Recent content by orbitsnerd

Awesome short cut. I now have my eigenvalues as: λ1=1, λ2=(1+√3)/(2√2) + [(1-√3)/(2√2)]i and λ3=(1-√3)/(2√2) + [(1+√3)/(2√2)]i I have issues finding the eigenvectors. I know you need to plug in the values of each λ back into the original matrix and solve for e1, e2 and e3. The imaginary...

Homework Statement matrix: 1/sqrt(2) i/sqrt(2) 0 -1/sqrt(2) i/sqrt(2) 0 0 0 1 Find eigen values and eigen vectors and determine if it is diagonalizable Homework Equations The matrix is unitary because...

I have to go off of that it is Earth even though the velocity doesn't seem to make sense I guess. :/ As for the relevant equations for line of sight/viewing geometry I have: central angle to the horizon=cos angle=re/re+h so at 240 km angle is 15.477 degrees and at 3670.9 km angle is 50.6...

Homework Statement A satellite is in a circular polar orbit 240 km altitude. When the satellite is over the South Pole the engine is fired to achieve a polar orbit that has apogee directly over the North Pole. After the impulsive burn an observer on the North Pole observes the satellite has...

yes, I guess I was and overlooked it. It was stated in 1910-1986, so 76 years. I can now find a and solve the problem. Thanks!

Homework Statement I am given Rp=.6AU and need to find the eccentricity. Homework Equations Rp=a(1-e) The Attempt at a Solution I can find what Halley's comet eccentricity is (0.967) but I need to actually calculate it. What is the equation I need? I know I need to know Ra, or a...

I was able to begin the problem (so I hope) this way: T=2Pi sqrt(a^3/mu) where a=299290 km e=1-(rp/a) so e=.7304 a=ra+rp/2 where ra=517900 km vp=sqrt((2mu/rp)-(2mu/rp+ra))=28.53 km/s I am using mu=musaturn=3,7931187e7 km^3/s^2. Is this this correct initial approach? I am still a bit...

Homework Statement A GEO spacecraft crosses the earth’s equatorial plane when its true anomaly is 30 deg. The eccentricity of the orbit is 0.1 and its initial inclination is 5 deg with respect to the equator. What minimum velocity increment is required to transfer this GEO to an...

Homework Statement On July 1, 2004, the Cassini spacecraft approached Saturn with hyperbolic excess velocity 5.5 km/s to swing by the planet at the closest approach distance rp = 80,680 km. Compute the impulsive ΔV required for a maneuver performed at the closest approach to Saturn to...