Question

Suppose Earth's orbital motion around the Sun is suddenly stopped.What time the Earth will take to fall into the sun?No,spam pls​

Answer 1

About 65 days.

If the Earth happened to stop dead in its orbit, it would take about 65 days to plunge down into the sun, disappearing in a puff of plasma.

Answer 2

Answer:

Kepler's law applies to planetary orbits, whether they be of circular, or elliptical shape. It says that :

\frac{t \frac{2}{2} }{t \frac{1}{2} } = \frac{r \frac{2}{3} }{r \frac{1}{3} }

[/tex]

where T is the period of an orbit and R is its semi-major axis. The semi-major axis is the average of the planet's maximum and minimum distances from the sun.

Let the earth's mean radius be R1

This straight fall can be considered 1/2 of a degenerate elliptical orbit with major axis equal to R1

Its semi-major axis is :

$</p><p></p><p>\frac{r1}{2}</p><p></p><p></p><p></p><p>$

(the average of R1 and zero). Its period will be designated T^2

So:

$</p><p></p><p>\frac{t \frac{2}{2} }{t \frac{2}{1} } = \frac{( \frac{r1}{2} )^{3} }{r \frac{3}{1} } = ( \frac{1}{3} ) ^{3}</p><p>$

: . therefore,

=0.353 year, and the time to fall into the sun is the time to fall into the sun is ,64.52 days

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