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Astronomy and Cosmology
Astronomy and Astrophysics
Calculating Orbital Velocity in 2D
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[QUOTE="Torstein Bjelland, post: 5466492, member: 593261"] Hi! Imagine a planet is alone in a two dimensional universe. It has a mass m[SUB]p[/SUB]. Suddenly, the planet's moon appears out of nowhere. It appears with a distance r from the planet, has a mass m[SUB]m[/SUB] and velocities v[SUB]x[/SUB] in the x-direction and v[SUB]y[/SUB] in the y-direction. The distances r[SUB]x[/SUB] and r[SUB]y[/SUB] are also known. A gravitational force F from the planet acts on the moon. F[SUB]x[/SUB] and F[SUB]y[/SUB] are known, as well as the angle α (see figure in attachment). All variables mentioned above are known. Here is my question: How do you calculate v[SUB]x[/SUB] and v[SUB]y[/SUB] at any point in the moon's trajectory without knowing the semi-major axis, orbital period or what type of orbit the moon is going to enter in the first place? Thank you in advance for all answers! [ATTACH=full]100386[/ATTACH] [/QUOTE]
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Calculating Orbital Velocity in 2D
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