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Musomyi · Modire 4

Umuvuduko: i -

Gitoya Itandukanya: i Umuvuduko Bya in Ku Icyo ari cyo cyose Akadomo, NIBA ni na i Ingano: Bya.

12 min

NASA/JPL/Space Science Institute

ku A Local Solar System Itsinda Umunyamuryango na ku A. in iyi Ikintu?

Idirishya ry'Ikirere

Gufungura Ipaji yuzuye

ni A? A na Hasi: Kuri i. Byihuta na. Bihuta na i Nka, Nta narimwe: i na Buri gihe. ni A. A Hejuru; ni Byose i Igihe.

Gushyiraho...:

NONEAHA
Ubuhagarike
Rimwe
Ubuhagarike
Ubuhagarike

iyi

Inyuma Imirongo Gusohoka

·

i Ibintu Na

A Na: Imibare.; i Ubuhagarike na Umuvuduko hejuru.

()
()
Kepler's 3rd law check: T² / a³
Gukoresha
Umuvuduko
Rimwe Igenzura. Na Inyuma. na Uruziga in A Uruziga. na Ibisohoka. Kwiruka Umuvuduko na ya: Buri gihe. Ibara: Umwanyabikoresho munsi i Igishushanyo Ku i Ubuhagarike.
Ubuhagarike
Gutangira. Hejuru, ni, A Umuvuduko ni Kuri in.
Umuvuduko
Real orbits take hours, days or years, so time runs faster here. Time ×1,000 means each second on screen is 1,000 seconds (about 17 minutes) in space. The planet's turning is sped up by the same amount. The numbers shown are always the real ones.
Igice
ku i ni i Inzira: i. i, KURI.
Akambi
ni Himura na Byihuta: i Akambi, i.
Gushakisha
Kuri i Reba, Gusunika Cyangwa Kuri Ihindurangano. Urusobetudirishya ni i Ubwato Bya (Cyangwa, i, i Ubwato Bya).
Ibyatanzwe imbonerahamwe# Umwandiko Igisubizo
Na Umuvuduko ku Igihe Intera i
InteraKuva: i NONEAHANONEAHA

ni A Kwimura Ubwoko: Bya i Inzira:. Koresha buri Umunsi.

Gihinguranya i Idirishya Bya i.
Earth through the Cupola of the International Space Station, which circles the planet about every 90 minutes. Credit: NASA

Gitoya Itandukaniro i Umuvuduko A.

Kureba

in ni Buri gihe Ubuhagarike: ya: Umuvuduko, Nka A ku A -.

  • Kuri i Bya hafi Igitsina, Hejuru.
  • , Hasi.

i Umutuku Akambi i Umuvuduko: & Shyira ku rupapuro… Nka i in, na Gukata nka Inyuma.

Earth does the same thing, just gently because its orbit is almost circular: it moves about 30.3 km/s in early January and about 29.3 km/s in early July.

Gusobanukirwa

i Itandukanya ("", Ki/ bishaje ijambo ya:) i Umuvuduko Ku Icyo ari cyo cyose Akadomo:

v = √( μ · (2/r − 1/a) )

  • v: Umuvuduko
  • μ: i Igenamiterere
  • r: KIGEZWEHO Uburebure Kuva: i Hagati Bya i
  • a - Umurongo fatizo Bya i

Kugenzura…

  • Uruziga (R = A): V = (μ A). ni i Umurongo: Ibipimo Kuva: i.
  • Kuri, R ni, 2 / R ni na V ni.
  • ku Inzira (A →): V = (2) ni i Kwiruka Umuvuduko, in i Ibikurikira >.

Worked example: Earth around the Sun, μ = 1.327 × 10¹¹ km³/s², a = 149.6 million km. At aphelion r = 152.1 million km:

v = √(1.327 × 10¹¹ × (2/1.521 × 10⁸ − 1/1.496 × 10⁸)) ≈ 29.3 km/s.

Umunyeshuri

  • ni in. (Kiligara) ni

ε = v²/2 - μ r = -μ / (2a)

Birenzeho ni i na ku A. ya: V na Kubona -. Ibimenyetso:

  • Shyiraho Umukono Bya ε i: OYA ya: Zeru ya: A, Oya ya: A.
  • Icyo ari cyo cyose Uburebure, i Umuvuduko A. ni A UMWE Ku Rimwe Akadomo Amahinduka i Ingano: Bya i, na i Ibikurikira > Bigyanye - V.

Kuva: - Na: r = A (1. e):

vp = (1. e) (1. e),   v a = (1. e) (1. e)

ni v · v A = μ / a = v, i Umurongo: Umuvuduko ni i * Gitambitse * Bya i Kabiri, OYA i. i Ikibazo.

Gushaka

With the Sun as central body, set a = 1 au and e = 0. Note the speed. Now raise e to 0.6 and compare the fastest and slowest speeds with that number. Is the average of the two equal to the circular speed?

Igisubizo

3 Muhugura Ibibazo. Kuri NIBA ni i Iburyo:.

  1. i - Itandukanya:, Kuri i Umuvuduko Nka i Igitsina Kuri i Gihinguranya Igitsina?

    1. A Byahinduwe
    2. B Byahinduwe
    3. C Bihoraho
    4. D Zeru
    i

    A. Byahinduwe

  2. A (R = A), -:

    1. A v 2.
    2. B v =
    3. C v = μ R
    4. D V = 0
    i

    B. v =

  3. Earth moves about 29.8 km/s around the Sun on average. Roughly how fast at perihelion?

    1. A 29.3 km/s
    2. B 30.3 km/s
    3. C 35 km/s
    4. D 42 km/s
    i

    B. 30.3 km/s v_p = √(μ/a · (1+e)/(1−e)) with e = 0.0167 gives about 30.3 km/s.

Umurongo

  • Na: i
  • i
  • i
  • i

i Byuzuye Kuri Kubika Kuri Impinduka ku iyi APAREYE.

in iyi

Inkomoko

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