160 likes | 279 Vues
Exploring concepts like inertial and moving frames, equatorial plane, nodes, apse lines, perigee, and orbits in celestial mechanics. Learn about Earth's rotation axis and orbital paths for spacecraft.
E N D
V V a a P P C C r r Z Z r r s s O O Y Y o o X X ut un
m m m Fg Fg Fg Fg Fg Fg M M M r r r
V Fnet P Fg m Z Z r r m O O Y Y X X
V Fnet Fg P m Z Z r r O O m Y Y X X
V Fnet P m Z r O Y X r Z Z’ Moving frame O O ’ Y Y’ X X’ Inertial frame
Fg m r m M M rm rM Z Z Z’ Z’ O O Y Y Y’ Y’ X X X’ X’
rrel r o ro O Q P Z Z k Moving frame Moving frame j z y X X i Y Y Inertial frame Inertial frame x
Earth axis of rotation z’ P rrel Z z Greenish meridian y o y’ x Y Equator X θg Λ x’
R1 Z O Y X m1 m1 m1 G F12 r r F21 RG m2 m2 m2 R2 v v vr m2 r m2 r m1 e m1
B rB b r O f r+dr vr v v = /2 Apse line f f ra rp
S/C Perigee f
Line of nodes Perigee f Ellipse focus Periapsis P f Latus rectum
Earth’s north polar axis e Z S/C Perigee i v h r Earth’s equatorial plane Y Ascending node X Node line
v Semilatus rectum v vr r Periapse f
Asymptote Asymptote Vacant orbit M b Apse line P F C A F’ Empty focus rp a a |ra| II I
1 b O f 2 ae a