Difference between revisions of "Orbital Dynamics"
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'''Orbital dynamics''' is the study of the motion of objects in the presence of [[gravitational forces]] of other bodies, due to [[gravity]]. All bodies provide a gravitational pull on other bodies surrounding it. | '''Orbital dynamics''' is the study of the motion of objects in the presence of [[gravitational forces]] of other bodies, due to [[gravity]]. All bodies provide a gravitational pull on other bodies surrounding it. | ||
| − | + | The motion of one body about another body due to [[gravity]], is known as an Orbit. [[Orbits]] are described by a body of theory called "[[Orbital Dynamics]]". [[Kepler]] discovered that in [[Newtonian]] [[Physics]], which ignore [[Einstein]]'s theories of [[relativity]], orbits are [[elliptical]] in shape, at least for the simple case of one body orbiting another body without any influence from any third body. [[Kepler's Laws]] are three [[equations]] which describe elliptical orbits, and still hold true today. | |
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==Newton's Law of Gravity== | ==Newton's Law of Gravity== | ||
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The force exerted by two bodies on each other is given by | The force exerted by two bodies on each other is given by | ||
| − | + | <math>F = \frac{Gm_{1}m_{2}}{r^{2}}</math> | |
where G is the [[Universal Gravitational Constant]] whose value is 6.67300 × 10<SUP>-11</SUP> m<SUP>3</SUP> kg<SUP>-1</SUP> s<SUP>-2</SUP>, <math>m_1</math> is the mass of the first body, <math>m_2</math> is the mass of the second body, and r is the distance between them. | where G is the [[Universal Gravitational Constant]] whose value is 6.67300 × 10<SUP>-11</SUP> m<SUP>3</SUP> kg<SUP>-1</SUP> s<SUP>-2</SUP>, <math>m_1</math> is the mass of the first body, <math>m_2</math> is the mass of the second body, and r is the distance between them. | ||
| − | {{Stub}} | + | {{Physics Stub}} |
Revision as of 13:45, 19 April 2007
Orbital dynamics is the study of the motion of objects in the presence of gravitational forces of other bodies, due to gravity. All bodies provide a gravitational pull on other bodies surrounding it.
The motion of one body about another body due to gravity, is known as an Orbit. Orbits are described by a body of theory called "Orbital Dynamics". Kepler discovered that in Newtonian Physics, which ignore Einstein's theories of relativity, orbits are elliptical in shape, at least for the simple case of one body orbiting another body without any influence from any third body. Kepler's Laws are three equations which describe elliptical orbits, and still hold true today.
Newton's Law of Gravity
The force exerted by two bodies on each other is given by
<math>F = \frac{Gm_{1}m_{2}}{r^{2}}</math>
where G is the Universal Gravitational Constant whose value is 6.67300 × 10-11 m3 kg-1 s-2, <math>m_1</math> is the mass of the first body, <math>m_2</math> is the mass of the second body, and r is the distance between them.
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