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The Orbits of the Planets Can Be Modeled Easily by Assuming

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The orbits of the planets can be modeled easily by assuming i). that the sun is a perfect sphere and ii). that each planet is influenced only by the gravitational field of the sun (that is, each planet is unperturbed by gravitational forces from other planets, distant stars, etc.). According to Newton's (classical) theory of gravity, these assumptions result in elliptical planetary orbits with the sun at one focus. That is, the orbit can be described by the polar equation The orbits of the planets can be modeled easily by assuming i). that the sun is a perfect sphere and ii). that each planet is influenced only by the gravitational field of the sun (that is, each planet is unperturbed by gravitational forces from other planets, distant stars, etc.). According to Newton's (classical) theory of gravity, these assumptions result in elliptical planetary orbits with the sun at one focus. That is, the orbit can be described by the polar equation   . However, according to Einstein's (relativistic) theory of gravitation, the orbits are more accurately described by   , where   is a constant such that   . Describe how the inclusion of the factor   affects the orbit. That is, compare the classical orbit to the relativistic orbit. How do they differ? Draw figures that summarize the differences in the classical and relativistic orbits. . However, according to Einstein's (relativistic) theory of gravitation, the orbits are more accurately described by The orbits of the planets can be modeled easily by assuming i). that the sun is a perfect sphere and ii). that each planet is influenced only by the gravitational field of the sun (that is, each planet is unperturbed by gravitational forces from other planets, distant stars, etc.). According to Newton's (classical) theory of gravity, these assumptions result in elliptical planetary orbits with the sun at one focus. That is, the orbit can be described by the polar equation   . However, according to Einstein's (relativistic) theory of gravitation, the orbits are more accurately described by   , where   is a constant such that   . Describe how the inclusion of the factor   affects the orbit. That is, compare the classical orbit to the relativistic orbit. How do they differ? Draw figures that summarize the differences in the classical and relativistic orbits. , where The orbits of the planets can be modeled easily by assuming i). that the sun is a perfect sphere and ii). that each planet is influenced only by the gravitational field of the sun (that is, each planet is unperturbed by gravitational forces from other planets, distant stars, etc.). According to Newton's (classical) theory of gravity, these assumptions result in elliptical planetary orbits with the sun at one focus. That is, the orbit can be described by the polar equation   . However, according to Einstein's (relativistic) theory of gravitation, the orbits are more accurately described by   , where   is a constant such that   . Describe how the inclusion of the factor   affects the orbit. That is, compare the classical orbit to the relativistic orbit. How do they differ? Draw figures that summarize the differences in the classical and relativistic orbits. is a constant such that The orbits of the planets can be modeled easily by assuming i). that the sun is a perfect sphere and ii). that each planet is influenced only by the gravitational field of the sun (that is, each planet is unperturbed by gravitational forces from other planets, distant stars, etc.). According to Newton's (classical) theory of gravity, these assumptions result in elliptical planetary orbits with the sun at one focus. That is, the orbit can be described by the polar equation   . However, according to Einstein's (relativistic) theory of gravitation, the orbits are more accurately described by   , where   is a constant such that   . Describe how the inclusion of the factor   affects the orbit. That is, compare the classical orbit to the relativistic orbit. How do they differ? Draw figures that summarize the differences in the classical and relativistic orbits. . Describe how the inclusion of the factor The orbits of the planets can be modeled easily by assuming i). that the sun is a perfect sphere and ii). that each planet is influenced only by the gravitational field of the sun (that is, each planet is unperturbed by gravitational forces from other planets, distant stars, etc.). According to Newton's (classical) theory of gravity, these assumptions result in elliptical planetary orbits with the sun at one focus. That is, the orbit can be described by the polar equation   . However, according to Einstein's (relativistic) theory of gravitation, the orbits are more accurately described by   , where   is a constant such that   . Describe how the inclusion of the factor   affects the orbit. That is, compare the classical orbit to the relativistic orbit. How do they differ? Draw figures that summarize the differences in the classical and relativistic orbits. affects the orbit. That is, compare the classical orbit to the relativistic orbit. How do they differ? Draw figures that summarize the differences in the classical and relativistic orbits.

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Definitions:

Fputc()

A standard library function in C used to write a character to a file or output stream.

Hexadecimal Byte

A data unit consisting of 8 bits represented in hexadecimal format, often used in computing to encode binary information.

EOF

Stands for End of File, a condition in a file or data stream indicating that there is no more data to read.

Sentinel

A special value used in programming to mark the end of a list or signal the occurrence of a certain condition.

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