• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Aging and Stiffness
Aging and Stiffness

... Movement Forces Figure reprinted from Marey, 1889. ...
Electrostatics - Coulomb`s Law
Electrostatics - Coulomb`s Law

07.01.2015 - Erwin Sitompul
07.01.2015 - Erwin Sitompul

Torque and Rotational Inertia Torque
Torque and Rotational Inertia Torque

... inertial, I. It accounts for how the mass of an extended object is distributed relative to the axis of rotation. For a point mass m connected to the axis of rotation by a massless rod with length r, I = mr2. Axis of rotation ...
Chapter 22 Three Dimensional Rotations and Gyroscopes
Chapter 22 Three Dimensional Rotations and Gyroscopes

Chapter 21 The Electric Field 1: Discrete Charge Distributions
Chapter 21 The Electric Field 1: Discrete Charge Distributions

香港考試局
香港考試局

... descending pan comes into contact with the plate when the two pans are at the same level. The motion of the system becomes simple harmonic until it comes to rest momentarily. With the contact point taken as the origin, find the equilibrium position and the angular frequency of the motion. (Assume th ...
Dear David Weber
Dear David Weber

Glossary
Glossary

... Magnitude: A scalar value having physical units. Modulus of elasticity: The proportional constant between stress and strain for material with linear elastic behavior: calculated as stress divided by strain. Modulus of elasticity can be interpreted as the slope of the stress-strain graph. It is usual ...
Chapter 10
Chapter 10

Forces
Forces

... the force of attraction–weaker as the inverse square of the distance between their centers. ...
pp\momentum - Dr. Robert MacKay
pp\momentum - Dr. Robert MacKay

... Elastic Collisions Bounce off without loss of energy if m1 <<< m2 and ...
Centripetal Acceleration and Centripetal Force
Centripetal Acceleration and Centripetal Force

... • The force of gravity causes the speed of an object in a vertical circular path to vary. The object accelerates on the downward portion of its circular path and decelerates on the upward portion of the circular path. • At the top and bottom of a vertical circular path, the weight and the normal for ...
(e) None of the above
(e) None of the above

... As a skier jumps off the end of the slope, the earth is spinning below her at about 1000 miles/hour. Why doesn't the jumper land in the next county? (a) the jumper aims herself in order to cancel the effect of the earth's rotation (b) since the earth pulls down on the jumper, the jumper pulls back e ...
Lecture Outline Chapter 12 Physics, 4th Edition James S. Walker
Lecture Outline Chapter 12 Physics, 4th Edition James S. Walker

Classical Mechanics
Classical Mechanics

... Suppose, the plasticine clay is formed into shapes and you take a still shot. After a few hours, you take another still shot, another after a few hours, and another and another and so on. The clay won’t move itself and when you play a movie out of these still shots, you will end up with a very borin ...
Newton`s Third Law 1.0
Newton`s Third Law 1.0

... Road pushes forward on Tires (explains how a car moves) Gas pushes forward on Rocket (explains how a jet moves) Table pushes up on Book Moon pulls up on Earth Nail pulls right on Magnet ...
6. Friction A) Overview B) Friction C) Kinetic Friction
6. Friction A) Overview B) Friction C) Kinetic Friction

... forces are omnipresent in our world. Indeed, pretty much all science prior to Galileo, focused on what was directly observed, much of that being dominated by friction. Galileo, in his description of free fall, and Newton in his first law, took as fundamental the more idealized description of motions ...
Slide 1
Slide 1

Newton`s Laws of Motion
Newton`s Laws of Motion

Notes for Mid
Notes for Mid

... 3) additional applications include the inclined plane problem which will be done below in the force section. ...
Chap04
Chap04

... If you push harder on an object, you have a greater effect on its motion. The direction in which force is exerted also matters. If you push the book to the right, the book moves to the right. The symbol F is a vector and represents the size and direction of a force, while F represents only the magni ...
Acceleration - The Science Queen
Acceleration - The Science Queen

... But there is a twist…. • Acceleration is INVERSELY related to the mass of the object. ...
Item #
Item #

... but Amy may exerts a larger force depending on how she pushes, you know, she can sort of bent down a little and pushes very hard on Jane and make Jane move back a lot.” How do you think about the two students’ reasoning? “Both Amy and Jane exert a force on each other but depending on how Amy pushes, ...
The Cause of Coriolis Force
The Cause of Coriolis Force

... gravitational field meets the gravitational field of neighbouring objects. This will result in a compression of the electron-positron sea on the windward side of the motion, and a rarefaction of the electron-positron sea on the leeward side of the motion. When a wire moves through a magnetic field a ...
< 1 ... 95 96 97 98 99 100 101 102 103 ... 446 >

Newton's theorem of revolving orbits



In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1 and 2). Newton applied his theorem to understanding the overall rotation of orbits (apsidal precession, Figure 3) that is observed for the Moon and planets. The term ""radial motion"" signifies the motion towards or away from the center of force, whereas the angular motion is perpendicular to the radial motion.Isaac Newton derived this theorem in Propositions 43–45 of Book I of his Philosophiæ Naturalis Principia Mathematica, first published in 1687. In Proposition 43, he showed that the added force must be a central force, one whose magnitude depends only upon the distance r between the particle and a point fixed in space (the center). In Proposition 44, he derived a formula for the force, showing that it was an inverse-cube force, one that varies as the inverse cube of r. In Proposition 45 Newton extended his theorem to arbitrary central forces by assuming that the particle moved in nearly circular orbit.As noted by astrophysicist Subrahmanyan Chandrasekhar in his 1995 commentary on Newton's Principia, this theorem remained largely unknown and undeveloped for over three centuries. Since 1997, the theorem has been studied by Donald Lynden-Bell and collaborators. Its first exact extension came in 2000 with the work of Mahomed and Vawda.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report