Orbits Flashcards
1
Q
At the perigee and apogee, what components does v have?
A
Only tangential so no angle
2
Q
Force in circular motion?
A
F=mv^2/r
3
Q
Total energy of an orbit equation?
A
E=1/2mv^2 + l^2/2mr^2 + v(r)
4
Q
Total energy of a v(r)=-k/r orbit?
A
Etot = -k/(r_1+r_2)
5
Q
How to find total energy of a v(r)=-k/r orbit?
A
Find E at r1 and E at r2 and then solve E1=E2 for l an sub back into E
6
Q
Energy of new orbit for a radial impulse?
A
E = 1/2m(v_0^2 + u^2) - GMn/r_0 = -GMm/2a
7
Q
Energy of new orbit for a tangential impulse?
A
E = 1/2m(v_0 ± u)^2 - GMm/r_0 = -GMm/2a
