Help with Orbital Mechanics: First Post

Click For Summary
SUMMARY

This discussion focuses on calculating specific angular momentum and other orbital mechanics parameters for a satellite using position (R) and velocity (V) vectors. The specific angular momentum is defined as the cross product of the position vector (R) and the velocity vector (V), divided by mass. Key calculations include determining the satellite's inclination, ascending node vector, and right ascension of the ascending node. The discussion emphasizes the importance of understanding the underlying principles and formulas involved in these calculations.

PREREQUISITES
  • Understanding of R and V vectors in orbital mechanics
  • Familiarity with angular momentum concepts
  • Knowledge of Keplerian orbital elements
  • Basic proficiency in vector mathematics
NEXT STEPS
  • Study the calculation of specific angular momentum using R and V vectors
  • Learn how to derive Keplerian orbital elements from state vectors
  • Explore the Wikipedia page on orbital state vectors for additional insights
  • Review relevant sections in your textbook on orbital mechanics for detailed explanations
USEFUL FOR

Students in aerospace engineering, space studies, or anyone interested in understanding the fundamentals of orbital mechanics and satellite dynamics.

Cghnasa
Messages
1
Reaction score
0
First post here, I'm a student in a BS in Space Studies program and I'm having a little trouble.

I have

R vectors = rI rJ rK
V vectors= vI vJ vK

( I'm not putting in numbers to avoid someone doing my homework for me)

I am having a hard time wraping my brain around getting from that to

a. What is the specific angular momentum of the satellite?
b. What is the satellite's inclination?
c. Calculate the ascending node vector.
d. What is the spacecraft 's right ascension of the ascending node?

Can someone show me how to figure these out and tell me why?
I think by biggest problem is that I want to know why I need to plug this number into that spot in the formula.

Thanks for your help!
 
Astronomy news on Phys.org
Angular momentum is just r×p, where p is the linear momentum vector, p=mv. "Specific" in this case means "divided by mass". Specific angular momentum is thus angular momentum divided by mass, or just r×v.

As for computing Keplerian orbital elements given a state vector, your textbook is the best bet. The specific angular momentum is key in computing several of those elements. If your textbook is inscrutable, perhaps this wikipedia page and the links on it will help: http://en.wikipedia.org/wiki/Orbital_state_vectors.
 

Similar threads

Graduate N-Body inputs from Keplerian Orbits
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Computing osculating orbital elements
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Changing the ISS's orbital inclination to match the Moon
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad I need some support, please, for a gravity assist analysis
  • · Replies 86 ·
3
Replies
86
Views
9K
Undergrad Seeking "simple" orbital path planning for game development
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Plotting the orbits of the planets
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Conundrum of Solving True Anomaly in Binary Orbits: A Scientist's Dilemma
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Position and Velocity in Heliocentric Ecliptic Coordinates
  • · Replies 3 ·
Replies
3
Views
5K
Graduate How Do You Calculate the Correct Launch Window for an Inclined Orbit Around Io?
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Mathematical Proof of Kepler's First Law of Orbits
  • · Replies 5 ·
Replies
5
Views
4K