physics-class-11-unit-08-chapter-07-natural-and-artificial-satellites-lecture-7-7-ggswfufppws

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Escape Velocity </primary>
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- Calculation of escape velocity using gravitational potential energy concept.

- Escapes away to infinity

- $\frac{1}{2}mv_{es}^2-\frac{GMm}{R_e} = 0$

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<footer style = "font-size: 18px"> $\rightarrow$ Natural and Artificial Satellites $\rightarrow$ <span style = "color:blue"> Escape Velocity </span> $\rightarrow$ Escape Velocity $\rightarrow$ Gravitation </footer>

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Equilibrium </primary>
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- Execute a simple harmonic motion.

- At middle point, the total force is equal to 0.

- Where the force is equal to 0 is a stable equilibrium position.

- Electrostatics does not give you a stable equilibrium.

- In gravitation, no stable equilibrium.
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<footer style = "font-size: 18px">Exercise $\rightarrow$ Exercise $\rightarrow$ <span style = "color:blue"> Equilibrium </span> $\rightarrow$ Second Law (Kepler's) $\rightarrow$ Second Law (Kepler's) </footer>

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Second Law (Kepler's) </primary>
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- Second law: conservation of angular momentum

- Let us say that you have the Sun and the planet is in a circular orbit.

- Kinetic energy T= Constant

- Gravitational potential energy V= Constant

- T+V= Constant

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<footer style = "font-size: 18px">Exercise $\rightarrow$ Equilibrium $\rightarrow$ <span style = "color:blue"> Second Law (Kepler's) </span> $\rightarrow$ Second Law (Kepler's) $\rightarrow$ Satellite Motion </footer>

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Geostationary satellite </primary>
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- The satellite goes around in an orbit at a distance d.

- We want to synchronize the period of the satellite with the period of the earth.

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<footer style = "font-size: 18px">Second Law (Kepler's) $\rightarrow$ Satellite Motion $\rightarrow$ <span style = "color:blue"> Geostationary satellite </span> $\rightarrow$ Geostationary satellite $\rightarrow$ Geostationary satellite </footer>

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Ionosphere </primary>
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- The uppermost part of the atmosphere is called ionosphere.

- Ionosphere reflects radio waves.

- It get reflected and it can reach various parts of the earth.

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<footer style = "font-size: 18px">Geostationary satellite $\rightarrow$ Geostationary satellite $\rightarrow$ <span style = "color:blue"> Ionosphere </span> $\rightarrow$ Polar Satellites $\rightarrow$ Weightlessness </footer>

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Polar Satellites </primary>
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- Polar satellite motion is from north-south poles.

- Low level satellites

- Able to monitor the weather.

-  It is useful for remote sensing.

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<footer style = "font-size: 18px">Geostationary satellite $\rightarrow$ Ionosphere $\rightarrow$ <span style = "color:blue"> Polar Satellites </span> $\rightarrow$ Weightlessness $\rightarrow$ Mars Orbit Mission </footer>

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Weightlessness </primary>
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- We have a spring mass system in an elevator.

- the potential energy is stored and then the bob executes a oscillatory motion.

- Now, remove the support, body has become weightless.

- mg $\rightarrow$ weight

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<footer style = "font-size: 18px">Ionosphere $\rightarrow$ Polar Satellites $\rightarrow$ <span style = "color:blue"> Weightlessness </span> $\rightarrow$ Mars Orbit Mission $\rightarrow$ Thank You </footer>

### <Success style="font-size:25px"> Natural And Artificial Satellites L-7 </Success>
### <primary style="font-size:24px"> Mars Orbit Mission </primary>
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- Once the body goes in free space, there are no external forces acting on it.

- It continues to move with uniform velocity.

- You burn the fuel so that backward thrust gives you the enough acceleration.

- Another way: acceleration is natural if you go round around the planet.

- Wait until you get as close to Mars as possible.

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<footer style = "font-size: 18px">Polar Satellites $\rightarrow$ Weightlessness $\rightarrow$ <span style = "color:blue"> Mars Orbit Mission </span> $\rightarrow$ Thank You $\rightarrow$  </footer>