluidorum commentarii. Opus academicum ab auctore, dum Petropoli ageret, congestum

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