nach oben

Erschienen in:

2014 | OriginalPaper | Buchkapitel

5. Satellite in Keplerian Orbit

verfasst von : Michel Capderou

Erschienen in: Handbook of Satellite Orbits

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

The position of a body orbiting in a Keplerian motion is defined by the 6 Keplerian elements. From now on, we shall be mainly concerned with the periodic motion of a body, the artificial satellite, in the gravitational field of the Earth.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel Keplerian Motion

Nächstes Kapitel Satellite in Real (Perturbed) Orbit

In latin, satelles, satellitis was a bodyguard, soldier, assistant, or accomplice. The origins of the word are obscure. Some claim an Etruscan origin. The word satelite appears in French around 1265 to denote an armed man who carries out the orders of a commander, then in the form satellite, around 1500, to refer to a man depending in some way on another, or accompanying another. It was Kepler, in 1611, who gave it the modern meaning of “satellite” in the Latin term satelles, which he used to refer to the four satellites of Jupiter, recently discovered by Galileo with his refracting telescope. He wrote: De quattuor Jovis satellibus erronibus, that is, “Concerning the four wandering companions of Jupiter”. The term “artificial satellite” appeared around 1950.

In many languages, “satellite” is expressed by a word coming directly from the Latin term modernised by Kepler, as in the Latin and Anglo-Saxon languages. In others, it is the word for “moon” which is used, as in Arabic, qamar ṣanā’i, meaning “artificial moon”.

However, certain languages have kept to the first idea of satelles. In modern Greek, the satellite is still a bodyguard, since it is called doryphoros, ὁ δορυφόρος, ου, “armed with a spear”, built up from τὸ δόρυ, ατος, “spear”, and the suffix φορός, “which carries”. In Russian, sputnik is the travel companion (put, “way”). In Chinese, the satellite is called wei xing, “guardian star”, a word written with the two ideograms wei, “guard”, and xing, “star”. The same form is found in Japanese.

From the old French orbite, first attested in 1314. It derives from the Latin orbita, æ,a, æ meaning “mark left by a wheel”, then “closed curve described by a heavenly body”. The word made its appearance in astronomy in the seventeenth century, then in astronautics in around 1950 for artificial satellites.

Leonhard Euler (1707–1783) was a prolific Swiss mathematician whose work ranged over all the mathematics of the day. He was the first to develop the idea of a function of a variable, usually denoted f(x), applying it to exponential, logarithmic, and trigonometric functions in his Introduction in analysis infinitorum (1748). He introduced the notation e, π, and i, and obtained the celebrated result

$$\displaystyle{\mathrm{{e}}^{\mathrm{i}\pi } + 1 = 0\;.}$$

He also invented graph theory, applying it to solve (negatively) the problem of the seven bridges of Königsberg, and worked on convex polyhedra, showing that there are exactly five Platonic solids.

In mechanics, and in particular in his Mechanica sive motus scientia analytica exposita (1736), he analysed the motion of a material point using Euler angles and Euler variables. His clear expositions revolutionised algebra, geometry, and number theory.

In astronomy, he studied the mutual perturbations of Saturn and Jupiter in Theoria motuum planetarium et cometarum (1744), the precession of the equinoxes (1749), the restricted three-body problem, and the motion of the Moon (1772).

Gerolamo Cardano (1501–1576), known in English as Jerome Cardan, was an Italian mathematician. He found a way of solving third order polynomial equations. He invented a mechanical device, the Cardan suspension, that could make a compass insensitive to a ship’s motion. The names of the Cardan angles, roll, pitch, and yaw, are borrowed from naval vocabulary. Doctor, astrologer, and generally unusual character, Cardan is said to have stopped eating so that he could die on the day he had predicted using his horoscope!

Titel: Satellite in Keplerian Orbit
verfasst von: Michel Capderou
Verlag: Springer International Publishing
Buch: Handbook of Satellite Orbits
Print ISBN: 978-3-319-03415-7

Electronic ISBN: 978-3-319-03416-4

Copyright-Jahr: 2014
DOI: https://doi.org/10.1007/978-3-319-03416-4_5

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Premium Partner