• 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
Halliday-ch15
Halliday-ch15

Chapter 21 Magnetic forces and magnetic fields
Chapter 21 Magnetic forces and magnetic fields

... produces a force per unit length of 2 x 10-7 N/m for separation of 1 m ...
Word - Structured Independent Learning
Word - Structured Independent Learning

Newtons Laws Part 1b - student
Newtons Laws Part 1b - student

... two objects.  Field forces- force that can exist between two objects even in the absence of physical contact.  E.g. gravity, electric forces  Objects may be in contact, they just don’t have to be. ...
Motion - Evangel University
Motion - Evangel University

Chapter5ReviewProblem
Chapter5ReviewProblem

... 1. A person is twirling a ball in a vertical circle with the center of rotation at his side, 2 meters above the ground. If the length of the string holding the ball is 1meter and the time for one revolution is 0.67s and the mass of the ball is 100 g… What is the maximum force on the string? Where do ...
Forces Review - Turning Point
Forces Review - Turning Point

Circular Motion / Gravitation Note
Circular Motion / Gravitation Note

Chapter 12 Section 2 Notes - School District of La Crosse
Chapter 12 Section 2 Notes - School District of La Crosse

Chapter 10-Forces - Solon City Schools
Chapter 10-Forces - Solon City Schools

... As the force applied to an object increases, the acceleration increases. ...
Word format
Word format

Monday, March 2, 2009
Monday, March 2, 2009

... Dr. Jaehoon Yu ...
January 2004
January 2004

... A particle of mass m and charge q moves at a constant, nonrelativistic speed |u| in a circle of radius a. The plane of the orbit coincides with the x-y plane This motion is caused by a plane circularly polarized electromagnetic wave, which propagates in the z-direction. At any moment of time the mag ...
2.1 Speed and constant velocity.
2.1 Speed and constant velocity.

... Newton’s first Law: Unless an outside force is acting on in, an object at rest remains at rest, and an object in motion remains in motion. The at rest part is kind of obvious, my pencil does not suddenly fly across my desk unless I push it. If I push my coffee cup across the table it comes to a sto ...
Ph211_CH6_worksheet
Ph211_CH6_worksheet

... b. If the road design is banked, what is the minimum steepness (angle of incline for the bank) required to keep cars safely on the road at 15.6 m/s? For simplicity, neglect any friction between tire and road. ...
Rendezvous In Space - MathInScience.info.
Rendezvous In Space - MathInScience.info.

Chapter 5
Chapter 5

Recitation Ch 4-1
Recitation Ch 4-1

... The stopping distance is proportional to the square of the initial speed. 4-34 A factory worker pushes horizontally on a 250 N crate with a force of 75 N on a horizontal rough floor. A 135 N crate rests on top of the one being pushed and moves along with it. Make a free-body diagram of each crate if ...
Unit A: Kinematics Exam
Unit A: Kinematics Exam

... When talking about vertical circular motion we often refer to scenarios dealing with roller coasters or a bucket swinging Things to remember: - Gravity will always act downwards at the same force - Normal force will always be perpendicular from its surface - Tension will always be towards the center ...
Exercise of Mechanics Set 4 (A) --- Kinetics of a Particle ---
Exercise of Mechanics Set 4 (A) --- Kinetics of a Particle ---

Teaching the Kepler Laws for Freshmen
Teaching the Kepler Laws for Freshmen

... Kepler’s second law (motion is planar and equal areas are swept out in equal times) is an easy consequence of the conservation of angular momentum L = r 9 p, and holds in greater generality for any central force field. All this is explained well by Newton in Propositions 1 and 2. On the other hand, ...
F = ma. F = G m1m2 R2 g = 9.8
F = ma. F = G m1m2 R2 g = 9.8

Lecture 7.Kinds_of_F..
Lecture 7.Kinds_of_F..

Slide 1
Slide 1

... Below the particle, the induced and external magnetic fields repel one another to create a downward force. The result of a charged particle going through a magnetic field: particle will be deflected by a force which is perpendicular to both the original direction of the particle's motion and the ext ...
Test 2 Review Test 2 Review_9
Test 2 Review Test 2 Review_9

... result on the same mass if the net force is quadrupled (4 times the push)? (10) ____________ A net force acts on an object that causes an acceleration of 4 m/s2. What acceleration will result from the same force of F on an object with half the mass? (11) ___________ A net force acts on an object tha ...
< 1 ... 302 303 304 305 306 307 308 309 310 ... 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