Advertisements
Advertisements
प्रश्न
State Kepler’s three laws.
उत्तर
- Law of orbits: Each planet revolves moves around the Sun in an elliptical orbit with the Sun at one of the foci of the ellipse.
- Law of area: The radial vector line joining the Sun to a planet sweeps equal areas in equal intervals of time.
- Law of period: The square of the time period of revolution of a planet around the Sun in its elliptical orbit is directly proportional to the cube of the semi-major axis of the ellipse.
T2 α a3
`"T"^2/"a"^3` = constant
APPEARS IN
संबंधित प्रश्न
The value of acceleration due to gravity is maximum at ________.
According to Kepler’s second law, the radial vector to a planet from the Sun sweeps out equal areas in equal intervals of time. This law is a consequence of ___________.
Explain how Newton verified his law of gravitation.
Assume that you are in another solar system and provided with the set of data given below consisting of the planets’ semi-major axes and time periods. Can you infer the relation connecting semi-major axis and time period?
| Planet (imaginary) | Time period (T) (in year) | Semi-major axis (a) (in AU) |
| Kurinji | 2 | 8 |
| Mullai | 3 | 18 |
| Marutham | 4 | 32 |
| Neithal | 5 | 50 |
| Paalai | 6 | 72 |
If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?
Suppose unknowingly you wrote the universal gravitational constant value as G = 6.67 × 1011. instead of the correct value, G = 6.67 × 10−11, what is the acceleration due to gravity g' for this incorrect G? According to this new acceleration due to gravity, what will be your weight W'?
The escape velocity of a body depends upon mass as ______
The time period of a satellite revolving around the earth in a given orbit is 7 hours. If the radius of the orbit is increased to three times its previous value, then the approximate new time period of the satellite will be ______.
The mass density of a spherical galaxy varies as `"K"/"r"` over a large distance 'r' from its center. In that region, a small star is in a circular orbit of radius R. Then the period of revolution, T depends on R as :
Four identical particles of mass M are located at the corners of a square of side 'a'. What should be their speed if each of them revolves under the influence of the other's gravitational field in a circular orbit circumscribing the square?
