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What are the advantages of polar orbiting satellites?

Important Questions on Gravitation

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Physics>Mechanics>Gravitation>Earth Satellites

The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

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Physics>Mechanics>Gravitation>Earth Satellites

A geostationary satellite orbits around the earth in a circular orbit of radius

36000 km

. Then, the time period of a sky satellite orbiting a few

100 km

above the earth's surface

(R = 64000 km)

will approximately be

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Physics>Mechanics>Gravitation>Earth Satellites

A satellite is launched to a distance

r

from the centre of the earth to have a circular orbit around the earth. Its orbital velocity to maintain this orbit is (mass of the earth as

M_{E}

)

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Physics>Mechanics>Gravitation>Earth Satellites

A person jumps from the

5^{th}

storey of a building with load on his head. The weight experienced by him before reaching the earth will be

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Physics>Mechanics>Gravitation>Earth Satellites

A test particle is moving in a circular orbit in the gravitational field produced by a mass density

ρ (r) = \frac{K}{r^{2}} .

Identify the current relation between the radius

R

of the particle’s orbit and its period

T :

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Physics>Mechanics>Gravitation>Earth Satellites

Two satellites

A

and

B

are revolving with critical velocities

v_{A}

and

v_{B}

around the earth, in circular orbits of radii

R

and

2 R

respectively. The ratio

\frac{v_{A}}{v_{B}}

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Physics>Mechanics>Gravitation>Earth Satellites

A planet is moving in a circular orbit. It completes

2

revolutions in

360 days

. What is its angular frequency?

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Physics>Mechanics>Gravitation>Earth Satellites

A geostationary satellite is orbiting around an arbitrary planet

P

at a height of

11 R

above the surface of

P

R

being the radius of

P

. The time period of another satellite in hours at a height of

2 R

from the surface of

P

is ________ has the time period of

24 hours .

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Physics>Mechanics>Gravitation>Earth Satellites

A spaceship orbits around a planet at a height of

20 k m

from its surface. Assuming that only gravitational field of the planet acts on the spaceship, what will be the number of complete revolutions made by the spaceship in

24

hours around the planet?
[Given: Mass of planet

= 8 \times 10^{22} k g

,
Radius of planet

= 2 \times 10^{6} m,

Gravitational constant

G = 6.67 \times 10^{- 11} N m^{2} / k g^{2}

]

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Physics>Mechanics>Gravitation>Earth Satellites

If the distance between sun and earth is

d

, then the angular momentum of earth around the sun is proportional to

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Physics>Mechanics>Gravitation>Earth Satellites

Two satellites

A

and

B

of masses

200 kg

and

400 kg

are revolving round the earth at height of

600 km

and

1600 km

respectively. If

T_{A}

and

T_{B}

are the time periods of

A

and

B

respectively then the value of

T_{B} - T_{A}

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[ Given : radius of earth $= 6400 km,$ mass of earth $= 6 \times 10^{24} kg$ ]

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Physics>Mechanics>Gravitation>Earth Satellites

The relative uncertainty in the period of a satellite orbiting around the earth is

10^{- 2}

. If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is:

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Physics>Mechanics>Gravitation>Earth Satellites

Consider two satellites

S_{1}

and

S_{2}

with periods of revolution

1 hr

and

8 hr

respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite

S_{1}

to the angular velocity of satellite

S_{2}

is:

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Physics>Mechanics>Gravitation>Earth Satellites

Earth revolves round the sun in a circular orbit of radius

R

. The angular momentum of the revolving earth is directly proportional to

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Physics>Mechanics>Gravitation>Earth Satellites

A geostationary satellite is orbiting the earth at a height

6 R

above the surface of the earth, where

R

is the radius of the earth. The time period of another satellite at a height

(2.5 R)

from the surface of the earth is

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Physics>Mechanics>Gravitation>Earth Satellites

The planet Mars has two moons, if one of them has a period

7

hours,

30

minutes and an orbital radius of

9.0 \times 10^{3} km .

Find the mass of Mars.

\{

Given

\frac{4 π^{2}}{G} = 6 \times 10^{11} N^{- 1} m^{- 2} {kg}^{2}\}

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Physics>Mechanics>Gravitation>Earth Satellites

The time period of an earth satellite in circular orbit is independent of

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Physics>Mechanics>Gravitation>Earth Satellites

A body is moving in a low circular orbit about a planet of mass

M

and radius

R

. The radius of the orbit can be taken to be

R

itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is:

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Physics>Mechanics>Gravitation>Earth Satellites

A satellite is revolving in a circular orbit at a height

h

from the earth's surface (radius of earth

R

;

h << R

). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to (Neglect the effect of atmosphere.)

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Physics>Mechanics>Gravitation>Earth Satellites

The minimum number of geostationary satellites required for uninterrupted global coverage is

What are the advantages of polar orbiting satellites?

Important Questions on Gravitation

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