
anunadit trans-neptunion vastoo

khagolshastrat, anunadit trans-neptunion vastoo hii neptunes mean-motion aurbital anunadatil trans-neptunion vastoo (tii. aine. oo.) aahe. anunadit vastunche kakshiy kalavadhi heey nepchyoonchya kalavadhishi sadhya purnank sambandhat asatat, udaa.jee. 1: 2, 2: 3, ityadi. anunadit tii. aine. oo. ektar mukhya quiper pattyachya loksankhyecha bhag asoo shakatat kinwa adhik durchya vikhuralelya disk loksankhyecha bhag asoo shakatat.
vitaran.
hii aakruti dnyat trans-neptunion vastunche vitaran spasht karate. anunadit vastoo laal rangat rachalya jaatat.
neptunes kakshiy anunad ubhya pattyanni chinhankit kele jaatatah 1:1 heey nepchyunchi kaksha aanee tyachya trojanchi sthitee darshavate; 2h3 heey pluto aanee plutinochi kaksha darshavate; aanee 1:2,2:5, ityadi. anek lahan kutumbanchi nond qaraa. 2h3" kinwa "3h2" heey donhi padnam tii. aine. oo. sathee samaan anunad darshavtat. yaat konatihi sandigdhata nahee, kaaran vyakhyenusar, nepchyunpeksha tii. aine. oo. chey kalavadhi jaast asatat. tyacha vapar lekhak aanee sanshodhan kshetravar avalambun asato.
mool.
nepchyoonchya anunadanchya tapshilvar vishleshanatmak aanee sankhyatmak abhyasatoon asey disun aale aahe qee vastunmadhye urjechi tulanene achook shreni asane aavashyak aahe. jarr vastoocha ardh-pramukh aksh yaa arund shrenichya baher asel tarr kakshiy ghatak mothya pramanat badalat asatana kaksha astavyast hote. tii. aine. oo. chaa shodh lagatach, 10 takkyanhun adhik 2h3 anunadanmadhye aadhalale, jeey yadruchchik vitaranapasun door hote. aata asey manale jaate qee nepchyoonchya sthalantaradarmyan prachand anunad karoon vastoo mothya antaravarun gola kelya gelya aahet. pahilya tii. aine. oo. chya shodhachya khoop aadhi asey suchavale gele hote qee vishal grah aanee lahan kananchya vishal discommadhil parasparsanvad, koneey-gatee hastantaranadvare, jupiterla aatalya dishene sthalantarit karel aanee shanee, mutramarg aanee visheshtah neptunela baherchya dishene sthalantarit karel. yaa tulanene qamee kalavadhit, nepchyunche anunad avkashat "zepavanare" asateel, suruvatila vegvegalya suryakendrit kakshanvaril vastoo anunadat adakavoon thevatat.
dnyat loksankhya.
1: 1 anunad (nepchyoon trojan, kalavadhi ~ 164.8 varshe).
surya-nepchyoon lagrangian bindunjaval, nepchyoonchya samaan ardh-pramukh aksh asalelya kakshannantar kahee vastoo sapadalya aahet. (jupiter) trojan laghugrahanchya sadrushyane sambodhale jaanare heey nepchyoon trojan, neptunes 1:1 anunadat aahet. 28 vastoo februwari 2020 paryant olakhalya jaatat. fakt 5 vastoo nepchyoonchya lagrangian binduchya jawal aahet aanee yapaiki ekachi olakh asurakshit aahe; itar nepchyoonchya pradeshat sthit aahet. yavyatirikt, eka tathakathit 'jumping trojan' aahe, jeey sadhya tyaa pradeshatoon, aajubajoola librate karnyapasoon aajubajoola librate karnyavar sankraman karat aahe.
2: 3 anunad ("plutinos", kalavadhi ~ 247.94 varshe).
39. 4 aii. yuu. varr 2h3 anunad hii anunadit vastunmadhye aataparyantchi pramukh shreni aahe. februwari 2020 paryant, tyat 383 pushti jhalelya aanee 99 sambhavya sadasya sansthancha (jase qee) samavesh aahe. yaa 383 pushti jhalelya plutinopacky 338 chya kaksha sakhol grahan sarvekshanadvare chalavalelya anukarananmadhye surakshit aahet. yaa anunadamadhye kakshet yenanya vastoonna pluto yaa asha prakarchya pahilya vastoocha shodh laglyanantar plutino asey naav denyat aale aahe. mothya, kramankit plutinomadhye khaleel goshtincha samavesh hotoh
3: 5 anunad (kalavadhi ~ 275 varshe).
februwari 2020 paryant, 47 vastoo neptunes 3h5 kakshiy anunadat asalyachi pushti jhaali aahe. kramankit vastunmadhye khaleel goshti aaheth
4: 7 anunad (kalavadhi ~ 290 varshe).
vastunchi aanakhi eka sankhya 43.7 au (shastriy vastoonchya madhyabhagi) varr suryachya kakshet pradakshina ghalat aahe. vastoo agadi lahan asatat (done apavad vagalata, etch> 6) aanee tyapaiki bahutek grahankalachya jawalchya kakshet jaatat. 55 4:7 pratidhvanit vastoonchya kakshanna sakhol grahan sarvekshanadvare surakshit kele gele aahe. susthapit kaksha asalelya vastunmadhye khaleel goshtincha samavesh hotoh
1: 2 anunad ("twotinos", kalavadhi ~ 330 varshe).
