The position of a planet that a closest to and farthest from the sun are called its perihelion and aphelion respectively. We know that the Earth orbits around the Sun (as one focus) in an elliptical orbit with the perihelion distance of 1.47 x 10^8 km and the aphelion distance of 1.52 x 10^8 km. Find the Cartesian equation of the elliptical orbit. The image illustrates the elliptical orbit of the Earth around the Sun. The Sun is positioned slightly off-center within the ellipse.Key Points of the Diagram:1. **Sun**: Located near the center of the ellipse, representing its position in the solar system.2. **Earth**: Depicted at a point on the ellipse, showing its position in orbit.3. **Aphelion**: The point in Earth's orbit farthest from the Sun.4. **Perihelion**: The point in Earth's orbit closest to the Sun.The orbit is not a perfect circle but an ellipse, highlighting the variation in distance between the Earth and the Sun throughout the year.

Given perihelion distance a-c=1.47*108 Km aphelion distance a+c=1.52*108 Km

Answered: The position of a planet that a closest…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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The position of a planet that a closest to and farthest from the sun are called its
perihelion and aphelion respectively. We know that the Earth orbits around the Sun (as one focus) in an elliptical orbit with the perihelion distance of 1.47 x 10^8 km and the aphelion distance of 1.52 x 10^8 km.
Find the Cartesian equation of the elliptical orbit.

The image illustrates the elliptical orbit of the Earth around the Sun. The Sun is positioned slightly off-center within the ellipse.

Key Points of the Diagram:

1. **Sun**: Located near the center of the ellipse, representing its position in the solar system.

2. **Earth**: Depicted at a point on the ellipse, showing its position in orbit.

3. **Aphelion**: The point in Earth's orbit farthest from the Sun.

4. **Perihelion**: The point in Earth's orbit closest to the Sun.

The orbit is not a perfect circle but an ellipse, highlighting the variation in distance between the Earth and the Sun throughout the year.

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