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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 g
_{h} - 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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