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Umkhangeli zincwadi · Isixhobo 3

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Amanani asithandathu abeka phantsi nayiphi na i-orbit kwisithuba: ubungakanani bayo, imilo yayo, ukujika kwayo, ulungelelaniso lwayo kunye nendawo apho isiqu sikwindawo.

14 min

NASA/JPL/Space Science Institute

Le ncwadi yabhalwa ngu Local Solar System Iqela le-Fundamente lilungu kwaye lingaphuculwa ngumvavanyi oqeqeshiweyo. Ingaba uqeqeshiwe kulo mxholo?

Ibhokisi yesandbox yojikelezo

Vula iphepha elipheleleyo

Yintoni i-orbit? Thumela ibhola ngaphaya kwaye iyakugoba ezantsi ehlabathini. Thumela ngokukhawuleza kwaye iyawela kude. Thumela ngokukhawuleza ngokwaneleyo kwaye indawo iyakugoba phantsi kwayo njengoko ihamba ngokukhawuleza njengoko iwela, ngoko ayizukufika: ihlala iwela phezulu kwiplanethi kwaye ihlala ilahleka. Eli lijikelezo. Akukho nto igcina isatelit phezulu; iwela ixesha lonke.

Izinto ezichaphazela:

Isantya ngoku
Ubude ngoku
Ijikelezo elinye lithatha
Ubude obusezantsi
Ubude obuphezulu

Zama oku

Ibuyela umva Iiplanethi I-Esc

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Iinjongo Zobunzulu Besibhakabhaka

Abaqulunqi beqela lenjongo ethile bachaza i orbit ngamanani amahlanu abizwa ngokuba zizinto ezijikelezayo. Tshintsha apha; ubude nesantya ngasentla ziyalandela.

Ekhawulezayo (i-periapsis)
Ecothayo (apoapsis)
Kepler's 3rd law check: T² / a³
Indlela yokusetyenziswa kwayo
Isantya esithe tye
Lo lawulo olunye lugqiba oko kwenzekayo. Icotha kakhulu kwaye iwela umva. Ikhawuleza ngokwaneleyo kwaye iyajikeleza kwidayimane. Ikhawuleza ngakumbi kwaye ijikeleza ngaphandle kwi ellipse. Ikhawuleza kunesantya sokuyeka kwaye ishiya ngokusisigxina. Ibar emnyama phantsi kwe slider ibonisa apho nganye iqala khona kuphakamo okhethiweyo.
Ubude
Indawo apho iqala khona. Phezulu, uxinzelelo luphantsi, ngoko ke isantya esicothayo siyanele ukuba sihlale kwi orbit.
Isantya sexesha
Ii-orbit ezinyanzelekileyo zithatha iiyure, iintsuku okanye iminyaka, ngoko ke ixesha lihamba ngokukhawuleza apha. Ixesha × 1,000 lithetha ukuba iisekondi nganye kwisikrini yi-1,000 seesekondi (malunga nemizuzu engama-17) kwisithuba. Ukujika kweplanethi kukhawuleziwe ngenani elifanayo. Amanani abonisiweyo asoloko eyona nto inyaniso.
Iindlela eziphantsi
Indlela yegolide emhlaba yindlela ethe ngqo phantsi kwesatellite. Ihlabathi lijikeleza ngaphantsi komsebenzi wokuhamba, ngoko ke ijikelezo ngalinye lidlula kwiindawo ezahlukeneyo.
Iqhosha legolide
Indlela esiya kuyo kwaye ihamba njani ngokukhawuleza: njengoko umtya ude, ngokukhawuleza.
Ukujonga ngaphaya
Rhuqa ujikelezise imboniselo, jikelezisa okanye ucinezele ukuzoba. I-gridi ekhanyayo yiplanethi yehlabathi ye-equator (okanye, ejikeleze ilanga, iplanethi yokuhamba kwehlabathi).
Itheyibhile yedata (umbhalo otshintshiyo)
Umgama kunye nesantya kwinyathelo lexesha elilinganayo elinamashumi mabini anesine lijikeleze i-orbit
Inyathelo lexeshaUmhlathiIsantya ngoku

Amanani asithandathu. Oku kuninzi okufunekayo ukuchaza nayiphi na i-orbit kwinkqubo yelanga, ukusuka kwinyanga ukuya kwi-comete. Funda ukufunda ngazo kwaye ungabeka i-pin apho nayiphi na ihlabathi izakuba khona, iminyaka ezayo.

