the separation of the foci of an ellipse that describes a planet's orbit derermines
A eccentricity of the orbit
B period of the orbit
C size of the orbit
D all of the above.
I think it is A because the closer the foci, the more circular versus elliptical the orbit is.
Size is determined by the major axis. Period: the square of the period is equal to the cube of the semi-major axis.
The foci are only mentioned in regards to shape/eccentricity.
what do I look up to research this?
To research the topic, you can start by looking up the properties and characteristics of elliptical planetary orbits. Key terms you can search for include:
1. Kepler's laws of planetary motion: This will provide you with a general understanding of the governing principles behind planetary orbits.
2. Elliptical orbits: Research the characteristics of elliptical orbits and how they differ from circular orbits.
3. Eccentricity: Study the concept of eccentricity in relation to orbital shapes and how it is calculated in elliptical orbits.
4. Semi-major axis: Understand how the semi-major axis of an ellipse relates to the size of the orbit and how it is used in determining the period of the orbit.
By researching these topics, you will gather more in-depth knowledge about the separation of the foci of an ellipse and its impact on determining the eccentricity, period, and size of a planet's orbit.
To research the separation of the foci of an ellipse and its relationship to the characteristics of a planet's orbit, you can start by looking into the concept of Kepler's laws of planetary motion. Specifically, you can focus on the first law, also known as the law of ellipses, which states that the planets orbit the Sun in elliptical paths with the Sun at one of the foci.
To understand the relationship between the separation of the foci and the characteristics of the orbit, you can look for resources that explain Kepler's laws and the properties of ellipses. Books, articles, and online educational resources on astronomy, physics, or celestial mechanics would be helpful in your research.
Some recommended keywords to use for your search:
- Kepler's laws of planetary motion
- Elliptical orbits
- Foci of an ellipse
- Eccentricity of orbits
- Properties of elliptical orbits
- Planetary motion
- Celestial mechanics
By exploring these topics, you will find comprehensive information explaining the impact of foci separation on the eccentricity, size, and period of a planet's orbit, ultimately helping you determine the correct answer to your initial question.