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Gravitation

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Newton’s Law of Gravitation

  • Statement, Explanation, Vector Form
  • Characteristics of Gravitational Force
  • Universality of the Law of Gravitation
  • Evidences Supporting the Law of Gravitation
  • Definition, Units and Dimensions of G
  • Principle of Superposition of Forces
  • Numerical Problems

Gravitational Field Intensity

  • Inertial Mass and its Characteristics
  • Gravitational Mass
  • Comparision of Inertial Mass and Gravitational Mass
  • Equivalence of Inertial Mass and Gravitational Mass
  • Gravitational Field
  • Gravitational Field Intensity
  • Expression of Gravitational Intensity
  • Gravitational Intensity Due to Earth at Different Points
  • Gravitational Intensity Due to Hollow Sphere
  • Numerical Problems

Gravitational Potential

  • Expression for Gravitational Potential
  • Characteristics of Gravitational Potential
  • Gravitational Potential Due to Earth at Different Points
  • Gravitational Potential Due to Hollow Sphere
  • Gravitational Potential Difference
  • Expression for Gravitational Potential Energy in Gravitational Field
  • Relation Between Gravitational Potential and Gravitational Intensity at a Point
  • Gravitational Potential Energy of a Body at a Height h.
  • Work Done in Raising a Body to a Height h
  • Gravitational Self Energy

Acceleration Due to Gravity

  • Weight of Body
  • Force of Gravitation
  • Expression for Acceleration Due to Gravity on the Surface of the Earth
  • Expression for Acceleration Due to Gravity at Height ‘h’ from the Surface of the Earth
  • Characteristics of Acceleration Due to Gravity
  • Relation Between g and gh
  • Numerical Problems

Variation in Acceleration Due to Gravity

  • Variation in Acceleration Due to Gravity Due to Shape of the Earth
  • Variation in Acceleration Due to Gravity Due to Latitude
  • Variation in Acceleration Due to Gravity Due to Altitude
  • Variation in Acceleration Due to Gravity Due to Depth
  • Numerical Problems

Keppler’s laws of Orbits of Planets

  • Keppler’s Law of Elliptical Orbits
  • Keppler’s Law of Equal Areas
  • Keppler’s Law of Period
  • Proof of Keppler’s Law of Equal Areas
  • Proof of Newton’s Law of Gravitation Using Keppler’s Law:

Numerical Problems on Keppler’s Laws

Artificial Satellites

  • Concept of Satellites
  • Types of Satellites
  • Projection of Satellite
  • Requirement of Multistage Rocket
  • Geostationary Satellites
  • Uses of satellites
  • Polar Satellite and its Advantages
  • Uses of Polar satellites

Critical Velocity of a Satellite

  • The Concept of Critical Velocity
  • The Expression for Critical Velocity of Satellite
  • Possibilities of Orbits of Satellite
  • Time Period for Critical Velocity of Satellite
  • Proof of Kepple’s Third Law of Planetary Motion

Numerical Problems on Critical Velocity – 01

Numerical Problems on Critical Velocity – 02

Binding Energy of Satellite

  • Binding Energy of Satellite Orbiting Around the Earth
  • Binding Energy of Satellite on the Surface Of the Earth
  • Numerical Problems

Escape Velocity

  • Concept of Escape Velocity
  • Expression for Escape Velocity
  • Expression of Escape Velocity in Terms of Acceleration Due to Gravity
  • Expression of Escape Velocity in Terms of Density of Material of Earth
  • Relation Between Escape Velocity and Critical Velocity Orbiting Very Close to Earth’s Surface
  • Numerical Problems
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