Sistema de Transformacion de Sistemas Geodésicos

 

Uastmbk fm Vrkcsi`rbkeaõc fm Uastmbks Jm`fásae`s-b Jm`fásae`s-bát`f` át`f` fm B`h`fmcsgy-Lkfmgks B`h`fmcsgy-Lkfmgks Bktâks Ukkvmfrk Kedurrk

UAUVMBK FM V\KCUI@\BKEA@C FM UAUVMBKU JM@FÁUAE@U B@FMH@ B@H@FMCUGQ-LKFMGKU

Hk trkcsi`rbkeaõc fm trms sastmbks fm e``rfmckfks e`ci`rbms, sm kphaek mc pr`ems`s fm rmfuear fkt`s fm bmfaea`cms JCUU k `tr` sastmbk W; R, mc mstm eks` sm rmfuem k hk trksi`rbkeaõc fm bmfaea`cms trafabmcsa`ckhms k uc sastmbk h`ekh. Mstm b`fmh` pmrbatm trkcsi`rbkr e``rfmckfks rmimrafks kh sastmbk jh`lkh k e``rfmckfks h`ekhms, e`c h` eukh sm pumfm trklknkr mc ekrt`jrkiâk qum sm mceumctrk rmimrafk k uc sastmbk h`ekh utahazkcf` bmfaea`cms mimetukfks mc uc sastmbk jh`lkh. Um fmlm tmcmr hk prmekueaõc qum hks rmfms s`c e`csastmctms e`csastmctms mctrm sa y e`csafmrkr qum mh iket`r fm msekhk ms ajukh mc t`fks hks farmeea`cms.

Mh b`fmh` mhaback hk khtk e`rrmhkeaõc qum mxastm mctrm h`s pkrëbmtr`s bmfakctm hk rmfueeaõc fm h`s puct`s afáctae`s k su emctr` fm jrkvmfkf. Hk meukeaõc fm trkcsi`rbkeaõc mstë fkfk p`r W

| | 2 | | + |∉∉∉∉∉|| + |;+;+ ; + ;+|   ̍  

 

TH, QH, ^H 2 E``rfmckfks H`ekhms @ltmcafks p`r trkcsi`rbkeaõc T, Q, ^

2 Vrkshkea`cms mc mh sastmbk

;+U 2 Iket`r fm msekhk \x, \y, \z 2 \`tkea`cms fm h`s mnms mc mh sastmbk

  ̍̍  ̍ ̍   2  ∛   ̍  2  ∛   ̍  2  ∛  

 2 E``rfmckfks Jh`lkhms bmc`s su emctr` fm jrkvmfkf (e``rfmckfks pr`bmfa` mc mh sastmbk jh`lkh)

  2 e``rfmckfk pr`bmfa` mc mh sastmbk jh`lkh (Tjp)  2 e``rfmckfk pr`bmfa` mc mh sastmbk jh`lkh (Qjp)

 2 e``rfmckfk pr`bmfa` mc mh sastmbk jh`lkh (^jp)

@ltmcamcf` hks meukea`cms fmh sastmbk fm bktraems, sm pumfmc ekheuhkr hks e``rfmckfks trkcsi`rbkfks fmh sastmbk jh`lkh kh sastmbk h`ekh>

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Uastmbk fm Vrkcsi`rbkeaõc fm Uastmbks Jm`fásae`s-b Jm`fásae`s-bát`f` át`f` fm B`h`fmcsgy-Lkfmgks B`h`fmcsgy-Lkfmgks Bktâks Ukkvmfrk Kedurrk

THa 2 Tjp +T+(;+U)*(Tja-Tjp)  ―\z*((Qja-Qjp) +\y*(^ja-^jp) QHa 2 Qjp +Q + \z*(Tja-Tjp) +(;+U)*(Qja-Qjp) ― \x*(^ja-^jp) ^Ha 2 ^jp + ^ ― \y*(Taj ― Tjp) + \x*(Qja ―Qjp) + (;+U)*(^ja-^jp)

 Kjrupkcf`  Kjrupkc f` hks vkraklhms vkraklhms k ekheuhkr ekheuhkr tmcmb`s> tmcmb`s> Tja-Tjp 2 T‑  Qja-Qjp 2 Q‑  ^ja ― ^jp 2 ^‑ 

∉∉   |;? ?; ?? ?‼‼ ?‼‼ ‼‼| ∉   | |  ? ? ? ‼ ‼ ? ‼     *

2

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Mc mh eks` fm tmcmr c puct`s e`bucms mc kbl`s sastmbks jm`fásae`s pkrk trkcsi`rbkr, hks Meukea`cms fm E`cfaea`cms qumfkc fm hk sajuamctm i`rbk>

  ?;? ?;; ;?? ‼;?‼‼;< ‼; ??‼