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V. V. a. a. P. P. C. C. r. r. Z. Z. r. r. s. s. O. O. Y. Y. o. o. X. X. u t. u n. m. m. m. F g. F g. F g. F g. F g. F g. M. M. M. r. r. r. V. F net. P. F g. m. Z. Z. r. r. m. O. O. Y. Y. X. X. V. F net. F g. P. m. Z. Z. r. r. O. O.

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  1. 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

  2. m m m Fg Fg Fg Fg Fg Fg M M M r r r

  3. V Fnet P Fg m Z Z r r m O O Y Y X X

  4. V Fnet Fg P m Z Z r r O O m Y Y X X

  5. V Fnet P m Z r O Y X r Z Z’ Moving frame O O ’ Y Y’ X X’ Inertial frame

  6. Fg m r m M M rm rM Z Z Z’ Z’ O O Y Y Y’ Y’ X X X’ X’

  7. 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

  8. Earth axis of rotation z’ P rrel Z z Greenish meridian y o y’ x Y  Equator X θg Λ x’

  9. 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

  10. B rB b  r O f r+dr vr v v  = /2  Apse line f f ra rp

  11. S/C Perigee  f

  12. Line of nodes Perigee f  Ellipse focus Periapsis P f Latus rectum

  13. Earth’s north polar axis e Z S/C Perigee i  v h r  Earth’s equatorial plane Y Ascending node X   Node line

  14. v Semilatus rectum  v vr r Periapse f

  15. Asymptote Asymptote Vacant orbit  M  b    Apse line P F C A F’ Empty focus rp a a |ra| II I

  16. 1 b O f 2 ae a

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