Understanding the Meaning of 'p' in Equation: p^2 = (4pi^2)(a^3)/G(m1+m2)

  • Thread starter Thread starter aerogurl2
  • Start date Start date
Click For Summary
SUMMARY

The equation p^2 = (4pi^2)(a^3)/G(m1+m2) is a representation of Kepler's Third Law of planetary motion, where 'p' denotes the orbital period of a satellite. In this context, 'p' is not merely the distance between two objects but specifically the semi-major axis 'a' of the orbit plus the radius of the central body, such as Earth. Therefore, for a satellite 300 km above Earth's surface, 'p' would be the sum of 300 km and the Earth's radius, approximately 6371 km, resulting in a total of 6671 km.

PREREQUISITES
  • Understanding of Kepler's Laws of planetary motion
  • Familiarity with gravitational constant G
  • Knowledge of orbital mechanics
  • Basic mathematics involving algebraic equations
NEXT STEPS
  • Study Kepler's Laws in detail, focusing on their mathematical formulations
  • Learn about the gravitational constant G and its significance in orbital calculations
  • Explore the concept of semi-major axis in elliptical orbits
  • Investigate the effects of altitude on satellite orbits and their calculations
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in satellite dynamics and orbital mechanics will benefit from this discussion.

aerogurl2
Messages
34
Reaction score
0
hi, there's something that i don't understand in the following equation:

p^2 = (4pi^2)(a^3)/G(m1+m2)

is the p a distance measured from the center of the first object to the center of the second object? or is it just the distance between them, for example a satelitte dish is 300km above the Earth's surface, so would p be 300km or 300km+radius of earth?
 
Physics news on Phys.org
http://www.allrefer.com/kepler-s-laws-of-planetary-motion"
 
Last edited by a moderator:

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
Replies
4
Views
2K
Replies
10
Views
3K
Replies
4
Views
1K
Replies
37
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 97 ·
4
Replies
97
Views
16K
  • · Replies 13 ·
Replies
13
Views
7K
  • · Replies 12 ·
Replies
12
Views
7K
  • · Replies 3 ·
Replies
3
Views
6K