Question

If distance between earth and sun is become half and orbital speed remains same, then hom many days in a year become?

Answer 1

Answer on Question #44291 - Physics - Astronomy / Astrophysics

If distance between earth and sun is become half and orbital speed remains same, then how many days in a year become?

Solution

We have that the year is $T_0 = 365\frac{1}{4}$ days. If new distance between earth and sun $r_1 = \frac{1}{2} r_0$ is become half and orbital speed remains same $\nu_1 = \nu_0$ , we get that the year becomes

$$T _ {1} = T _ {0} \frac {r _ {1}}{v _ {1}} \frac {v _ {0}}{r _ {0}} = \frac {1}{2} T _ {0} = 1 8 2 \frac {5}{8} d a y s.$$

Answer:

$$T _ {1} = 1 8 2 \frac {5}{8} d a y s$$

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