orbitsnerd
Oct30-09, 12:48 AM
1. The problem statement, all variables and given/known data
Prove that:
r=a(cos E-e)(ihat,xi)+(sqrt(a*p)) *sin E (ihat,eta)
2. Relevant equations
E=eccentric anomaly
e=eccentricity
3. The attempt at a solution
Rotational matrices come into play here, but I'm not sure to what extent. alpha=beta*gamma*delta, with their respective matrices.
This appears to have no 3rd component on it (only xi and eta).
I have all of the equations for E, e, p, a, theta, and so on to substitute in for the proof.
How is the rotational matrix involved?
Prove that:
r=a(cos E-e)(ihat,xi)+(sqrt(a*p)) *sin E (ihat,eta)
2. Relevant equations
E=eccentric anomaly
e=eccentricity
3. The attempt at a solution
Rotational matrices come into play here, but I'm not sure to what extent. alpha=beta*gamma*delta, with their respective matrices.
This appears to have no 3rd component on it (only xi and eta).
I have all of the equations for E, e, p, a, theta, and so on to substitute in for the proof.
How is the rotational matrix involved?