Umhlaba ubekwe ngasemva kobuso obungwevu benyanga.
Umhlaba ubekwe ngasemva kwenyanga, wathathwa ngefoto yi NASA's Orion spacecraft kwi-Artemis I. Credit: NASA

Amanani asithandathu achaza nayiphi na i-orbit kwinkqubo yelanga.

Bona

Ukuchaza apho i satellite okanye iplanethi ihamba khona, kufuneka uphendule imibuzo emibini:

  1. Ikhulu kangakanani i-orbit?
  2. Isibonakaliso sithini? Ijikeleze okanye ithambileyo?
  3. Ithe tye kangakanani?
  4. Ngaphi na indlela ijonge ukugoba?
  5. Indlela eyiphi inxalenye ethe tyaba ibonisa?
  6. Ngawaphi kwi orbit iqulethe isiqu ngoku?

Impendulo nganye inenani elinye. Ezi nombolo zisithandathu zibizwa ngokuba yi izinto ezijikelezayo, kwaye zichaza nayiphi na i-orbit.

Kwibhokisi yesand, iMolniya orbit iyafakelwa. Iisetilethi zonxibelelwano zaseRashiya zisebenzisa le nto ide, i-orbit ethe tye ukuze zibophele ngeyure phezulu ngasentla apho iisetilethi ezihlala zijikeleza umhlaba zinzima ukuzibona. Khangela Imboniselo yasecaleni ukujonga ukugoba, kwaye udlala ngee-sliders.

Ukuqonda

IzintoIimpawuIzinto ezimiselweyo
I-semi-major axisYenza i-radianUbungakanani
Ubeko lwephjephaeIinketho ze projekti
Ubeko lwephephaI-StencilsUbeko lweplanethi ye-orbit ngokuchasene neplanethi yobhekiso
Ubude be-node enyukayoΩIndlela apho i-orbit idlula khona kwiplanethi yobhekiso ehamba “phezulu”
Incopho yeqela leenkwenkweziωIndawo apho incopho efutshane ibekwe khona, ilinganiselwe ngaphakathi kweplanethi ye-orbit ukusuka kwi-node enyukayo
Ixabiso eliphakathi le anomaly kwixeshaM₀Indawo apho isiqu sikwimo enikiweyo (ixesha)

Iiplanethi, iplanethi yobhekiso ihlala yi ekliptiki, iplanethi yomjikelo wehlabathi, kwaye ulawulo lobhekiso luyi-March equinox. Kwiisetilethi zehlabathi, iplanethi yokubonisa yindawo ethe tye yehlabathi.

Ezinye ixabiso elibalulekileyo:

  • i = 0°: umjikelo ubekwe kwiplanethi yobhekiso. A-M_BAR_IsiJamani geostationary i-satellite ine-i = 0 ne-e = 0 ejikeleza umda wehlabathi.
  • i = 90°: i-polar orbit, edlula phezu kwezi ndawo zombini.
  • i > 90°: ijikeleza umva, ijikeleza ngasemva.
  • I-Molniya orbit isebenzisa i = 63.4 ° ngenjongo: kulo mngcipheko, ubukhulu behlabathi abuyi kukwenza ukuba indawo ejikelezayo ihambe ngokujikeleza i-orbit.

