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Definition of Spacing based on Spacing Reference Point, SRP

Definition of Spacing based on Spacing Reference Point, SRP. Presentation of a proposal for a generic definition of spacing to be used for ASAS spacing applications. Most of the work on a spacing definition has been performed by SAS within the frame of NUP I and NUP II.

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Definition of Spacing based on Spacing Reference Point, SRP

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  1. Definition of Spacing based onSpacing Reference Point, SRP Presentation of a proposal for a generic definition of spacing to be used for ASAS spacing applications. Most of the work on a spacing definition has been performed by SAS within the frame of NUP I and NUP II. Presented at the ASAS Thematic Network Workshop 07OCT 2003 by: Capt. Michael Agelii, representing Aviator System

  2. Need for a definition of spacing • Spacing is a defined distance between two aircraft denoted as Leader and Follower • In order to measure a distance between the leader and follower in space you must define along which line or curves in space the distance shall be measured. • The great circle track between two aircraft is a truly useful representation of spacing only in the special case when both aircraft are flying with the same track and in line. • In order to be able to use spacing operationally where aircraft frequently alter their track, we must broaden the definiton to encompass curves in space and track changes. • It is an advantage to convert the defined distance to time by using follower ground speed. Spacing Definition based on SRP

  3. Basic requirements on a definition of spacing • Common to all stakeholdersAll stakeholders must have the same definition of the spacing dist/time. • Operational functionalityFor maximum benefit spacing should be possible in as many flight situations as possible. • Generic PropertiesThe same generic definition should encompass: • ”All” ASAS spacing applications (C&P excluded) • Both distance and time definitions • ADS-B and TIS-B technical solutions Spacing Definition based on SRP

  4. Spacing only The SRP spacing definition does not provide separation!!! Spacing Definition based on SRP

  5. Spacing only The SRP spacing definition is a tool to enhance traffic flow!!! Spacing Definition based on SRP

  6. Basic Idea • Spacing Reference Point SRPUsed to derive the spacing distance Ss SRP F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  7. Basic Idea • Spacing Reference Point SRP (fixed)Used to derive the spacing distance Ss SRPf F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  8. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss SRPd F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  9. Basic Idea Let´s start with fixed SRP • Spacing Reference Point SRP (fixed)Used to derive the spacing distance Ss SRPf F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  10. Basic Idea • Spacing Reference Point SRP (fixed) Used to derive the spacing distance Ss SRPf F L W1 Ls = (L – W1 - SRP) Fs = (F – W1 - SRP) Ss = Fs - Ls Spacing Definition based on SRP

  11. Basic Idea F • Spacing Reference Point SRP (fixed) Used to derive the spacing distance Ss SRPf W1 L W2 W4 Ls = (L – W3 – W4 - SRP) Fs = (F – W1 - W2 – W3 – W4 - SRP) Ss = Fs - Ls W3 Spacing Definition based on SRP

  12. Basic Idea • Spacing Reference Point SRP (fixed) Used to derive the spacing distance Ss SRPf W1 L W2 W4 Ls = (L – W2 – W3 – W4 - SRP) Fs = (F – Y3 – W3 – W4 - SRP) Ss = Fs - Ls W3 F Y3 Spacing Definition based on SRP

  13. Link sequence Sequence determined by AMAN/Controller Spacing executed by indiviual aircraft/pilots Separation monitored by Controller SRP Spacing Definition based on SRP

  14. Basic Idea Let´s go on to dynamic SRP • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss SRPd F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  15. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  16. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  17. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss F L Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  18. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss F L L-track = 260 dgr F-track = 260 dgr Delta-track = 0 dgr Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Spacing Definition based on SRP

  19. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss F L L-track = 260 dgr F-track = 260 dgr Delta-track = 0 dgr Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls Standard rate turn = 3 dgr/sec = 180 dgr/60 sec Spacing Definition based on SRP

  20. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss L F 5 s L-track = 260 dgr F-track = 275 dgr Delta-track = 15 dgr Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls SRP = 5 sec ahead of target(based on Leader ground speed) Standard rate turn = 3 dgr/sec = 15 dgr/5 sec Spacing Definition based on SRP

  21. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss L 10 s L-track = 260 dgr F-track = 290 dgr Delta-track = 30 dgr F Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls SRP = 10 sec ahead of target Standard rate turn = 3 dgr/sec = 30 dgr/10 sec Spacing Definition based on SRP

  22. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss L 20 s L-track = 260 dgr F-track = 320 dgr Delta-track = 60 dgr F Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls SRP = 20 sec ahead of target Standard rate turn = 3 dgr/sec = 60 dgr/20 sec Spacing Definition based on SRP

  23. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss L L-track = 260 dgr F-track = 350 dgr Delta-track = 90 dgr 30 s Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls F SRP = 30 sec ahead of target Standard rate turn = 3 dgr/sec = 90 dgr/30 sec Spacing Definition based on SRP

  24. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss L L-track = 260 dgr F-track = 035 dgr Delta-track = 135 dgr 45 s Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls SRP = 45 sec ahead of target F Standard rate turn = 3 dgr/sec = 135 dgr/45 sec Spacing Definition based on SRP

  25. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss L L-track = 260 dgr F-track = 080 dgr Delta-track = 180 dgr 60 s F Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls SRP = 60 sec ahead of target Standard rate turn = 3 dgr/sec = 180 dgr/60 sec Spacing Definition based on SRP

  26. Basic Idea • Spacing Reference Point SRP (dynamic)Used to derive the spacing distance Ss L L-track = 260 dgr F-track = 080 dgr Delta-track = 180 dgr 60 s Ls = (L – SRP) Fs = (F – SRP) Ss = Fs - Ls SRP = 60 sec ahead of target F Standard rate turn = 3 dgr/sec = 180 dgr/60 sec Spacing Definition based on SRP

  27. 2T algorithm Let´s introduce curves • Two Turn distance algorithmUsed to derive the spacing distance Ss closer to real flight path L 60 s Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Ss = Fs - Ls F Spacing Definition based on SRP

  28. 2T algorithm • The ”Two Turn” distance algorithm has been developed in a thesis by mathematics student Robert Lundmark on assignment by SAS within the framework of NUP II. • The complete thesis can be downloaded from the NUP webside at:www.nup.nuDocuments/General Documents/sep-algo Spacing Definition based on SRP

  29. 2T algorithm • The shortest possible way to fly from follower position to leader position and end up in the same direction is at most via two turns and a straight line. Spacing Definition based on SRP

  30. 2T algorithm • The shortest possible way to fly from follower position to leader position and end up in the same direction is at most via two turns and a straight line. Leader position can of course be substituted by SRPd Spacing Definition based on SRP

  31. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  32. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  33. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  34. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  35. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  36. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  37. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  38. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  39. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  40. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  41. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  42. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  43. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  44. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  45. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  46. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  47. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  48. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  49. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

  50. 2T distance algorithm using SRPd Ls = (L – SRP) Fs = (F – 2T algorithm - SRP) Spacing = Fs - Ls + Spacing Definition based on SRP

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