How does the earth revolve around the sun?

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How does the earth revolve around the sun?

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Answer 1 · 2016-03-11T10:14:46

The path of revolution of the center E of the Earth, about the center S of the Sun, is an ellipse. S is a focus of this ellipse. Distance SE is governed by $S E = \frac{a (1 - e^{2})}{1 + e cos (θ)}$ $SE = (a(1-e^2))/(1+e cos(theta))$

Explanation:

$θ$ $theta$ is the inclination of SE to the initial line $θ = 0$ $theta=0$ .
Semi-major of the ellipse a = 149598262 km, nearly. The eccentricity of the ellipse e + 0.01671, nearly.

For one revolution, the period for $θ = 2 π$ $theta = 2pi$ and the time-period is 365.265363 days, nearly.

At $θ = 0$ $theta=0$ , SE is the minimum ( perihelion ) = $a (1 - e)$ $a(1-e)$ = 147.1 Million km, nearly. This happens around Jan 3.
At $θ = π$ $theta=pi$ , SE is the maximum (aphelion) = $a (1 + e)$ $a(1+e)$ = 152.1 Million km, nearly. This happens around July 2.
$θ > \frac{π}{2}$ $theta > pi/2$ , when SE = a. This is an end of the minor axis of the ellipse.

Importantly, S is away from the center C of the ellipse by CS = ae = 2.5 Million km, nearly.

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How does the earth revolve around the sun?

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