Umphathi

Ii-engile ezintathu ziyiqela elilungisiweyo lokujika. Inqaku kwiplanethi ejikelezayo (x’ ukuya kwi-periapsis, y’ 90° phambili) lithunyelwe kwisiqalo esibhekiswe kuso nguR_z(−Ω) · R_x(−i) · R_z(−ω). Le yindawo efanelekileyo yokutshintsha kwi JPL’ s “Iindawo eziNxulumeneyo zeplanethi”, esetyenziswa yi-orery yewebhusayithi:

x = (cos ω cos Ω − sin ω sin Ω cos i) x′ + (−sin ω cos Ω − cos ω sin Ω cos i) y′

kunye neengcaciso ezifanayo ze-y ne-z.

Iiteyibhile zeplanethi zihlala zinika iintlobo: ubude bexesha lokujikeleza kwelanga ϖ = Ω + ω (isetyenziswa xa i incinci kwaye iΩ ichazwe kakubi), kunye ne ubude obuphakathi L = ϖ + M. Ii-JPL table zidwelisa i-a, e, i, L, ϖ, Ω kunye nenani labo lotshintsho ngekhulu ngalinye, kuba ezinye iiplanethi zihamba ngokucothayo ziphazamise yonke imijikelezo.

Kutheni 63.4°? Earth’s equatorial bulge (the J₂ term) makes the argument of periapsis precess at a rate proportional to (5 cos² i − 1). Iphela xa i cos² i = 1/5, oko kukuthi i = 63.43° okanye 116.57°: “iinkxaso ezibalulekileyo”. Izinto ezihlala ziqhubeka kwingxaki yeentliziyo ezimbini zihamba ngokucothayo kwihlabathi elingenanto; yiyo loo nto iindidi zezinto zisoloko zivela nge ixesha, ixesha apho zisebenza khona.

Zama

Load the Molniya orbit, tick 'Side view', then change the inclination from 63.4 degrees to 0 and to 180. Describe in one sentence what each of the three angle sliders does to the orbit.

Uvavanyo olukhawulezayo

3 imibuzo ekhawulezayo. Khetha impendulo ukuze ubone ukuba ulungile na.

  1. Isiqalelo esingaphi esikuxelela ukuba i orbit ijikeleze njani?

    1. A Ubeko lwephjepha
    2. B Ubeko lwephepha
    3. C I-semi-major axis
    4. D Ixabiso eliphakathi le-anomali
    Bonisa impendulo

    B. Ubeko lwephepha

  2. I-orbit enezinga lokujika elingaphezulu kweeqondo ezili-90 yi:

    1. A Ayikwazi
    2. B Ukuhamba ngasemva: umzimba uhamba ezantsi
    3. C Soloko ijikeleza
    4. D Indlela yelanga neplanethi
    Bonisa impendulo

    B. Ukuhamba ngasemva: umzimba uhamba ezantsi I-Halley's Comet (162 degrees) nenyanga yeNeptune Triton (malunga namaqondo angama-157) zijikeleza ngasemva.

  3. Yintoni iimpawu ezimbini ezichaza ubungakanani kunye nohlobo lwe orbit?

    1. A Uxande kunye ne-node
    2. B Isiphelo sendlela esiphakathi nesiphezulu
    3. C Uphicotho lwe-periapsis kunye ne-mean anomaly
    4. D I-node kunye ne-mean anomaly
    Bonisa impendulo

    B. Isiphelo sendlela esiphakathi nesiphezulu

Iilayini Ezigqibekileyo

  • Idlala nge-interactive
  • Funda isifundo
  • Ukwenza isigqibo
  • Uthathe isifundo

Phawula isifundo sencwadi eneenkcukacha egqityiweyo ukusigcina kwindlela yakho yokuqhubekeka kule sixhobo.

Amagama kule ncwadi eneenkcukacha

IiNkqubo

Eli nqaku lilayisensiwe CC BY-SA 4.0.

Izixhobo kunye neengcebiso zisebenzisa iimodeli ezilula zokufunda kuphela. Akufanele zisetyenziswe ukuqhuba, ucwangciso lwemikhosi okanye nayiphi na intlawulo yokusebenza. Iziqinisekiso azihlawulwanga kwaye azigunyaziswanga. Funda uxanduva lokungasebenzisi imixholo yoqeqesho