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Kapitel 14

Gravitation

Gravitation
Gravitation
In the years before Newton, a general belief prevailed that different laws governed objects in the sky than objects on Earth. When Kepler wrote down the ...
Newtons Gesetz der Gravitation
Newtons Gesetz der Gravitation
Our everyday observation tells us that all objects close to the Earth naturally tend to fall to the ground. Early philosophers assumed that this downward ...
Gravitation zwischen kugelsymmetrischen Massen
Gravitation zwischen kugelsymmetrischen Massen
The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, ...
Schwerkraft zwischen kugelförmigen Körpern
Schwerkraft zwischen kugelförmigen Körpern
Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, ...
Reduzierte Massenkoordinaten: Isoliertes Zweikörperproblem
Reduzierte Massenkoordinaten: Isoliertes Zweikörperproblem
In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other ...
Beschleunigung durch Schwerkraft auf der Erde
Beschleunigung durch Schwerkraft auf der Erde
According to Newton's law of gravitation, the gravitational force on a body is proportional to its mass. According to Newton's second law of ...
Beschleunigung durch Schwerkraft auf anderen Planeten
Beschleunigung durch Schwerkraft auf anderen Planeten
The gravitational acceleration of an object near the Earth's surface is called the acceleration due to gravity. It can be measured by conducting ...
Das scheinbare Gewicht und die Erdrotation
Das scheinbare Gewicht und die Erdrotation
Since all objects on the Earth's surface move through a circle every 24 hours, there must be a net centripetal force on each object, directed towards ...
Variation der Beschleunigung aufgrund der Schwerkraft in der Nähe der Erdoberfläche
Variation der Beschleunigung aufgrund der Schwerkraft in der Nähe der Erdoberfläche
An object's apparent weight is its weight measured by a spring balance at its location. It is different from its true weight, the force with which the ...
Potentielle Energie durch Gravitation
Potentielle Energie durch Gravitation
Since gravitational force is a conservative force, the amount of work done to move an object between two points in the gravitational field in which it ...
Das Prinzip der Überlagerung und des Gravitationsfeldes
Das Prinzip der Überlagerung und des Gravitationsfeldes
The principle of superposition applies to gravitational forces of objects that are sufficiently far apart. It states that the net gravitational force on a ...
Fluchtgeschwindigkeit
Fluchtgeschwindigkeit
The escape velocity of an object is defined as the minimum initial velocity that it requires to escape the surface of another object to which it is ...
Zirkuläre Umlaufbahnen und kritische Geschwindigkeit für Satelliten
Zirkuläre Umlaufbahnen und kritische Geschwindigkeit für Satelliten
The Moon orbits around the Earth. In turn, the Earth (and other planets) orbit the Sun. The space directly above our atmosphere is filled with artificial ...
Energie eines Satelliten in einer kreisförmigen Umlaufbahn
Energie eines Satelliten in einer kreisförmigen Umlaufbahn
Thousands of artificial satellites orbit the Earth every day at various distances from the Earth. Satellites that orbit the Earth below an altitude of ...
Keplers erstes Gesetz der Planetenbewegung
Keplers erstes Gesetz der Planetenbewegung
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. He ...
Keplers zweites Gesetz der Planetenbewegung
Keplers zweites Gesetz der Planetenbewegung
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. His ...
Keplers drittes Gesetz der Planetenbewegung
Keplers drittes Gesetz der Planetenbewegung
In the early 17th century, German astronomer and mathematician Johannes Kepler postulated three laws for the motion of planets in the solar system. In ...
Gezeitenkräfte
Gezeitenkräfte
The origin of Earth's ocean tides has been a subject of continuous investigation for over 2000 years. However, the work of Newton is considered to be ...
Schwarzschildradius und Ereignishorizont
Schwarzschildradius und Ereignishorizont
No object with a finite mass can travel faster than the speed of light in a vacuum. This fact has an interesting consequence in the domain of extremely ...
Detektion von Schwarzen Löchern
Detektion von Schwarzen Löchern
Although black holes were theoretically postulated in the 1920s, they remained outside the domain of observational astronomy until the 1970s. Their ...
Äquivalenzprinzip
Äquivalenzprinzip
According to Albert Einstein (1897-1955), free-falling and feeling weightless are intrinsically linked. If a person were in free-fall under gravity, for ...
Raum-Zeit-Krümmung und die Allgemeine Relativitätstheorie
Raum-Zeit-Krümmung und die Allgemeine Relativitätstheorie
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than ...
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