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nikolafmf
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For a hypothetical system of a Sun and Earth (other planets absent), how can I compute analytically (or where can I find data on) the length of the year on Earth?
tiny-tim said:uhh??
it's a year!
DaveC426913 said:Do you mean, given its orbital characteristics, could you calculate its revolution about the sun from first principles?
Kepler's 3rd law applies to elliptical orbits, circular orbits being just a special case. This is very close to what you want. A slight refinement due to Newton says you need to account for the mass of the planet as well. With this slight modification,nikolafmf said:Let's say so. I know that 3. Kepler law gives the time of revolution, but it true for circular orbit. Well, Earth's orbit is almost circular, so may be the result would be good?
D H said:Kepler's 3rd law applies to elliptical orbits, circular orbits being just a special case. This is very close to what you want. A slight refinement due to Newton says you need to account for the mass of the orbiting object as well. With this slight modification,
[tex]P=2\pi\sqrt{\frac{a^3}{G(M_s+M_e)}}=2\pi\sqrt{\frac{a^3}{GM_s(1+M_e/M_s)}}[/tex]
A system refers to a group of objects or entities that are connected and interact with each other in some way. In this case, the Sun and Earth form a system because they are both part of the solar system and have a gravitational and orbital relationship with each other.
The Sun is considered an average star in terms of size, temperature, and lifespan. It is one of billions of stars in our galaxy and there are estimated to be trillions of galaxies in the observable universe.
The average distance between the Sun and Earth is about 93 million miles, or 149.6 million kilometers. This distance is known as an astronomical unit (AU) and is used as a standard unit of measurement for distances within our solar system.
The Sun's energy reaches Earth through a process called radiation. The Sun emits energy in the form of electromagnetic radiation, which includes visible light, ultraviolet light, and infrared radiation. This energy travels through space and reaches Earth, where it is essential for supporting life through photosynthesis and other processes.
Currently, Earth is the only planet in our solar system that is known to have conditions suitable for supporting life. However, there are ongoing studies and explorations of other planets and moons in our solar system that may have the potential for harboring life in the future.