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Mushandisi Webrowseri · Module 3

Orbital elements

Nhamba dzisina kumbobvira dzaiswa pasi pechiso chepasi: saizi, umbozha, kuomarara, kutendeuka uye nzvimbo iyo chiedza chinopinda.

14 min

NASA/JPL/Space Science Institute

Iyi dzidzo yakanyorwa ne Local Solar System Foundation team member uye inogona kuvandudzwa nemunhu ane ruzivo. Une ruzivo rwekutaura nezvenyaya iyi here? Suggest an edit

Orbit Sandbox

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Chii chinonzi orbit? Kutamba mutambo wepanyama.

Chii chinoitika:

Kukurumidza ikozvino
Kukwira ikozvino
One lap takes
Chiedza chepamusoro
Yakakwira upamhi

Tarisa izvi

Kudzokera kumashure Orbits Escape

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Kugadzirisa orbit (orbital elements neKepler's laws)

Astronomers describe an orbit with five numbers called orbital elements. Change them here; the height and speed above follow.

Yakakwira (periapsis)
Kuoma (apoapsis)
Kepler's 3rd law check: T² / a³
Maitiro ekuishandisa
Kufamba kwepasi
Iyi imwe dzora inosarudza zvazvinoitika. Yakaoma kwazvo uye inobuda kumashure. Yakanaka zvakakwana uye inofamba muchikamu chegumi nemaviri. Yakakwira kupfuura iyo uye inotanga kutenderera kuita ellipse. Yakakwira kupfuura iyo yekudzoka kumhanya uye inosiya kwenguva yakareba. Iyo yakajeka bar pasi pe slider inotiudza kuti ipi inonyanya kutanga pakureba kwawakasarudza.
Kukwira
Kukwira kumusoro, simba rekutiza rakaderera, saka mhepo inenge iri pasi pekutenderera kwezuva inoita kuti zvive nyore kugara muorbit.
Kufamba kwenguva
Nhamba dzakajeka dzemaorbit dzinotora mazuva, maawa kana makore, saka nguva inofamba nekukurumidza. Time ×1,000 zvinoreva kuti imwe neimwe sekondi pascreen inoita 1,000 sekondi (inenge 17 maminitsi) muspace. Kutenderera kweplaneti kunowedzera neimwe neimwe sekondi. Nhamba dziri kuratidzwa ndedzechokwadi.
Ground track
The gold trail on the ground is the path directly below the satellite. Earth turns underneath the orbit, so every lap passes over different places.
Arrow yeGold
Ndeipi nzira iri kutenderera nayo uye kuti inofamba sei: kana arrow yakareba, inoita seyakakwira.
Kutarisa
Dzvanya kuti uite zoom. Iyo yakaoma grid ndiyo yechiedza cheEquator (kana, pamusoro pezuva, iyo yechiedza cheorbit).
Data tafura (text alternative)
Distance and speed at twelve equal time steps around the orbit
Kutanga nguvaDistance from Sun nowKukurumidza ikozvino

Nhamba makumi maviri. Izvi ndizvo zvese zvinotora kuratidzwa kwechimwe chimiro chezuva, kubva paMweya kusvika kune kometa. Kudzidza kuverenga avo uye unogona pin pasi apo chero nyika ichave, makore anotevera.

Kutanga kwezuva kunobva kumashure kwechiedza chezuva.
Pamusoro peMweya, tarisa kumusoro. NASA's Orion spacecraft paArtemis I. Credit: NASA

Zvitatu izvi zvinonzi zviviri zvemarudzi ose ezvisikwa zviri muSolar System.

Ona

Kuti uratidze kuti saiti kana nyika iri kusvikira kupi, unofanirwa kupindura mibvunzo mishoma:

  1. Ini ndinofanira kuisa sei pfungwa dzangu pazvinyorwa?
  2. Ini ndiani? Ndiani anozviita?
  3. Ini handina kumbobvira ndaona mukadzi asina mboro.
  4. Ndini ndinofanira kuisa bhokisi remvura?
  5. Nzira ipi iyo yakapetwa chikamu chinoenda?
  6. Pane sei pa orbit iyo muviri uri ikozvino?

Kana mashoko ese ari maviri akafanana, ipapo bvunzo inotevera ichaitwa. Pamwechete, izvi zvina zvinonzi orbital elements, uye zvinotaura nezve chero orbit.

Mu sandbox, Molniya orbit inoiswa. Saiti dzeRussia dzinoshandisa iyi yakareba, yakasviba orbit kuti dzigare kwenguva refu pamusoro pekumabvazuva, uko geostationary satellites hazvina kunyatsoonekwa. Tick Side view kuti uone kutsvuka, uye shandisa zvishongedzo.

