• 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
Formative 1
Formative 1

Astronomy 110 Announcements: Goals for Today How do we
Astronomy 110 Announcements: Goals for Today How do we

Gravity and SHM Review Questions
Gravity and SHM Review Questions

Newtons laws notes
Newtons laws notes

Midterm 1 PHOTO ID SIT IN YOUR REQUIRED!
Midterm 1 PHOTO ID SIT IN YOUR REQUIRED!

... with sun at one focus. The straight line joining the planet and the sun sweeps out equal areas of space in equal amounts of time. What does this tell us about speeds of planets in different parts of their orbits? ...
1.2 Newtons 3 laws
1.2 Newtons 3 laws

... a drawing of all the forces acting on a body. It is helpful to isolate the body first by drawing a circle around it. All objects that cut the circle provide a contact force. Invisible forces that may be present are weight and friction. ...
4.1 The Concepts of Force and Mass
4.1 The Concepts of Force and Mass

... An object continues in a state of rest or in a state of motion at a constant velocity along a straight line, unless compelled to change that state by a net force. The net force is the vector sum of all the forces acting on an object. ...
Document
Document

... about 300 km above the surface. The period of the orbit is about 91 min. What is the acceleration of an astronaut in the Shuttle in the reference frame of the Earth? (The radius of the Earth is 6.4 x 106 m.) (a) 0 m/s2 (b) 8.9 m/s2 (c) 9.8 m/s2 ...
amanda`sNewton`s First Law
amanda`sNewton`s First Law

... being moved or, if the object is moving, to resist a change in speed or direction until an outside force acts on the object. ...
P5.28 (p.138)
P5.28 (p.138)

... Assume the elevator is near the Earth’s surface and that it is right-side up in the cartoon. ...
Laws of Motion Test Name
Laws of Motion Test Name

Ex. A 650 kg car accelerates at 4.0 m/s2 south. What is the net force
Ex. A 650 kg car accelerates at 4.0 m/s2 south. What is the net force

Mid Term Pre assessment
Mid Term Pre assessment

Halliday-ch13
Halliday-ch13

... 13.6: Gravitational Potential Energy The work done along each circular arc is zero, Path Independence because the direction of F is perpendicular to the arc at every point. Thus, W is the sum of only the works done by F along the three radial lengths. The gravitational force is a conservative force ...
Forces in One Direction
Forces in One Direction

... – Therefore velocity is affected – Therefore acceleration is affected ...
Gravitational interaction of extended objects
Gravitational interaction of extended objects

Lesson 3PhysClassAnswrs.cwk
Lesson 3PhysClassAnswrs.cwk

What is the normal force for a 500 kg object resting on a horizontal
What is the normal force for a 500 kg object resting on a horizontal

18 Lecture 18: Central forces and angular momentum
18 Lecture 18: Central forces and angular momentum

1204pdf - FSU High Energy Physics
1204pdf - FSU High Energy Physics

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

Newton’s Laws of Motion - Montville Township School District
Newton’s Laws of Motion - Montville Township School District

... Because of inertia, objects (including you) resist changes in their motion. When the car going 80 km/hour is stopped by the brick wall, your body keeps moving at 80 m/hour. ...
5 Motion under the Influence of a Central Force
5 Motion under the Influence of a Central Force

Slide 1
Slide 1

Newton`s Second Law F=ma
Newton`s Second Law F=ma

... second Law using vectors? Warm-up: •Make Entry for “Newton’s Second Law” in your TOC •Answer the following: Imagine you are running from zombies, and the only way you will escape is through a brick wall that is too tall to climb. Next to the wall are these tools to use to break the wall: ...
< 1 ... 416 417 418 419 420 421 422 423 424 ... 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