Question

If the distance of Earth from the sun were half the present value, how many days will make one year?

Answer 1

$\huge\underline\orange{\mathcal Answer}$

$\large{\boxed{\mathcal 129\:Days}}$

$\huge\orange{\mathcal Solution}$

Use Kepler's Third Law :-

$\huge{\boxed{\mathcal {T}^{2}={a}^{3}}}$

Where T = Orbital Period in years

a = Semi major axis

$\large{\mathcal {T}^{2}={0.5}^{3}}$

$\large{\mathcal T={\sqrt{0.125}}}$

$\large{\mathcal T=0.3535yrs}$

$\huge{\boxed{\mathcal Approx. 129\:Days}}$

$\huge\orange{\mathcal Hope\:It\:Helps!!!}$

Answer 2

Explanation:

Where T = Orbital Period in years

a = Semi major axis

$\large{\mathcal {T}^{2}={0.5}^{3}}$T

2

=0.5

3

$\large{\mathcal T={\sqrt{0.125}}}$T=

0.125

$\large{\mathcal T=0.3535yrs}$T=0.3535yrs.