47. 8 aii. yuu. varcha haah anunad bahutekda quiper pattyachi bahya dhaar manla jaato aanee yaa anunadatil vastoonna kadhikadhi 'twotino' mhanoon sambodhale jaate. done tokanchya done tokanchya tiralepanachi patali 15 anshanpeksha qamee asate aanee samanyatah madhyam utkendrata 0.00 teey 0.3 darmyan asate. 2:1 anunadanchi adnyat sankhya bahudha grahanchya diskmadhye ugam pavaleli navhati jee nepchyoonchya sthalantaradarmyan anunadane vahoon gelee hotee, parantu jevha tee aadhich vikhuraleli hotee tevha pakadali gelee hotee.
yaa anunadamadhye plutinopeksha khoopach qamee vastoo aahet. johnstonchya sangrahat 99 mojale gele aahet tarr sakhol grahan sarvekshanadvare anukaranane februwari 2020 paryant 73 chee pushti kelee aahe.
dirghakalin kakshiy ektrikaran darshavite qee 1:2 anunad haah 2h3 anunadapeksha qamee sthir aahe; 1h2 anunadatil keval 15 takke vastoo 4 jee. aay. aar. madhye tikoon asalyache aadhalale, tarr plutinochya 28 takke. parinami, asey asoo shakate qee done dozen moolatah plutinoitakech sankhyabal hote, parantu tevhapasoon tyanchi loksankhya plutinochya tulanet lakshaniyaritya qamee jhaali aahe.
susthapit kaksha asalelya vastunmadhye (paripoorn parimananusar) samavisht aaheh
2: 5 anunad (kalavadhi ~ 410 varshe).
februwari 2020 paryant 57 pushti kelelya 2h5 pratidhvanit vastoo aahet.
55. 4 aii. yuu. varr susthapit kaksha asalelya vastunmadhye khaleel goshtincha samavesh aaheh
1: 3 anunad (kalavadhi ~ 500 varshe).
johnstonchya sangrahat februwari 2020 paryant 14:1:3 pratidhvanit vastoo mojalya gelya aahet. sakhol grahan sarvekshananusar yapaiki eka dozen surakshit aaheth
itar pratidhvani.
februwari 2020 paryant, maryadit sankhyene vastunsathi khaleel uchch-kramache anunad pushti kele jaatatah
haumia.
haumia haah neptunes 7h12 chya madhyantari kakshiy anunadat asalyache manale jaate. tyache aarohan node sootra _ 1 sumare 4.6 dashalaksh varshanchya kalavadhisah purvaprakriya karate aanee pratipravartan chakrat donada kinwa darr 23 laakh varshanni anunad modala jaato, keval eka laakh varshe kinwa tyahoon adhik nantar parat yeto. marqa bui yala naun-resonent mhanoon patra tharvato.
yogayog viruddha kharey pratidhvani.
eka chinta ashee aahe qee yaa durchya vastoonchya kakshanmadhye achookatechya sadhyachya abhavamule kamkuvat anunad astitvat asoo shakatat aanee teey siddha karane katheen asel. anek vastooncha kakshiy kalavadhi 300 varshanhun adhik asato aanee bahutek kahee varshanchya tulanene lahan nirikshan kamanivarach pahile gele aahet. parshvabhoomichya tanyanviruddhachya tyanchya mothya antaramule aanee santh halchalimule, yapaiki anek durchya kakshanna, anunad kharaa aahe qee keval yogayogane aahe yachee khatri karnyasathi pureshi khatri karoon ghenyasathi, anek dashake lagoo shakatat. kharaa anunad sahajpane dolan karel tarr nikat anunad haah yogayogane prasarit hoil. (aupcharik vyakhyekade pahaa)
2007 madhye emel 'yanenko aanee kiseleva yanni kelelya anukaranatun asey disun yete qee neptunes 3h7 anunadat teey prakashit hott aahe. heey muktikaran 10 kotee teey abjavadhi varshanpeksha qamee kaal sthir rahoo shakate.
emel 'yanenko aanee kiseleva heey dekhil darshavtat qee neptunes 3h7 anunadat asanyachi sambhavyata 1 takkyanpeksha qamee asalyache disate, parantu teey yaa anunadajaval parisancharan chalavate.
