Book contents
- Frontmatter
- Contents
- Preface
- Chapter 1 INTRODUCTION TO THE MECHANICAL UNIVERSE (Program 1)
- Chapter 2 THE LAW OF FALLING BODIES (Program 2)
- Chapter 3 THE LANGUAGE OF NATURE: DERIVATIVES AND INTEGRALS
- Chapter 4 INERTIA
- Chapter 5 VECTORS
- Chapter 6 NEWTON'S LAWS AND EQUILIBRIUM
- Chapter 7 UNIVERSAL GRAVITATION AND CIRCULAR MOTION
- Chapter 8 FORCES
- Chapter 9 FORCES IN ACCELERATING REFERENCE FRAMES
- Chapter 10 ENERGY: CONSERVATION AND CONVERSION
- Chapter 11 THE CONSERVATION OF MOMENTUM
- Chapter 12 OSCILLATORY MOTION
- Chapter 13 ANGULAR MOMENTUM
- Chapter 14 ROTATIONAL DYNAMICS FOR RIGID BODIES
- Chapter 15 GYROSCOPES
- Chapter 16 KEPLER'S LAWS AND THE CONIC SECTIONS
- Chapter 17 SOLVING THE KEPLER PROBLEM
- Chapter 18 NAVIGATING IN SPACE
- Chapter 19 TEMPERATURE AND THE GAS LAWS
- Chapter 20 THE ENGINE OF NATURE
- Chapter 21 ENTROPY
- Chapter 22 THE QUEST FOR LOW TEMPERATURE
- Appendix A THE INTERNATIONAL SYSTEM OF UNITS
- Appendix B CONVERSION FACTORS
- Appendix C FORMULAS FROM ALGEBRA, GEOMETRY, AND TRIGONOMETRY
- Appendix D ASTRONOMICAL DATA
- Appendix E PHYSICAL CONSTANTS
- SELECTED BIBLIOGRAPHY
- Index
Chapter 7 - UNIVERSAL GRAVITATION AND CIRCULAR MOTION
Published online by Cambridge University Press: 05 August 2013
- Frontmatter
- Contents
- Preface
- Chapter 1 INTRODUCTION TO THE MECHANICAL UNIVERSE (Program 1)
- Chapter 2 THE LAW OF FALLING BODIES (Program 2)
- Chapter 3 THE LANGUAGE OF NATURE: DERIVATIVES AND INTEGRALS
- Chapter 4 INERTIA
- Chapter 5 VECTORS
- Chapter 6 NEWTON'S LAWS AND EQUILIBRIUM
- Chapter 7 UNIVERSAL GRAVITATION AND CIRCULAR MOTION
- Chapter 8 FORCES
- Chapter 9 FORCES IN ACCELERATING REFERENCE FRAMES
- Chapter 10 ENERGY: CONSERVATION AND CONVERSION
- Chapter 11 THE CONSERVATION OF MOMENTUM
- Chapter 12 OSCILLATORY MOTION
- Chapter 13 ANGULAR MOMENTUM
- Chapter 14 ROTATIONAL DYNAMICS FOR RIGID BODIES
- Chapter 15 GYROSCOPES
- Chapter 16 KEPLER'S LAWS AND THE CONIC SECTIONS
- Chapter 17 SOLVING THE KEPLER PROBLEM
- Chapter 18 NAVIGATING IN SPACE
- Chapter 19 TEMPERATURE AND THE GAS LAWS
- Chapter 20 THE ENGINE OF NATURE
- Chapter 21 ENTROPY
- Chapter 22 THE QUEST FOR LOW TEMPERATURE
- Appendix A THE INTERNATIONAL SYSTEM OF UNITS
- Appendix B CONVERSION FACTORS
- Appendix C FORMULAS FROM ALGEBRA, GEOMETRY, AND TRIGONOMETRY
- Appendix D ASTRONOMICAL DATA
- Appendix E PHYSICAL CONSTANTS
- SELECTED BIBLIOGRAPHY
- Index
Summary
Hitherto we have explained the phenomena of the heavens and of our sea by the power of gravity, but have not yet assigned the cause of this power. This is certain, that it must proceed from a cause that penetrates to the very centres of the sun and planets, without suffering the least diminution of its force; that operates not according to the quantity of the surfaces of the particles upon which it acts (as mechanical causes used to do), but according to the quantity of the solid matter which they contain, and propagates its virtue on all sides to immense distances, decreasing always as the inverse square of the distances.
Isaac Newton, Principia (1686)THE GENESIS OF AN IDEA
The year was 1665; the month was August; and England was besieged by bubonic plague. Isaac Newton, then a 23-year-old Cambridge University student, retired to the solitude of his family's farm in Lincolnshire until the plague subsided and the university reopened. Not given to inactivity, Newton composed 22 questions for himself ranging from geometric constructions to Galileo's new mechanics to Kepler's planetary laws. During the next 18 months, he immersed himself in the search for answers and along the way discovered calculus, the laws of motion, and the universal law of gravity.
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- Information
- The Mechanical UniverseMechanics and Heat, Advanced Edition, pp. 141 - 162Publisher: Cambridge University PressPrint publication year: 1986