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lara31 [8.8K]
3 years ago
9

Two satellites, A and B are in different circular orbits

Physics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

The ratio of the orbital time periods of A and B is \frac{1}{2}

Solution:

As per the question:

The orbit of the two satellites is circular

Also,

Orbital speed of A is 2 times the orbital speed of B

v_{oA} = 2v_{oB}        (1)

Now, we know that the orbital speed of a satellite for circular orbits is given by:

v_{o} = \farc{2\piR}{T}

where

R = Radius of the orbit

Now,

For satellite A:

v_{oA} = \farc{2\piR}{T_{a}}

Using eqn (1):

2v_{oB} = \farc{2\piR}{T_{a}}           (2)

For satellite B:

v_{oB} = \farc{2\piR}{T_{b}}              (3)

Now, comparing eqn (2) and eqn (3):

\frac{T_{a}}{T_{b}} = \farc{1}{2}

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