Apogee & Perigee: What Does "a" Stand For?

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In summary, Apogee and Perigee are terms used in astronomy to describe the farthest and nearest points in an object's orbital path around another object. The "a" in Apogee and Perigee stands for "apsis," which is a Greek term meaning "orbit." They are calculated using Kepler's laws of planetary motion and can affect objects in orbit by changing the duration and stability of the orbit. These points can also change over time due to various factors, but can be predicted by scientists using mathematical models and observations.
  • #1
neiliam
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i know the equation for both, apogee=a(1+e) perigee=a(1-e). i know the e stands for eccentricity, but what does the a stand for? thanks.
 
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  • #2
Since the sum of the apogee and the perigee will give you the length of the major axis of the ellipse, consider a(1+e)+a(1-e)=2a.
So a is the length of the semi-major axis of the ellipse.

It's the same 'a' as in the equation for an ellipse:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
(if b<a).
 
  • #3
thank you.
 

1. What is Apogee and Perigee?

Apogee and Perigee are terms used in astronomy to describe the farthest and nearest points in an object's orbital path around another object.

2. What does the "a" stand for in Apogee and Perigee?

The "a" in Apogee and Perigee stands for "apsis," which is a Greek term meaning "orbit." It is used to denote the point in an object's orbit where it is either farthest or nearest to another object.

3. How are Apogee and Perigee calculated?

Apogee and Perigee are calculated using Kepler's laws of planetary motion. The distance between an object and its orbiting body is used to calculate the semi-major axis, or the average distance between the two objects. The apogee is then calculated as the point in the orbit where the distance between the two objects is the greatest, while the perigee is calculated as the point where the distance is the smallest.

4. How do Apogee and Perigee affect objects in orbit?

The difference between Apogee and Perigee can affect the orbit of an object in several ways. For example, if a satellite has a higher Apogee, it will take longer to complete one orbit around the Earth, while a lower Perigee means it will orbit the Earth faster. These differences in distance can also affect the stability and longevity of an object's orbit.

5. Can Apogee and Perigee change over time?

Yes, Apogee and Perigee can change over time due to various factors such as gravitational pull from other objects, atmospheric drag, and changes in the shape of the orbit. These changes can be calculated and predicted by scientists using mathematical models and observations.

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