1 / 74

Satellites

Satellites. Universal Gravitational Constant Force due to Gravity Centripetal Force. F g = mg. Mass of the earth. F g = mg F g = G mm e r 2. Mass of the earth. F g = mg F g = G mm e r 2 mg = G mm e r 2. Mass of the earth. F g = mg

tamekah-fitzgerald
Download Presentation

Satellites

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Satellites Universal Gravitational Constant Force due to Gravity Centripetal Force

  2. Fg = mg Mass of the earth

  3. Fg = mg Fg = Gmme r2 Mass of the earth

  4. Fg = mg Fg = Gmme r2 mg = G mme r2 Mass of the earth

  5. Fg = mg Fg = Gmme r2 mg = G mme r2 g = G me r2 Mass of the earth

  6. Fg = mg Fg = Gmme r2 mg = G mme r2 g = G me r2 gr2 = me G 9.8m/s2(6.38e6m)2=me 6.67e-11N m2/kg2 Mass of the earth

  7. Fg = mg Fg = Gmme r2 mg = G mme r2 g = G me r2 gr2 = me G 9.8m/s2(6.38e6m)2=me 6.67e-11N m2/kg2 Mass of the earth

  8. Fg = mg Fg = Gmme r2 mg = G mme r2 g = G me r2 gr2 = me G 9.8m/s2(6.38e6m)2=me 6.67e-11N m2/kg2 5.98e24= me Mass of the earth

  9. Fc= mv2 r Velocity of the moon with respect to the earth

  10. Fc= mv2 r Fg = Gmme r2 Velocity of the moon with respect to the earth

  11. Fc= mv2 r Fg = Gmme r2 mv2 = G mme r r2 Velocity of the moon with respect to the earth

  12. Fc= mv2 r Fg = Gmme r2 mv2 = G mme r r2 v2 = G me r r2 Velocity of the moon with respect to the earth

  13. Fc= mv2 r Fg = Gmme r2 mv2 = G mme r r2 v2 = G me r r2 v2 = G me r Velocity of the moon with respect to the earth

  14. Fc= mv2 r Fg = Gmme r2 mv2 = G mme r r2 v2 = G me r r2 v2 = G me r v= 6.67e-11(5.98e24kg) 3.84e8m Velocity of the moon with respect to the earth

  15. Fc= mv2 r Fg = Gmme r2 mv2 = G mme r r2 v2 = G me r r2 v2 = G me r v= 6.67e-11(5.98e24kg) 3.84e8m v=1019m/s Velocity of the moon with respect to the earth

  16. Geostationary Satellites

  17. Geostationary Satellities • Rotate around the earth in 24hr

  18. Geostationary Satellities • Rotate around the earth in 24hr • Therefore • t=

  19. Geostationary Satellities • Rotate around the earth in 24hr • Therefore t=24hr(60min)(60sec)=86400s

  20. Geostationary Satellities • Rotate around the earth in 24hr • Therefore t=24hr(60min)(60sec)=86400s • v= 2 P r • t

  21. Geostationary Satellities • Rotate around the earth in 24hr • Therefore t=24hr(60min)(60sec)=86400s • v= 2 P r Fg=Fc • t

  22. v=2 P r t Geostationary Satellite

  23. v=2 P r t v=2 P r 86400s Geostationary Satellite

  24. v=2 P r t v=2 P r 86400s Fc= mv2 r Geostationary Satellite

  25. v=2 P r t v=2 P r 86400s Fc= mv2 r Fg = Gmme r2 Geostationary Satellite

  26. v=2 P r t v=2 P r 86400s Fc= mv2 r Fg = Gmme r2 mv2 = G mme r r2 Geostationary Satellite

  27. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  28. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  29. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  30. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  31. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  32. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  33. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  34. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  35. mv2 = G mme r r2 v2 = G me r r2 v2 = G me r (2 P r )2 = G me (86400)2 r Geostationary Satellite 4P2 r2 = G me (86400)2 r 4P2 r3 = Gme (86400)2 r3 = (86400s)2 G(5.98e24kg) 4P2 G=6.67x10-11Nm2/kg2 r = r =4.22e7m

  36. r3 = (86400s)2 G(5.98e24kg) 4P2 3 r= (86400s)2 (6.67e-11Nm2/kg2)(5.98e24kg) 4P2 Geostationary Satellite

  37. 3 r=(86400s)2 (6.67e11Nm2/kg2 (5.98e24kg) 4P2 r =4.22e7m Geostationary Satellite

  38. Geostationary Satellite velocity with respect to the earth • V= 2pr =2 p ( 4.22e7m) 86400s 86400s v=3069m/s

  39. Geostationary Satellite velocity with respect to the earth • V= 2pr =2 p ( 4.22e7m) 86400s 86400s v=3069m/s

  40. Geostationary Satellite velocity with respect to the earth • V= 2pr =2 p ( 4.22e7m) 86400s 86400s v=3069m/s

  41. Fc= mev2 r Velocity of the earth with respect to the sun

  42. Fc= mev2 r Fg = Gmems r2 Velocity of the earth with respect to the sun

  43. Fc= mev2 r Fg = Gmems r2 mev2 = G m e ms r r2 Velocity of the earth with respect to the sun

  44. Fc= mev2 r Fg = Gmems r2 mev2 = G m e ms r r2 v2 = G ms r r2 Velocity of the earth with respect to the sun

  45. Fc= mev2 r Fg = Gmems r2 mev2 = G m e ms r r2 v2 = G ms r r2 v2 = G ms r Velocity of the earth with respect to the sun

  46. Fc= mev2 r Fg = Gmems r2 mev2 = G m e ms r r2 v2 = G ms r r2 v2 = G ms r v= 6.67e-11(1.99e30kg) 1.51e11m Velocity of the earth with respect to the sun

  47. Fc= mev2 r Fg = Gmems r2 mev2 = G m e ms r r2 v2 = G ms r r2 v2 = G ms r v= 6.67e-11(1.99e30kg) 1.51e11m v=29648 m/s Velocity of the earth with respect to the sun

  48. Fc= mmv2 r Fg = Gmmms r2 mmv2 = G m m ms r r2 v2 = G ms r r2 v2 = G ms r v= 6.67e-11(1.99e30kg) 1.51e11m v=29648 m/s Velocity of the moon with respect to the sun

  49. Fc= mgv2 r Fg = Gmgms r2 mgv2 = G m g ms r r2 v2 = G ms r r2 v2 = G ms r v= 6.67e-11(1.99e30kg) 1.51e11m v=29648 m/s Velocity of the Geostationary Satellite with respect to the sun

  50. Bipolar Star System Two stars 8x1010m apart rotate about a point 4x1010 m from each other in a circular path in 12.6 years. The two stars have the same mass. What is the velocity of the stars? What is the mass of the stars?

More Related