aupcharik vyakhyesathi.
tii. aine. oo. chya varganna sarvatrikpane manya kelelya achook vyakhya naheet, seema byavachada aspasht asatat aanee anunad yaa sankalpanechi tantotant vyakhya keleli nasate. sakhol grahan sarvekshanane charahi vishal grahanchya ektrit vikshobhankhali kakshanchya dirghakalin agra ekikaranavar aadharit aupcharikpane paribhashit gatishil varg sadar kele. (shastriy keey. bii. oo. chee aupcharik vyakhya dekhil pahaa)
sarvasadharanpane, mean-motion anunadamadhye keval swarupachya kakshiy kalavadhicha samavesh asoo shakat nahee 
jethe p aanee q heey lahan purnank aahet, λ aanee λn heey anukrame object aanee nepchyunche sarasari rekhansh aahet, parantu tyat periheliyanche rekhansh aanee nodesche rekhansh dekhil samavisht asoo shakatat (prathamik udaharanansathi kakshiy anunad pahaa)
jarr kahee lahan purnankansathi (pii, kyu, aine, emm, aar, ess), khalee paribhashit kelela yuktivad (coone) "librating" (aay.eae. baddh aahe):
jethe sootra 4 heey periheliyache rekhansh aahet aanee sootra 1 heey neptunesathi ('aine' varganisah) aanee anunadit vastusathi (vargani nasaleli), aarohan nodesche rekhansh aahet.
libration' haah shabd yethe kahee mulyabhovati asalelya konache niyatkalik dolan darshavito aanee too 'parisancharan' chya virodhat aahe jithe coone 0 teey 360° paryant serve moolye gheu shakato. udaharanarth, plutochya babatit, anunad coone sootra _ 6 sumare 86.6° anshanchya amplitudes sumare 180° chya aaspas mukt hote, i.eae. haah coone veloveli 93.4° varoon 266.6° paryant badalato.
sakhol grahan sarvekshanadarmyan sapadalele serve naveen plutino yaa prakarche asalyache siddha jhaale
plutochya mean-motion resonancesarkhech.
adhik samanyatah, haah 2h3 anunad heey p: (p + 1) anunadanche eka udaharan aahe (udaharanarth 1:2,2:3,3:4) jeey sthir kakshankade nett asalyache siddha jhaale aahe. tyancha anunad coone aahe
yaa prakaranat, jevha vastoo periheliyanavar asate, tevha i heey lakshat gheuun anunad coone sootra _ 9 chey mahatva samajale jaau shakate.eae. sootra _ 10, mug 
aay.eae. sootra _ 9 nepchyoonpasun vastoochya parighiy antarache mojmap dete.
jarr sootra 9 heey 0° pasoon door asalelya konachya bhovati mukt hote tarr vastuche parigh heey nepchyoonpasun door thevun vikshobhapasun sanrakshit kele jaate.
vargikaran paddhati.
kakshiy ghatak maryadit achookatesah olakhale jaat asalyane, anishchitatemule chukiche sakaratmak (i.eae. jyaa kaksha naheet, tyaa kakshache anunad mhanoon vargikaran). alikadil drushtikonat keval sadhyachya sarvottam-yogya kakshachach navhe tarr nirikshanatmak mahitichya anishchitateshi sambandhit done atirikt kakshanchahi vichar keela jaato. sopya shabdat, nirikshananmadhil trutincha parinam mhanoon, jarr vastuchi vastavik kaksha sarvottam yogya kakshapeksha vegali asel tarr tiche anunad mhanoon vargikaran kele jaeel qee nahee heey algoridam tharavate. teen kaksha eka kotee varshanchya kalavadhit sankhyatmakdrushtya ektrit kelya aahet. jarr tinhi kaksha anunadit rahilyas (i.eae. anunad haah yuktivad mukt karane aahe, aupcharik vyakhya pahaa), anunad vastoo mhanoon vargikaran surakshit manale jaate. jarr teenpaiki keval done kaksha mukt hott asateel tarr vastuche anunadamadhye 'bahudha' mhanoon vargikaran kele jaate. shevati, jarr keval eka kaksha chachani uttirn jhaali, tarr deta sudharanyasathi pudhil nirikshananna protsahit karnyasathi anunad 'aaspas' nondavale jaate. algoridammadhe vaparlya jaanarya ardh-pramukh akshanchi done tokachi moolye jastit jaast 3 manak vichalananchya detachya anishchitateshi sambandhit asalyache nirdharit kele jaate. ardh-aksh mulyanchya asha shrenine, anek gruhitkansah, vastavik kaksha yaa shrenichya palikade asanyachi sambhavyata 0.3 takkyanpeksha qamee kelee pahije. hii paddhat kiman 3 viruddha bhagat pasarlelya nirikshanansah vastoonna lagoo hote.