• 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
Honors Physics I - Neshaminy School District
Honors Physics I - Neshaminy School District

Chapter 7: Motion in a Circle
Chapter 7: Motion in a Circle

File
File

I. Development of the Virial Theorem
I. Development of the Virial Theorem

T072 Q13. Assume that a disk starts from rest and rotates with an
T072 Q13. Assume that a disk starts from rest and rotates with an

... Q13 The angular position of a particle is given as θ = 2 + t – t3 where θ is in rad and t is in s. The angular acceleration when the particle is momentarily at rest is (Ans: 3.5 rad/s2 clockwise) Q14 A disk of rotational inertia 5.0 kg m2 starts rotating from rest and accelerates with a constant ang ...
Question Title
Question Title

... Justification: When the block is stationary, a force less than 10 N will not cause the block to move because of the static friction force that ranges from 0 N to 10 N. As long as the block is stationary, the static friction must be equal and opposite to the applied force. As soon as the block begins ...
Work, power and energy
Work, power and energy

Forces between masses
Forces between masses

04_Testbank
04_Testbank

... 43) The allowed shapes for orbits under the force of gravity are A) ellipses only. B) ellipses and spirals. C) ellipses, parabolas, and hyperbolas. D) ellipses, spirals, and parabolas. E) spirals, circles, and squares. Answer: C 44) Each of the following lists two facts. Which pair can be used with ...
Lesson03 Newtons Second Law Worksheets
Lesson03 Newtons Second Law Worksheets

Momentum and Collisions
Momentum and Collisions

... What happens when there is a collision between objects? Momentum is conserved. The momentum just doesn’t go away, it is transferred between objects that collide. When two objects collide, the total momentum of both objects before the collision is the same after the collision as expressed in the foll ...
Chapter 11 Force and Newton`s Laws
Chapter 11 Force and Newton`s Laws

Chapter 3 Kinetics of Particles
Chapter 3 Kinetics of Particles

Newton`s Laws: Explaining Motion
Newton`s Laws: Explaining Motion

... similar form but radically different weights fall at virtually the same rate, contrary to Aristotle’s theory. Although Galileo may never have dropped objects from the Leaning Tower of Pisa, he did perform careful experiments with dropped objects and actively publicized his results. Galileo’s primary ...
circular motion - Van Buren Public Schools
circular motion - Van Buren Public Schools

FREE Sample Here
FREE Sample Here

Newton`s Second Law of Motion
Newton`s Second Law of Motion

Normal, Tension, and Other Examples of Forces
Normal, Tension, and Other Examples of Forces

Charged Particles are Prevented from Going
Charged Particles are Prevented from Going

charged particles are prevented from going faster than the speed of
charged particles are prevented from going faster than the speed of

Chapter 3 - Houston ISD
Chapter 3 - Houston ISD

... The difference between force and mass The origin of the The metric unit of force, the newton, relates force and motion. One newton equals newton 1 kilogram multiplied by 1 meter per second squared. This means that a force of one newton causes a 1-kilogram mass to have an acceleration of 1 m/sec2. In ...
Chapter 6
Chapter 6

5.3 Friction on level surface
5.3 Friction on level surface

... A 92 kg baseball players slides into second base. The coefficient of kinetic friction between the player and the ground is 0.61. A) What is the magnitude of the frictional force? If the player comes to rest after 1.2 seconds, what is his initial speed? ...
Preview Sample 2
Preview Sample 2

jeopardy final physics review
jeopardy final physics review

... A car has a mass of 80 kg and moves at a speed of 5 m/s. What is the kinetic energy? A: What is 1000 J? S2C06 Jeopardy Review ...
< 1 ... 70 71 72 73 74 75 76 77 78 ... 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