_Zvinyorwa

ChikamuChiratidzoChii chinoita
Semi-makuru axisKuisa mufananidzo_Saizi:
KuzvimiriraeShava
KutendereraKuisa mufananidzoTilt ye orbital plane pamusoro peiyo reference plane
Longitude of the ascending nodeΩNzira iyo orbit inofamba nayo pane imwe nzvimbo yekuti iite “up”
Kutanga kwezuvaωKubva panzvimbo yakati wandei yepasi, inoonekwa seyakaenzana nenzvimbo yechiedza chezuva.
Anomaliya yepakati panguvaM₀Panzvimbo iyo muviri uri panguva yacho (iyo epoch)

Pazvisikwa zvepasi, chiyero chekuenzanisa ndechekuti ecliptic, mufananidzo weobiti yenyika, uye chiyero chekutevera ndechegore regore. Kunyangwe zvazvo ma satellites enyika asiri ekudenga, iwo anotarisana neEquator.

Zvimwe zvinokosha zviyero:

  • i = 0°: orbit iri muchikamu chekuongorora. A geostationary satellite ine i = 0 uye e = 0 pamusoro peEquator yenyika.
  • i = 90°: a polar orbit, kutenderera pamusoro pezvimwe mapoinzi.
  • i > 90°: retrograde, kutenderera kumashure.
  • Molniya orbit inoshandisa i = 63.4° nechinangwa: paiyo tilt, kuoma kwenyika hakuite kuti periapsis iende kure neorbit.

Munyori

Mativi matatu aya anosanganisirawo zviuru zvezvimwe zvidimbu. Nzvimbo mu orbital plane (x′ kuenda kuperiapsis, y′ 90° pamberi) inoendeswa mu reference frame ne R_z(−Ω) · R_x(−i) · R_z(−ω). Izvi ndezvekushandurwa kweJPL’s “Approximate Positions of the Planets”, iyo orrery yesaiti inoshandisa:

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

uye zvakafanana mazita e y ne z.

Temberi dzeplanethi dzinopawo zviyero zvakasiyana: longitude yeperihelion ϖ = Ω + ω (inokosha kana i iri shoma uye Ω isina kunyatsozivikanwa), uye mean longitude L = ϖ + M. JPL mapepa anonyora a, e, i, L, ϖ, Ω nemitengo yavo yeshanduko pazana remakore, nekuti dzimwe nyika dzinokanganisa nguva dzose.

Chii chinonzi 63.4°? Earth’s equatorial bulge (the J₂ term) makes the argument of periapsis precess at a rate proportional to (5 cos² i − 1). Inotanga kuomarara kana cos² i = 1/5, i.e. i = 63.43° or 116.57°: “critical inclinations”. Zvimwe zvinhu zvinoramba zvakaenzana munyaya yezviviri-zvisikwa zvinofamba zvishoma nezvishoma muhupenyu hwechokwadi; izvi ndizvo zvinoita kuti zvinhu zviviri zvive nesimba rakafanana. epoch, nguva dzavanoshanda.

Tarisa

Kuisa Molniya orbit, tinya 'Kuona kubva kumashure', wozochinja kutendeuka kubva pa 63.4 degrees kusvika pa 0 uye pa 180. Dzvanya pane imwe nyaya kuti uone kuti ndeipi yeatatu ma sliders anoita sei kune iyo orbit.

Chidzidzo chekukurukura

3 nhanho mibvunzo. Choose mashoko kuti uone kana iwe uri zvakanaka.

  1. Ndeipi chinhu chinokuudza kuti sei orbit iri kutsvuka?

    1. A Kuzvimirira
    2. B Kutenderera
    3. C Semi-makuru axis
    4. D Anomaliya yepakati
    Kuratidza mhinduro

    B. Kutenderera

  2. Orbit ine inclination yakakura kupfuura 90 degrees inonzi:

    1. A Inogona kunge iri
    2. B Retrograde: muviri unofamba kumashure
    3. C _Dzokera kumusoro
    4. D Kumusoro kwe Solar system
    Kuratidza mhinduro

    B. Retrograde: muviri unofamba kumashure Halley's Comet (162 degrees) uye Neptune's moon Triton (anenge 157 degrees) ndezvekudzokera kumashure.

  3. Ndezvipi zviviri zvinotaura nezvekukura uye umbozha hweorbit?

    1. A Kutenderera uye node
    2. B Semi-makuru axis uye eccentricity
    3. C Argument ye periapsis uye inoreva anomaly
    4. D Node uye inoreva anomaly
    Kuratidza mhinduro

    B. Semi-makuru axis uye eccentricity

Kusvika pakupera

  • Yakatamba neyakaenzana
  • Ona dzidziso
  • Akakunda chipingamupinyi
  • Akatora chidzidzo

. Kuchengeta kuenderera mberi kwebasa pane iyi kifaa, tinya paKunyora.

Mashoko mubhuku rino

Zvinyorwa

Iyi dzidzo ine mubhadharo CC BY-SA 4.0.

Zvigadzirwa uye zvidzidzo zvinoshandisa mamodheru akapusa ekudzidza chete. Hazvifanirwe kushandiswa kune yekufambisa, kumisikidza chiitiko kana chero chisarudzo chekushanda. Dzvanya pano kuti uwane ruzivo nezvezvinyorwa zvedzidzo